Answer:
[0.4979, 0.5479]
Step-by-step explanation:
-We first determine the sample proportion:

-The confidence intervals of a sample proportion is calculated using the formula:

#We substitute for the sample proportion and z value to get the Confidence interval:
![CI=\hat p\pm z\sqrt{\frac{\hat p(1-\hat p}{n}}\\\\=0.5238\pm 1.645\times \sqrt{\frac{0.5238\times0.4762}{1008}}\\\\=0.5238\pm0.0259\\\\=[0.4979,0.5497]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Chat%20p%281-%5Chat%20p%7D%7Bn%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm%201.645%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.5238%5Ctimes0.4762%7D%7B1008%7D%7D%5C%5C%5C%5C%3D0.5238%5Cpm0.0259%5C%5C%5C%5C%3D%5B0.4979%2C0.5497%5D)
Hence, the 90% confidence intervals is [0.4979,0.5479]
1. Side length equals 12.
2. Side length equals 5.2.
3.Side length equals 14.66.
Answer:
57 degrees
Step-by-step explanation:
Answer:
RVS is equal to 180 - 26 degrees, or 154 degrees.
Bonus: I assume the next part of the question asks you to solve for x, where x is equal to that angle. If so, then the answer is 15:
154 = 10x + 4
150 = 10x
x = 15
<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>

<em><u>Solution:</u></em>
Given that,
We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line
From given,
-5x + 4y = 8
Rearrange to slope intercept form
4y = 5x + 8

On comparing the above equation with slope intercept form,

We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to the line -5x + 4y = 8 is:



Substitute c = 13 and m = 5/4 in eqn 1

Thus the equation of line in slope intercept form is found