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3 years ago

Help Rjrjrhrjrjrjjrjrjrjrjrhrh

Mathematics

1 answer:

slega [8]3 years ago

7 0

Answer:

Step-by-step explanation:

Apply pythagorean theorem, a² = c² - b²

Where, a = third side

b = 55

c = 73

Plug in the values

a² = 73² - 55²

a² = 2,304

a = √2,304 = 48

a = 48

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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n

konstantin123 [22]

Answer:

a) $P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

b) $P(13.848$ Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by $S^2$ and we select a random sample of size n from a normal population with a population variance $\sigma^2$ . And we define the following statistic:

$T = \frac{(n-1) S^2}{\sigma^2}$

And the distribution for this statistic is $T \sim \chi^2_{n-1}$

For this case we know that n =25 and $\sigma^2 = 6$ so then our statistic would be given by:

$\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2$

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

$P(S^2 > 9.1)$

And we can multiply the inequality by 4 on both sides and we got:

$P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502$

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

$P(3.462 < S^2$

If we multiply the inequality by 4 on all the terms we got:

$P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2$ And we can find this probability like this: $P(13.848$ And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

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2 years ago

Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.

pav-90 [236]

Just add them
QM+MR=QR
16+x+2(x+2)=QR
16+x+2x+4=QR
20+3x=QR

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2 years ago

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yaroslaw [1]

Answer:

answer is 11 feet is the correct answer

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2 years ago

On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to

kotykmax [81]

Answer:

13 1/2 hours

Step-by-step explanation:

4/6=9/x then find the rate and solve

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2 years ago

I HAVE 5 MIN TO TURN THIS IN!!!! PLEASE HELP ME!!!<br> IT'S IN THE IMAGE BELOW

Mariulka [41]

Answer:

<h3>a. x = 8 years</h3><h3>b. 52,000</h3><h3 />

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

<u>company A = company B</u>

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = <u>8,000</u>

1,000

<h3>x = 8 years</h3>

plugin value of x = 8 into company A and B

company A = 28,000 + 3,000 (8)

<h3>company A = 52,000</h3>

company B = 36,000 + 2,000 (8)

<h3>company B = 52,000</h3>

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2 years ago