Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
Answer:
4 hours
Step-by-step explanation:
Alright, so Steve has $50 in his pocket. He wants to rent a bike for the maximum amount of time possible with his money. It costs him $12 per hour to rent a bike.
To solve this problem use simple arithmetic:
($50/$12=4.16)
So Steve is able to rent the bike for 4.16 hours, but we aren't done yet. Steve cannot purchase 16% of an hour, he can only buy FULL hours, so with his $50 , the maximum amount of time he can buy is 4 hours!
Let me know if you need any further explanations :)
Answer:
- f(x) = 2x -2/3
- f(3) = 5 1/3
Step-by-step explanation:
We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.
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<h3>a.</h3>
We are given the equation ...
6x -3y = 2
Solving for y, we get ...
6x -2 = 3y . . . . . add 3y-2 to both sides
2x -2/3 = y . . . . . divide by 3
f(x) = 2x -2/3 . . . . write using functional notation
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<h3>b.</h3>
To find f(3), we use x=3 in the function.
f(3) = 2(3) -2/3 = 6 -2/3
f(3) = 5 1/3