The correct answer is C. 20 characters
Answer:
B
Step-by-step explanation:
Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
Answer:
D) 1,036,800 boxes
Step-by-step explanation:
The volume of a box is ...
(20 in)(18 in)(15 in) = 5400 in^3
The volume of the storage space is ...
(300 ft)(240 ft)(45 ft) = 3,240,000 ft^3
Then the number of boxes that will fit in the storage space is ...
(3240000 ft^3)(1728 in^3/ft^3)/(5400 in^3/box) = 1,036,800 boxes
Answer:
6.7% of children who finished the race in under 45 seconds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 75 seconds
Standard Deviation, σ = 20 seconds
We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.
Formula:
P(finished the race in under 45 seconds.)
P(x < 45)
Calculation the value from standard normal z table, we have,

6.7% of children who finished the race in under 45 seconds.