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qaws [65]
1 year ago
13

A local health clinic surveys its patients about their waterdrinking habits. It found the data is normally distributed,the mean

amount of water consumed daily is 62 ounces, andthe standard deviation is 5.2. How much water, in ounces,do approximately 95% of the patients drink each day?A: 56.8 to 67.2B: 54.2 to 69.8C: 51.6 to 72.4D: 41.2 to 62.0
Mathematics
1 answer:
satela [25.4K]1 year ago
3 0

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

water drinking habits:

mean = 62 ounces

standard deviation = 5.2 ounces

Step 02:

normally distribution:

95% ===> 2 SD

(62 + 5.2 + 5.2) ounces = 72.4 ounces ==> + 2 SD

(62 - 5.2 - 5.2) ounces = 51.6 ounces ==> - 2 SD

The answer is:

51.6 ounces - 72.4 ounces

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0,3 3,3 2,3 and 1,2 (from A to D)
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D
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Answer:

General equation of line : y = mx+c   --1

Where m is the slope or unit rate

Table 1)

p    d

1      3

2     6

4     12

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

First find the slope

First calculate the slope of given points

m = \frac{y_2-y_1}{x_2-x_1}   ---A

(x_1,y_1)=(1,3)

(x_2,y_2)=(2,6)

Substitute values in A

m = \frac{6-3}{2-1}

m = 3

Thus the unit rate is 3 dollars per pound.

So, It matches the box 1 (Refer the attached figure)

Equation 1 : p=3d

\frac{p}{3}=d

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m = \frac{1}{3}

Thus the unit rate is \frac{1}{3} dollars per pound

So, It matches the box 2 (Refer the attached figure)

Equation 2 : \frac{1}{3}d=3p

d=9p

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

m =9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

Table 2)

p        d

1/9      1

1         9

2        18

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

(x_1,y_1)=(\frac{1}{9},1)

(x_2,y_2)=(1,9)

Substitute values in A

m = \frac{9-1}{1-\frac{1}{9}}

m = \frac{8}{frac{8}{9}}

m = 9

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

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The answer is $8.75. You have to find what one costs which is 1.25 so if you have 7. 1.25 times 7 is $8.75
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