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3 years ago

Use the Pythagorean Theorem to find the distance from Anna's house to the tree house.

Mathematics

1 answer:

valentina_108 [34]3 years ago

4 0

Answer:

A²+b²=c²

Step-by-step explanation:

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A recent survey of students at John Tukey High School revealed that

RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that $p = 0.18$

You randomly select 15 students

This means that $n = 15$

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051$

$P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678$

$P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234$

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0

3 years ago

A track and field playing area is in the shape of a rectangle with semicircles at each end. See the figure. The inside perimeter

Schach [20]

Answer:

Step-by-step explanation:

Let x be the track straights lengths

Let y be the track ends diameter and the other rectangle side lengths.

1800 = 2x + πy

y = (1800 - 2x) / π

A = xy

A = x((1800 - 2x) / π

A = (1/π)(1800x - 2x²)

dA/dx = (1/π)(1800 - 4x)

0 = (1/π)(1800 - 4x)

0 = 1800 - 4x

4x = 1800

x = 450 m

y = (1800 - 2(450)) / π

y = 900/π or approximately 286.5 m

8 0

3 years ago

How many minutes does it take Devon to travel 10 miles at 40 miles per hour?

Zolol [24]

It would be 15 minutes.

10/40 is 1/4, and 1/4 of an hour would be 15 minutes.

There ya go :)

7 0

3 years ago

Which number is a squared number, 36 or 35?

Crank

Answer:

Step-by-step explanation:

6^2=36

3 0

3 years ago

you buy rice for $0.71 a pound.one batch of fried rice requires 6 pounds of rice.how much does the rice for one batch cost? roun

Vladimir79 [104]

Answer: 4.26

Step-by-step explanation:

5 0

3 years ago