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:
0.89
Step-by-step explanation:
2.24/3 = 0.89
She paid 89 cents per pound of tomatoes.
Have a great day!
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Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts
m = 
= 
= 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line
Answer:
<h3>Mass of B in Kg = -558.44kg</h3>
Step-by-step explanation:
LET'S DO THIS!
Total mass of A, B and C = 1.95kg
Mass of A = 700 kg
Mass of B = 4x the mass of c (4 x C) which is 4c
Mass of C = ? ( let's call it C )
<h3>Adding all together </h3>
700 + 4c + C = 1.95
<h3>Add like terms</h3>
700 + 5C = 1.95
5C = 1.95 - 700
5C = -698.05
C = -698.05 ÷ 5
<h3>C = -139.61</h3>
<h3>To find B now </h3><h3>Remember they said B is 4 times the mass of C and C = -139.61</h3>
therefore B = 4 × -139.61
<h3>B = -558.44 kg </h3>
<h3>To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg</h3>
<h3>Using your calculator: </h3>
= 700 + ( -558.44 ) + ( -139.61 )
= 700 - 558.44 -139.61
= 1.95 kg
Which makes us CORRECT ✅.
<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
