Answer:
Perimeter = 70ft
Step-by-step explanation:
Area of a rectangle is:
area = (length * width)
150 = a * b
a = 6b
a = length
b = width
then:
150 = 6b*b
150 = 6b²
b² = 150/6
b² = 25
√b² = √25
b = 5ft
a = 6b
a = 6*5
a = 30ft
then:
perimeter of a rectangle is:
p = 2(a+b)
p = 2(30 + 5)
p = 2*35
p = 70ft
Answer:
+2
Step-by-step explanation:
+ and - cancel. We have 5 + and 3 - so that leaves us with 2 + so the answer is +2.
19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.
20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.
25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
Answer:
The minimum sample size is 
Step-by-step explanation:
From the question we are told that
The confidence interval is 
The margin of error is 
Generally the sample proportion can be mathematically evaluated as
Given that the confidence level is 98% then the level of significance can be mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table
The value is
Generally the minimum sample size is evaluated as
![n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20%5Cr%20p%20%281-%20%5Cr%20p%20%29)
![n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%202.33%7D%7B0.1%7D%20%5D%5E2%20%2A%20%200.475%281-%200.475%20%29)
Answer:
Step-by-step explanation:
The line passes through points 
Let 
Equation of a line passing through points 
is given by 
So,
Put 
