Answer:
x < 1
Step-by-step explanation:
-3 > -4 + x
Add 4 to both sides of the inequality.
1 > x
So, the inequality notation is x < 1
select the function that matches the graph.
Answer:
...what...graph
Step-by-step explanation:
I do not see a graph.
A month with 31 days has 4 full weeks and 3 days .
So we can either have 4 Monday and wed in Full week , or 5 ( Monday -Wednesday , in the last 3 days ).
A month with 31 days has 4 full weeks and 3 days. This means that we can have either 4 Mondays and Wednesdays in the full weeks, or 5 Mondays and Wednesdays if we include the last 3 days of the month.
To calculate this, let's break it down step by step.
First, we know that a week has 7 days. So, 4 full weeks would have 4 * 7 = 28 days.
Next, we subtract the 28 days from the total of 31 days: 31 - 28 = 3. This gives us the remaining 3 days after the 4 full weeks.
Now, we have two scenarios to consider:
Scenario 1: 4 Mondays and Wednesdays in the full weeks.
In this case, we can select any 4 days out of the 7 days in a week to be Mondays and Wednesdays. The remaining 3 days will be different days of the week.
Scenario 2: 5 Mondays and Wednesdays, including the last 3 days.
In this scenario, the last 3 days of the month will be Monday, Tuesday, and Wednesday. The rest of the days in the month will be spread out across the previous 4 weeks.
A month with 31 days can have either 4 full weeks with 4 Mondays and Wednesdays, or 5 Mondays and Wednesdays by including the last 3 days. The distribution of days will depend on the specific dates of the month.
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Which would indicate the water in a lake is not safe for drinking
Answer:
The water in a lake is not safe for drinking, high turbidity levels in the lake Coliform bacteria occur innately in soil and in the intestines of humans and other organism.
CORRECT ANSWER: high turbidity levels in the lake.
Step-by-step explanation:
after 5 years, sammy has $7500 left on his student loans. with an interest rate of 8%, how much did sammy take out originally to fund his education?
Sammy originally took out approximately $5357.14 to fund his education.
Define rate of interestThe rate of interest, also known as the interest rate, is the percentage amount charged by a lender or financial institution for the use of borrowed money or for the extension of credit. It is the cost of borrowing money, typically expressed as an annual percentage of the amount borrowed or owed.
Let X be the amount Sammy took out originally to fund his education.
After 5 years, the amount he has to pay back is X + (0.08X5) = X + 0.4X = 1.4X.
We know that 1.4X = $7500, so we can solve for X:
1.4X = $7500
X = $7500 / 1.4
X ≈ $5357.14
Therefore, Sammy originally took out approximately $5357.14 to fund his education.
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can someone pls help me expand and simplify 2(3x+4) - 3 (4x-5)
Answer:
23 - 6x
Step-by-step explanation:
2(3x+4) - 3(4x-5)
6x + 8 - 12x +15 (distributing)
23 - 6x (combining like terms)
What is an equation example?
The definition and explanation of an equation are given below with an example.
in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.
in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-
E²=m²c⁴+p²c²
x²+3x-1=0
70 oranges= 7 oranges × 10 oranges
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Hey guys I really need help
Answer:
No, I think and yes.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
no cap
Assume that the project in Problem 3 has the following activity times (in months):
Activity A B C D E F G
Time 4 6 2 6 3 3 5
a. Find the critical path.
b. The project must be completed in 1.5 years. Do you anticipate difficulty in meeting the deadline? Explain.
a. The critical path is A-B-D-E-F-G with a total duration of 18 months.
b. The project can be completed within the given time frame, assuming that there are no delays or unforeseen circumstances.
a. Identify the critical path of a project based on its activity times ?The critical path is the longest path through the network of activities, where the total duration of the path is equal to the project's duration. To find the critical path, we can use the forward and backward pass methods:
Forward Pass:
Activity A can start immediately, so its earliest start time is 0.
Activity B can start only after A is completed, so its earliest start time is the earliest finish time of A, which is 4.
Activity C can start only after A is completed, so its earliest start time is the earliest finish time of A, which is 4.
Activity D can start only after B and C are completed, so its earliest start time is the maximum of their earliest finish times, which is 6.
Activity E can start only after D is completed, so its earliest start time is the earliest finish time of D, which is 12.
Activity F can start only after C and E are completed, so its earliest start time is the maximum of their earliest finish times, which is 15.
Activity G can start only after F is completed, so its earliest start time is the earliest finish time of F, which is 18.
Backward Pass:
Activity G must be completed by the project's duration, so its latest finish time is the duration of the project, which is 18.
Activity F can finish only when G is completed, so its latest finish time is the latest start time of G minus the duration of F, which is 13.
Activity E can finish only when D is completed, so its latest finish time is the latest start time of D minus the duration of E, which is 14.
Activity D can finish only when B and C are completed, so its latest finish time is the minimum of the latest start times of B and C minus the duration of D, which is 8.
Activity C can finish only when F is completed, so its latest finish time is the latest start time of F minus the duration of C, which is 12.
Activity B can finish only when A is completed, so its latest finish time is the latest start time of A minus the duration of B, which is -2 (which means it has to finish before A starts).
Activity A must be completed by the project's duration, so its latest finish time is the duration of the project, which is 18.
Therefore, the critical path is A-B-D-E-F-G with a total duration of 18 months.
b. To determine whether it is feasible to complete the project within a given time constraint?The project's critical path has a duration of 18 months, which is the same as the given project duration of 1.5 years (which is also 18 months). Therefore, the project can be completed within the given time frame, assuming that there are no delays or unforeseen circumstances. However, any delays on the critical path activities will cause the project to be delayed, and there is no slack on the critical path to absorb any delays.
Therefore, it is important to closely monitor the progress of the critical path activities to ensure that the project is completed on time.
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I need the answer to this question please 4(3 - 2x) = 15
The correct answer would be -3/8 or in decimal form -0.375 :)
Convert 3,000 kilograms into pounds.
Answer:
6613.868 pounds
Please mark as brainliest
Which side is opposite 0
The value of opposite side of angle θ would be,
⇒ EF
Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that,
A right triangle EFD is shown in figure.
And, At angle E, right angle is shown.
We know that;
The Opposite side of a angle is called perpendicular side.
Hence, The value of opposite side of angle θ would be,
⇒ EF
Thus, Option A is true.
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2. (05.04)
18x - 6
Simplify_9x
(2 points)
1
15x + 5
21x²
Please help!!
Answer:
i cant cus i am only the age of thirteen
The following histogram was compiled as part of a survey taken door to door on a Monday morning from 10 A.M. to 2 P.M.
It lists the ages of the respondents. What is a reasonable explanation for the large gap?
I'd really appreciate the answer to this. Please and thank you :).
Data from a voluntary response sample, which is not representative of the population, are included in the histogram.
What is meant by histogram?A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors.
Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.
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Find the measure of angle K.
Answer:75
Step-by-step explanation:
First solve for x. That will get you 13. Then plug 13 in 8x-29. So you'd multiply 13 times 8. 104 then you have to subtract 29 so you'd get 75. Have a great day
Gina has a bag of marbles with 5 different colors. She randomly selects a marble from
the bag and then returns the marble to the bag. She does this 300 times. The table
below shows her results.
Answer:
\( \frac{7}{20} \)
Step-by-step explanation:
Red marbles = 33
Blue marbles = 72
Probability of selecting red or blue marbles:
\(33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20} \)
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
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The perimeter of a figure is the total length of all of its sides.
False
True
Only answer if you know it’s a quiz
Answer:
True.
Step-by-step explanation:
That is exactly what a perimeter is. Hope this helps
a scientist wants to determine whether or not the height of cacti, in feet, in africa is significantly higher than the height of mexican cacti. he selects random samples from both regions and obtains the following data.
Africa:
Mean = 12.1
Sample size = 201
Mexico:
Mean = 11.2
Sample size = 238
(a) Which of the following would be the correct hypothesis test procedure to determine if there is a difference between the mean height of two cacti?
-Two-sample test for proportions
-Two-sample t-test
- Paired t-test
(b) What is the value of the sample statistic to test those hypotheses? (2 decimal places)
(c) If the T test statistic is 2.169, and df = 202, find the p-value. (3 decimal places)
(d) Select the correct conclusion at alpha = 0.05.
-The null hypothesis is not rejected. There is insufficient evidence of a difference between the mean height of two cacti.
-The null hypothesis is rejected. There is sufficient evidence of a difference between the mean height of two cacti.
-The null hypothesis is not rejected. There is sufficient evidence of a difference between the mean height of two cacti.
-The null hypothesis is rejected. There is insufficient evidence of a difference between the mean height of two cacti.
(e) Mark the correct statement at alpha = 0.05:
-The test result is statistically significant.
-The test result is not statistically significant.
(f) Explain the type of error, in context, that might have been made.
-Type II error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.
-Type II error, which means the scientist concluded there is not a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is a difference.
-Type I error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.
-Type I error, which means the scientist concluded there is not a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is a difference.
(g) What would the p-value have been if we had done a two-tailed test? (3 decimal places)
The correct options for the given parts are as follows
(a) Two-sample t-test.
(b) x1 bar - x2 bar = 12.1 - 11.2 = 0.9
(c) p - value = 0.031
(d) The null hypothesis is rejected. There is sufficient evidence of a difference between the mean height of two cacti.
(e) The test result is statistically significant.
(f) Type I error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.
What is sample statistics?
Any number calculated from your sample data is referred to as a sample statistic (or simply a statistic). The sample average, median, sample standard deviation, and percentiles are a few examples. Because a statistic is based on data obtained through random sampling, which is a random experiment, it is a random variable.
a) Since there are two independent samples and we want to compare population means. We must use: Two-sample t-test.
b) The value of the sample statistic to test those hypotheses is:
x1 bar - x2 bar = 12.1 - 11.2 = 0.9
c) This is two-tailed test. For p-value, use excel formula =TDIST(2.169,202,2).
p - value = 0.031
d) Since p-value is less than 0.05, correct option is:
The null hypothesis is rejected. There is sufficient evidence of a difference between the mean height of two cacti.
e) Since p-value is less than 0.05, correct option is:
-The test result is statistically significant.
f) Since null hypothesis is rejected, we might have been made Type I error. The correct option is:
-Type I error, which means the scientist concluded there is a significant difference between average height of cacti in Africa and cacti in Mexico, when in reality there is no difference.
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if a 6-sided die is weighted so that you are three times as likely to roll a 1 than any of the the other numbers, what is the probability of rolling a 1?
Answer:
3/8
Step-by-step explanation:
You want to know the probability of rolling a 1 on a 6-sided die if that is 3 times as great as rolling any other number.
FractionIf the probabilities for 1–6 have the ratios ...
3 : 1 : 1 : 1 : 1 : 1
Then the probability of rolling 1 is the fraction 3/(3+1+1+1+1+1) = 3/8.
P(1) = 3/8
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which combination of factors will increase the chances of rejecting the null hypothesis?
Answer:
Increased sample size Larger effect size Lower variability One-tailed test
Step-by-step explanation:
The following combination of factors can increase the chances of rejecting the null hypothesis:
Decreased significance level (alpha): By choosing a lower significance level, such as 0.01 instead of 0.05, you make it more difficult for the results to be considered statistically significant, thereby increasing the chances of rejecting the null hypothesis.
Increased sample size: With a larger sample size, the test has more power to detect smaller effects or differences. This increased power can lead to rejecting the null hypothesis more often.
Larger effect size: If the effect or difference between groups being studied is larger, it becomes easier to detect and may lead to rejecting the null hypothesis.
Lower variability: If the data points in the sample are less spread out or have lower variability, it can increase the chances of rejecting the null hypothesis as the effect or difference becomes more evident.
One-tailed test: Conducting a one-tailed test instead of a two-tailed test can increase the chances of rejecting the null hypothesis. One-tailed tests focus on detecting a significant effect in one specific direction, whereas two-tailed tests consider the possibility of a significant effect in either direction.
It is important to note that these factors should be considered within the context of the specific hypothesis being tested and the statistical analysis being used. Additionally, the goal should be to design studies and analyze data in a way that ensures reliable and valid results rather than solely focusing on rejecting the null hypothesis.
at the tesla automotive factory, a model s sedan is built using 4 tires, a main chassis, and 5 lithium-ion batteries. how many sedans can be made if there are 17 tires, 5 chassis, and 22 batteries?
The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.
Using hit and trial method :
→ assuming tires as limiting substance
4 tires → 1 car
17 tires → 17/4 ×1 car
= 4.25 cars {reducing it to greatest integer value}
→ Assuming chassis as limiting theorem:
1 chassis → 1 car
5 chassis → 5 cars
→ Assuming batteries as limiting theorem substance:
5 batteries → 1 car
22 batteries → 22/5 × 1 car
= 4.4 → 4 cars
Therefore, 4 cars can be made by the given substance.
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1 Dentro de seis años tendré el doble de la edad que tenía hace cuatro años. ¿Qué edad tendré dentro de nueve años?
Answer:
23 años
Step-by-step explanation:
Para resolver la situación, consideremos que x es la edad de la persona. Sabemos que dentro de seis años esta tendrá el doble de la edad que tenía hace cuatro años. La edad dentro de 6 años se puede expresar como x+6 y esto será igual al doble de la edad que tenía hace cuatro años, lo que se puede expresar como 2(x-4). De acuerdo a esto:
x+6=2(x-4)
x+6=2x-8
6+8=2x-x
x=14
Ahora que sabemos que la edad de la persona es 14 años, le sumamos 9 y esto da como resultado 23 y esta es la edad que la persona tendrá en 9 años.
What is the domain and range of the graph?
Answer:
B
Step-by-step explanation:
A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. Claim amounts are uniformly distributed on the interval [0,60] and are independent. The insurer covers 100% of each claim. Calculate the probability that the total benefit paid to the policyholder is 48 or less.
Answer:
0.89.
Step-by-step explanation:
So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;
(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."
(2). " distributed on the interval [0,60] and are independent."
(3). "The insurer covers 100% of each claim."
So, taking (1) above we will have;
(Total probability= 0.7 + 0.2 + 0.1 = 0.1)
A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.
0.8 + total probability = 0.8 + 0.1 = 0.9.
So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."
Hence, P< 48/A = P < 48/0.9 = P < 53.33.
Thus, 53.33/60 = 0.89.
ZA and B are m/A= (2x - 20)° m/B= (3x + 5)° supplementary. Find mA and m/ B.
The value of angle A is 58° and Angie B is 122°.
How to illustrate the angle?It's important to note that the value of the supplementary angles equals to 80°.
In this situation, ZA and B are m/A= (2x - 20)° mB= (3x + 5)° supplementary.
This will be:
2x - 20 + 3x + 5 = 180
5x = 180 + 15
5x = 195
Divide
x = 195 / 5
x = 39
Angle A = 2x - 20 = 2(39) - 20
= 58
Angle B = 3x + 5 = 3(39) + 5
= 122°
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Find the midpoint between (9, -1) and (1, 15).
The midpoint between the endpoints (9, -1) and (1, 15) is equal to (5, 7).
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Substituting the given parameters into the midpoint of a line segment formula, we have the following;
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Midpoint = [(9 + 1)/2, ((-1) + 15)/2]
Midpoint = [(10)/2, (14)/2]
Midpoint = (5, 7).
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Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
In circle A, diameter EC is perpendicular to chord BD, and arc EB measures 62 degrees. Find the measure of arc ED.
If in circle A, diameter EC is perpendicular to chord BD, and arc EB measures 62 degrees, the measure of arc ED is 208 degrees.
To solve the problem, we need to use the relationship between arcs, angles, and chords in a circle.
Since diameter EC is perpendicular to chord BD, we know that angle EBD is a right angle.
Arc EB measures 62 degrees, and we know that angle EBD is 90 degrees. Therefore, arc ED must measure:
360 degrees - arc EB - angle EBD
= 360 degrees - 62 degrees - 90 degrees
= 208 degrees
So, the measure of arc ED is 208 degrees.
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based on historical data, your manager believes that 31% of the company's orders come from first-time customers. a random sample of 179 orders will be used to estimate the proportion of first-time-customers. what is the probability that the sample proportion is greater than than 0.24?
The probability that the sample proportion is greater than 0.24 is 0.9772
Given Data :
population proportion, p = 0.31
sample size n = 179
μ = p = 0.31
σ = √p(1-p)/n =√( 0.31 (1-0.31 )/179 )= 0.0011
Let p be the sample proportion
p following normal distribution N (μ = 0.31 , σ = 0.0011 )
Here
z = (p - μ) / σ
Now
Now, We Have To Compute P (p > 0.24 )
Therefore,
p (p> 0.15 ) =1 - p( (p-μ )/σ < (0.24 -0.31)/0.0349 )
= 1-p(z < -2.0057) -----from z table
= 1 - 0.0228
=0.9772
Consequently, 0.9772 percent chance exists that the sample proportion will be higher than 0.24.
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Can a triangle have sides that measure 5 cm 12 cm 13 cm?
Yes , the given statement is true , after implying Pythagoras theorem we conclude that the sides can be 5 cm 12 cm 13 cm.
We can use Pythagoras theorem to check whether the sides of a triangle can measure 5 cm 12 cm 13 cm or not .
The sum of square of two smaller sides should be equal to the third side.
13² = 12² + 5²
13² = √144 + 25
13² =√169
13² = 13
Therefore, we can conclude that the sides of a triangle can be 5 cm 12 cm 13 cm.
Pythagoras theorem states that the sum of smaller sides could be equal to the larger side. AC² = AB² + BC².
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