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3 years ago

9

Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of

15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?

1 answer:

Nostrana [21]3 years ago

6 0

The volume would be 768 cm^3

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Write a rational equation that can be solved by multiplying each side by 5(a+2)

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How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99% of the time

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The manufacturer should advertise 13811 pages for each cartridge if it wants to be correct 99% of the time

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1 year ago

Solve the equation by factoring. 2x^2 + 15x + 25 = 0

Pepsi [2]

Answer:(2x+5)(x+5)=0

Step-by-step explanation:

2x^2+15x+25=0

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3 years ago

Read 2 more answers

Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago