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andrew-mc [135]
3 years ago
6

Nine fewer than half a number is five more than four times the number. Define a variable, write an equation, and solve to find t

he number.
Mathematics
1 answer:
nignag [31]3 years ago
3 0
N = the number

0.5n - 9 = 4n + 5
(0.5n - 0.5n) - 9 = (4n - 0.5n) + 5
-9 = 3.5n + 5
(-9 - 5) = 3.5n + (5 - 5)
-14 = 3.5n
-14/3.5 = 3.5n/3.5
-4 = n

The number is -4.
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William works at a nearby electronics store. He makes a commission of 6% percent on everything he sells. If he sells a computer
Naddika [18.5K]

Commission earned by William is $ 45.84

<h3><u>Solution:</u></h3>

Given that,

William makes a commission of 6% percent on everything he sells

He sells a computer for $764.00

<em><u>To find: Commission amount of William</u></em>

Given that he makes a commission of 6 % on everything he sells. So he has received a commission of 6 % of $ 764.00

Commission amount of William = 6 % of $ 764.00

a % of b can be written in fraction as \frac{a}{100} \times b

6 \% \text { of } 764=\frac{6}{100} \times 764=0.06 \times 764=45.84

Thus commission earned by William is $ 45.84

8 0
3 years ago
I need help with question 10 (math work is about adding fractions with putting them in simplest form)
goldenfox [79]

Answer: The answer is equivalent fractions.

Step-by-step explanation:

I hope this helped you! :D

8 0
3 years ago
A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
Please help me with this question
WITCHER [35]

Answer:

you can't cheat in an online school math test =_=

Step-by-step explanation:

4 0
3 years ago
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I need to solve this equation for my homework, I'm not good with frations and work would be useful 1/4(x-8)=3/4x
Ahat [919]
No problem sir or maam.x=-4
7 0
3 years ago
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