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svetlana [45]
3 years ago
13

​Women's heights average 62 inches with a standard deviation of 2.9 inches in a certain study. Use the​ 68-95-99.7 rule to deter

mine the typical ranges of the​ women's heights. In what range will approximately the middle 95​% of the​ women's heights​ lie?
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

Middle 95​% of the​ women's heights​ lie between 59.1 inches and 64.9 inches

Step-by-step explanation:

According to the 68-95-99.7 rule ,

  • 1 standard deviation around the mean includes middle 68% of the population
  • 2 standard deviation around the mean includes middle 95% of the population
  • 3 standard deviation around the mean includes middle 99.7% of the population

Therefore Middle 95​% of the​ women's heights​ lie 62±2.9 inches according to the study. That is between 59.1 inches and 64.9 inches.

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Rebecca has 3 pairs of running shoes.She bought new shoelaces for each pair.How many shoelaces did she buy?
kvasek [131]

Answer: 6 shoelaces

Step-by-step explanation:

Since 1 pair of shoes has 2 shoelaces, 3 x 2 = 6

3 pairs x 2 shoelaces = 6 shoelaces

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4 0
3 years ago
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If a coin is flipped twenty-five times and lands tails up seventeen times, the experimental probability that the coin lands tail
aliina [53]
Tails was landed 17/25 times, so the experimental probability would be .68 or 68%
17/25 = .68
Hope this helps!
5 0
3 years ago
Aunt Maggie’s car broke down on iterestate 10. Sams towing charges a $57 hoop up fee and $2.00 per mile towed. Reginas towing ch
lawyer [7]

Answer:

Both situations can be modeled using linear functions

The rate of change of the function that models Regina's towing charge is 2.5

The y-intercept of the functions that model both situations represents the hook up fee

Step-by-step explanation:

Let

x -----> the number of miles towed

y ----> the total charge in dollars

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

we have

Sam’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.00 per mile towed

so

The y-intercept is equal to the charge per fee

so

therefore

the linear equation is

Regina’s Towing

In this case the slope of the linear equation is equal to the unit rate

The unit rate is $2.50 per mile towed

so

The y-intercept is equal to the charge per fee

so

therefore

the linear equation is

Verify each statement

case 1) Both situations can be modeled using linear functions

The statement is true

See the explanation

case 2) The y-intercept of the function that models Sam's Towing charges is 2

The statement is False

The y-intercept of the function that models Sam's Towing charges is $57

case 3) The rate of change of the function that models Regina's towing charge is 2.5

The statement is true

See the explanation

case 4) The y-intercept of the functions that model both situations represents the hook up fee

The statement is true

See the explanation

case 5) The rate of change of the functions that model both situations represent the miles traveled per hour

The statement is False

The rate of change of the functions that model both situations represent dollars by mile towed

8 0
3 years ago
Write the standard equation of a circle with a center (2,-8) and radius 9
Anna11 [10]

The standard equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

We have:

(2, -8) → h = 2, k = -8

r = 9

Substitute:

(x-2)^2+(y-(-8))^2=9^2\\\\(x-2)^2+(y+8)^2=81

6 0
3 years ago
If the measure of angle DCF = 34 and the measure of angle DEF = 90, find the measure of angle CDE.
spayn [35]

Answer:

118

Step-by-step explanation:

Triangle CDE contains angles CDE, DCR and DER

Angles DCR=17 and DER=45 because in a kite, the diagonal on the line of symmetry bisects the angles and 34-2=17 90/2=45

The angles in a triangle add up to 180 and 180-17-45=118, meaning angle DER=118

3 0
3 years ago
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