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ludmilkaskok [199]
3 years ago
7

To complete a task In 16 days a company needs 5 people 6 hours a day. How long will it take 8 people 4 hours a day, assuming the

y work at the same rate
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

8 people working 4 hours a day will take 15 days to complete the work.

S<u>tep-by-step explanation:</u>

The problem can be  solved using chain rule

no of people      no of hours    no of days

       5                          6                    16

       8                           4                     ?

number of days decreases when the number of people increases from 5 to 8. The decrease of number of hours from 6 to 4 increases the number of days taken for the work to get completed.

no\ of\ days\ taken\ when\ 8\ people\ work\ 4\ hours\ a\ day=16\times 6/4\times5/8\\=480/32=15

8 people working 4 hours a day will take 15  days to complete the work.

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One researcher wishes to estimate the mean number of hours that high school students spend watching tv on a weekday. a margin of
PtichkaEL [24]
Margin of error, e = Z*SD/Sqrt (N), where N = Sample population

Assuming a 95% confidence interval and substituting all the values;
At 95% confidence, Z = 1.96

Therefore,
0.23 = 1.96*1.9/Sqrt (N)

Sqrt (N) = 1.96*1.9/0.23

N = (1.96*1.9/0.23)^2 = 262.16 ≈ 263

Minimum sample size required is 263 students.

3 0
3 years ago
Read 2 more answers
Order of Operations- -6+(-30) divided by 5-(-2). Explain step by step
Reil [10]

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

\frac{-6+-30}{5--2}=\frac{-36}{7}(because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

7 0
4 years ago
Consider the following linear equation.y = -1-Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair)
Dmitriy789 [7]

Recall that a slope-intercept form of a linear equation is

\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}

Rearrange the given so that it follows that slope intercept form

\begin{gathered} y=-1-\frac{2}{5}x\Longrightarrow y=-\frac{2}{5}x-1 \\  \\ \text{Now that it is in the slope intercept form} \\ y=-\frac{2}{5}x-1 \\ \text{we can determine that the slope is } \\ m=-\frac{2}{5} \\ \text{and the y-intercept is} \\ b=-1 \end{gathered}

The y-intercept is the value for which the linear function crosses the y-axis, this is when the value of x is equal to zero. The ordered pair therefore of the y-intercept is (0,-1).

8 0
2 years ago
On the playground the teacher observed bicycles and tricycles. she counted 72 wheels and 28 total cycles. How many of them were
Andreyy89

Answer:

  16 tricycles

  12 bicycles

Step-by-step explanation:

If all were bicycles, there would be 28·2 = 56 wheels. Each additional wheel indicates the presence of a tricycle instead of a bicycle.

There are 72 -56 = 16 tricycles. The remaining 28-16 = 12 are bicycles.

3 0
4 years ago
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn
Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that p = 0.07

A day care program has capacity for 8 children in that age range.

This means that n = 8

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0
3 years ago
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