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r-ruslan [8.4K]
2 years ago
6

Of the 20 people in the store, 6 are from out-of-state. What percent of the people are from out-of-state?

Mathematics
1 answer:
MAXImum [283]2 years ago
6 0

Step-by-step explanation:

Let’s set up a proportion.

6/20=x\100 (percent is always out of 100. set parts and wholes equal)

x=30

30 percent of the people are from out of state.

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What is the next two steps for solving the following equation by using the quadratic formula?
sashaice [31]
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a = 2
b = -7
c =-3
Then use the Quadratic formula:
x = [-b +-sqroot(b^2 -4*a*c)] / 2*a


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6 0
2 years ago
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (
Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

\bar X = 41.538

s = 5.317

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

\bar X = 43.615

s= 5.583

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

\bar X= 3.462

s = 0.443

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

\bar X = 41.538

s = 5.317

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

\bar X = 43.615

s= 5.583

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

\bar X= 3.462

s = 0.443

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0
3 years ago
Solve for the roots in simplest form using the quadratic formula:<br> 4x2 + 4x = -5
weqwewe [10]

Answer:

Step-by-step explanation:

Move all terms to one side

4x^2 + 4x + 5 = 0

Plug into quadratic formula

x = (-4 <u>+</u> \sqrt{16 - 4(4)(5)}) / 2(4)

  = (-4 <u>+</u> \sqrt{-64})/8

At this point, there are no real answers. The roots to this equation are complex.

x = (-4 <u>+</u> 8i)/8

  = (-1 <u>+</u> 2i)/2

6 0
3 years ago
The three sides of a triangle are n, 3n+3, and 2n+11. If the perimeter of the triangle is 50 inches, what is the length of each
mylen [45]

Answer:

6, 21, and 23 inches

Step-by-step explanation:

The perimeter of a triangle is equal to the sum of all side lengths in that triangle. We're given the perimeter as 50 inches, and the side lengths as n, 3n + 3, and 2n + 11.

  • This means that we can algebraically solve the equation n + 3n + 3 + 2n + 11 = 50

Step 1: Combine like terms.

  • (n+3n+2n) + (3+11) = 50
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Step 2: Subtract 14 from both sides.

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Step 3: Divide both sides by 6.

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Step 4: Plug in the value of n as 6 in each side.

  • (6) + (3(6) + 3) + (2(6)+11) = 50
  • (6) + (18+3) + (12+11) = 50
  • (6) + (21) + (23) = 50  

Therefore, the side lengths are 6, 21, and 23 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0
2 years ago
How do you convert a mixed number 3 3/5 to an improper fraction?
oee [108]
Multiply 3 by the denominator, then add the numerator. Then we keep the original denominator. 
So we get:
3 x 5 = 15 + 3 = 18
we get:
18/5
3 0
3 years ago
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