Answer:
good job
Step-by-step explanation:
The number less than -5 is A, -8
Answer:
4.32% of the bottles will have more than 12.86 ounces.
Step-by-step explanation:
This is a normal distribution problem with
Mean = μ = 6 ounces
Standard deviation = σ = 0.4 ounce
Let the z-score of 4.32% of the bottles be z' and the corresponding ounces be x'
The z-score for any is the value minus the mean then divided by the standard deviation.
z' = (x' - μ)/σ
P(x > x') = P(z > z') = 0.0432
Using the normal distribution table
P(z > z') = 1 - P(z ≤ z') = 0.0432
P(z ≤ z') = 1 - 0.0432 = 0.9568
z' = 1.715
1.715 = (x' - 6)/0.4
x' - 6 = 4(1.715)
x' = 6 + 6.86 = 12.86 ounces.
4.32% of the bottles will have more than 12.86 ounces.
Hope this Helps!!!
Based on the table, Josie is paid $43.75 for 5 hours work. For 1 week's work, the pay will be for 40 hours, 8 times that amount, or
.. Josie's weekly pay = 8*43.75 = 350.00
Based on the graph, Salvador gets paid $15.00 for 2 hours work. For 1 week's work, the pay will be for 40 hours, 20 times that amount, or
.. Salvador's weekly pay = 20*15.00 = 300.00
Josie earns 350 -300 = 50 more each week than Salvador. For Josie to earn 1000 more, we can solve the equation
.. 50*weeks = 1000
.. weeks = 1000/50 = 20
It will take Josie 20 weeks to earn $1000 more than Salvador does in the same period.
Answer:
124°
Step-by-step explanation:
We are to solve for the central angle.
In the question,
We are given
The length of the radius or radius = 6 inches
The length of the arc or the arc length (AB) = 13 inches
The formula for the Arc length of a circle = 2πr × (central angle in degree ÷ 360)
From the above formula, we can derive our formula for the measure of the central angle.
The formula for the measure of the central angle AOB =( Arc length × 360 ) ÷ 2πr
Angle AOB = (13 inches × 360) ÷ 2 × π × 6 inches
Angle AOB = 4680 ÷ 37.699111843
Angle AOB = 124.14083392°
Approximately Angle AOB to the nearest degree = 124°
Therefore, the measure of angle AOB to the nearest degree = 124°
