Answer:
39.16% probability of selecting three Democrats and three Republicans
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
3 Democrats, from a set of 8.
3 Republicans, from a set of 8.
Total outcomes:
6 people from a set of 16.
Probability:
39.16% probability of selecting three Democrats and three Republicans
There are 5280 feet in a mile
Hope this helps!
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Answer:
A. 3/2
Step-by-step explanation:
When two exponents have the same base, you can cancel the bases and set the exponents equal to each other
3x-2=x+1
3x=x+3
2x=3
x=3/2
Refer to the diagram shown below.
The dimensions of the outside of the picture rame are:
Width = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.
The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28
Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches
Answer: 4 inches
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Answer:
84 cm³
Step-by-step explanation:
There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.
The formula for the volume of a rectangular prism is ...
V = LWH . . . . . product of Length, Width, and Height
Put the numbers in place of the corresponding variables and do the arithmetic.
V = (3 cm)(4 cm)(7 cm) = 84 cm³
The volume of this rectangular prism is 84 cubic centimeters.
