Answer:
πx² -6πx + 9π
or
π(x² - 6x + 9)
Step-by-step explanation:
area = πr² = π(x-3)² = π(x² - 6x + 9) = πx² - 6πx + 9π
Answer:
Feet to Miles
Step-by-step explanation:
-2x - 4 = 12
add 4 to both sides of the equation
-2x = 16
divide -2 from both sides of the equation
x = -8
the new fraction: 8/3 or 2 2/3
Answer:
The correct option is 4.
Step-by-step explanation:
It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.
Let the total number employees be e.
Three fourth of the total employees is , the total number of employees at the meeting were less than 24.
Multiply 4 both sides.
Divide both sides by 3.
Therefore the value of e is less than 32.
In a number line as we approach towards left the the value of integers decreases.
Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.
Since 32 is not included in the solution set, therefore there is an open circle on 32.
Option 4 is correct.
Answer:
Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance
null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Step-by-step explanation:
<em>Step(I)</em>:-
Given surveyed two random samples of 390 men and 360 women who were tested
first sample proportion
second sample proportion
Step(ii):-
Null hypothesis : H₀ : There is no difference proportion of positive tests among men is different from the proportion of positive tests among women
Alternative Hypothesis:-
There is difference between proportion of positive tests among men is different from the proportion of positive tests among women
where
P = 0.920
Test statistic Z = 0.13008
Level of significance = 0.10
The critical value Z₀.₁₀ = 1.645
Test statistic Z=0.13008 < 1.645 at 0.1 level of significance
Null hypothesis is accepted
There is no difference proportion of positive tests among men is different from the proportion of positive tests among women