Answer:
x=130 I believe
Step-by-step explanation:
28+8+14+x=180
50+x=180
x=130
Prime only has two factors one and its self a composite number has more factor than one and its self
exsample: 12 - 1,2,3,4,6,12 = 12 is a composite number
7 - 1,7 =prime number
<h2>
Explanation:</h2>
In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m
Since the shading on the left side, and the line goes through the x axis, your answer would be B.
Answer:
The sample size required is 289.
Step-by-step explanation:
Let <em>p</em> be population proportion of people that would buy the product.
It is provided that the nationwide poll on this type of product and price was run earlier this year, with percentages running from 75% to 80%.
Assume that the sample proportion of people that would buy the product is,
.
A 95% Confidence Interval is to be constructed with a margin of error of 5%.
We need to determine the sample size required for the 95% Confidence Interval to be within 5% of the actual value.
The formula to compute the margin of error for a (1 - <em>α</em>)% confidence interval of population proportion is:

The critical value of <em>z</em> for 95% confidence interval is,
<em>z</em> = 1.96.
Compute the sample size required as follows:

![n=[\frac{z_{\alpha/2}\ \sqrt{\hat p(1-\hat p)} }{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5C%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%20%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.96\cdot \sqrt{0.75(1-0.75)} }{0.05}]^{2}\\\\=(16.9741)^{2}\\\\=288.12007081\\\\\approx 289](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ccdot%20%5Csqrt%7B0.75%281-0.75%29%7D%20%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%2816.9741%29%5E%7B2%7D%5C%5C%5C%5C%3D288.12007081%5C%5C%5C%5C%5Capprox%20289)
Thus, the sample size required is 289.