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Olegator [25]
3 years ago
14

at a soccer camp there is a boy to girl ratio of 9 to 7. if there's 63 girls how many boys were there?​

Mathematics
1 answer:
user100 [1]3 years ago
8 0

Answer:

81 boys

Step-by-step explanation:

There are two ways to figure this out. Both ways are correct.

1. Fractions

9/7=x/63

from here you cross multiply

7x=9×63

7x=567

now to get x by itself you divide by 7

x=567÷7

x=81

2. If you have 63 girls and 7 girls to each group. You can divide 63 by 7 and find out how many groups you have which is 9. 9 groups, 7 girls each. For every 7 girls there are 9 boys. 9×9 ( 9 groups, 9 boys each)

9×9=81

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3 years ago
motorcycle cover 210 kilometre distance with 5 l of petrol how many kilometre does it cover with 8 litre of petrol? how much pet
Likurg_2 [28]

Answer:

A: 336 km

B: 14 L

Step-by-step explanation:

Use a proportion

210 km / 5 L = x / 8L         Cross multiply

8*210  = 5 x

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x = 1680 / 5

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210 /5 = 588/x                   Cross multiply

210x = 588 * 5

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3 years ago
Newborn babies: A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights
Fed [463]

Answer:

a) 615

b) 715

c) 344

Step-by-step explanation:

According to the Question,

  • Given that,  A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 732 babies born in New York. The mean weight was 3311 grams with a standard deviation of 860 grams

  • Since the distribution is approximately bell-shaped, we can use the normal distribution and calculate the Z scores for each scenario.

Z = (x - mean)/standard deviation

Now,

For x = 4171,  Z = (4171 - 3311)/860 = 1  

  • P(Z < 1) using Z table for areas for the standard normal distribution, you will get 0.8413.

Next, multiply that by the sample size of 732.

  • Therefore 732(0.8413) = 615.8316, so approximately 615 will weigh less than 4171  

 

  • For part b, use the same method except x is now 1591.    

Z = (1581 - 3311)/860 = -2    

  • P(Z > -2) , using the Z table is 1 - 0.0228 = 0.9772 . Now 732(0.9772) = 715.3104, so approximately 715 will weigh more than 1591.

 

  • For part c, we now need to get two Z scores, one for 3311 and another for 5031.

Z1 = (3311 - 3311)/860 = 0

Z2 = (5031 - 3311)/860= 2  

P(0 ≤ Z ≤ 2) = 0.9772 - 0.5000 = 0.4772

  approximately 47% fall between 0 and 1 standard deviation, so take 0.47 times 732 ⇒ 732×0.47 = 344.

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3 years ago
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ivann1987 [24]

Answer:

A and D

Step-by-step explanation:

Ok so first, if you slice parallel to the base, you can get a square.

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