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Eddi Din [679]
4 years ago
12

Dwayne answered 80% of the questions on a quiz correctly. If he answered 40 questions correctly what was the total number of que

stions on Dwayne’s quiz
Mathematics
2 answers:
frosja888 [35]4 years ago
7 0

Answer:

50

Step-by-step explanation:

We have that he answered 80% correct and that 80% represents 40 questions:

Questions     Percentage

     40         ⇔      80%

We need to known the total number of questions on the quiz, that means we are looking for the 100% of questions. I will call the total quantity of questions x, and we update the last table:

Questions     Percentage

     40         ⇔      80%

      x          ⇔      100%

To find x, we solve this problem using <u>rule of three</u>: multiply the cross quantities on the table (40 and 100%) and divide by the remaining amount (80%), we get the following:

x = (40)(100%) / 80%

x = 4000/80

x = 50

the total number of questions on Dwayne’s quiz is 50.

morpeh [17]4 years ago
3 0
Hello! 
Dwayne would've had 50 total questions on the test if he got an 80% with 40 correct answers. (40/50 = .8, .8 x 100 = 80)

Hope this helped and good luck!

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Find the sum of the series given in sigma notation.
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Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




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3 years ago
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zavuch27 [327]

Answer:

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Step-by-step explanation:

5 0
3 years ago
In a sample of 53 walking canes, the average length was found to be 34.3in. with a variance of 1.9. Give a point estimate for th
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Answer:

1.38

Step-by-step explanation:

The point estimate for the population standard deviation of the length of the walking canes is given as the squareroot of variance. Since variance is provided as 1.9 then the standard deviation will be

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Step-by-step explanation:

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3 years ago
If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes
BaLLatris [955]

Snail takes 1.5 minutes to travel around one meter

<u>Solution:</u>

Given, the average speed of a garden snail is 0.025 miles per hour  

And one inch is approximately 2.54 centimeters,  

We have to find how many minutes would it take a garden snail to travel one meter?  

Now, let us convert the speed in miles per hour to meters per minute

Then, speed = 0.025 miles per hour  

= 0.025 x 1 mile / 1 hour  

= 0.025 x 1609.34 meters / 60 minutes

= 0.025 x 1609.34 / 60 meters per minute

\begin{array}{l}{=\frac{0.025 \times 1609.34}{60} \text { meters per minute }} \\\\ {=\frac{40.2335}{60} \text { meters per minute }}\end{array}

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Hence, snail takes 1.5 minutes approximately to travel 1 meter.

3 0
4 years ago
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