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Dmitry [639]
3 years ago
5

Ben wanted to run with his dad during a race. His dad was running a marathon which has a distance of 26.2miles. Ben goal was to

run with his dad 3/4 of the total distance. However Ben only was able to run 5/6 of his goal. How many miles to the nearest tenth, did Ben run
Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

16.4 miles

Step-by-step explanation:

In this scenario, we are provided with the total distance of the race which Ben's dad ran as well as the fraction of that distance that Ben ran from his goal. In order to calculate the distance in miles that Ben ran we simply need to first multiply the total distance of the race by the fraction that is Ben's goal. We can simplify this even more by dividing the fraction and turning it into decimal form

3 / 4 = 0.75

0.75 * 26.2miles = 19.65miles

Now we can see that Ben's goal was to run 19.65miles but he was only able to run 5/6 of that. Therefore we can multiply this fraction by his goal to get the actual distance that he ran.

5 / 6 = 0.8333

0.8333 * 19.65 = 16.375

Finally, we can see that Ben ran a total of 16.4 miles (rounded to the nearest tenth)

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3 years ago
According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per pe
Soloha48 [4]

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

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c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

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6 0
3 years ago
(Does anyone understand this???)
professor190 [17]

Answer:

y=-4x-8

Step-by-step explanation:

use points (0,-8) and (-2,0) and plug into slope formula.

slope formula=(y2-y1)/(x2-x1)

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you get y=4x+b

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8 0
3 years ago
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aev [14]

Answer:

D. 0.7x+10.8

Step-by-step explanation:

I used desmos calculator and typed in all the equations and this is the only one that was close to the set of dots. I attached a screetshot so you can look for yourself. I hope this helps


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The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seven
frez [133]

Answer:

100 students

Step-by-step explanation:

10% of students in 7th grade ----- 10 students

<em>Divide</em><em> </em><em>by</em><em> </em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

1% of students in 7th grade ----- 10 ÷10= 1 student

<em>×</em><em>100</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

100% of students in 7th grade ----- 1 ×100= 100 students

7 0
3 years ago
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