The height of the ball when it is 5 meters away from Jake to the nearest whole number is 160 meters:
h=-.625*5(5-56)=159.375 meters exact.
Answer:
C. z=-2.00
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the ture mean is equal to 12 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
C. z=-2.00
Answer:
Inequality is
and value of x>10.
Step-by-step explanation:
Given : Adam is ordering pizza for a company party that he needs to have catered.
Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5.
To find : Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?
Solution : Let x be the number of pizza
Company A charges $8 for each pizza and a delivery/set-up fee of $45.
Total charge of Company A is 
Company B charges $12 for each pizza and a delivery/set-up fee of $5.
Total charge of Company B is 
The total charge for Company A is less than the total charge for Company B
i.e, Inequality form 




or x> 10
Therefore, Inequality is
and value of x>10.
Answer:
And we can find this probability with this difference:
Step-by-step explanation:
Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And we can use the z score formula given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
Answer:
A) f(x) = (x − 2)^2(x + 1)(x − 3)
Step-by-step explanation:
The graph shows the zeros to be -1, +2 (multiplicity 2), and +3.
When b is a zero, (x-b) is a factor. Then the factors of the function shown are ...
f(x) = (x -(-1))·(x -2)·(x -2)·(x -3)
f(x) = (x -2)^2(x +1)(x -3)