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⭐Here is Your Answer...!!!
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↪SURFACE AREAS AND VOLUMES
↪The VOLUME of any object is nothing but the the capacity to hold the amount of substance inside it . It defines the Amount of substance that can occupied bythe object inside it ..
↪Volume = Base Area × Height
↪thus for the Cylinder ; Volume of cylinder = Pi(R^2) × H
↪thus volume = 3.14 × R^2 × H
↪thus here given as R = 4 cm and H = 12cm
↪Volume = 3.14 × 16 × 12= 602.88 cm^3
thus
↪the Volume of the Cylinder = 602.88 cm^3
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Answer: 0.418 < p < 0.512
Step-by-step explanation: A 95% conifdence interval for a population proportion is given by:
where:
p is the proportion
z is score in z-table
n is sample size
The proportion for people who said "yes" is
= 0.465
For a 95% confidence interval, z = 1.96.
Calculating
0.465 ± 1.96*0.024
0.465 ± 0.047
Interval is between:
0.465 - 0.047 = 0.418
0.465 + 0.047 = 0.512
<u>The interval with 95% of confidence is between 0.418 and 0.512.</u>
Answer:the answer is -6.2
Step-by-step explanation:
Write 2 equations:
a +b = 39
and b = 1/2a + 6
Now replace b in the first equation with the second one:
a + 1/2a + 6 = 39
Combine like terms:
1 1/2a + 6 = 39
Subtract 6 from each side:
1 1/2a = 33
Divide both sides by 1 1/2:
a = 33 / 1 1/2 = 33 / 1.5
a = 22
Now replace a with 22 in the first equation and solve for b:
22 + b = 39
b = 39 -22
b = 17
The two numbers are 17 and 22.
Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
