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Firlakuza [10]
3 years ago
7

the temperature fell 16 degrees fahrenheit from 50 to 34 degrees in 10 hours. How much would the temperature fall over 15 hours

if the pattern continued?
Mathematics
1 answer:
algol133 years ago
3 0

Answer:

x = 24\ degrees

Step-by-step explanation:

Given

16 degrees = 10 hours

Required

Determine the change over 16 hours

Let the change be represented with x,

So, we have:

16 degrees = 10 hours

x = 15 hours

Cross Multiply:

x * 10\ hours = 16\ degrees * 15\ hours

x * 10 = 16\ degrees * 15

Divide through by 10

x = \frac{16\ degrees * 15}{10}

x = 16\ degrees * 1.5

x = 24\ degrees

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You are given Maggie's planning on going to Penn State University. You are also given that she could live there if she has more than $2,000 if she already bought a laptop at $450.

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30x ≥ 2,000 
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For part D, the answer 66.67 means that Maggie can have 66 times to withdraw $30 per week worth of food from her balance $2000.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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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  

  • 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.

5 0
3 years ago
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