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Ahat [919]
4 years ago
11

Manny can complete a sales route in 7 hours. Jane can do the same job in 3hours. How long will it take them to the job together

Mathematics
1 answer:
Butoxors [25]4 years ago
4 0

Answer:

Step-by-step explanation:

1/7x+1/3x=1

3/21x+7/21x=1

10/21x=1

x=21/10 hour or 2 hours and 1 minute

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Y divided by seven plus 6 equals 11
anygoal [31]
You answer should be y=35 let my know if I’m wrong hope this helps☺️
4 0
3 years ago
Read 2 more answers
What percent is 680 of 2300
Usimov [2.4K]
29.5652% please give brainlest
8 0
3 years ago
Read 2 more answers
Determine the area under the standard normal curve that lies to the right of ​(a) Upper Z equals negative 0.77 comma ​(b) Upper
suter [353]

Answer:

a) P(Z> 0.07) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

P(Z>0.07) = 0.472

b) P(Z> 0.07) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

P(Z>0.07) = 0.472

c) P(Z> -0.92) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

P(Z>-0.92) = 0.821

d) P(Z> 0.39) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

P(Z>0.39) = 0.348

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

Part a

We want this probability:

P(Z> -0.77)

And using the complement rule and we got:

P(Z> -0.77) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(-0.77,0,1,TRUE)"

And we got:

P(Z>-0.77) = 0.779

Part b

We want this probability:

P(Z> 0.07)

And using the complement rule and we got:

P(Z> 0.07) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(0.07,0,1,TRUE)"

And we got:

P(Z>0.07) = 0.472

Part c

We want this probability:

P(Z> -0.92)

And using the complement rule and we got:

P(Z> -0.92) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(-0.92,0,1,TRUE)"

And we got:

P(Z>-0.92) = 0.821

Part d

We want this probability:

P(Z> 0.39)

And using the complement rule and we got:

P(Z> 0.39) = 1-P(Z

And we can use the following excel code:

"=1-NORM.DIST(0.39,0,1,TRUE)"

And we got:

P(Z>0.39) = 0.348

7 0
4 years ago
A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to
Vaselesa [24]

Answer:

We conclude that the population average weight of a cereal box is equal to 13 ounces.

Step-by-step explanation:

We are given that a cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.

A random sample of 36 boxes is tested. The sample average weight is 12.85 ounces and the sample standard deviation is 0.75 ounces.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = population average weight of a cereal box</em></u>

So, Null Hypothesis, H_0 : \mu = 13 ounces    {means that the population average weight of a cereal box is equal to 13 ounces}

Alternate Hypothesis, H_A : \mu \neq 13 ounces    {means that the population average weight of a cereal box differs from 13 ounces}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average weight = 12.85 ounces

            \sigma = sample standard deviation = 0.75 ounces

            n = sample of boxes = 36

So, <u><em>test statistics</em></u>  =  \frac{12.85-13}{\frac{0.75}{\sqrt{36} } }  ~ t_3_5

                               =  -1.20

The value of the test statistics is -1.20.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now at 5% significance level, <u>the t table gives critical values between -2.03 and 2.03 at 35 degree of freedom for two-tailed test</u>.

Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the population average weight of a cereal box is equal to 13 ounces.

3 0
3 years ago
Shelly ran 2 1/4 miles Lynne ran 3 1/8 Miles WhobRan Farther and by how much
ValentinkaMS [17]
Lynne ran farther and by 7/8 miles 

You can tell Lynne ran further because she ran 3 whole miles while shelly only ran 2 whole miles. Now you have to subtract to see how much Lynne had ran more.

You found a common denominator between 8 and 4. 4 can turn into 8. so you multiply 4x2 and 1x2 to get a mixed number of 2 2/8

Now you have to turn 3 1/8 because you cannot subtract 2/8 from 1/8. You can turn the fraction into 2 9/8 because there are 8 pieces in a whole.

2 9/8 - 2 2/8 = 0 7/8

Hope this helps! :)
6 0
3 years ago
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