Answer:
x = 1, y = 10
Step-by-step explanation:
y = -5x + 15 --- Equation 1
2x + y = 12 --- Equation 2
Substitute y = -5x + 15 into Equation 2:
2x + y = 12
2x - 5x + 15 = 12
Evaluate like terms.
15 - 3x = 12
Isolate -3x.
-3x = 12 - 15
Evaluate like terms.
-3x = -3
Find x.
x = -3 ÷ -3
x = 1
Substitute x = 1 into Equation 2:
2x + y = 12
2(1) + y = 12
2 + y = 12
Isolate y.
y = 12 - 2
y = 10
The fraction would be 17/100
The volume of the ball is 33.5 cubic centimeter.
<u>Step-by-step explanation:</u>
It is given that, a ball has a radius of 8 cm.
We know that, the ball is in shape of the sphere.
The question is asked to find the volume of the ball.
To find the volume of the ball, you need to use the formula for volume of the sphere.
Volume of the sphere = (4/3)πr³
where,
- π has the default value of 3.14
- r is the radius of the ball.
Volume of the ball = (4/3)× 3.14× 8
⇒ 33.49
⇒ 33.5 (rounded to the nearest tenth)
⇒ 33.5 cubic centimeter.
∴ The volume of the ball is 33.5 cubic centimeter.
Answer:
n≅376
So sample size is 376.
Step-by-step explanation:
The formula we are going to use is:
where:
n is the sample size
p is the probability of favor
q is the probability of not in favor
E is the Margin of error
z is the distribution
α=1-0.98=0.02
α/2=0.01
From cumulative standard Normal Distribution
p is taken 0.5 for least biased estimate, q=1-p=0.5
n≅376
So sample size is 376
