Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
Well, let's look at the answer choices.
A) If you want to fond the total cost of two sweaters you would add, not divide. So this isn't it.
B) To find out how much older someone is you would subtract. So this isn't it either.
C) To find out how many desks are needed you would multiply, since you know you need 3 rows of desks with 7 students each (3 x 7). Again, not it.
D) To find out how many pencils each student would get, you'd divide. You would divide 56 by 9. So your answer is D.
A) The mean would be 1.842 and the standard deviation would be 1.339.
b) It would not be unusually low.
Explanationa) This can be modeled as a binomial distribution, since there are two outcomes (7 or not 7), the events are independent (getting a 7 on one spin does not influence the chance of a 7 on the next spin) and there are a fixed number of trials (70). In a binomial distribution, the mean is given by n*p, where n is the number of trials and p is the probability.
μ=n*p=70*(1/38) = 1.842.
The standard deviation of a binomial distribution is given by
σ=√(n*p*(1-p))=√(70(1/38)(37/38)=1.339.
b) To determine if this is unusually low, we find the probability:

Since this is not below 0.05, we do not consider this unusual.
Answer:
A. 36°
Step-by-step explanation:
Same-length chords subtend same-measure arcs. Arc YZ has the same measure as its central angle (∠YOZ) and the same measure as arc XY (36°).