Answer:202.1
Step-by-step explanation:
Add all the days she worked up (7.5+9.75+6.25) =23.5
Now simply just multiply it with 8.60 and you get your answer
Hope this helps :)
Answer:


And using a calculator, excel ir the normal standard table we have that:

And we can calculate the probability like this:
Step-by-step explanation:
A random sample of 36 observations has been drawn from a normal distribution with mean 50 and standard deviation 12. Find the probability that the sample mean is in the interval 47<=X<53. Is the assumption of normality important. Why?
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where
and 
Since the distribution for X is normal then we know that the distribution for the sample mean
is given by:

We can find the probability required like this:


And using a calculator, excel ir the normal standard table we have that:

And we can calculate the probability like this:

the answer for this question is 64-144a+108a^2-27a^3
Answer:
4589.75J
Step-by-step explanation:
Kinetic energy = 1/2 x M x v^2
Given
Mass M = 55.0kg
V = 12.92m/s
Kinetic energy
= 1/2 x 55.0 x (12.92)^2
= 1/2 x 55.0 x (12.92 x 12.92)
= 1/2 x 55.0 x 166.9
Multiply through
= 9179.5/2
= 4589.75J
Answer:
- The amount of time greater than 10.2 hours for this year.
- The
is 0.01358.
Step-by-step explanation:
Given information:
mean, X = 10.2 hours
sample, n = 15
using t distribution
test statistics = 2.822
= 2 x P(
> test statistics)
= 2 x P(
> 2.822)
= 2 x 0.00679
= 0.01358
is less than 0.10 which indicates that the amount of time greater than 10.2 hours for this year.