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RUDIKE [14]
3 years ago
11

glenn swims 2/3 miles on monday, 3/4mile on wednesday, and 5/6 miles on friday. What is the total of distance glenn swims on tho

se three day. show your work!!
Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

She swam a total distance of 2  1/4 miles in those three days.

Step-by-step explanation:

Okay, so- The first thing you need to do is make all denominators equal to make these fractions able to be added together. So, I made all denominators 12. (Tell me if you don't know how to make them all the same denominator, and I'll be happy to help!)

<u>2/3  =  8/12   </u>

<u>3/4  =  9/12 </u>

<u>5/6  =  10/12</u>

Then, I added the numerators together. Like this:

<u>8 + 9 + 10 = 27 </u>

So, this would be:

<u>27/12</u>

Lastly, I changed this improper fraction to a mixed number. I multiplied the denominator twice because it looked like it would be closest to 27 without going over.

<u>12 * 2 = 24 </u>

<em>The "2" will be the whole number in the mixed fraction.</em> Now, I'm going to subtract 24 from the numerator.  

<u>27 - 24 = 3 </u>

<u>2 3/12</u>

After simplified, the fraction will be:

2 1/4  

<h3>Hope this helps! Let me know if you need help with something else or if you have questions about this problem !</h3>

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Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organizatio
Margarita [4]

Answer:

Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.

It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.

For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.

This average would be the population mean: the average performance of the machines of the same type or process.

Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.

Step-by-step explanation:

For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.

Then, the null and alternative hypothesis are:

H_0: \mu=100\\\\H_a:\mu< 100

The significance level is 0.05.

The sample has a size n=14.

The sample mean is M=92.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944

The degrees of freedom for this sample size are:

df=n-1=14-1=13

This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.0134) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that machine A produces significantly less units per day than the average.

3 0
3 years ago
15 less than twice a number g is 19. Find g.
Helga [31]

Answer:

<h2>g = 17</h2>

Step-by-step explanation:

15 less than twice a number g is 19

2g - 15 = 19      <em>add 15 to both sides</em>

2g - 15 + 15 = 19 + 15

2g = 34       <em>divdie both sides by 2</em>

2g : 2 = 34 : 2

g = 17

4 0
3 years ago
How much will I get if I get a 8 percent of $108000
iren [92.7K]

Answer:

8,640

Step-by-step explanation:

EASY PERIOD

5 0
3 years ago
£54 is 10% off what is the the original price
Schach [20]

Answer:

48.6

Step-by-step explanation:

50/10=5

4/10=.4

54-5.4=48.6

6 0
2 years ago
In the fraction 35/10 what is the product that lies between
RUDIKE [14]
The result of the fraction is 3.5

we can calculate this like this:
\frac{35}{10} = \frac{5*7}{2*5} = \frac{7}{5}=3.5

I think that the question is asking between which two natural numbers the result lies, and the result is 3 and 4: it's bigger than 3 and smaller than 4

 
8 0
3 years ago
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