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3 years ago

1. what is the phythaforean theorem?

Mathematics

1 answer:

irina1246 [14]3 years ago

8 0

Answer:

phythaforean theorem:

1 . The square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

2. Find the square root to find the accurate length of the hypotenuse.

distance formula:

1. The distance formula is used to determine the distance, d, between two points.

distance = speed × time

Formula- d= √x2-x1)²+(y2-y1)²

2. It's used for :

-Finding the perimeter of polygons

-Finding the area of rectangles

-Finding the equation of a circle

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3 years ago

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3 years ago

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Finger [1]

Answer:

The 95% confidence interval for difference between population proportion is (-0.0194, -0.0006).

Step-by-step explanation:

The confidence interval for difference in population proportion formula is,

$(\hat p_{2}-\hat p_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

The given information is:

n₁ = 11508

X₁ = 921

n₂ = 4967

X₂ = 452.

Compute the sample proportion values as follows:

$\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{921}{11508}=0.08\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{452}{4967}=0.09\\$

The critical value of <em>z</em> for 95% confidence interval is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the standard normal table.

Compute the 95% confidence interval for difference between proportions as follows:

$CI=(\hat p_{2}-\hat p_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}\\=(0.08-0.09)\pm1.96\times \sqrt{\frac{0.08(1-0.08)}{11508}+\frac{0.09(1-0.09)}{4967}}\\=-0.01\pm0.0094\\=(-0.0194, -0.0006)$

Thus, the 95% confidence interval for difference between population proportion is (-0.0194, -0.0006).

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3 years ago

Steven borrows $60,000 for school. The interest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple

mihalych1998 [28]

Answer:

D) $46800

===========================

The amount of simple interest is:

Interest = Loan * rate * time

I = P * r * t

Given:

P = $60000, r = 6.5%, t = 12 years

Substitute and calculate:

I = 60000*(6.5/100)*12 = 46800

The matching choice is D.

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2 years ago

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aniked [119]

Answer:

Your answer is 36

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3 years ago