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Maksim231197 [3]
3 years ago
12

HELP ME PLEASE.......

Mathematics
1 answer:
lesantik [10]3 years ago
8 0
First and the fourth
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Batman can clean up all of the crime in Gotham City in 8 hours working alone. Robin can do the same job alone in 12 hours. If Ro
scoray [572]
<h2>The crime gets cleaned up at 2:00 PM</h2>

Step-by-step explanation:

Let the work be w.

Batman can clean up all of the crime in Gotham City in 8 hours working alone.

\texttt{Rate of batman,}r_b=\frac{W}{8}

Robin can do the same job alone in 12 hours.

\texttt{Rate of Robin,}r_r=\frac{W}{12}

Robin starts work at 8:00 AM and Batman Joins at 10:00 AM.

Let the time of completion of work after Batman's joining be t.

We have time of working of Robin = t + 10:00 -8:00 = t + 2

So

                             t\times \frac{W}{8}+(t+2)\times \frac{W}{12}=W\\\\12t+8t+16=96\\\\20t=80\\\\t=4hours

After 4 hours of 10:00 Am work gets completed.

Time = 10:00 AM +  4 hours =  2:00 PM

The crime gets cleaned up at 2:00 PM

4 0
3 years ago
A soft drink machine outputs a mean of 27 ounces per cup. The machine's output is normally distributed with a standard deviation
postnew [5]

Answer: P(22 ≤ x ≤ 29) = 0.703

Step-by-step explanation:

Since the machine's output is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = output of the machine in ounces per cup.

µ = mean output

σ = standard deviation

From the information given,

µ = 27

σ = 3

The probability of filling a cup between 22 and 29 ounces is expressed as

P(22 ≤ x ≤ 29)

For x = 22,

z = (22 - 27)/3 = - 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.047

For x = 29,

z = (29 - 27)/3 = 0.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.75

Therefore,

P(22 ≤ x ≤ 29) = 0.75 - 0.047 = 0.703

6 0
3 years ago
Which points on the wave are the trough and the crest?
Vlad1618 [11]

Answer:

ok

trough is the y

Crest is W

I put a picture for help

6 0
3 years ago
Is it legal to keep monkeys in a refrigerator in the United States?
Mice21 [21]

Answer: No unless the fbi cathches up to you mr.gieco

Step-by-step explanation:

5 0
3 years ago
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Solve this system of equations by converting the equations into slope-intercept form. How many solutions does this system have?
Alex777 [14]
<h3>Answer: -3x-3y=-30= x=−y+10  </h3><h3>x+y+10= x=−y+10</h3>

8 0
3 years ago
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