ANSWER PLEASE PLEASE Don’t MIND MY PENCIL WORK

Mathematics

1 answer:

morpeh [17]3 years ago

3 0

You need to make two equations-
Use b for butternut squash and z for zucchini.
2b+4z = $6.96
3b=6z
Solve for one of the variables in the second equation ( I will solve for b)
3b/3=6z/3
b=2z
Plug it in-
2(2z)+4z =$6.96
4z+4z=$6.96
8z =$6.96
8z/8 = 6.96/8
z= .87
Plug in again - (b=2z)
b= (2)(.87)
b= $1. 74
So the zucchini is 87 cents and the butternut squash is $1.74 (each)

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A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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Solution to the problem

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: