Answer:
The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean of 100 and standard deviation of 3.
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.
Population
Mean 100, standard deviation 21.
The sampling distribution of the sample mean for samples of size 49
By the Central Limit Theorem
Mean 100
Standard deviation

The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean of 100 and standard deviation of 3.
Answer:
She will find 1054 viruses.
Step-by-step explanation:
The number of viruses after t hours is given by the following equation:

In which N(0) is the initial number of viruses and r is the growth rate, as a decimal.
100 viruses that grow at a rate of 17% per hour.
This means that 
So



She will check on the viruses in 15 hours. How many viruses will she find?
This is N(15).

Rounding to the nearest whole number:
She will find 1054 viruses.
Point-slope form is (y - y1) = m(x - x1) so just plug in your given info:
y - 2 = 3(x - 5)
so your answer is D!!
Answer:
rate = natural log (Total / Principal) / Years
We need 5,000 to become 10,000 in 10 years so,
rate = natural log (Total / Principal) / Years
rate = natural log(10,000 / 5,000) / 10
rate = natural log(2) / 10
rate = 0.69314718056 / 10
rate = .069314718056 which equals
rate = 6.9314718056 per cent
Source: https://www.1728.org/rate2.htm
(scroll to the bottom)
Step-by-step explanation:
Answer:
7850 mi
Step-by-step explanation:
Area of a circle is:
A = (pi)r²
A = (3.14) (50²)
A = (3.14) (2500)
A = 7850 square miles