Answer:
the student calculated the marginal relative frequency which is the 20.7/29 =71.4% the joint relative frequency =20.7
Step-by-step explanation:
Deshawn's detailing is a service that details cars at the customers' homes or places of work. deshawn's cost for a basic detailing package is $40, and he charges $75 for this service. for a total price of $90, deshawn will also detail the car's engine, a service that adds an additional $20 to the total cost of the package. what is deshawn's marginal benefit if he sells a basic detailing package?
Deshawn's marginal benefit if he sells a basic detailing package is: $15
What is marginal benefit?A marginal advantage or benefit is a modest but demonstrable benefit that a buyer receives by purchasing an additional unit of an item or service.
As a customer decides to consume more of a single commodity, the marginal benefit typically decreases.
What is the explanation justifying the above answer?The following information about a car detailing service is given,
Cost basic detailing package = S40 Price of basic detailing package = $75 Value of detailing car's engine adds to the cost = $20 Price of basic package + car' s engine detailing = $90(a) The marginal advantage or benefit is the extra benefit obtained by selling an additional unit. Because the detailing package costs $75, the profit from selling an extra item is $75. If DeShawn sells the standard bundle, the marginal benefit is $75.
(b) The marginal cost is the incremental cost of generating one more unit of output.
Because the worth of the detailing car's engine adds $20 to the bill. As a result, the marginal cost of include engine detailing in the basic detailing package is $20.
(c) Compare the marginal benefit and marginal cost of offering engine detailing service to decide whether to give engine detailing service. The marginal cost of engine detailing service is twenty dollars.
DeShawn provides this service as part of the base package for S90, thus the marginal benefit is $15 [=$90 - $75].
DeShawn should not provide engine detailing services since the marginal benefit is less than the marginal expense of doing so.
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Can y’all tell me if these are right or no
Answer: Look on Math-way
Step-by-step explanation: Math-way is an math app that helps with stuff like this. Also gives you step by step help.
Which number line shows the solution set for startabsolutevalue h minus 3 endabsolutevalue less-than-or-equal-to 5? a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded. a number line going from negative 8 to positive 8. closed circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything between the points is shaded. a number line going from negative 8 to positive 8. open circles are at negative 2 and positive 8. everything to the left of negative 2 and to the right of positive 8 is shaded.
closed circles are at negative 2 and positive 8. everything between the points is shaded.
We have the equation:
|h - 3| \(\leq\) 5
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|h - 3| \(\leq\) 5
as:
(h - 3) \(\leq\) 5
or
-(h - 3) \(\leq\) 5
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
h \(\leq\) 8
Now from the other equation, we can get the other solution:
h \(\geq\) -2
Then the correct option is:
closed circles are at negative 2 and positive 8. everything between the points is shaded.
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ILL GIVE BRAINLIEST IF YOU DO THIS CORRECT
______________________________
1.) \(\bold{2x+4=3(2x+1)}\):This is a solvable equation where x has a specific number. This means x can only be equal to one thing, otherwise it would make the problem untrue.\(x=\frac{1}{4},0.25\)2.) \(\bold{3(2x+1)-2=8x+1-2x}\):This is a solvable equation where x has a specific number. This means x can only be equal to one thing, otherwise it would make the problem untrue. \(x=-\frac{1}{2},-0.5,1\)3.) \(\bold{5(x-2)+4=2x-6+3x}\):When you solve this, x could equal anything, meaning it has infinite solutions. \(x=\) (- ∞, ∞)4.) \(\bold{2x(x-4)+5x=7x+5}\):You can't solve this. No matter what you put for x, it wouldn't make the equation true. So this means it has no solutions.\(x=\) Nothing.______________________________
Which of the following is true of the first step in evaluating change outcomes? Group of answer choices Every type of data that can be collected should be collected. The benefits of the data should be weighed against the costs. Analysis of change effects based on insignificant data is often informative. Data should be collected at irregular intervals.
The correct answer is: The benefits of the data should be weighed against the costs.
This is because the first step in evaluating change outcomes is to determine what data should be collected and how it will be collected.
While it is important to collect as much data as possible, it is also important to consider the costs of collecting and analyzing the data.
The data collected should be relevant to the outcomes being evaluated, and should be collected at regular intervals to track progress over time.
It is not productive to analyze change effects based on insignificant data, as this can lead to inaccurate conclusions.
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a jeweler makes a pair of earrings by cutting two 50 degrees sectors from a silver disk. if the weight of the silver disk is 2.3 grams, how many miligrams does the silver wedge for each earring weigh?
To answer your question, we need to use some geometry and conversion factors. The two 50-degree sectors cut from the silver disk form a wedge shape, which we can calculate the volume of.
First, we need to find the radius of the original silver disk. We know that the angle of each sector is 50 degrees, which is 1/5 of a full circle (360 degrees). So, the circumference of the circle would be divided into five equal parts. The formula for circumference is C = 2πr, where r is the radius. Therefore, we can set up the equation 5C/5 = 2πr, or C = (2πr)/5. We know that the weight of the silver disk is 2.3 grams, so we can assume that the density of silver is 10.5 grams per cubic centimeter. Using these values, we can solve for the radius:
2.3 g / (10.5 g/cm^3) = V
V = 0.219 cm^3
C = (2πr)/5
C = (2π)(r) / 5
0.219 = (2π)(r) / 5
r = 0.0878 cm
Now that we know the radius, we can calculate the volume of each earring wedge. The formula for the volume of a wedge is V = (1/6)πh^2(3R-h), where h is the height of the wedge and R is the radius of the original circle. Since we cut two 50-degree sectors from the circle, the central angle of the wedge is 100 degrees, or 5/9 of a full circle. We can use this angle to find the height of the wedge:
100/360 = h / 0.0878
h = 0.0242 cm
Now we can calculate the volume of each wedge:
V = (1/6)π(0.0242)^2(3(0.0878)-0.0242)
V = 0.000069 cm^3
Finally, we can convert this volume to milligrams using the density of silver:
0.000069 cm^3 x 10.5 g/cm^3 x 1000 mg/g = 0.7245 mg
So the silver wedge for each earring weighs approximately 0.725 milligrams.
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Clearview Public Schools tested all of their elementary students several years ago and found that 64% of them could read at an appropriate grade level. Concerned about the impact of the pandemic, this year they collected a random sample of 300 students from the school district and found that 163 could read at the appropriate grade level. Is there enough evidence to conclude at the 5% significance level that the percentage of students who can read at an appropriate grade level has decreased?
show all 7 steps of hypothesis testing to receive full credit. If using your calculator or JMP, provide a brief summary of the function and inputs you used to obtain your test statistic and p-value.
To calculate the test statistic and p-value, we substitute the given values into the formula in Step 4 and compare the test statistic to the critical value in Step 6. If the test statistic is less than the critical value, we reject the null hypothesis.
To conduct the hypothesis test to determine if there is enough evidence to conclude that the percentage of students who can read at an appropriate grade level has decreased, we can follow the seven steps of hypothesis testing:
Step 1: State the hypotheses.
- Null hypothesis (H₀): The percentage of students who can read at an appropriate grade level has not decreased.
- Alternative hypothesis (H₁): The percentage of students who can read at an appropriate grade level has decreased.
Step 2: Formulate an analysis plan.
- We will use a one-sample proportion hypothesis test to compare the sample proportion to the hypothesized population proportion.
Step 3: Collect and summarize the data.
- From the random sample of 300 students, 163 were found to be able to read at an appropriate grade level.
Step 4: Compute the test statistic.
- We will calculate the test statistic using the formula:
z = (p - P₀) / √[(P₀ * (1 - P₀)) / n]
where p is the sample proportion, P₀ is the hypothesized population proportion, and n is the sample size.
Step 5: Specify the significance level.
- The significance level is given as 5% or 0.05.
Step 6: Determine the critical value.
- The critical value for a one-tailed test with a significance level of 0.05 is approximately 1.645 (obtained from a standard normal distribution table).
Step 7: Make a decision and interpret the results.
- If the test statistic falls in the critical region (i.e., less than the critical value), we reject the null hypothesis. Otherwise, if the test statistic does not fall in the critical region, we fail to reject the null hypothesis.
To calculate the test statistic and p-value, we substitute the given values into the formula in Step 4 and compare the test statistic to the critical value in Step 6. If the test statistic is less than the critical value, we reject the null hypothesis.
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An insurance company states that their claim office is able to process all death claims within 5 working days. Recently there have been several complaints that it took longer than 5 days to process a claim. Top management wants to make sure that the situation is status quo and sets up a statistical test with a null hypothesis that the average time for processing a claim is not more than 5 days, and an alternative hypothesis that the average time for processing a claim is greater than 5 days. After completing the statistical test it is concluded that the average exceeds 5 days. However, it is eventually learned that the mean process time does not exceed 5 days. What type of error occurred in the statistical test
The type of error that occurred in the statistical test is a Type I error (false positive).
In the given scenario, the statistical test resulted in the conclusion that the average time for processing a claim exceeds 5 days. However, it is later discovered that the mean process time does not actually exceed 5 days. Based on this information, the type of error that occurred in the statistical test is a Type I error.
Type I error, also known as a false positive, refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis stated that the average time for processing a claim is not more than 5 days. However, due to some statistical variability or other factors, the test incorrectly led to the rejection of the null hypothesis, concluding that the average time does exceed 5 days.
In reality, when it was later discovered that the mean process time does not exceed 5 days, it indicates that the initial conclusion drawn from the statistical test was incorrect. This erroneous conclusion could have been caused by various factors such as sampling variability, measurement errors, or other random fluctuations in the data.
It is important to note that Type I errors can occur in hypothesis testing, and they represent the risk of incorrectly rejecting a true null hypothesis. In this case, the insurance company made a Type I error by concluding that the average processing time exceeds 5 days, even though it was not the case.
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As you have seen, relativistic calculations usually involve the quantity When is appreciably greater than we must use relativistic formulas instead of Newtonian ones. For what speed (in terms of is the value of greater than (b) 10
greater than 1 ; (c) 100
greater than 1
The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.
To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.
(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.
(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.
(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.
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Jimmy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 student tickets for a total of $57. The school took in $43 on the second day by selling 1 senior citizen ticket and 9 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.
The price of a senior citizen ticket is $29 and the price of a student ticket is $8. Check:3(29) + 9(8) = 57, so equation 1 is true.1(29) + 9(8) = 43, so equation 2 is also true. Thus, the solution is correct.
Let's assume that the price of a senior citizen ticket is x and the price of a student ticket is y. Using the given information from the problem, we can create a system of two linear equations to solve for x and y, which are as follows:3x + 9y = 57 (equation 1)x + 9y = 43 (equation 2)Solving equation 2 for x, we get:x = 43 - 9yNow, substitute the value of x into equation 1, then solve for y:3(43 - 9y) + 9y = 57.
Simplifying the left side of the equation, we get:129 - 18y + 9y = 57Simplifying further, we get:-9y = -72y = 8Substitute y = 8 into equation 2 to find x:x + 9y = 43x + 9(8) = 43x + 72 = 43x = 43 - 72x = -29Therefore, the price of a senior citizen ticket is $29 and the price of a student ticket is $8. Check:3(29) + 9(8) = 57, so equation 1 is true.1(29) + 9(8) = 43, so equation 2 is also true. Thus, the solution is correct.
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what is ml to quarts?
One millimeter is equal to 0.00106 of U.S. liquid quarts. Simply multiply any number of ml with the given value of liquid quarts to convert and find volume.
An object's or space's three-dimensional extent can be measured using a volumetric unit of measurement. Capacity is measured by volume. Consequently, the volumetric unit is essentially a unit for gauging the size or extent of an object or space.
Typically, the unit is used to describe the volume of products or liquids. To measure a quantity of something, use the International System of Units. Despite the fact that people speak different languages, the SI Units are used globally to communicate the measurements used in research settings.
Cubic meters, liters, and milliliters are the three most popular SI units for measuring volume. Specifically, the cubic meter as the unit of volume in the SI system.
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Which expression is equivalent to (-4x²)³?
-12x6
-12x5
-64x6
-64x5
Answer:
-64x^6
Step-by-step explanation:
Alan's Auto Wash had revenues of $18 from 3 customers. In all, how many customers does Alan's
Auto Wash need to serve in order to have a total of $42 in revenue? Assume the relationship is
directly proportional.
Answer:
7 customers
Step-by-step explanation:
Alan's Auto Wash
18/3=6
42/6=7
The answer is 7 because it is 6 dollars for one car wash.
Answer:
7 customers
Step-by-step explanation:
please let me know if you would like an explanation.
Among the 20 prates of the Flightless Folly crew. 4 of them own a pet crab each. What percentage of prates on board the ship own a pet crab?
We need to find the percentage of prates own a pet crab
There are 20 prates
4 of them own pet
Then we need the percent of 4 out of 20
We will divide 4 by 20 and multiply the answer by 100%
\(\frac{4}{20}\times100\)We will simplify it
\(\frac{1}{5}\times100=20\)The percentage of prates on the ship own a pet is 20%
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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10
वाल
8
What is the
solution to
this system
of equations?
6
4-
2+
([?]
-2
8
10
2
Answer:
(7, 4)
Step-by-step explanation:
The solution to the system of the 2 equations represented on the graph by the two lines is the c
x and y coordinates of the point where the two lines intersect.
They intersect at when x = 7, y = 4.
Therefore, the solution to the system of equations would be (7, 4).
Pls help ASAP thanks :P
2y-4x=-18 slope intercept form
Answer:
y=−2x−9
Step-by-step explanation:
Andrew brought two mushrooms plants. after 2 days his enoki mushrooms was 3.9 centimeters tall. after 5 days . it was 4.8 centimeters tall . he trackled the growth of his portobello mushroom over that same period and represented it's growth with the equation y=0.2x + 4.1 where y is the height of the portobello mushroom in centimeters and x is the number of days since he brought it . which mushroom is growing at a faster rate ? how much faster ?
The portobello mushroom was growing faster.
Given that, Andrew has two mushrooms, he recorded their height, enoki mushroom was 3.9 centimeters tall, after 5 days, it was 4.8 centimeters tall.
Also, the height of the portobello mushroom is given by equation,
y = 0.2x + 4.1, where y is the height of the portobello mushroom in centimeters and x is the number of days since he brought it,
So,
Considering the portobello mushroom height, after 5 days,
y = 0.2(5) + 4.1 = 5.1 cm
And the enoki mushroom was 4.8 cm tall on its 5th day,
Since, the height of portobello mushroom is more than enoki mushroom on 5th day.
Hence, the portobello mushroom was growing faster.
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1. 20% of the items manufactured by a certain process are known to be defective. 18 items are chosen at random. a. how many would you expect to be defective? explain briefly what this means. b. find the probability that at least 4 are defective. give a numerical answer.
The expected number of defective items and the probability of at least 4 are defective is equal to 3.6 and 0.370 or 37.0%.
Total number of items 'n' = 18
Probability of an item being defective 'p' =20%
= 0.2
Expected number of defective items,
Use the formula for the expected value of a binomial distribution,
E(X) = np
where X is the number of defective items.
Plug in the values we have,
E(X) = 18 x 0.2
= 3.6
Expect average items out of 18 to be defective = 3.6 .
Probability that at least 4 items are defective,
Calculate the probability of 4, 5, 6, ..., 18 defective items
Use the complement rule to simplify it,
P(at least 4 defective)
= 1 - P(less than 4 defective)
Using the CDF function,
'binomcdf' is the binomial cumulative distribution function.
18 is the number of trials,
0.2 is the probability of success,
And 3 is the maximum number of successes
P(less than 4 defective)
= binomcdf (18, 0.2, 3)
= P(X <= 3)
=\(\sum_{x=0}^{3}\) ¹⁸Cₓ × (0.2)^x × (0.8)^(18-x)
= ¹⁸C₀× (0.2)^0 × (0.8)^(18-0) + ¹⁸C₁× (0.2)^1 × (0.8)^(18-1) + ¹⁸C₂× (0.2)^2 × (0.8)^(18-2) + ¹⁸C₃× (0.2)^3 × (0.8)^(18-3)
= (0.8)^(18) + 18× (0.2) × (0.8)^(17) + 153 × (0.04) × (0.8)^(16) + 1632× (0.008) × (0.8)^(15)
= 0.630
Plug in the values,
P(at least 4 defective)
= 1 - 0.630
= 0.370
Therefore, the expected items to be defective and probability that at least 4 items out of 18 are defective is equal to 3.6 and 0.370 or 37.0%.
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Reuters reports that 15 percent of australians smoke. by introducing tough laws banning brand labels on cigarette packages, australia hopes to ultimately reduce the percentage of people smoking to 10%. answer the following questions based on a sample of 240 australians..
The mean of the sampling distribution of proportion is 0.15
The probability the sample proportion will be within 0.04 of the population proportion is 0.9182
The probability the sample proportion that will be within 0.02 of the population proportion is 0.6157
P(Smokers) in Australia= 15/100=0.15
Sample, n =240
Part a, The mean of the sampling distribution of proportion:
μ₂ = P(Smokers)
= 0.15
The mean of the sampling distribution of proportion is 0.15
The standard deviation of the sampling distribution of proportion is,
δ \(=\sqrt{p\frac{(1-p)}{n} }\)
\(=\sqrt{0.15\frac{(1-0.15)}{240} }\)
\(=0.0230\)
The standard deviation of the sampling distribution of proportion is 0.0230
Part b, The probability the sample proportion will be within +/-0.04 of the population proportion:
To find this, we first, compute the z score then find probability based on standard normal table.
For 0.15-0.04, p=0.11 and converts to:
\(z=\frac{p-u_{p} }{standard deviation} \\\)
\(=\frac{0.11-0.15}{0.0230}\)
= -1.74
For 0.15+0.04, p=0.19, and converts to:
\(z=\frac{0.19-0.15}{0.0230}\)
= 1.74
From the standard normal distribution table, the associated probability for z values and subtracts the probability is,
\(=p(-1.74\leq z\leq 1.74)\)
\(=0.9591-0.0409\)
\(=0.9182\)
Hence, the probability the sample proportion will be within 0.04 of the population proportion is 0.9182
Part c, the probability the sample proportion will be within 0.02 of the population proportion:
First, compute the z score then find probability based on standard normal table.
For 0.15-0.02, p=0.13, and converts to:
\(=\frac{0.13-0.15}{0.0230}\)
=-0.87
For 0.15+0.02, p=0.17, this converts to:
\(=\frac{0.17-0.15}{0.0230}\)
=0.87
From the standard normal distribution table, the associated probability for z values and subtracts the probability is,
\(=p(-0.87\leq z\leq 0.87)\)
\(=0.8079-0.1922\)
\(=0.6187\)
Hence, the probability the sample proportion will be within 0.02 of the population proportion is 0.6157
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the
net migration is confusing me. i thought of using the formula:
[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration?
do i p
The value of the rate of growth in Japan is - 0.55.
From the question above, :Birth rate = 7.7 per thousand
Death rate = 9.8 per thousand
Net migration = 0.55 per thousand
The rate of growth can be calculated using the following formula:
r = (birth rate - death rate) + net migration
Where,r = rate of growth
birth rate = number of live births per thousand in a population in a given year
death rate = number of deaths per thousand in a population in a given year
net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year
Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.
Therefore, the rate of growth in Japan is - 0.55.
Your question is incomplete but most probably your full question was:
thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total
population • 100 but im not sure how to do it with net migration.
Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan
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what is the average rate of change between:
X = 1 and X=2?
X=2 and X=3?
X=3 and X=4?
the average rate of change between x = 1 and x = 2, x = 2 and x = 3, and x = 3 and x = 4 is -10 for each interval.
Calculate the average rate of change between two points, we use the formula:
Average Rate of Change = (change in y) / (change in x)
Let's calculate the average rate of change between the given x-values:
A. Between x = 1 and x = 2:
Change in x = 2 - 1 = 1
Change in y = f(2) - f(1), where f(x) = -10x + 2
f(2) = -10(2) + 2 = -20 + 2 = -18
f(1) = -10(1) + 2 = -10 + 2 = -8
Change in y = -18 - (-8) = -18 + 8 = -10
Average Rate of Change = (-10) / (1) = -10
B. Between x = 2 and x = 3:
Change in x = 3 - 2 = 1
Change in y = f(3) - f(2)
f(3) = -10(3) + 2 = -30 + 2 = -28
f(2) = -10(2) + 2 = -20 + 2 = -18
Change in y = -28 - (-18) = -28 + 18 = -10
Average Rate of Change = (-10) / (1) = -10
4. Between x = 3 and x = 4:
Change in x = 4 - 3 = 1
Change in y = f(4) - f(3)
f(4) = -10(4) + 2 = -40 + 2 = -38
f(3) = -10(3) + 2 = -30 + 2 = -28
Change in y = -38 - (-28) = -38 + 28 = -10
Average Rate of Change = (-10) / (1) = -10
Therefore, the average rate of change between x = 1 and x = 2, x = 2 and x = 3, and x = 3 and x = 4 is -10 for each interval.
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Point N is on line segment MO. Given MN = 16 and NO = 2, determine the
length MO.
Answer: MO =
Submit Answer
attempt 2 out of 2
Answer:
Step-by-step explanation:
MO = MN + NO
= 16 + 2
= 18
Which of the following quantities are directly proportional? Amount of candy you can buy and the price if the amount of money you spend is constant.
Answer:
Not directly proportional
Oh and can you give me brainliest
There is a piece of cardboard in the shape of an equilateral triangle (the measures of its sides are equal), the area of the piece of cardboard is 1m2. With scissors, a cut is made through the midpoints of the cardboard, the cut is left in the hand and the rest of the paper is left on a table, the piece that remains in the hand is cut through the midpoints of the sides, the cut is left in the hand and the rest is left on the table. The process is repeated n times. Write a recurrence relation that determines the area left in the hand at each step.
Let's denote the area left in the hand after the n-th cut as A(n). We know that the initial area of the cardboard is 1 m².
After the first cut, the remaining piece in the hand is an equilateral triangle with side length half of the original triangle. Therefore, the area left in the hand after the first cut, A(1), is given by:
A(1) = (1/2)² * 1 = 1/4 m²
After each subsequent cut, the remaining piece in the hand is also an equilateral triangle with side length half of the previous piece. So, we can define the recurrence relation as follows:
A(n) = (1/2)² * A(n-1)
This equation states that the area left in the hand after the n-th cut is equal to one-fourth of the area left in the hand after the (n-1)-th cut.
By substituting the initial condition A(1) = 1/4, we can calculate the area left in the hand at each step using this recurrence relation.
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Write each fraction as a mixed number.
3 4/9
43/9
32/5
The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
What is a mixed fraction?A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.
The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-
To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.
34/9 = 3(⁷/₉)
43/9 = 4(⁷/₉)
32/5 = 6(²/₅)
Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.
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what term refers to the labels at the right of the graph indicating how each subcategory is represented
Legend
The term that refers to the labels at the right of the graph indicating how each subcategory is represented is the Legend.
The Legend is a key that indicates what the different colors, lines, or other symbols in a graph represent. It is usually located at the right or bottom of the graph and provides a clear explanation of the different subcategories.
The Legend is an essential component of a graph, as it helps the viewer understand the information presented in the graph. Without the Legend, the graph can be confusing and difficult to interpret. It is important to ensure that the Legend is clear and easy to understand so that the viewer can quickly identify the different subcategories represented in the graph.
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Prior to going, Ben read that the lobster population in the area labeled NBHK is estimated to be 6, 817. What is the density of the lobster population in the area labeled NBHK?
A) 84 lobsters/mi^2
B) 756 lobsters/mi^2
C) 9.02 lobsters/mi^2
D) 81.15 lobsters/mi^2
The density of the lobster population in the area labeled NBHK is C) 9.02 lobsters/mi^2.
How to calculate the densityPopulation density refers to the number of people living in a given area, usually expressed as the number of individuals per square mile or kilometer.
To calculate population density, you can divide the total population of a given area by its land area. For example, if a city has a population of 1 million people and an area of 100 square miles, its population density would be 10,000 people per square mile.
The figure has two trapezoid and the areas are 306 and 756. Total area will be 1062 miles².
Lobster population will be:
= 6817 / 756
= 9
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graph the solution to the inequality on the number line. please help me
Answer:
Step-by-step explanation: