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IRISSAK [1]
3 years ago
8

Define the variables for the situation. Then enter an equation.

Mathematics
1 answer:
svp [43]3 years ago
8 0

Answer:

<u>Definitions of the variables in the situation:</u>

J = Jana's age

S = Sister's age

<u>The Equation:</u>

J + 8 = S

Step-by-step explanation:

<u>Explanation: </u>

In the equation we will use the variable J for Jana and S for Janna's sister. Since we know Jana's age plus 8 equals her sister's age, the equation will be J + 8 = S

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An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. What is the probability of randomly picking out a marbl
anastassius [24]

Answer= .2 probability

Explanation: Since there is a total of 10 marbles, and 2 are red, you would divide the red marbles (2) out of the total marbles (10) which would get u .2. Since it’s asking for probability, we would keep .2 a decimal.

6 0
3 years ago
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

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

1.175 = \frac{48 - 43.4}{\sigma}

1.175\sigma = 4.6

\sigma = \frac{4.6}{1.175}

\sigma = 3.91

The standard deviation of number of hours worked per week for these workers is 3.91.

6 0
3 years ago
What is the area of a regular hexagon if a side is 30
sergij07 [2.7K]
<h3>Answer:</h3>

1350\sqrt{3} square units (approximately 2338.26859)

<h3>Step-by-step explanation:</h3>

The formula for finding the area of a regular hexagon when you know its side length is A=\frac{3\sqrt{3}*s^2}{2}, where A is the area and s is the side length.

  1. Substitute in the side length. A=\frac{3\sqrt{3}*30^2}{2}
  2. Simplify the exponent. A=\frac{3\sqrt{3}*900}{2}
  3. Multiply. A=\frac{2700\sqrt{3}}{2}
  4. Divide. A=1350\sqrt{3}

1350\sqrt{3} is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.

4 0
3 years ago
How do you do this math??
Elis [28]

Answer:

9.6

Step-by-step explanation:

10 = 8

12 = x

then simply solve for x

3 0
3 years ago
Please help with this question ASAP!
Naddik [55]

Answer:

8w : 3.8974342 ≈ 3.9 or 4 (hope it help)

Step-by-step explanation:

1w : 2

2w : 2 + 10% = 2.2

3w : 2.2 + 10% = 2.42

4w : 2.42 + 10% = 2.662

5w : 2.662 + 10% = 2.9282

6w : 2.9282 + 10% = 3.22102

7w : 3.22102 + 10% = 3.543122

8w : 3.543122 + 10% = 3.8974342

3.8974342 ≈ 3.9 or 4

6 0
3 years ago
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