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Stels [109]
3 years ago
9

Bubba can mow a field in 8 hours. If Skeeter helps, they both can do it together in 3 hours. How long would it take Skeeter to m

ow the field by himself?
Mathematics
1 answer:
ra1l [238]3 years ago
5 0

When they work together, they do  1/3 of the job in one hour.

                   (Bubba) + (Skeeter) = 1/3 job/hour    

Subtract 'Bubba'
from each side:            Skeeter  =  (1/3 job/hour) - (Bubba)

Bubba, working alone, does  1/8 of the job in one hour.

                                      Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

Can you subtract 1/8 from 1/3 ?

Before you can subtract, you'll need a common denominator.
I've got a nice one here . . .  24 .

                   1/3  =  8/24
                   1/8  =  3/24                                                         

                   Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

                                  =  (8/24 job/hour) - (3/24 job/hour)

                                  =        5/24 job/hour .

Skeeter mows at the rate of  5/24 field/hour.

The other way to look at that is:     24/5 hour/field  =  4.8 hours .

Check:

         Bubba:     1/8     field per hour  =  0.125
         Skeeter:  1/4.8  field per hour  =  0.208333...     

         Together:                        (0.125 + 0.208333)

                                             =  0.333... field per hour

                                             =    3 hours/field .                  yay!
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Answer:

  3362 ft²

Step-by-step explanation:

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  A = LW

  A = (82 ft)(41 ft) = 3362 ft²

7 0
3 years ago
What is the answer the the equation 3(n-4)= -9
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Answer:

i believe the answer is N=1

4 0
3 years ago
Distinguish between rote and rational counting​
sergejj [24]

Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.

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3 years ago
A bank is investigating ways to entice customers to charge more on their credit cards. (Banks earn a fee from the merchant on ea
MAVERICK [17]

Answer:

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

The correct answer choice is a. (62.2, 113.8)

Step-by-step explanation:

Of the 500 customers who were told the increase applied to charges above $1000 each month, the average increase in spending was $527 with a standard deviation of $225.

Sample size = n₁ = 500

Sample mean = x₁ = $527

Standard deviation = s₁ = $225

Of the 500 customers who were told the increase applied to charges above $2000 each month, the average increase in spending was $439 with a standard deviation of $189

Sample size = n₂ = 500

Sample mean = x₂ = $439

Standard deviation = s₂ = $189

We are asked to find the 95% confidence interval for the difference between two means.

The given group of answer choices are

a. (62.2, 113.8)

b. (86.2, 120.5)

c. (10.3, 23.8)

d. (55.6, 67.8)

The confidence interval for the difference between two means is given by

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

Where \bar{x_{1} } and \bar{x_{2} } are the given sample means and margin of error is given by

$ MoE = z_{\alpha/2} \cdot \sqrt{\frac{s_{1}^2}{n_1} + \frac{s_{2}^2}{n_2}} $

The z-score corresponding to 95% confidence level is given by

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

From the z-table at α = 0.025 the z-score is 1.96

$ MoE = 1.96 \cdot \sqrt{\frac{225^2}{500} + \frac{189^2}{500}} $

MoE = 1.96 \cdot 13.14

MoE = 25.75

Finally,

CI = (\bar{x_{1} } - \bar{x_{2}} ) \pm MoE\\\\

CI = (527 - 439) \pm 25.75\\\\CI = 88 \pm 25.75\\\\CI = 88 - 25.75 \:\: and \:\: 88 + 25.75\\\\CI = (62.2 \: ,\: 113.8 )

Therefore, the correct answer choice is a. (62.2, 113.8)

How to use z-table?

In the z-table find the probability of 0.025

Note down the value of that row, it would be 1.9.

Note down the value of that column, it would be 0.06.

Add the two numbers together.

The z-score is 1.9 + 0.06 = 1.96

4 0
4 years ago
You and your friends have just measured the heights of your dogs. The heights are 600mm, 470mm, 170mm, 430mm and 300mm. Find out
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Answer:

To find the mean, you have to add all numbers together and divide them by the number of data points.

let me show what I mean:

The heights of the dogs are 600,470,170, 430,300.

Step-by-step explanation:

600+470+170+430+300.

1970.

Now we have to divide 1,970 by 5 ( because we are given 5 data points)

The mean is:

1970/5=394

Variance: First, arrange the data from least to greatest.

s2 = 27130

Standard Deviation: 164.71187

3 0
3 years ago
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