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barxatty [35]
3 years ago
12

The distribution of a sample of the outside diameters of PVC pipes approximates a symmetrical, bell-shaped distribution. The ari

thmetic mean is 14.0 inches, and the standard deviation is 0.1 inches. About 68% of the outside diameters lie between what two amounts?a. 13.5 and 14.5 inchesb. 13.0 and 15.0 inchesc. 13.9 and 14.1 inchesd. 13.8 and 14.2 inches
Mathematics
1 answer:
Talja [164]3 years ago
3 0

Answer:

c. 13.9 and 14.1

Step-by-step explanation:

We know that the distribution of the sample of outside diameters of PVC pipes is normal so, the empirical rule can be applied to this data. We have to find 68% percent of the data falls in what data values. These data values can be found through empirical rule as empirical rule states that 68% or 0.68 of the data occurs inside one standard deviation.

The mean μ is 14 inches and standard deviation σ is 0.1 inches.

μ-σ=14-0.1=13.9 and μ+σ=14+0.1=14.1.

Thus, 68% of outside diameter falls between 13.9 and 14.1 inches.

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A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea
Andrej [43]
Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
Perimeter = 39 in

I hope that helps!
7 0
3 years ago
Which one is higher 45 fahrenheit or 30 celsius?
Alekssandra [29.7K]
30°C = 86°F
30°C is higher :)
8 0
4 years ago
Y is between points J and A. JA=17 and YA=3. What is JY?
Gennadij [26K]
JY would be 14 because of simple subtraction
3 0
4 years ago
Read 2 more answers
...Help Please.......
Tamiku [17]

Answer:

  3

Step-by-step explanation:

The function is undefined when its denominator is zero. The value of x that makes the function undefined is the solution to

  10x -30 = 0

  x - 3 = 0 . . . . . divide by 10

  x = 3 . . . . . . . . add 3

The value of x that is not in the domain of the function is x=3. The function is not defined for that value of x.

7 0
4 years ago
Which is bigger:30% or 1/3?
dimaraw [331]


1/3 is 33.3333%, so 1/3 is bigger


5 0
3 years ago
Read 2 more answers
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