Answer:
B) 2.4 inches
Step-by-step explanation:
The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4
Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. 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, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Answer:

Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.

Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.

Multiply 8 by 2.

Multiply 16 by 4.

Hence, the volume of the rectangle prism is 64(in)³.
Answer:
y = - 3x + 7
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 ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m =
=
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
Circumference is a linear distance. So if the diameter is in feet, then the circumference is also in feet (not square feet or cubic feet)
-------------------------------------
Example:
Let's say we had a circle with diameter d = 10 feet
The circumference is approximately...
C = pi*d
C = 3.14*10
C = 31.4
The circumference is roughly 31.4 feet
The circumference is essentially the distance around the circle's edge. We can use a flexible ruler or a string to help measure out this distance, or you can imagine laying the circle's edge to be placed along a straight line, which is another way to help measure the perimeter.