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postnew [5]
3 years ago
12

One person can mow a field in 52 minutes and a second can mow the same field in 40 minutes. how long would it take the two of th

em to mow the field together?
Mathematics
1 answer:
swat323 years ago
6 0

It would be:1/x =  1/40+1/52 = 13+10/520 = 23/520

x = 520/23 = 22.60 minutes

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Find the value of a and b​
AnnyKZ [126]

Answer:

1/4 is correct answer

Step-by-step explanation:

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5 0
3 years ago
A certain industrial process yields a large number of steel cylinder whose lengths are distributed normally with mean 3.25 inche
Taya2010 [7]

Answer:

Y = X_1 + X_2

If we find the expected value of Y we got:

E(Y) = E(X_1) + E(X_2) = 3.25 + 3.25 =6.5

And for the variance we assume that we have independent random variables for X1 and X2 so then we have:

Var(Y) = Var(X_1) + Var(X_2) = \sigma^2 + \sigma^2 = 2 \sigma^2 = 2*(0.05^2) = 0.005

And the deviation Sd(Y) = \sqrt{0.005}=0.0707

So then our random variable Y have the following distribution:

Y \sim N (\mu =6,5 , \sigma = 0.0707)

And we want to find this probability:

P(Y

And we can use the z score formula given by:

z=\frac{y -\mu_y}{\sigma_y}

And if we use the z score formula we got:

P(Y

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

X \sim N(3.25,0.05)  

Where \mu=3.25 and \sigma=0.05

We slect two observations X_1, X_2

And let denote the combined lenght as:

Y = X_1 + X_2

If we find the expected value of Y we got:

E(Y) = E(X_1) + E(X_2) = 3.25 + 3.25 =6.5

And for the variance we assume that we have independent random variables for X1 and X2 so then we have:

Var(Y) = Var(X_1) + Var(X_2) = \sigma^2 + \sigma^2 = 2 \sigma^2 = 2*(0.05^2) = 0.005

And the deviation Sd(Y) = \sqrt{0.005}=0.0707

So then our random variable Y have the following distribution:

Y \sim N (\mu =6,5 , \sigma = 0.0707)

And we want to find this probability:

P(Y

And we can use the z score formula given by:

z=\frac{y -\mu_y}{\sigma_y}

And if we use the z score formula we got:

P(Y

3 0
2 years ago
Kevin just bought a refrigerator for 469. He paid 140.60 in a down payment and will pay the rest in equal installments. How much
enyata [817]

Answer:

$54.73 monthly installment for 6 months.

Step-by-step explanation:

Kevin just bought a refrigerator for $469.

He paid $140.6 in down payment and will pay the rest in equal installments.

If Kevin does not have to pay any interest and he will pay the rest amount in 6 months with monthly installments,  

Then, the value of each installment will be = \frac{469 - 140.60}{6} = 54.73 Dollars. (Answer)

4 0
2 years ago
-2.4(3)= please show work thank you
Inessa05 [86]
The answer is -7.20 click on file for more details.

4 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> Enter your answer in the box.
Effectus [21]

Answer:

Step-by-step explanation:

Remark

These two angles are supplementary. They make up the horizontal line. Supplementary angles add to 180 degrees.

Equation

x + 134 = 180

Solution and Answer

x + 134 = 180                    Subtract 134 from both sides

x + 134 - 134 = 180-134    Combine

Answer: x = 46

3 0
1 year ago
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