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shutvik [7]
3 years ago
8

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume

that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?
Mathematics
1 answer:
Fed [463]3 years ago
4 0
Since 68% of the sample ranges from the plus minus first standard deviation from the mean, then interval wherein it will occur will be between 53.5% to 60.5%. I got this answer through adding and subtracting one standard deviation (3.5) from the mean (which is 57). 
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LM has the end points (-2, -4) and (4, -6) what are the coordinates for the midpoint of the LM
DanielleElmas [232]
(-2 +4)/2 = 2/2 = 1
(-4-6)/2 = -10/2 = -5
midpoint  = (1, -5)
5 0
3 years ago
Misty wishes to obtain 85 ounces of a 40% acid solution by combining a 72% acid solution with a 25% acid solution. How much of e
Y_Kistochka [10]

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

<u>Step-by-step explanation:</u>

Total mass of acid required= 85 ounces

Let the mass of 72% acid be 'a'

Let the mass of 25% acid be 'b'

a + b = 85

b = 85-a

85(40/100) = a(72/100) + b(25/100)

85(2/5) = a(72/100) +(85- a) (25/100)

34 = (72a/100) + (2125/100) - (25a/100)

34 - (2125/100) = (72a + 25a) /100

(3400-2125)/100 = 97a /100

97a = 1275

a =  13.15 ounces

b = 85 - 13.14

b = 71.85 ounces

13.15 ounces of 72% acid and 71.85 ounces of 25% acid are needed

4 0
3 years ago
Extra points
weqwewe [10]

Answer:

Sale tax rate = 7.5%

Step-by-step explanation:

The book cost $12.95

If you take 12.95 x 0.075 = 0.97125

Round the answerto the hundredth (0.97)

Add the tax, 12.95 + 0.97 = 13.92

5 0
3 years ago
Is a CR grade good or bad? ​
Ray Of Light [21]
Really good if u don’t have strict parents
5 0
3 years ago
Solve, then write, each equation in slope intercept form. ​
djyliett [7]

Answer:

1) (3,5)

2) (4,-7)

3)  (6,4)

4) (-4,-3)

Step-by-step explanation:

1)

Subtract  y  from both sides of the equation.

x  =  8  −  y

x  −  y  =  −2

Replace all occurrences of x  in x  −  y  =  −2  with  8  −  y.

x  =  8  −  y

(8  −  y)  −  y  =  −2

Subtract y from  −y.

x  =  8  − y

8  −  2y  =  −2

Solve for  y  in the second equation.

x  =  8  −  y  

y  = 5

Replace all occurrences of  y  in  x  =  8  −  y  with  5.

x  =  8  −(5)

y  =  5

Simplify  8  −(5).

x  =  3

y  =  5

Slope = (3,5)

2)

Multiply each term by  2  and simplify.

2x+y=12

y+6=−x−4

Move all terms containing variables to the left side of the equation.

2x+y=1x+2

y+6=−4

Move all terms not containing a variable to the right side of the equation.

2x+y=1x+2

y=−10

Multiply each equation by the value that makes the coefficients of  x  opposite.

2x+y=1(−2)⋅

(x+2y)=(−2)(−10)

Simplify.

2x+y=1−2x−4

y=20

Add the two equations together to eliminate  x  from the system.

2x+y=1+−2x−4

y=20−3

y=21

Divide each term by  −3  and simplify.

y  = −7

Substitute the value found for  y  into one of the original equations, then solve for  x.

x  =  4

slope (4,-7)

3)

Subtract  y  from both sides of the equation.

2x−y=8x−y=2

Multiply each equation by the value that makes the coefficients of  y  opposite

2x−y=8(−1)⋅

(x−y)=(−1)(2)

Simplify. 2x−y=8

−x+y=−2

Add the two equations together to eliminate  y  from the system.

2x−y=8  +  −x+y=−2x=6

Substitute the value found for  x  into one of the original equations, then solve for  y.

y=4

slope (6,4)

4)

Simplify 2(x+1).

y−3=2x+2

y=−3(x+5)

Simplify  −3(x+5)

y−3=2x+2

y=−3x−15

Move all terms containing variables to the left side of the equation.

−2x+y−3=2

y=−3x−15

Add  3x  to both sides of the equation.

−2x+y−3=2

y+3x=−15

Move all terms not containing a variable to the right side of the equation.

−2x+y=5

y+3x=−15

Reorder the polynomial.

−2x+y=5

3x  +  y=−15

Multiply each equation by the value that makes the coefficients of  y  opposite.

−2x+y=5(−1)⋅

(3x+y)=(−1)(−15)

Simplify.

−2x+y=5

−3x−y=15

Add the two equations together to eliminate  y  from the system.

−2x+y=5  +  −3x−y=15−5x=20

Divide each term by  −5  and simplify.

x=−4

Substitute the value found for  x  into one of the original equations, then solve for y.

y=−3

slope (-4,-3)

4 0
3 years ago
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