Answer:
The standard deviation of number of hours worked per week for these workers is 3.91.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem we have that:
The average number of hours worked per week is 43.4, so 
.
Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.
This means that the Z score of 
has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use 
.
The standard deviation of number of hours worked per week for these workers is 3.91.
Answer:
Answer
sqrt(108)
6 sqrt(3)
10.3923
I don't know which answer you want.
Step-by-step explanation:
- Drop a perpendicular from the top angle to the base.
- The base is cut into 2 equal parts.
- Each part is 12/2 = 6
- The perpendicular, as its name implies, meets the base at 90o.
- You can use the Pythagorean Theorem to find the height.
h^2 = side^2 - (1/2 b)^2
h^2 = 12^2 - 6^2
h^2 = 144 - 36
h^2 = 108
Take the square root of both sides
h = sqrt(108)
h = sqrt(2*2 * 3 * 3 * 3)
h = 2 * 3 sqrt(3)
h = 6sqrt(3)
h = 6 * 1.7321
h = 10.3923
Answer:
-1
Step-by-step explanation:
Plug in given values
-4x + 5y + 6z
-4(-2) + 5(3) + 6(-4)
8 + 15 -24
23-24
-1
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
<u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>:</u><u>)</u>
<span>The correct answer is 1.
Explanation:
The way this is written, everything after the words "divided by" would be calculated first; it is written as though this is a grouping, such as 20/(2*(5+5)). We would evaluate the innermost parentheses first; 5+5=10. Then this gives us 2*10=20 in our parentheses. 20/20 = 1.</span>
