Answer:
y = 52 - 8x
Step-by-step explanation:
If he painted for 3 hours at a rate of 8 square meters per hour, the area painted was:

If after 24 squared meters painted, there are still 28 left, the total area is:

The area still left to paint is initially 52 squared meters and decreases at a rate of 8 square meters per hour, the function that describes the relationship between the area left to paint (y) and number of hours (x) is:
y = 52 - 8x
5x + 4y = 32 ⇒ 45x + 36y = 288
9x - 1y = 33 ⇒ <u>45x - 5y = 165</u>
<u>41y</u> = <u>123</u>
41 41
y = 3
5x + 4(3) = 32
5x + 12 = 32
<u> - 12 - 12</u>
<u>5x</u> = <u>20</u>
5 5
x = 4
(x, y) = (4, 3)
The correct answer is option C which is
.
<h3>What is a matrix?</h3>
Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.
The multiplication of the matrix will be calculated as:-
M = ![\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%2664%26%5C%5C78%2630%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M = ![\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cdfrac%7B12%7D%7B2%7D%26%5Cdfrac%7B64%7D%7B2%7D%26%5C%5C%5Cdfrac%7B78%7D%7B2%7D%26%5Cdfrac%7B30%7D%7B2%7D%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M =
.
Therefore the correct answer is option C which is
.
To know more about matrix follow
brainly.com/question/1821869
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Answer:
a) z = -1.645
b) z = 0.674
Step-by-step explanation:
We have to find the value of z of a standard normal variable Z that satisfies each of the following conditions.
a) 5% of the observations fall below z
Calculation the value from standard normal z table, we have,

b) 25% of the observations fall above z

Calculation the value from standard normal z table, we have,
