Answer:
y = 3
Step-by-step explanation:
-7 = -4y + 5
Subtract 5 from both sides to isolate variable y:
-7 - 5 = -4y + 5 - 5
-12 = -4y + 0
-12 = -4y
Divide both sides by -4 to isolate variable y:
-12 ÷ -4 = -4y ÷ -4
(Negative ÷ Negative = Positive)
3 = 1y
3 = y
Check your work:
-7 = -4(3) + 5
Use PEMDAS:
-7 = -12 + 5
-7 = -7
Correct!
Answer:
4.
Step-by-step explanation:
2 to the second power = 2^2.
2^2 means 2*2 = 4.
The 2 in ^2 is called the 'exponent' .
Note 3^3 = 3*3*3
and 5^5 = 5*5*5*5*5.
Answer: they are 3 miles apart
Step-by-step explanation:
Answer:
1 hour
Step-by-step explanation:
25min=1 poster for the shop owner
25×4=100
100×8=800
800÷25=32 posters in 8hrs for the shop owner
1hr×8=8 posters for the apprentice
thus 40 in total
Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.575.
The estimate and the sample size are given by:
.
Then the bounds of the interval are:
The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).
More can be learned about the z-distribution at brainly.com/question/25890103
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