Step-by-step explanation:
output is 3 times of input so it's like this x ➡ 3x
She ate 3 cookies, then gave away half. Because parentheses means that process happens first, and c represents the number of cookies, the equation would be as follows:
(c-3)÷2, or A
Answer:
D. f(x) = x - 4
Step-by-step explanation:
If you plug in the x values for the expression x - 4:
3 - 4 = -1
4 - 4 = 0
5 - 4 = 1
6 - 4 = 2
This means that the function rule is f(x) = x - 4
Hope this helps :)
Answer:
7.900 cm
Step-by-step explanation:
The computation of the diameter after using the tape is given below:
Since the circumference is 14.8 cm
And it would be decrease by 2.4 cm
So, the new circumference is
= 14.8 - 2.4
= 12.4 cm
Now the radius is
= 12.4 ÷ π
= 3.95
And, the diameter is
= 3.95 × 2
= 7.900 cm
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%