Answer:
The percentage of the students scored higher than 89% is 15.87%
Step-by-step explanation:
we are given
The average test scores for a particular test in algebra was 84
so, mean is 84

a standard deviation of 5
so,

we have
x=89
now, we can use z-score formula

now, we can plug values


now, we can use calculator
and we get

So,
The percentage of the students scored higher than 89% is 15.87%
Answer: The sales price is $13.78
The original price is $57.41. It is selling at 76% off.
First, we need to find the discount. To find the discount, we need to find out what is 76% of $57.41
-------------------------------------------------
Find discount
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76% x $57.41 ← change the percentage to decimal
= 0.76 x 57.41
= $43. 63 (nearest hundredth)
Now that we know the discount, we can find the sales price by subtracting the discount from the original price.
-------------------------------------------------
Find sales price
-------------------------------------------------
$57.41 - $43.63 = $13.78
-------------------------------------------------
The sales price is $13.78.
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Answer:b
Step-by-step explanation:
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
<u>Given formula</u>
P = 2 (w + l)
<u>Substitute the value into the formula</u>
36 = 2 (w + 3w - 2)
<u>Simplify values in the parentheses</u>
36 = 2 (4w -2)
<u>Divide 2 on both sides</u>
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
<u>Add 2 on both sides</u>
18 + 2 = 4w - 2 + 2
20 = 4w
<u>Divide 4 on both sides</u>
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
Answer:
c
Step-by-step explanation: