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3 years ago

If 15 workers did a job is 8 hours, how long would it take 5 workers to do half of this job?

2 answers:

8 0

Since 15 workers did 8 hours of work, the total amount of work needed is 120 hours. Half of this job would be 60 hours. Then divide this amount by the 5 workers doing the job. This would make the job 12 hours

yarga [219]3 years ago

5 0

J=15w*8h=120(worker*hours)

5h=120/2

5h=60

h=12 hours

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What is: <br> 8x - 2(4 + 3x)

Angelina_Jolie [31]

$8x-2(4+3x) =0\\ 8x-8-6x=0 \\ 2x-8=0 \\ 2x=8 \\ x=4$

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3 years ago

Read 2 more answers

vladimir1956 [14]

Answer:

Inequality: 0.08x + 2300 ≥ 2800

Liz needs to sell products of $6250 at least.

Step-by-step explanation:

Given that:

Per month salary of Liz = $2300

Commission = 8% = $\frac{8}{100}}$ = 0.08

Amount Liz wants to earn = $2800

Let,

x be the amount of sales.

0.08x + 2300 ≥ 2800

0.08x ≥ 2800 - 2300

0.08x ≥ 500

Dividing both sides by 0.08

$\frac{0.08x}{0.08}\geq \frac{500}{0.08}\\x\geq 6250$

Hence,

Liz needs to sell products of $6250 at least.

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3 years ago

Suppose in the University of Manitoba, 40% of the students live in apartments. If 600 students are randomly selected, then the a

just olya [345]

Answer:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

Step-by-step explanation:

The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and $X \sim Bin(n=600, p =0.4)$

And we want this probability:

$P(200 \leq X \leq 400) [tex]In order to find this probability we can use the foloowing excel code:"=BINOM.DIST(400,600,0.4,TRUE)-BINOM.DIST(199,600,0.4,TRUE)"And we got:[tex] P(200 \leq X \leq 400) =0.999675[tex]But for this case the problem says that we need to approximate, so then we can use the normal approximation to the normal distribution. We need to check the conditions in order to use the normal approximation.
[tex]np=600*0.4=240\geq 10$

$n(1-p)=600*(1-0.4)=360 \geq 10$

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

$E(X)=np=600*0.4=240$

$\sigma=\sqrt{np(1-p)}=\sqrt{600*0.4(1-0.4)}=12$

And then $X \sim N (\mu = 240, \sigma= 12)$

And we are interested on the following probability:

$P(200\leq X\leq 400)=P(\frac{200-240}{12}\leq \frac{X-\mu}{\sigma}\leq \frac{400-240}{12})=P(-3.33\leq Z \leq 13.33)$

$=P(Z$

So then the correct answer would be:

B) .9996

6 0

3 years ago

Find the measure of x<br> please no bots:(it’s easy

IceJOKER [234]

Answer:

Step-by-step explanation:

There are 6 equal angles that add up to 360 in that diagram. That means that if you divide 360 by 6, then you get 60.

Hope that this helps!

Edit: Thanks for the Brainliest!

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3 years ago

Round 299.2131 to the nearest thousands

Digiron [165]

Answer:

Step-by-step explanation:

First find the place that is the thousandth place. That would be the 3 then you will look beside the 3 to see if their is a number bigger than five. If there is then you would add whatever number to make the number 10. In this case their is not so you would instead look at the three and replace all the numbers to the right of three ( don’t change three though) and make them zeros. So that will leave you with 299.2130 rounded to the nearest thousandth.

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3 years ago