What is the answer to this math question?

Help!

nignag [31]

1) 8 + 4 = -5 + 7

12 = 2

FALSE

2) y = -11x + 4

(0, -7): -7 = -11(0) + 4 ⇒ -7 = 0 + 4 ⇒ -7 = 4 False

(-1, -7): -7 = -11(-1) + 4 ⇒ -7 = 11 + 4 ⇒ -7 = 15 False

(1, -7): -7 = -11(1) + 4 ⇒ -7 = -11 + 4 ⇒ -7 = -7 True

(2, 26): 26 = -11(2) + 4 ⇒ 26 = -22 + 4 ⇒ 26 = -18 False

Answer: C

3) Input Output

0 0

1 3

2 6

3 9

4 12

5 15

6 18

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

$\frac{2x}{2} = \frac{-6}{2}$

x = -3

6) 8j - 5 + j = 67

9j - 5 = 67 added like terms (8j + j)

+5 +5

9j = 72

$\frac{9j}{9} = \frac{72}{9}$

j = 8

7) y = mx + b

-b -b

y - b = mx

$\frac{y - b}{x} = \frac{mx}{x}$

$\frac{y - b}{x} = m$

5 0

3 years ago

The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

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

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

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

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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$