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3 years ago

9

The county planning department designs a new park in the shape of a parallelogram. They put in two diagonal walkways. What would

be the coordinates of the intersection of the diagonal walkways?

1 answer:

hjlf3 years ago

6 0

Answer:

yeet

hx for the thing idk

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In a recent research poll, 83.4% of 500 randomly selected men in the U.S. knew the name of our current vice president. When 500

faltersainse [42]

Answer:

a) $(0.834-0.79) - 1.96\sqrt{\frac{0.834(1-0.834)}{500}+\frac{0.79(1-0.79)}{500}}=-0.00435$

$(0.834-0.79) - 1.96\sqrt{\frac{0.834(1-0.834)}{500}+\frac{0.79(1-0.79)}{500}}=0.0924$

The 95% confidence interval for the true difference of proportions is given by (-0.00435;0.0924)

b) For this case since the confidence interval contians the value 0 we can't conclude that the true proportion of men who know the name of the current vice president is different than the true proportion of women that know the name the current vice president at 5% of significance

Step-by-step explanation:

Part a

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:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the difference of proportions is given by the following formula:

$(\hat p_1 -\hat p_2) \pm z_{\alpha/2}\sqrt{\frac{\hat p_1 (1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

Replacing the info given we got:

$(0.834-0.79) - 1.96\sqrt{\frac{0.834(1-0.834)}{500}+\frac{0.79(1-0.79)}{500}}=-0.00435$

$(0.834-0.79) - 1.96\sqrt{\frac{0.834(1-0.834)}{500}+\frac{0.79(1-0.79)}{500}}=0.0924$

The 95% confidence interval for the true difference of proportions is given by (-0.00435;0.0924)

Part b

For this case since the confidence interval contians the value 0 we can't conclude that the true proportion of men who know the name of the current vice president is different than the true proportion of women that know the name the current vice president at 5% of significance

6 0

4 years ago

The Grayson family got a new backyard swimming pool. When they tell their friends how much water it holds, they round the number

guajiro [1.7K]

If there is 51 liters currently in the pool, and it is rounded to the nearest hundred; the answer would be 100 liters.

5 0

4 years ago

In a large population, 91% of the households have cable tv. A simple random sample of 144 households is to be contacted and the

vlada-n [284]

Answer with explanation:

We are given that $\hat{p}=0.91$

Sample size : $n=144$

The mean of the sampling distribution of the sample proportions is given by :-

$\mu_{\hat{p}}=p=0.91$

The mean of the sampling distribution of the sample proportions is <u>0.91</u>

The standard deviation of the sampling distribution of the sample proportions :

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}\\\\=\sqrt{\dfrac{0.91(1-0.91)}{144}}=0.0238484800354\approx0.0238$

Hence, the standard deviation of the sampling distribution of the sample proportions is <u>0.0238</u>

4 0

4 years ago

What is the value of the expression 7−3 ?

Oliga [24]

I think it should be 1/343

4 0

3 years ago

Based on its degree, what kind of polynomial is this <br><br> h(x)= -6x^3+2x-5

Lelechka [254]

Answer:

cubic polynomial

Step-by-step explanation:

Given polynomial is $h(x)=-6x^{3}+2x-5$

A polynomial of degree 1 is a linear polynomial.

A polynomial of degree 2 is a quadratic polynomial.

A polynomial of degree 3 is a cubic polynomial.

In this case the exponent with the maximum value in the polynomial is 3.

Hence the degree of the polynomial h(x) is 3.

Hence the given polynomial is a cubic polynomial.

7 0

3 years ago