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vladimir2022 [97]
3 years ago
15

Find the distance between the pair of points.

Mathematics
2 answers:
Burka [1]3 years ago
6 0
The answer is D. 14.8
Hope it helps

andrey2020 [161]3 years ago
5 0
Most likely D. Turn the points into triangle and calculate the hypotenuse
3^2+7^2 and 4^2+6^2. I got 14.7 which is the closest to D.


Hope this helps! ; )
You might be interested in
You’ve bought a half-dozen (six) eggs from the store but you forgot to check them first! The probability that no eggs are broken
GREYUIT [131]

Answer:

a)

P(X = 0) = C_{6,0}.(0.1416)^{0}.(0.8584)^{6} = 0.4

P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960

P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633

P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359

P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044

P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003

P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001

b) 56.77% probability that an even number of eggs is broken.

c)

Expectation: 0.8496

Variance: 0.7293

Step-by-step explanation:

For each egg, there are only two possible outcomes. Either it is broken, or it is not. The probability of an egg being broken is independent from other eggs. So 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.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

There are 6 eggs

So n = 6

The probability that no eggs are broken is 0.4.

This means that P(X = 0) = 0.4. So

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

P(X = 0) = C_{6,0}.p^{0}.(1-p)^{6}

(1 - p)^{6} = 0.4

Taking the sixth root from both sides of the equality

(1 - p) = 0.8584

p = 0.1416

Each egg has a 0.1416 probability of being broken

(a) Write out the pmf of X.

Probability of each value, from 0 to 6

P(X = 0) = C_{6,0}.(0.1416)^{0}.(0.8584)^{6} = 0.4

P(X = 1) = C_{6,1}.(0.1416)^{1}.(8584)^{5} = 0.3960

P(X = 2) = C_{6,2}.(0.1416)^{2}.(8584)^{4} = 0.1633

P(X = 3) = C_{6,3}.(0.1416)^{3}.(8584)^{3} = 0.0359

P(X = 4) = C_{6,4}.(0.1416)^{4}.(8584)^{2} = 0.0044

P(X = 5) = C_{6,5}.(0.1416)^{5}.(8584)^{1} = 0.0003

P(X = 6) = C_{6,6}.(0.1416)^{6}.(8584)^{0} = 0.00001

(b) Compute the probability that an even number of eggs is broken.

0, 2, 4 or 6

P = P(X = 0) + P(X = 2) + P(X = 4) + P(X = 6) = 0.4 + 0.1633 + 0.0044 + 0.00001 = 0.5677

56.77% probability that an even number of eggs is broken.

(c) Compute the expectation and variance of X.

Expectation:

E(X) = np = 6*0.1416 = 0.8496

Variance:

V(X) = np(1-p) = 6*0.1416*0.8584 = 0.7293

7 0
4 years ago
Many elementary school students in a school district currently have ear infections. A random sample of children in two different
Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school n_1 = 42

sample size for the second school n_2  = 34

so 16 out of 42 i.e x_1 = 16 and 18 out of 34 i.e x_2 = 18 have ear infection.

the proportion of students with ear infection Is as follows:

\hat p_1 = \dfrac{16}{42} = 0.38095

\hat p_2 = \dfrac{18}{34}  =  0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}

\bar p = \dfrac{16 +18}{42 +34}

\bar p = \dfrac{34}{76}

\bar p = 0.447368

\bar p + \bar  q = 1 \\ \\ \bar q = 1 -\bar  p \\  \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632

The pooled standard error can be computed by using the formula:

S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} +  \dfrac{\bar p \bar p}{n_2} }

S.E = \sqrt{ \dfrac{  0.447368 *  0.552632}{ 42} +  \dfrac{ 0.447368 *  0.447368}{34} }

S.E = \sqrt{ \dfrac{  0.2472298726}{ 42} +  \dfrac{ 0.2001381274}{34} }

S.E = \sqrt{ 0.01177284105}

S.E = 0.1085

The test statistics is ;

z = \dfrac{\hat p_1 - \hat p_2}{S.E}

z = \dfrac{0.38095- 0.5294}{0.1085}

z = \dfrac{-0.14845}{0.1085}

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

5 0
4 years ago
-6/5×-4=-46 step by step​
podryga [215]

Answer:

Step-by-step explanation:

6/5×-4=-46

Collecting like terms

6/5x = -46 + 4

6/5x = -42

Multiply each term by 5

6x = -210

Dividing each term by 6

x = -210/6

x = -35

5 0
3 years ago
Simplify negative 15.5 divided by 5. and pls tell me how to simplify and give a step by step explanation thanks!
geniusboy [140]

Answer:

The answer is -3.1, or 3 1/10.Since diving a negative and a positive equals a negative, your quotient will be negative. You can start by removing the 0.5, and divide 15 by 5 which is 3. Then with the 0.5 from -15.5, divide it by 5 and you get 0.1. 3 plus 0.1 is 3.1, and since it has to be negative, it's -3.1.

Step-by-step explanation:

i tried, have a nice day (:

3 0
4 years ago
Which ideas from the excerpt would be most appropriate to include in a summary? Select three options. Popular novels from the pa
diamong [38]

This question is incomplete because the excerpt is missing; here is the excerpt:

Read the excerpt from President Ronald Reagan’s speech on the night before the 1980 presidential election.

A popular novel of the '60s ended prophetically with its description of a "kindly, pleasant, greening land about to learn whether history still has a place for a nation so strangely composed of great ideals and uneasy compromise as she.” That is really the question before us tonight: for the first time in our memory, many Americans are asking: does history still have a place for America, for her people, for her great ideals? There are some who answer "no”; that our energy is spent, our days of greatness at an end, that a great national malaise is upon us. They say we must cut our expectations, conserve and withdraw, that we must tell our children . . . not to dream as we once dreamed. Last year I lost a friend who was more than a symbol of the Hollywood dream industry; to millions, he was a symbol of our country itself. And when he died, the headlines seemed to convey all the doubt about America, all the nostalgia for a seemingly lost past. "The Last American Hero,” said one headline; "Mr. America dies,” said another. Well, I knew John Wayne well, and no one would have been angrier at being called the "last American hero.” Just before his death, he said in his own blunt way, "Just give the American people a good cause, and there’s nothing they can’t lick.” Duke Wayne did not believe that our country was ready for the dust bin of history, and if we’ll just think about it we too will know it isn’t.

The answers to this question are A. Popular novels from the past often ask provocative questions...; B. Many Americans have given up and say that the nation is no longer great...; and D. Wayne would argue that he was not the last American hero...

Explanation:

In a summary, the purpose is to include key details that help the reader understand the topic of a text. In the excerpt, President Reagan wonders if America is still a great nation or has still a place in history. First,  Reagan explains this idea emerged from a novel of the 60s, as he cites the novel "whether history still has a place for a nation so strangely composed of great ideals". According to this, one key detail or idea is that some novels have intriguing questions that might be considered today (Option A).

Also, Reagan provides two answers to the question. The first one is that many citizens believe the greatness of America has ended; this is expressed in "There are some who answer "no”; that our energy is spent, our days of greatness at an end" (Option B); the second one is that America is still full of greatness and heroes; this is explained by Reagan as he mentions Duke Wayne died, and the headline was "The Last American Hero"; but he considers Wayne would completely disagree with this as he had hope in America. Thus, the third detail is described by option (D).

6 0
4 years ago
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