Answer:
15.23
Step-by-step explanation:
The mean value of 500 homes in a county is $225,000 and the standard deviation is $25,000. approximately how many of the homes in the county are between $175,000 and $225,000?
240 homes in the county are between $175,000 and $225,000.
The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.
Now since m= $225000
and $175000= $225000-$50000= $225000-(2* $25000)= m-2d
Thus, as per the image area covered between m and m-2d= $225000
and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.
A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.
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help please i don’t understand
Answer:
567
Step-by-step explanation:
you gotta keep dreaming multiply the 6 then the 5
someone help me out please:(
Answer:
\(m(x) = - 3x - 3\)
Step-by-step explanation:
\(m(x) = f(x) - g(x)\)
\(m(x) = (2x+1)−(5x+4)\)
\(m(x) = 2x+1−(5x)−1 \times 4\)
\(m(x) = 2x+1−5x−1 \times 4\)
\(m(x) = 2x+1−5x−4\)
\(m(x) = −3x+1−4\)
\(m(x) = −3x−3\)
Hope it is helpful...The null hypothesis is that 30% people are unemployed in Karachi city. In a sample of 100 people, 55 are unemployed. Test the hypothesis with the alternative hypothesis is not equal to 30%. What is the p-value? OA 0.275 OB. 0.075 OC. No correct answer OD 0.008 OE.0.029
The correct answer is OD, the p-value is 0.008 (rounded to three decimal places) which is much smaller than the significance level of 0.05. (option-d)
To test the null hypothesis that 30% of people are unemployed in Karachi city with alternative hypothesis that the proportion is not equal to 30%, we can use a two-tailed hypothesis test with a significance level of 0.05.
First, we can calculate the sample proportion of unemployed people:
p = 55/100 = 0.55
Next, we can calculate the standard error of the proportion:
SE = sqrt(p(1-p)/n) = sqrt(0.3 x 0.7/100) = 0.0495
Using the null hypothesis proportion of 0.3 and the sample proportion, we can calculate the test statistic:
z = (p - P) / SE = (0.55 - 0.3) / 0.0495 = 5.05
The p-value for this test can be found by looking up the z value in a standard normal distribution table. The p-value for a two-tailed test with z = 5.05 is approximately 0.0000002 or 0.00002.
This means that we reject the null hypothesis and conclude that the proportion of unemployed people in Karachi city is not equal to 30%.(option-d)
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PLEASE HELP WILL MARK BRAINLIEST
Answer:
B Cosine
Step-by-step explanation:
sin A = BC/12
cos A = 5/12
tan A = BC/5
Can someone help me on question 12 please
Answer:
I think it is i
Step-by-step explanation:
The formula is 2(l+w)
2(13+8)
2(13)=26
2(8)=16
26+16=42
is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.
To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.
The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.
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Nina goes to the supermarket 0, 1, or 2 times in a week. the probability that she goes 0 days is 0.2, the probability that she goes 1 day is 0.50, and the probability that she goes 2 days is 0.30. what is the expected value of the number of days per week on which nina goes to the supermarket?
The expected value of the number of days per week on which Nina goes to the supermarket is 1.1 given that Nina goes to the supermarket 0, 1, or 2 times in a week and the probability that she goes 0 days is 0.2, the probability that she goes 1 day is 0.50 and the probability that she goes 2 days is 0.30. This can be obtained using the formula of expected value.
What is the expected value of the number of days per week on which Nina goes to the supermarket?The expected value of the number of days can be obtained using the formula of the expected value,
⇒ E(X) = μ = Σ x P(x)
where E(X) is the expected value, μ is the mean, x is the outcome, P(x) is the probability of the outcome.
Here in the question it is given that
Nina goes to the supermarket 0, 1, or 2 times in a weekprobability that she goes 0 days is 0.2 ⇒ P(0) = 0.2 probability that she goes 1 day is 0.50 ⇒ P(1) = 0.5probability that she goes 2 days is 0.30 ⇒ P(2) = 0.3We have to find the expected value of the number of days per week on which Nina goes to the supermarket.
By using the formula of the expected value,
E(X) = Σ x P(x)
E(X) = 0×0.2 + 1×0.5 + 2×0.3
E(X) = 0 + 0.5 + 0.6
E(X) = 1.1
Hence the expected value of the number of days per week on which Nina goes to the supermarket is 1.1 given that Nina goes to the supermarket 0, 1, or 2 times in a week and the probability that she goes 0 days is 0.2, the probability that she goes 1 day is 0.50 and the probability that she goes 2 days is 0.30.
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1) If 4 men take 18 days to paint a fence. Working at the same pace, how many men would be needed to paint the fence in 12 days?
2) It takes 6 men 14 hours to dig a drain. How many hours would it take 7 men to dig the same drain?
3) A bus takes takes 4 hours to reach its destination, travelling at a speed of 60 miles per hour. How many hours would it take to reach the same destination travelling at 80 miles per hour?
4) If 9 persons take 40 minutes to complete a task. Working at the same pace, how long would it take 6 persons to complete the same task?
5) If 8 men can mow a large piece of lawn in 9 hours, then how long would it take 9 men working at the same rate to mow the same lawn?
6) A car travels 150 miles in 3 hours. How many miles will it travel in 7 hours at this same rate?
7)Lia earns $7.50 per hour, at this rate; how much would she earn for 9 hours of work?
8) Alex can pack 64 oranges in 4 minutes, at this same pace; How many oranges could he pack in 1 minute?
9) A machine manufactures 400 units in 5 minutes. At this rate, How many units would it manufacture in 2 minutes?
10) A train travels 240 km in 4 hours, at this same speed; how much time would it take to travel 540 km?
Answer:
it will take 6men to work in 12days
it takes 6men to work in 13hours it will now take 7men to work 13
it will take 6 hours to travel at 80miles
it will take 6 men to complete the same work at 1 hour
it will take 9 men to mow a large piece of lawn in 8 hour
it will travel 50 miles is 7 hour
Can you help me solve this problem??
The function that models the averageTannual cost of owning a small dog for x years is f(x) = (180 + 400x) / x
How to depict the functionThe total cost of owning a small dog for x years can be expressed as the sum of the one-time cost and the continuing costs for x years, which is:
Total Cost = One-time Cost + Continuing Costs for x years
Total Cost = $180 + $400x
In this case, to find the average annual cost, we divide the total cost by the number of years:
Average Annual Cost = Total Cost / x
Average Annual Cost = ($180 + $400x) / x
Therefore, the function that models the average annual cost of owning a small dog for x years is: f(x) = ($180 + $400x) / x
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618.4 to the nearest tenth
Answer:
it is in the nearest tenth, 618.40=618.4
Step-by-step explanation:
also maybe brainliest?
this is a tricky question but......
the answer is already there!
(618.4)
solve this answer and get 30 points
Answer:
10
Step-by-step explanation:
\(\frac{63}{c}\) + d ( substitute c = 7 , d = 1 into the expression )
= \(\frac{63}{7}\) + 1 ← evaluate division before adding
= 9 + 1
= 10
The midpoint of
AB
‾
AB
is
�
(
4
,
1
)
M(4,1). If the coordinates of
�
A are
(
2
,
8
)
(2,8), what are the coordinates of
�
B?
The midpoint of AB is M(4,1), If the coordinates of A are (2,8), then the coordinates of B are (6,-6).
The midpoint formula states that the midpoint of a line segment in a coordinate plane is given by the average of the x-coordinates and the average of the y-coordinates.
The midpoint of AB is M(4,1) and the coordinates of A are (2,8).
Therefore, we can write the following equation: x-coordinate of the midpoint = (x-coordinate of A + x-coordinate of B) / 2y-coordinate of the midpoint = (y-coordinate of A + y-coordinate of B) / 2
Substituting the given values into the above equation, we get:4 = (2 + x-coordinate of B) / 2 1 = (8 + y-coordinate of B) / 2
Simplifying the equations above, we get: x-coordinate of B = 6 y-coordinate of B = -6
Therefore, the coordinates of B are (6,-6).
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A large university accepts 50% of the students who apply. Of the students the university accepts, 25% actually enroll. If 30000 students apply, how many actually enroll? Can you helpppppppp pleaseeeeeeeee
Answer:
3750 students
Step-by-step explanation:
50% of 30000 students are accepted.
so
50%*30000=(50/100)*30000=50*300=15000
25% of 15000 enroll
so
(25/100)*15000=25*150=3750
five cards are drawn from an ordinary deck of 52 playing cards. find the probability of getting 2 pairs
The probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards is approximately 0.0475, or 4.75%.
To calculate the probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. To form 2 pairs, we need to select two ranks out of the thirteen available ranks and then choose two cards of each selected rank. The remaining card can be of any rank except the ranks already chosen for the pairs.
Let's calculate the probability step by step: Step 1: Select two ranks out of the thirteen available ranks for the pairs. Number of ways to select two ranks: C(13, 2) = 13! / (2! * (13 - 2)!) = 78. Step 2: Choose two cards of each selected rank. Number of ways to choose two cards of each rank: C(4, 2) * C(4, 2) = (4! / (2! * (4 - 2)!)) * (4! / (2! * (4 - 2)!)) = 36. Step 3: Choose the remaining card from the remaining ranks.
Number of ways to choose one card: C(52 - 8, 1) = 44. Step 4: Calculate the total number of possible outcomes. Number of ways to draw 5 cards from a deck of 52: C(52, 5) = 52! / (5! * (52 - 5)!) = 2,598,960. Step 5: Calculate the probability. Probability = (Number of favorable outcomes) / (Total number of possible outcomes), Probability = (78 * 36 * 44) / 2,598,960 ≈ 0.0475. Therefore, the probability of getting 2 pairs when drawing 5 cards from a deck of 52 playing cards is approximately 0.0475, or 4.75%.
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Two functions are shown in the table below:
Complete the table, then select the value that is a solution to f(x) = g(x).
Function x = 1 x = 2 x = 3 x = 4 x = 5 x = 6
f(x) = −x2 + 4x + 12
g(x) = x + 8
The value that is a solution to f(x) = g(x) is x = 4.
What is a function?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Here, we have
Given: f(x) = −x² + 4x + 12
g(x) = x + 8, x = 1 x = 2 x = 3 x = 4 x = 5 x = 6
We have to find the value that is a solution to f(x) = g(x).
When x = 1
f(1) = −(1)² + 4(1) + 12
f(1) = -1 + 4 + 12
f(1) = 15
g(1) = 1 + 8
g(1) = 9
f(1) ≠ g(1)
When x = 2
f(2) = −(2)² + 4(2) + 12
f(2) = -4 + 8 + 12
f(2) = 16
g(2) = 2 + 8
g(2) = 10
f(2) ≠ g(2)
When x =3
f(3) = −(3)² + 4(3) + 12
f(3) = -9 + 12 + 12
f(3) = 15
g(3) = 3 + 8
g(3) = 11
f(3) ≠ g(3)
When x = 4
f(4) = −(4)² + 4(4) + 12
f(4) = -16 + 16 + 12
f(4) = 12
g(4) = 4 + 8
g(4) = 12
f(4) = g(4)
When x = 5
f(5) = −(5)² + 4(5) + 12
f(5) = -25 + 20 + 12
f(5) = -5 + 12
f(5) = 7
g(5) = 5 + 8
g(5) = 13
f(5) ≠ g(5)
When x = 6
f(6) = −(6)² + 4(6) + 12
f(6) = -36 + 24 + 12
f(6) = 0
g(6) = 6 + 8
g(6) = 14
f(6) ≠ g(6)
Hence, the value that is a solution to f(x) = g(x) is x = 4.
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The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2.5) and (1.75, 0). Blue line goes through (0.5, 0) and (1, 2). Pink line goes through (negative 1, 0), and (0, 2). Purple line goes through (negative 0.75, 2.5) and (0, 0.75). Which system of equations has a solution of approximately (–0.3, 1.4)? 2 x minus y = negative 2 and 22 x + 10 y = 7 3 x + 2 y = 5 and 4 x minus y = 2 4 x minus y = 2 and 22 x + 10 y = 7 2 x minus y = negative 2 and 3 x + 2 y = 5
Answer:
2 x - y = - 2 and 22 x + 10 y = 7
Step-by-step explanation:
To find the equation to produce a solution of approximately (–0.3, 1.4), we have to solve the equations simultaneously.
a) For line 2 x - y = - 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 20x - 10y = -20
Add 20x - 10y = -20 and 22 x + 10 y = 7 to get:
42x = -13
x = -13/42 = -0.3
Put x = -0.3 in 2 x - y = - 2 to get:
2(-0.3) - y = - 2
-0.6 - y = -2
y = 2 - 0.6 = 1.4
x = - 0.3 and y = 1.4
This is the correct option
b) For line 3 x + 2 y = 5 and 4 x - y = 2
Multiply line 2 by 2 to give : 8x - 2y = 8
Add 8x - 2y = 48 and 3 x + 2 y = 5 to get:
11x = 13
x = 13/11 = 1.2
Put x = 1.2 in 3 x + 2 y = 5 to get:
3 (1.2) + 2 y = 5
y = 1.4
x = 1.2 and y = 1.4
c) For line 4 x - y = 2 and 22 x + 10 y = 7
Multiply line 1 by 10 to give : 40x - 10y = 20
Add 40x - 10y = 20 and 22 x + 10 y = 7 to get:
62x = 27
x = 0.44
Put x = 0.44 in 4x - y = 2 to get:
y = -0.24
d) For line 2 x - y = - 2 and 3 x + 2 y = 5
Multiply line 1 by 2 to give : 4x - 2y = -4
Add 4x - 2y = -4 and 3x + 2 y = 5 to get:
7x = 1
x = 0.14
Put x = 0.14 in 2 x - y = - 2 to get:
y = 2.28
Answer:
it's A
Step-by-step explanation:
i took the test
The length of a football field is 120m. what is the length on drawing, if the scale is 1:5m?
fresno, ca maximum s wave amplitude= (with epicentral distance of 340 km) answer
The maximum S-wave amplitude of the earthquake in Fresno, CA with an epicentral distance of \(340\) km is approximately \(1.049\).
The maximum S-wave amplitude of an earthquake in Fresno, CA, with an epicentral distance of \(340\) km can be calculated using the equation: \($\log(A) = 0.00301M + 2.92 - 0.0000266d$\), where \($A$\) represents the amplitude of the S-wave, \($M$\) is the magnitude of the earthquake, and \($d$\) is the epicentral distance in kilometers. Given the epicentral distance of \(340\) km, we need to determine the magnitude of the earthquake to compute the S-wave amplitude. By substituting \($A=1.0$\) into the equation, we can solve for $M$, yielding \($M = 6.124$\). Substituting this magnitude into the initial equation, we find \($\log(A) = 0.0184$\), resulting in \($A = 1.049$\). Therefore, the maximum S-wave amplitude of the earthquake in Fresno, CA, at an epicentral distance of \(340\) km is approximately \(1.049\).In conclusion, the maximum S-wave amplitude of the earthquake in Fresno, CA with an epicentral distance of \(340\) km is approximately \(1.049\)(without any further context or analysis).
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Answer:
1049
Step-by-step explanation:
The maximum S-wave amplitude of an earthquake in Fresno, CA, with an epicentral distance of km can be calculated using the equation: , where represents the amplitude of the S-wave, is the magnitude of the earthquake, and is the epicentral distance in kilometers.
Given the epicentral distance of km, we need to determine the magnitude of the earthquake to compute the S-wave amplitude.
By substituting into the equation, we can solve for $M$, yielding . Substituting this magnitude into the initial equation, we find , resulting in . Therefore, the maximum S-wave amplitude of the earthquake in Fresno, CA, at an epicentral distance of km is approximately .
Solve this system and identify the solution.
Select one:
a.
(5,-2)
b.
infinite solutions
c.
no solutions
d.
(2,-5)
The correct statement regarding the solution to the system of equations is given as follows:
b. Infinite solutions.
How to solve the system of equations?The system of equations in the context of this problem is defined as follows:
3y - 6x = 24.8 + 2x = y.Replacing the second equation into the first, the value of x is obtained as follows:
3(8 + 2x) - 6x = 24
24 + 6x - 6x = 24
24 = 24.
24 = 24 is a statement that is always true, hence the system has an infinite number of solutions, and thus option B is the correct option for this problem.
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Of 60 diners in a restaurant, 15 ordered the fish of the day and 7 are wearing a tie. Of the diners who ordered fish, 2 are wearing a tie. Which is the probability that one of the diners ordered the fish or is wearing a tie?
Answer:
17!! i got this samwe wuestion correvt!
Step-by-step explanation:
The trapezoids given are similar. Find the value of x.
Answer:
\(x = 20\)
Step-by-step explanation:
They are similar trapezoids, so that their corresponding sides are also similar.
\( \frac{24}{16} = 1.5\)
So that
\( \frac{30}{x} = 1.5 \\ x = 20\)
an approximate size which does not represent any of the actual dimensions of the unit is/are
An approximate size which does not represent any of the actual dimensions of the unit is nominal value.
The phrase "nominal number" is said to be quite new and rarely used. It seems to have come from the statistical phrase "nominal data," which is reportedly defined as data revealing "...merely declarations of qualitative category of membership," as it is used in school textbooks. The meaning of the word "nominal" in this use is "name."
Nominal numbering is mathematically a one-to-one and onto function from a set of named objects to a set of numbers, which may change (typically growing) over time. It is a function because each named object is assigned a single number; it is one-to-one because different objects are assigned different numbers; and it is onto because every number in the set at a given time has a single named object associated with it.
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help me out please asap! Giving brainliest!!!
Answer: the answer is -32
Step-by-step explanation: multiply -2 by itself 5 separate times.
Answer:
-32
Step-by-step explanation:
-2×-2×-2×-2×-2=4×4×-2
=-32
Penny walked 50 yards in 30 seconds. At this pace, how many miles would she walk
in one hour? Show all calculations to get full credit.
CONVERSIONS:
1 yard = 3 feet
5,280 feet = 1 mile
1 hour = 60 minutes
1 minute = 60 seconds
Perry picked p peaches. Tara picked 3 times as many peaches as perry. Write an expression that shows how many peaches tara picked.
E*V = T where E = Eve's peaches P = Perry's peaches V = Varying amount of peaches T = Total peaches is an expression that shows how many peaches tara picked.
How do you define expression in math?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)
Perry picked p peaches.
Tara picked 3 times as many peaches as perry
E = Eve's peaches
P = Perry's peaches
V = Varying amount of peaches
T = Total peaches
P = E*V
E*V = T
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Part 1: - What is the end-of-year wealth if Jane Christine receives a stated annual interest rate of 24% compounded monthly on a $1 investment? - Harry DeAngelo is investing $5,000 at a nominal interest rate of 12%, compounded quarterly, for five years. What is his wealth at the end of five years? - Linda Defond invested $1,000 at a continuously compounded rate of 10% for two year. What is the value of her investment at the end of two years?
Answer:
$1.27
$9030.56
$2,210.34
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r/n)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
1. 1( 1 + 0.24 /12)^12 = $1.27
2. 5000 ( 1 + 0.12 /4)^( 5 x 4) = $9030.56
the formula for calculating future value when there is continuous compounding is : A x e^r x N
A= amount e = 2.7182818 N = number of years r = interest rate
3. 1000 x e^0.1 x 2 = $2,210.34
suppose that two boys named davis, three boys named jones, and four boys named smith are seated at random in a row containing nine seats. what is the probability that the davis boys will occupy the first two seats in the row, the jones boys will occupy the next three seats, and the smith boys will occupy the last four seats?
The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).
There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.
Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)
= \(\frac{2!3!4!}{9!}\)
= 0.0007937
= 7.937×\(10^{-4}\)
Hence, the probability is 7.937×\(10^{-4}\).
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Note: Figure not to scale
What is the measure of the angle marked y?
Answer:
y = 48°
Step-by-step explanation:
In parallelogram STVU,
\( m\angle TVU + 60\degree = 180\degree\) (linear pair angles)
\( m\angle TVU = 180\degree - 60\degree \)
\( m\angle TVU = 120\degree \)
\( m\angle UST= m\angle TVU =120\degree \)(Opposite angles of a parallelogram)
\( m\angle USR= 120\degree(\because S-R-T) \)
\( 108\degree + m\angle USR+m\angle PSR= 360\degree\)
\( 108\degree + 120\degree+m\angle PSR= 360\degree\)
\( 228\degree + m\angle PSR= 360\degree\)
\( m\angle PSR= 360\degree - 228\degree \)
\( m\angle PSR= 132\degree \)
\( y+m\angle PSR= 180\degree \)
(Adjacent angles of a parallelogram)
\( y+ 132\degree= 180\degree \)
\( y= 180\degree-132\degree\)
\( y= 48\degree\)
Rewrite the following equation in standard form.
y = 3x + 9
3x-y=-9
Step-by-step explanation:
Answer: 3x - y = - 9
Step-by-step explanation:
Re-write the equation in the following form:
3x + 9 = y
Take the y to LHS:
3x + 9 - y = 0
Now, take the 9 to the RHS:
3x - y = -9. This is your answer.