Answer:

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

And replacing we got:


We can find the probability of interest using the normal standard table and with the following difference:

Step-by-step explanation:
Let X the random variable who represent the expense and we assume the following parameters:

And for this case we want to find the percent of his expense between 38.6 and 57.8 so we want this probability:

And we can assume a normal distribution and then we can solve the problem with the z score formula given by:

And replacing we got:


We can find the probability of interest using the normal standard table and with the following difference:

1/4 (8 + 6z + 12)
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Combine like terms :
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1/4 (6z + 20)
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Apply distributive property :
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1/4(6z) + 1/4(20)
3/2z + 5
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Answer: 3/2z + 5
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Answer:
x = 6
Step-by-step explanation:
The way to solve this is by subtracting 2x from both sides. Now we have
2x-5=7
Then we add 5 from both sides. Now we have
2x=12
We do this because we want X by itself
Then we divide by 2 on both sides and now we have
x = 6
If you have any questions feel free to ask in the comments.
Answer:
13
Step-by-step explanation:
(6-4=2)
8+2 +3
8+2=10
10+3=13
=13
Answer:
Option (D)
Step-by-step explanation:
Pythagoras theorem states,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(13)² = (5)² + (12)²
By the converse of Pythagoras theorem,
If we draw two sides 5cm and 12cm of a triangles with a right angle between them, third side 13 cm will fit to form a right triangle.
Therefore, Option (D) will be the answer.