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OLEGan [10]
3 years ago
14

Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain

your answer |y−43|−|y−35| =0
Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

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Answer:

we reject  H₀

Step-by-step explanation:  Se annex

The test is one tail-test (greater than)

Using   α = 0,05   (critical value )  from z- table we get

z(c) = 1,64

And Test hypothesis is:

H₀         Null hypothesis           μ   =  μ₀

Hₐ       Alternate hypothesis   μ   >  μ₀

Which we need to compare with z(s) = 2,19  (from problem statement)

The annex shows z(c), z(s), rejection and acceptance regions, and as we can see z(s) > z(c) and it is in the rejection region

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3 0
3 years ago
60.3 60.44 witch one is greater
Sindrei [870]
60.44 is greater than 60.3
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4 0
3 years ago
Ryan wants to buy a new guitar that costs $325.00. He already has $75 in his account and makes $20 per day. How many days will h
san4es73 [151]
Answer:I pretty sure it will be 12.5
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5 0
2 years ago
the perimeter of a rectangle swimming pool is 486 feet. The width of the pool is 35 feet less than the length. Find the length a
statuscvo [17]

Answer:

Length: 139 feet

Width: 104 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle can be given by P = 2l + 2w. We are given the perimeter of the pool along with the width.

P = 486

w = l - 35

From here, all we have to do is plug back into the original formula:

486 = 2l + 2(l - 35)

Which can be further simplified as:

486 = 2l + 2l - 70

486 = 4l - 70

From here, all we have to do is add 70 to both sides of the equation and divide by four:

556 = 4l

139 = l

To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:

P = 2l + 2w

P = 2(139) + 2(104)

P = 278 + 208

P = 486

And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.

5 0
3 years ago
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