Answer:
The base of the window is 7.5 feet long.
Step-by-step explanation:
The area of a parallelogram can be found with the formula A = bh
Plug in the known values to get 30 = 4b
30 = 4b
30/4 = b
7.5 = b
Givens
Let the number of students in the class be x
Let the number of pieces of gum she gave out be 3x
Equation
3x + 8 = 168 This will not work out evenly. Let's try x - 1. The reason for that is because she may not give out anything to herself.
3(x - 1) + 8 = 168 This doesn't work either.
Well we have to choose. It's a rounding problem.
3x + 8 = 168 Subtract 8 from both sides.
3x = 168 - 8 Combine
3x = 160 Divide by 3 on both sides.
x = 160 / 3
x = 53.333333333
Since that can't be, we could say there were 53 students.
3x
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Answer:
0.042
Step-by-step explanation:
Given :
p = 16% = 0.16
q = 1 - p = 1 - 0.16 = 0.84
Sample size, n = 75
The standard deviation of sampling distribution :
√(pq)/n
√(0.16 * 0.84) / 75
√0.1344 / 75
√0.001792
Standard deviation of sampling distribution = 0.0423320
Answer: The price for the gloves were $5 each and the price of the hats were $7 each.
Step-by-step explanation:
2g + 4h = 38 solve by elimination
3g + 5h = 50
-3(2g + 4h) = 38(-3) -6g -12h= -114
2 (3g + 5h)= 50(2) 6g + 10h =100
0 + -2h= -14
h= 7
-6g -12(7)=-114
-6g -84 = -114
+ 84 +84
-6g =-30
g= 5
