Enter the polynomial in standard form. Then enter the leading coefficient

Challenge A warehouse store sells 5.5-ounce cans of tuna in packages of 8. A package of 8 cans

Stolb23 [73]

Answer:

Step-by-step explanation:

the warehouse is the best buy because you get 44oz off tuna but if you buy the three pack you get 19.5oz and if you buy the five pack from store you 22.5oz of tuna

so the warehouse has the best deal on tuna

4 0

3 years ago

A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he

UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

We dont know the true proportion, so we use $\pi = 0.5$ , which is when we are are going to need the largest sample size.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.04\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.04}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2$

$n = 600.25$

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2$

$n = 2401$

The minimum sample size is 2401.

4 0

3 years ago

Determine the values of the variables in the parallelograms below help me please

PolarNik [594]

Answer:

Part 1)

$x=-11$

$m=170\°$

Part 2)

$x=-5, x=1$

$m=-10, m=14$

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

Find the value of x

$25=-3x-8$ ----> opposite sides are congruent

solve for x

$25=-3x-8$

$3x=-8-25$

$x=-33/3=-11$

Find the value of m

$(70+(m-60))=180\°$ ----> consecutive angles are supplementary

solve for m

$m=180\°-10\°=170\°$

Part 2)

Find the value of x

$5=x^{2}+4x$ ---> opposite sides are congruent

using a graphing tool

see the attached figure N 1

The solutions are

$x=-5, x=1$

Find the value of m

$(m^{2}-4m)=140\°$ ---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2

The solutions are

$m=-10, m=14$

8 0

3 years ago

Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expressi

solmaris [256]

Answer:

k squared minus 4/ A

Step-by-step explanation:

took the test

4 0

2 years ago

Read 2 more answers

Bob and Cam are scuba diving. Bob is 15 meters below the surface of the water. Cam is 4 meters above Bob.

Lana71 [14]

Answer: -11 meters

Step-by-step explanation:

so for the waters surface, we are going to call that 0. if bob is at 15 meters below 0, then -15+4=-11, so he would be at-11 meters in relation to the waters surface.

6 0

2 years ago