You have to use the equation which has just slipped my mind. It say x1-y1 over x2-y2. Then you will find x. I am so sorry this equation name slipped my mind. If I remember I will let you know.

4 0

2 years ago

Find the area of the polygon.

zalisa [80]

Answer:

$A=128\ cm^2$

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of a square plus the area of four congruent triangles

$A=b^2+4[\frac{1}{2}(b)(h)]$

where

$b=8\ cm\\h=4\ cm$

substitute

$A=8^2+4[\frac{1}{2}(8)(4)]$

$A=64+64=128\ cm^2$

4 0

2 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

Tom is drawing a map of the block on which he lives, using a scale of 1 inch to 160 feet. The actual length of his block is 1,80

Basile [38]

The length of tom's block on his map is 11.25 inches

5 0

2 years ago

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