Use long division to find each quotient. Show your computation and write your answer as a decimal.

Mathematics

1 answer:

musickatia [10]2 years ago

6 0

A= 4.4 B= 0.875 should be the answers

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Solve (x + 9)2 = 25.

Rina8888 [55]

Answer:

x = -4 and x = -14

Step-by-step explanation:

Our equation is (x + 9)² = 25

Applying the square root property we would need to take the square root of both sides: $\sqrt{(x+9)^{2} } =\sqrt{25}$

This give us x + 9 = ±5

Here we have two equations since taking the square root gives us a positive and negative value

Our first equation is x + 9 = 5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -4

Our second equation is x + 9 = -5, and to isolate the variable we would need to subtract 9 from both sides, giving us x = -14

3 0

2 years ago

Solve for d.<br> 19d -16d-d-d-1 = 12

Reika [66]

Answer:

d = 13

Step-by-step explanation:

19d - 16d - d - d - 1 = 12

19d + (-16 - 1d - 1d) - 1 = 12

19d + (--18d) - 1 = 12

19d - 18d - 1 = 12

1d = 12 + 1

d = 13

Check:

19*13 - 16*13 - 13 - 13 - 1 = 12

247 - 208 - 26 - 1 = 12

39 - 27 = 12

7 0

5 months ago

A normal distribution has a mean of 137 and a standard deviation of 7. Find the z-score for a data value of 121. Incorrect Round

Neko [114]

Answer:

The z-score for a data value of 121 is -2.29.

Step-by-step explanation:

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.

In this problem, we have that:

$\mu = 137, \sigma = 7$