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Vilka [71]
3 years ago
13

(4.8 x 105 km) x (2.0 x 103 km)

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

103,824 km^2

Step-by-step explanation:

1. Multiply what's in the parentheses first.

(4.8×105 km)=504 km

(2.0×103 km)=206 km

2. Multiply the two products together.

504 km×206 km=103,824 km^2

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Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

\frac{a}{c} = \frac{a}{b} × \frac{b}{d} × \frac{d}{c} = \frac{1}{2} × \frac{4}{5} × \frac{3}{1} = \frac{12}{10} = \frac{6}{5}

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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  

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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.

 

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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.

5 0
2 years ago
the water level in a lake was monitored and was noted to have changed −2 1/3 inches in one year. The next year it was noted to h
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