MATHEMATICS COLLEGE

Choose the equation that represents the graph of the widest parabola?O y = 4x²
O y = -5x²
O y = 2x²
O y = - 3x²

Answers

Answer 1

Answer:

y = 2x^2

Step-by-step explanation:

Answer 2

Answer:

Answer:

2x²

Step-by-step explanation:

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Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation? a. Approximately normal because the sample size is small relative to the population size b. Approximately normal because of the central limit theorem c. Exactly normal d. None of these alternatives is correct.

Answers

None of the given alternatives described the Sample mean for the situation. A complete solution is below.

Given values are:

Sample size,

n = 17

Mean,

μ = 36

Standard deviation,

σ = 8

As we know,

The Standard deviation of sample mean,

→ $(\sigma)/(√(n) )$

By substituting the values, we get

→ $(8)/(√(17) )$

→ $(8)/(4.13)$

→ $1.94$

Thus the response i.e., "option d" is appropriate.

Learn more:

brainly.com/question/16555520

Answer:

Step-by-step explanation:

One question in the survey asked how much time per year the children spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.Required:

a. Based on the reported sample mean and sample standard deviation, explain why it is not reasonable to think that the distribution of volunteer times for the population of South Korean middle school students is approximately normal.
b. The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 500. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximately normal.
c. Calculate and interpret a confidence interval for the mean number of hours spent in volunteer activities per year for South Korean middle school children.

Answers

Answer:

a. If the distribution was normal, many values would be negative, what is incompatible with the response variable (hours dedicated to volunteer activities).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

c. The 95% confidence interval for the mean is (13.307, 16.213).

Step-by-step explanation:

a. If the distribution was normal, the values with one or more standard deviation below the mean would be negative, what is incoherent for this case. This, in a normal distribution, represents approximately 16% of the values.

If we calculate the probabilty for a normal distribution with the sample parameters, the probability of having "negative hours" is 18.6% (see picture attached).

b. If the sample is big, accordingly to the Central Limit Theorem, the sampling distribution shape tends to be normally-like, so we can apply a one-sample t-test.

The sampling distribution standard deviation is also reduced by a factor of 1/√n.

c. We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=14.76.

The sample size is N=500.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

$s_M=(s)/(√(N))=(16.54)/(√(500))=(16.54)/(22.3607)=0.7397$

The t-value for a 95% confidence interval is t=1.965.

The margin of error (MOE) can be calculated as:

$MOE=t\cdot s_M=1.965 \cdot 0.7397=1.453$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 14.76-1.453=13.307\n\nUL=M+t \cdot s_M = 14.76+1.453=16.213$

The 95% confidence interval for the mean is (13.307, 16.213).

Connor works in a department store selling clothing. He makes a guaranteed salary of $300 per week, but is paid a commision on top of his base salary equal to 5% of his total sales for the week. How much would Connor make in a week in which he made $2175 in sales? How much would Connor make in a week if he made xx dollars in sales?

Answers

Answer:

If Connor makes x dollars in sales, he will make 0.05x + 300 that week.

He makes $408.75 in a week if he makes $2175 in sales.

Step-by-step explanation:

y = 0.05x + 300

y = 0.05(2175) + 300

y = 408.75

Solve the system of equations. \begin{aligned} & -9x+4y = 6 \\\\ & 9x+5y=-33 \end{aligned} −9x+4y=6 9x+5y=−33

Answers

Answer:

x = -2

y = -3

Step-by-step explanation:

We can use either substitution or elimination for this problem. I will use elimination to solve this problem:

Step 1: Eliminate x by adding the 2 equations together

9y = -27

y = -3

Step 2: Plug in y into one of the original equations to get x

-9x + 4(-3) = 6

-9x -12 = 6

-9x = 18

x = 2

And we have our final answers!

10) Solve the inequality to find how many hours until the temperature willbe below 32 degrees F
A)3 hours
B)3.5 hours
C)4 hours
D)4.5 hours
PLS ANSWER

Answers

Answer:

D)4.5 hours

hope this helps

plz mark brainleist

01.01 LC)Look at the following numbers:

−2, −1, 0, 2

Which pair of numbers has a sum of 0? (5 points)
−1, 2
−2, 0
−2, 2
−1, 0

Answers

Answer:

-2, 2

Step-by-step explanation:

The pair of numbers that sum = 0 is:

-2,2

-2 + 2 = 0

Final answer:

In this Mathematics question, the given pairs of numbers were added individually to find the pair that sums up to 0. The pair that sums to 0 is -2 and 2.

Explanation:

In the field of Mathematics, the sum of two numbers is the result when those numbers are added together. In this particular question, you are given four options and need to find out which pair of numbers would add to give the sum of 0. The pairs and their sums are: