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Likurg_2 [28]
3 years ago
9

A student states that Figure JKLM is congruent to Figure PQRS. Determine if the student is correct or has made an error. ;D

Mathematics
1 answer:
lyudmila [28]3 years ago
4 0

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

<em>Hence explained !</em>

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Step-by-step explanation:

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3 years ago
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Marta_Voda [28]

Answer:

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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

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5 0
2 years ago
What is the answer to 2/5 - 1/4
lapo4ka [179]
<span><span>2/5</span>−<span>1/4
</span></span><span>=<span><span>2/5</span>−<span>1/4
</span></span></span><span>=<span><span>2/5</span>+<span><span>−1/</span>4
</span></span></span><span>=<span><span>8/20</span>+<span><span>−5/</span>20
</span></span></span><span>=<span><span>8+<span>−5/</span></span>20
</span></span><span><span>=<span>3/20</span></span><span>(Decimal: 0.15)</span></span>
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3 years ago
-12 times 1over3 help.
sergey [27]

Answer:

-4

Step-by-step explanation:

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