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3 years ago

The headquarters of the United States Department of Defense is the Pentagon,

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Answer:

Each side is 320 feet

Step-by-step explanation:

1600/5=320 or 320x5=1600

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Let x denote the courtship time for a randomly selected female–male pair of mating scorpion flies (time from the beginning of in

gavmur [86]

Complete Question:

a) Is it plausible that X is normally distributed?

b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?

Answer:

a) It is plausible that X is normally distributed

b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269

Step-by-step explanation:

a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.

b) Probability that the sample mean courtship time is between 100 min and 125 min

$\mu = 120\\n = 50$

$P(x_{1} < \bar{X} < x_{2} ) = P(z_{2} < \frac{x_{2}- \mu }{SD} ) - P(z_{1} < \frac{x_{2}- \mu }{SD})$

$SD = \sqrt{\frac{\sigma^{2} }{n} } \\SD = \sqrt{\frac{110^{2} }{50} } \\SD = 15.56$

$P(100 < \bar{X}$

From the probability distribution table:

$P(z_{2} < 0.32 ) = 0.6255\\ P(z_{1} < -1.29) = 0.0986$

$P(100 < \bar{X}$

6 0

3 years ago

Hey um i really need help i tried to do it but i couldn't do it

kenny6666 [7]

Answer:

ok i dnt know but

Step-by-step explanation:

go to https://mathsolver.microsoft.com/en/solve-problem/2%20%60left(%20y-3%20%60cdot%20%204%20%20%60right) if it dnt work try a calculator

7 0

3 years ago

What is m∠A ?<br> Please see attachment <br> (The Triangle Sum Theorem)

goblinko [34]

The triangle sum theorem says all 3 interior angles must equal 180 degrees.

so, 43 + 35 = 78. [ 180 - 78 = 102 degrees for the missing angles shared by the 2 triangles.

102 + 18 = 120. [180 - 120 = 60}

leaving the measure of Angle A as 60 degrees.

5 0

4 years ago

Read 2 more answers

Answer ASAP<br> What is the volume of the triangular prism below?

natita [175]

Answer: 18- Hope this helps :)

(re-do with explanation)

Step-by-step explanation: The volume formula for a triangular prism is (height x base x length) / 2

All you must do is calculate it which is 4 x 3 x 3 = 36 and than you divide it by half and you get your answer- 18

5 0

3 years ago

Round 14.57 to the nearest whole number.