Answer:
a) 3x5³
b) 75
Step-by-step explanation:
a) find the Prime factors of 375 by dividing your number by prime numbers (you answers must be whole) use a factor tree to help you
a) do the same to 150
one you have you answers in this case we have
375- 3x5x5x5
150 - 2x3x5x5
you collect all the like terms, this will be 3x5x5 then you just simply multiply it And it gives you 75
A. Nancy has the greatest spread because her longest training time was 105 and her shortest being 82, making the spread 23, and Peter’s spread is only... Longest: 112 Shortest: 92 making it 20!
b. Nancy. Middle %50 would be Peter’s 110-92 making the spread 18, and Nancy’s spread is 93-90 making the spread making it 12
c. The spreads tell us they are very close to each other, and just Peter has more time but a less spread than Nancy.
Answer:
m is greater than or equal to -1, m is less than or equal to -10
Step-by-step explanation:
-1+-10
Answer:
V =36000 pi cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
We know the radius is 30
V = 4/3 pi (30)^3
V = 4/3 pi (27000)
V =36000 pi cm^3
Answer:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 will be normally distributed with mean = 0.38 and standard deviation of 0.034.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p, the sampling distribution will be normally distributed with mean
and standard deviation 
In this problem, we have that:

So

The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 will be normally distributed with mean = 0.38 and standard deviation of 0.034.