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Scorpion4ik [409]
3 years ago
14

Wendy and malia randomly pick out seats on the airplane.wendy chooses a seat first.Next,Malia picks one of the remaining seats.A

re these events dependent or independent?

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0
They are independent
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Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

4 0
2 years ago
An are whose measure is exactly 180°​
Elenna [48]

Answer:

<u><em>Mmeasure is exactly 180°​</em></u>

semi-circle because the measure of a whole circle is 360°.

<u><em> Arc :</em></u>

The arc of a circle consists of two points on the circle and all of the points on the circle that lie between those two points. It's like a segment that was wrapped partway around a circle. An arc is measured not by its length (although it can be, of course) but most often by the measure of the angle whose vertex is the center of the circle and whose rays intercept the endpoints of the arc. Hence an arc can be anywhere from 0 to 360 degrees.

5 0
3 years ago
ASAP!!! ILL MARK BRAINIEST!!!The expression on the left side of an equation is shown below. 3 x + 9 = box If the equation has no
AleksandrR [38]

Answer:

C. 3x

Step-by-step explanation:

The first two choices give 1 solution each.

The last choice gives an infinite number of solutions.

Choice C. gives no solution.

3x + 9 = 3x

Subtract 3x from both sides.

9 = 0

Since 9 = 0 is false, equation 3x + 9 = 3x has no solution.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please explain how to do it I know the answer is 30%
Andrews [41]

To find this percentage, it will make it easier if it is worded differently. Put it "15 is what percent of 50?"

To find the percentage, simply divide 15 by 50 then multiply that quotient by 100.

15 / 50 = 0.3

0.3 x 100 = 30 = 30%

8 0
3 years ago
I will give brainliest if work is shown
Vilka [71]

Answer:

The answer is G

Step-by-step explanation:

2 to the power of 3 is 8.

3 to the power of 2 is 9

so we end up with the equation

8x9x7

which equals 504.

4 0
3 years ago
Read 2 more answers
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