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mylen [45]
2 years ago
8

working together, melissa and jing can mow a lawn in 5 hours. It would take melissa 8 hours to do the job alone. What is the val

ue of r, the part of the lawn that king could complete in 1 hour?

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0
Total Time = (M x K) / (M + K)
5 = (8 x K) / (8 + K)
40 + 5 K = 8K
40 = 3K
King can do the job in 13.33 Hours

King could mow (1 / 13.33) of the lawn in one hour.

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the total cost for a week at camp is $220. You have $140. You earn $16 for every item you sell in a fundraiser. How many items d
jeka94

5 times,

220 - 140 = 80

80 divided by 16 equals 5.

to double check, you can do 5 x 16 to get 80.

8 0
2 years ago
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The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
Zolol [24]

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch =\frac{9}{25} \times 100 = 36 \%

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

4 0
2 years ago
Automobile mechanics conduct diagnostic tests on 150 new cars of a particular make and model to determine the extent to which th
Aleks04 [339]

Answer:

99% Confidence interval: (0.185,0.375)                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28

99% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Putting the values, we get:

0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)

The​ 99% confidence interval for the true proportion of new cars with faulty catalytic converters is​ (0.185,0.375)

8 0
2 years ago
A railway system on a hillside moves passengers at a constant rate to an elevation of 50 m. The elevations of a train are given
Brut [27]
8-4x(3x^2+5)-2(x+7) is equivalent
4 0
2 years ago
Read 2 more answers
What is the value of (5x²)³ + 16y divided by 4y for x=2 and y=3
Inessa05 [86]

Answer:

30 2/3

Step-by-step explanation:

First multiply the two exponents

Second solve 2^6

Third multiply 64 times 5 = 320

Then multiply 16 times 3

Then add sums together 368

Lastly multiply 4 times 3 then divide 368 by 12

I hope this helps :)

6 0
2 years ago
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