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JulijaS [17]
3 years ago
13

What is

4}{6} = \frac{b}{2}" alt="\frac{b-4}{6} = \frac{b}{2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Answer:

b = -2

Step-by-step explanation:

1) Cross multiply the proportion, in turn, you receive 2(b-4) = 6b.

2) Simply said equation, you should have 2b - 8 = 6b.

3) Subtract the 2b from each side, effectively canceling it out on the left (original position) and resulting in 6b to become 4b (6b - 2b = 4b).

4) After you have -8 = 4b, you can divide both sides by 4, canceling out on the right (original position).

5) You are finally left with -2 = b, reversing this results in b = -2.

-2 is your answer.

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Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with
FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

a)

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

b)

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead.  Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

3 0
3 years ago
How to draw a obuse angle
Phoenix [80]
Has to be greater than 90 degrees.

5 0
3 years ago
A bike rental service charges a $23.50 initial flat rate and then an additional $5.40 per hour. Write an equation in the slope-i
dezoksy [38]

Answer:

y = 5.4x + 23.5

Step-by-step explanation:

Since the service charges $23.50 for every hour, you have to multiply x by 23.5 like this: 23.5

There is a flat fee of $23.50, so you have to add 23.5 on top of that like this: 5.4x + 23.5

All of this has to add up to y; 5.4x + 23.5 = y

5 0
2 years ago
A balloon rose 32 feet in the air. Then it fell to the ground.​
Maslowich

Answer:

A balloon rose 32 feet in the air then it fell down to the ground

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Divide a^24-a^18+a^12 by a^6<br> what is the quotation?
lana66690 [7]

I think you mean "what is the QUOTIENT?"

\dfrac{a^{24} - a^{18} + a^{12}}{a^6} =

= \dfrac{a^{24}}{a^6} - \dfrac{a^{18}}{a^6} + \dfrac{a^{12}}{a^6}

= a^{24 - 6} - a^{18 - 6} + a^{12 - 6}

= a^{18} - a^{12} + a^{6}

5 0
4 years ago
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