All categories

2 years ago

Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete.

Mathematics

1 answer:

Nataly [62]2 years ago

6 0

Answer:

What is the question

Step-by-step explanation:

This is only the information what is the question

You might be interested in

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

3 years ago

Solve the expression 7^P 2 (P = permutation)

Keith_Richards [23]

Answer:

Step-by-step explanation:

$_aP_b = \dfrac{a!}{(a - b)!}$

$_7P_2 = \dfrac{7!}{(7 - 2)!}$

$_7P_2 = \dfrac{7 \times 6 \times 5!}{5!}$

$_7P_2 = 7 \times 6$

$_7P_2 = 42$

3 0

4 years ago

A sphere is inscribed in a cylinder. Use complete sentences and geometric formulas to compare the surface area of the sphere and

grandymaker [24]

Answer:

1 : 1

Step-by-step explanation:

When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.

Let the radius of sphere is r.

height of cylinder, h = 2r

radius of cylinder = r

Surface area of sphere, A = 4πr²

lateral surface area of cylinder, A' = 2 πrh

A' = 2πr x 2r = 4πr²

The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.

7 0

3 years ago

Charlotte read a 608 page book in 16 hours last month how many pages per hour was that

Umnica [9.8K]

Pages per hour
pages/hour
608=pages
16=hours
608/16=38
38 pages per hour