At the store brand a potato chips or $11.90 for four bags

When x =6 y=2 What is: 2(3x-6y)^2

ikadub [295]

Answer:

72

Step-by-step explanation:

We first substitute x = 6 and y = 2 into the equation

2(3 x (6) - 6 x (2)) ^ 2

First we multiply all the numbers in the bracket

2(18 - 12) ^ 2

Now we minus the numbers in the bracket

2(6)^2

Now we use the indice rule to do 6^2 which is 36

And then we multiply 36 by 2 which is 72

Hope it helps :)

3 0

3 years ago

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Samantha reports that 60% of the first year students at her university think they should be able to bring a car to campus. She a

Nostrana [21]

Answer:

D) the standard error for her sample is 15

Step-by-step explanation:

Samantha is 95% certain that between 50% and 70% of the first year students agree that they should be able to bring a car to campus.

Here

95% is the confidence level.
The range between 50% and 70% indicates 95% confidence interval.
60% is the average proportion of the first year students at her university think they should be able to bring a car to campus.
10% (0.1) is the margin of error from the mean

Since standard error can be obtained by dividing margin of error by the z-statistic of the confidence level which is 1.96. The standard error for her sample $\frac{0.1}{1.96}$ does not equal to 15.

4 0

3 years ago

Mike runs for the president of the student government and is interested to know whether the proportion of the student body in fa

Alik [6]

Answer:

We conclude that the proportion of student body in favor of him is significantly less than or equal to 50%.

Step-by-step explanation:

We are given that Mike runs for the president of the student government and is interested to know whether the proportion of the student body in favor of him is significantly more than 50 percent.

A random sample of 100 students was taken. Fifty-five of them favored Mike.

Let p = proportion of the students who are in favor of Mike.

So, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that the proportion of student body in favor of him is significantly less than or equal to 50%}

Alternate Hypothesis, $H_A$ : p > 50% {means that the proportion of student body in favor of him is significantly more than 50%}

The test statistics that would be used here One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of students body in favor of Mike = $\frac{55}{100}$ = 0.55

n = sample of students taken = 100

So, test statistics = $\frac{0.55-0.50}{\sqrt{\frac{0.55(1-0.55)}{100} } }$

= 1.01

The value of z test statistics is 1.01.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is less than the critical value of z as 1.01 < 1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the proportion of student body in favor of him is significantly less than or equal to 50% or proportion of the students in favor of Mike is not significantly greater than 50 percent.

4 0

3 years ago

What is the total amount that Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 perce

bija089 [108]

Answer:

Total amount that Matthew's bank will receive is $10099.81.

Step-by-step explanation:

We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.

The formula for compound interest is:

$A=P(1+r)^n$

Where A = future value

P= Principal Amount

r = interest rate

and n= time

So in the question we are given:

P= $8000

r = 6% or 0.06

t = 4 (since 4 yeras compounded annually)

A= 8000*(1+0.06)^4

A= 8000*(1.06)^4

A= 10099.81

So, total amount that Matthew's bank will receive is $10099.81.

6 0

3 years ago

What is 18/25 as a decimal

Serga [27]

Answer: 0.72

Step-by-step explanation:

Hope that helps :)

4 0

3 years ago

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