MATHEMATICS
MIDDLE SCHOOL

Answer:

Jordan it a bigger number

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HIGH SCHOOL

Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these questions have exactly 8 correct answers of false? a.

425

c.

500

b.

495

d.

515

Please select the best answer from the choices provided

A

B

C

D

Answer:

Correct choice is b.

Step-by-step explanation:

Rafael is taking a test that contains a section of 12 true-false questions. Exactly 8 correct answers of false from 12 true-false questions have

possible groups.

MIDDLE SCHOOL

During his science lab session, anthony finds that the mass of a sample of copper is 63.5 grams and its density is 8.9 grams per cubic centimeter. What is the approximate volume of the sample? A. 4 cm

B. 7.1 cm

C. 12.5 cm

D. 17 cm

The volume would be 7.1cm. The density formula is m/v=d, and we already know that the mass is 63.5g and the density is 8.9g/cm cubed, we can isolate the variable. 63.5/v = 8.9 so 63.5/v(v) = 8.9(v). 63.5 = 8.9v. To isolate v, we divide each side by 8.9, giving us v = 7.1 (approximately).

MIDDLE SCHOOL

What is the slope-intercept form of the function described by this table? x=1,2,3,4

y=8,13,18,23

Help Please

Answer:

y = 5x + 3

Step-by-step explanation:

Slope = (13 - 8)/(2-1) = 5

Equation:

y - 8 = 5(x - 1)

y - 8 = 5x - 5

y = 5x - 5 + 8

y = 5x + 3

COLLEGE

Suppose that 10th grade girls have hair lengths that are normally distributed with a mean of 10 inches and a standard deviation of 4 inches. How long would a 10th grade girl's hair have to be so that it is longer than 80% of all girls?

Answer:

She would have to be 13.36 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

How long would a 10th grade girl's hair have to be so that it is longer than 80% of all girls?

80th percentile, so the value of X when Z has a pvalue of 0.80. So X when Z = 0.84.