The number of employees is 91.
According to the statement
Given that the standard deviation = 24.5
The width in the question = 13
We solve for the margin of error E.
E = width / 2
E= 13/2 = 6.5
At 90%
Alpha = 1-0.90
= 0.1
Alpha/2 = 0.1/2 = 0.05
Z 0.05 = 1.576
Now find the Sample size n
= ((1.576x24.5)/2)²
= 90.8
= 91
So, The number of employees is 91.
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Answer:
it is 4a-9....................
Answer:
y = 0.75
Step-by-step explanation:
(4y + 1) = 4
4y + 1 = 4
4y + 1 - 1 = 4 - 1
4y = 3
4y ÷ 4 = 3 ÷ 4
y = 0.75
The value of k is -6
Step-by-step explanation:
The general form of the quadratic equation is y = ax² + bx + c
- The roots of the equation is the values of x when y = 0
- ax² + bx + c = 0, is used to find the roots
∵ 2x² + 11x = -k
- Add k to both sides
∴ 2x² + 11x + k = 0
∵ The roots of the quadratic equations is the values of x when y = 0
∵
is a root of the equation
- Substitute x by
in the equation above to find k
∵ 2(
)² + 11(
) + k = 0
∴ 2(
) +
+ k = 0
∴
+
+ k = 0
- Add the like terms
∵
+
=
= 6
∴ 6 + k = 0
- Subtract 6 from both sides
∴ k = -6
The value of k is -6
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The area would be .4 cubic feet. The perimeter would be 2.1