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3 years ago

Define Hypotenus I have forgotten what it is

2 answers:

4 0

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

<em>It is useful in different situations involving the need to find distance or the measure of an angle.</em>

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

irinina [24]3 years ago

3 0

A^2 + b^2 = c^2. A and B are the legs and C is the hypotenuse. fill in the leg lengths where they belong then solve for C.

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Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection

guapka [62]

Answer:

250 - 20 < 80 + 15x

Step-by-step explanation:

Given that

Beth has 250 books and 20 books sold each week

While on the other hand, Martin has 80 books and sell 15 books each week

Let us assume each week be x

Now the equations are

Beth 250 - 20x

Martin 80 + 15 x

Now the inequality would be

250 - 20 < 80 + 15x

8 0

3 years ago

The sum of two numbers is 70 and their difference is 30. Find the two numbers

ikadub [295]

Answer:

Our two numbers are 50 and 20

Step-by-step explanation:

Sum means add together

Difference means subtract each other

x + y = 70

x - y = 30

subtract from each other

2x = 100

divide both sides by 2

x = 50

our first number is 50

50 + y = 70

subtract both sides by 50

y = 20

Our two numbers are 50 and 20

8 0

3 years ago

How many quarts and cups are in 2 gallons

MrMuchimi

There are 8.25 cups and quarts in two gallons

7 0

3 years ago

Read 2 more answers

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.