Solve for a.

1. all real numbers
2. -1
3. 0
4. no solution

Answer:

C

Step-by-step explanation:

it is stretched

It is important to ensure that the assumptions of the paired t-test are met, such as the normality of the differences and the independence of the pairs. If the assumptions are violated, alternative non-parametric tests like the Wilcoxon signed-rank test can be considered.

To analyze the results and determine if there is a difference in total points earned between students taught by method X and those taught by method Y, a suitable test statistic to use in this scenario would be the paired t-test.

The paired t-test is appropriate when we have paired or matched observations, such as in this case where the students were paired based on intelligence. Each pair consists of one student taught by method X and one student taught by method Y, making it a within-subject design. This test allows us to compare the means of the two related groups, taking into account the paired nature of the observations.

By using the paired t-test, we can examine whether there is a significant difference in the total points earned within each pair. The test will assess if the mean difference between the two methods is significantly different from zero, indicating a significant disparity in the total points earned.

To know more about paired t-test refer to

https://brainly.com/question/15870238

#SPJ11

Answer:

A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four

Answer:

9 yards

Step-by-step explanation:

A square has 4 congruent sides

Given the perimeter, the sum of the 4 sides is 36 yards, then

length of side = 36 ÷ 4 = 9 yards

Answer:

x = 3

Step-by-step explanation:

\(3x - 2 = 10 - x\)

\(4x = 12\)

\(x = 3\)

Another term that accountants use to refer to "cost recovery" is "cost reimbursement."

In accounting, "cost recovery" refers to the process of recouping or recovering the expenses incurred by a company through various means such as sales revenue, reimbursements, or cost allocation.

Another term commonly used to describe this concept is "cost reimbursement." It signifies the reimbursement of costs to the company, ensuring that the expenses are covered and recovered, often through reimbursement agreements with clients or partners.

Read more about cost reimbursement

brainly.com/question/31930459

#SPJ1

The probability that a slice contains less than 154 milligrams of sodium given that a randomly chosen slice of white bread has a mean of 110 milligrams with a standard deviation of 25 milligrams can be calculated using z-score.What is the probability that a slice contains less than 154 milligram of sodium?The formula for calculating z-score is given below;z= (x-μ) / σwhere;x is the value of interestμ is the mean of the populationσ is the standard deviationIn this case;x = 154μ = 110σ = 25To compute the z-score;z= (154-110) / 25z= 1.76To find the probability that the value is less than 154 milligrams, we look up the value of 1.76 on the z-table.Using a z-table or calculator, the probability that a slice contains less than 154 milligrams of sodium is about 0.960.

Answer:

I'm not too sure, but

the first system can be solved by b. Elimination Method;

the second system can be solved by a. Substitution Method;

and the third system can be solved by c. Graphing Method.

\(__________________________\)

B. Elimination Method ⇒ \(\sf \left \{ {{9x \ + \ 2y \ = \ 28} \atop {3x \ - \ 2y \ = \ -17}} \right.\)

↬ We can eliminate the variable y because the absolute values of their coefficients are the same.

A. Substitution Method ⇒ \(\sf \left \{ {{y \ = \ 3x \ + \ 10} \atop {2x \ - \ 4y \ = \ -6}} \right.\)

↬ We can substitute the first equation to the second equation because y is already isolated in the first equation.

C. Graphing Method ⇒ \(\sf \left \{ {{y \ = \ \frac{2}{3}x \ - \ 5} \atop {y \ = \ 2x \ + \ 8}} \right.\)

↬ We can graph these two equations because their already written in slope-intercept form which means we can easily identify the slope and the y-intercept.

There are 127 three-digit numbers that leave a remainder of 4 when divided by 7.

To find the number of 3-digit numbers that leave a remainder of 4 when divided by 7, we need to consider the possible values of the hundreds, tens, and units place digits.

First, let's examine the remainder pattern when dividing numbers by 7:

0 ÷ 7 = 0 remainder 0

1 ÷ 7 = 0 remainder 1

2 ÷ 7 = 0 remainder 2

3 ÷ 7 = 0 remainder 3

4 ÷ 7 = 0 remainder 4

5 ÷ 7 = 0 remainder 5

6 ÷ 7 = 0 remainder 6

7 ÷ 7 = 1 remainder 0

8 ÷ 7 = 1 remainder 1

9 ÷ 7 = 1 remainder 2

...and so on.

From this pattern, we can observe that the remainder repeats every 7 numbers. Therefore, to find the numbers that leave a remainder of 4 when divided by 7, we can start with the first number that satisfies this condition, which is 4, and then add multiples of 7.

The smallest 3-digit number that leaves a remainder of 4 when divided by 7 is 104. The largest 3-digit number is 997. To find the count of numbers in this range that satisfy the condition, we can subtract the first number from the last number and divide by 7:

(997 - 104) / 7 = 893 / 7 = 127

Therefore, there are 127 three-digit numbers that leave a remainder of 4 when divided by 7.

In summary, by examining the remainder pattern and considering the range of 3-digit numbers, we can determine that there are 127 numbers that satisfy the condition of leaving a remainder of 4 when divided by 7.

For more such questions on remainder visit:

https://brainly.com/question/29347810

#SPJ8

Answer:

5/23

Step-by-step explanation:

We want to find the probability that student chosen randomly from the class is a female who has an A

Probability = # of favorable outcomes / total # of possible outcomes

Here, the # of favorable outcomes would be females who have an A and total # of possible outcomes would be the total # of students in the class

The # of females who have an A is 5, so # of favorable outcomes = 5.

And in total there are 23 students ( 5 + 2 = 7 females and 4 + 12 = 16 males , 16 + 7 = 23 students total )

so # of possible outcomes = 23

Probability of choosing a female who has an A = 5/23

To find the linear approximation L(x) to y = f(x) near x = a for the function f(x) = 1, a = 5, we need to use the formula:

L(x) = f(a) + f'(a)(x - a)

Since f(x) = 1 for all values of x, we have f(a) = 1 for a = 5. To find f'(a), we take the derivative of f(x):

f'(x) = 0

Therefore, f'(a) = 0 for a = 5. Substituting these values into the formula, we get:

L(x) = 1 + 0(x - 5) = 1

So the linear approximation to y = f(x) near x = 5 is L(x) = 1.

For more questions like linear visit the link below:

https://brainly.com/question/28325512

#SPJ11

Answer:

the answer I got is 21/5

The linear trend models estimated from 10 years of quarterly data can be enhanced by incorporating seasonal dummy variables \(d_{2}\) and \(d_{3}\), where d₁ =1 for quarter 1 and 0 for all other quarters. These dummy variables help capture the seasonal patterns and improve the accuracy of the trend model.

In time series analysis, it is common to observe seasonal patterns in data, where certain quarters or months exhibit consistent variations over time. By including seasonal dummy variables in the linear trend model, we can account for these patterns and obtain a more accurate representation of the data.

In this case, the seasonal dummy variables \(d_{2}\) and \(d_{3}\) are introduced to capture the seasonal effects in quarters 2 and 3, respectively. The dummy variable \(d_{1}\) is set to 1 for quarter 1, indicating the reference period for comparison.

Including these dummy variables in the trend model allows for a more detailed analysis of the seasonal variations and their impact on the overall trend. By estimating the model with and without these dummy variables, we can assess the significance and contribution of the seasonal effects to the overall trend.

In conclusion, incorporating seasonal dummy variables in the linear trend model enhances its ability to capture the seasonal patterns present in the data. This allows for a more comprehensive analysis of the data, taking into account both the overall trend and the seasonal variations.

Learn more about quarters here:

brainly.com/question/1253865

#SPJ11

Answer: We can use the formula for compound interest to solve this problem:

A = P * (1 + r/n)^(nt)

where:

A = final amount

P = initial amount (what we want to find)

r = annual interest rate as a decimal (2.5% as 0.025)

n = number of times the interest is compounded per year

t = number of years

Plugging in the known values:

640 = P * (1 + 0.025)^(4)

Solving for P:

P = 640 / (1 + 0.025)^(4)

P = $600.28

So Margot invested $600.28 initially.

Step-by-step explanation:

Answer:

Ordered Pair Verification Solution

getachew tafere

Which ordered pair makes both inequalities true? y≤ -x + 1 y > x

(-3,5)

(-2, 2)

(-1, -3)

(0, -1)

The ordered pair (-1, -3) makes both inequalities true.

getachew tafere

A person deposited $5,000 into a bank account and made no other withdrawals or deposits. Each year, 2.7% interest was added to the account.

Write an exponential function for the situation.

Let y be the amount of money in the bank account after t years, where t >= 0.

The exponential function for this situation is:

y = 5000 * (1 + 0.027)^t

This function models the amount of money in the bank account after t years, given the initial deposit of $5,000 and an annual interest rate of 2.7%.

getachew tafere

Margot invests her money in a certificate of deposit that earns 2.5% compounded annually. After 4 years, Margot's investment is worth $640. How much money did Margot invest initially? Round your answer to the nearest cent.

Let's call the initial amount of money Margot invested as x. We can use the formula for compound interest to find x:

x * (1 + 0.025)^4 = 640

Dividing both sides by (1 + 0.025)^4, we get:

x = 640 / (1 + 0.025)^4

Approximating the expression (1 + 0.025)^4, we get:

x = 640 / 1.103822

x = approximately $580.64

So Margot initially invested approximately $580.64.

Step-by-step explanation:

Answer:

y=5x-12

Step-by-step explanation:

find the slope first which is (8-3)/(4-3)=5

Then that’s your slope.

after that plug the x into the equation I wrote so that means y=5(3)-12 and you should get the y value which is simple enough if you know how to do it.

Answer:

51 feet

Step-by-step explanation:

12/8=1.5

1.5X34=51 feet

Answer:

pretty sure its 645ml

Step-by-step explanation:

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

Learn more about same number here

https://brainly.com/question/17060199

#SPJ11

Step-by-step explanation:

45÷11= 4 R 1

between 4 and 5

4 1/11

4 1/11

Answer:

150

Step-by-step explanation:

Answer:

150 walnuts

Step-by-step explanation:

450= 9 x x= bags

450/3 = 150

9/3= 3

150 walnuts= 3x

Answer:

$12 per shirt

Step-by-step explanation:

$300/25=$12

Answer:

11.96 per shirt

Step-by-step explanation:

299/25 = 11.96 you do this instead of 300/25 because it says less than 300

Answer: that means you have a 3/6 chance which can be simplified to 1/2

1, 3 and 5 are the odd numbers

Step-by-step explanation:

Answer:

the answer is c 1/2

Step-by-step explanation:

since there are 6 numbers on the die that range from 1-6, that means there are three odd numbers, so the probability would be 3/6, which can reduce to 1/2

The rate of increase in the volume of sphere when  diameter is 100 mm is 94285.71 mm³/s.

Let the radius of the sphere be 'r'.

The radius of a sphere is increasing at a rate of 3 mm/s .

Then,

dr / dt = 3 mm/s

Volume of sphere is given as;

v = 4/3 π r³

Then, the change is volume is;

dv / dt = (4/3)  π 3r² .dr/dt

         = 4πr² x 3

         = 12πr²

For radius = 100/2 mm = 50 mm

dv / dt  = 12 x 22/7 x 50²

dv / dt  = 94285.71 mm³/s

Thus, the rate of increase in the volume of the sphere when diameter is 100 mm is 94285.71 mm³/s.

To know more about the rate of volume increase, here

https://brainly.com/question/22716418

#SPJ4

A sampling distribution is normal only if the population is normal. This  statement is false because A sampling distribution is normal only if n≥30.

If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values ​​above 30, but after a certain threshold the x(bar) distribution is effectively "normal".

Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.

A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.

In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.

Learn more about Population:

https://brainly.com/question/29117685

#SPJ4

Answer:

m = 3/4

Step-by-step explanation:

take two coordinate points and use the formula:

rise/run or y2-y1/x2-x1

x1,y1 being the first point

x2,y2 being the second point chosen off of the chart.

The best interpretation of K'(3)=-135 is that the rate of change of the population of deer in a forest at time, t = 3 days is 135.

Differentiation is used in math to describe the rate of change of a function with respect to a variable

The question has the function as the population of deer in a forest  dependent on the time in days

differentiation is a term that used for rate of change hence the statement K'(3)=-135 is solved for as follows

K'(3)=-135 represents the rate at which the number of deer increase or decrease in 3 days interval

Learn more about differentiation

https://brainly.com/question/954654

#SPJ1

Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

The exhaust system has an actual price of$800

From the question, we have the following parameters that can be used in our computation:

The above parameters imply that

The buyer would pay 100% - 45% of the sales price

Mathematically, this is represented as

Sales price = Original price x (1 - Discount percentage)

Substitute the known values in the above equation

So, we have the following equation

440 = Original price x (1 - 45%)

Evaluate the difference

440 = Original price x 55%

Divide both sides by 55%

Original price = 440/55%

Evaluate the quotient

Original price = 800

Hence, the original price of the exhaust system is $800

Read more about discount rates at

https://brainly.com/question/7459025

#SPJ1