Tony solves the linear equation 3(x - 3) + 2x + 9 = 2x + 2(x - 1) using the step shown below.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

8 0

Answer:

D.)

Step-by-step explanation:

because when you have numbers inside the parentheses, you have to multiply both of those numbers by the number to the right of the parentheses, not just the X.

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The scores on a test are normally distributed with a mean of 78 and a standard deviation of 13. Find the score that is 2 standar

Veronika [31]

Answer:

Step-by-step explanation:

Given that :

Mean (m) = 78

Standard deviation (s) = 13

Score that is 2 standard deviations below the mean

Using the relation :

Zscore = (x - m) / s

2 standard deviations below the mean means a Zscore of - 2

Hence,

-2 = (x - 78) / 13

Cross multiply

-2 * 13 = x - 78

-26 = x - 78

x = - 26 + 78

x = 52

Score which is 2 standard deviations below the mean is 52

4 0

3 years ago

The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers

gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked $\times$ cost per hour