Step-by-step explanation:
4^m * 4^2 = 12
4^(m + 2) = 4^(log4 12)
m + 2 = log4 (12)
m = log4 (12) - 2.
Given the scores on a statewide standardized test are normally distributed
Mean = μ = 78
Standard deviation = σ = 3
Normalize the data using the z-score by using the following formula and chart:

Estimate the percentage of scores of the following cases:
(a) between 75 and 81
so, the z-score for the given numbers will be:

As shown, the percentage when (-1 < z < 1) = 68%
(b) above 87

The percentage when (z > 3) = 0.5%
(c) below 72

The percentage when (z < -2) = 0.5 + 2 = 2.5%
(d) between 75 and 84

The percentage when ( -1 < z < 2 ) = 68 + 13.5 = 81.5%
The answer is C. One you enter the third decimal space the fraction moves to the thousandths place, so it would be 6/1000
Answer:
.<em>7</em><em>(</em><em>2</em><em>a</em><em> </em><em>+</em><em>1</em><em>)</em><em> </em><em>-</em><em> </em><em>4</em><em>(</em><em>8</em><em>a</em><em> </em><em>+</em><em>3</em><em>)</em>
<em>1</em><em>4</em><em>a</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>-</em><em> </em><em>3</em><em>2</em><em>a</em><em> </em><em>+</em><em> </em><em>3</em>
<em>1</em><em>4</em><em>a</em><em> </em><em>-</em><em> </em><em>3</em><em>2</em><em>a</em><em> </em><em>+</em><em>7</em><em>+</em><em>3</em>
<em>=</em><em> </em><em><u>-18a</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em>
Step-by-step explanation:
hello
hope that will help you
Answer:
Mike made $ 200.63 last Friday.
Step-by-step explanation:
Since Ms. Peralta's friend Mike is a construction worker who gets paid $ 15 an hour, and after working 9 hours he gets paid 1.25 times his hourly rate, and last Friday Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - and worked for an additional 7.5 hours, to determine how much money did Mike make last Friday the following calculation must be performed:
5 + 7.5 = 12.5
12.5 - 9 = 3.5
9 x 15 + (3.5 x (15 x 1.25)) = X
135 + 3.5 x 18.75 = X
135 + 65.625 = X
200.63 = X
Therefore, Mike made $ 200.63 last Friday.