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aleksley [76]
3 years ago
8

Need help breaking this down step by step Distribute and combine 1/2(n-8)+7-n

Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0

Answer:

3-\frac{1}{2}n

Step-by-step explanation:

We will use the distributive property shown below to break it down first.

Distributive Property:  a(b-c)=ab-ac

The expression is:

\frac{1}{2}(n-8)+7-n

Let's distribute:

\frac{1}{2}(n-8)+7-n\\=\frac{1}{2}(n)-\frac{1}{2}(8)+7-n

Now, we multiply:

\frac{1}{2}(n)-\frac{1}{2}(8)+7-n\\=\frac{1}{2}n-4+7-n

Now we combine like terms (variables and numbers separately):

\frac{1}{2}n-4+7-n\\=-4+7-n+\frac{1}{2}n\\=3-\frac{1}{2}n

This is the simplified expression.

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Help.. ill give brainliest..
frosja888 [35]

(-6)-(+2)= -8

(-9)-(-8)= -17

(-6)-(+6)= -12

(-8)-(-8)= -16

(+5)-(+1)= 4

(+6)-(-2)= 8

(-3)-(+5)= -8

(-8)-(+5)= -13

(-9)-(-4)= -13

(+1)-(+3)= -2

(-3)-(+8)= -11

(+9)-(-4)= 13

(+8)-(-7)= 15

(-6)-(+3)= -9

(-3)-(+4)= -7

(-4)-(+3)= -7

(-6)-(+1)= -7

(+8)-(-8)= 16

(+1)-(+4)= -3

(+7)-(+9)= -2

(+5)-(-5)= 10

(+6)-(-9)= 15

(+7)-(-5)= 12

(+2)-(+1)= 1

(-6)-(+3)= -9

(+2)-(+9)= -7

(+1)-(+1)= 0

(-2)-(+3)= -5

(+3)-(+4)= -1

(+8)-(-9)= 17

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2 years ago
Another name for take-home pay is
sasho [114]

Another name for take home pay is net pay

8 0
3 years ago
Solve 2m + 7 = 9
k0ka [10]

Answer:

m=1

Step-by-step explanation:

2m+7=9

subtract 7 on both sides

2m=2

divide 2 on both sides

m=1

hope it helped

8 0
2 years ago
Read 2 more answers
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A.  ​Yes, using the additional survey information from part​ (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which z is the z-score that has a p-value of \frac{1+\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

For this problem, we consider that we want it to be within 4%.

Item a:

  • The sample size is <u>n for which M = 0.04.</u>
  • There is no estimate, hence \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2

n = 600.25

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is \pi = 0.96, hence:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}

\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2

n = 92.2

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to \pi = 0.5, the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151  

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The answer is 16. because the 4 lines up with the 16
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