The value of the expression is -24
This is because you distribute the -4 to both of the values in the parenthesis like this:
-4(7) + -4(-1)
This can be simplified to:
-28 + 4
Which equals -24
Hope this helps!
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5
No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000
No of ways 14 people can be arranged in 14 seats = 14!
Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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1_1/3 = 4/3
-3_1/4 = -13/4
(4/3) - (-13/4)
(4/3) + (13/4)
We can see that (4/3) + (13/4) leads to a positive answer.
Answer: choice D
The question is incomplete. The complete question is :
Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
Answer:
67.5 
Step-by-step explanation:
Given that :
Cylinder A and cylinder B are similar.
Let volume of cylinder A = 20 
We know the volume of a cylinder is given by V = 
where, r is the radius of the cylinder
h is the height of the cylinder
We have to find the scale factor.
The length scale factor is = 

Area scale factor 

∴ Volume scale factor 

Therefore, the volume of cylinder B is 
= 67.5 