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3 years ago

9

What is the mean of his grades?

1 answer:

Grace [21]3 years ago

6 0

The answer is 72. You add them all up and divide that number by how many numbers you added together.

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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

The distance from Palo Alto, CA and Columbus, OH is 2,470 miles. Due to the winds it takes 4 hours and 20 minutes to fly to Ohio

frutty [35]

Answer: 494 mph

Step-by-step explanation:

S=d/t

4 0

3 years ago

84,267 nearest thousands

AleksAgata [21]

So the answer would be 84,000. hope that helped

4 0

3 years ago

Read 2 more answers

20 PTS What is the sixth term of the sequence shown in the table? Term Value 1 –46,656 2 7,776 3 –1,296 4 216 5 6 {SEE IMAGE}

olganol [36]

Answer:

a₆ = 6

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = $\frac{216}{-1296}$ = $\frac{-1296}{7776}$ = $\frac{7776}{-46656}$ = - $\frac{1}{6}$

This indicates the sequence is geometric.

To obtain any term in the sequence, multiply the previous term by r, thus

a₅ = 216 × - $\frac{1}{6}$ = - 36

a₆ = - 36 × - $\frac{1}{6}$ = 6

8 0

4 years ago

What is the value of q?

andre [41]

Answer: here

Step-by-step explanation:riangles QST and RST are similar. Therefore, the following is true:

q s

--- = ---- This results in 10q=rs.

r 10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.

4 s

Also: ---- = ----- which leads to s^2 = 40

s 10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

hope it helps

6 0

3 years ago