Answer:
x=16
y= 100
Step-by-step explanation:
<1 and <3 are vertical angles so they are equal
5x = 80
Divide each side by 5
5x/5 = 80/5
x = 16
Angles 2 and 3 are supplementary since they form a straight line, they will add to 180
<2 + <3= 180
y+80 = 180
Subtract 80 from each side
y+80-80 = 180-80
y= 100
Answer:
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
Step-by-step explanation:
Data given
n=6997 represent the random sample taken
X=1296 represent the returned surveys
estimated proportion of returned surveys
is the value that we want to test
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to test the claim that the true proportion of returned surveys is less than 0.2.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Since we have all the info required we can replace in formula (1) like this:
Statistical decision
The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
Since the p value is very low we have enough evidence to reject the null hypothesis at the significance lvel given of 0.01 so then we can conclude that the return rate ofr this case is significantly lower than 20%
Answer:
A. Positive
Step-by-step explanation:
They ask us about the relationship between reading and grades.
First you have to go to the first part of the statement that says:
"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"
In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.
Performance is your grades, and home study can be reading, so the score is positive in the second half, too.
Answer:
8 cm
Step-by-step explanation:
The area of the shaded portion is:

A=39π cm^2
r1 is the radius of the large circle
r2=5 cm
So,

Answer:
Yes!
Step-by-step explanation:
26/3 is a seventh of 182/21
Divide 182 and 21 both by 7, and you get 26/3. So, yes, it is equivalent.