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Komok [63]
2 years ago
6

In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev

iation of 5.4 minutes. It is assumed that this is a normally distributed variable. Find the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
a. 0.38
b. 0.69
c. 0.99
d. 0.31
Mathematics
1 answer:
Paha777 [63]2 years ago
3 0

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

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The histogram below shows the number of properties in a town that sold within certain time periods.
Tomtit [17]

Answer:

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

Step-by-step explanation:

Given is a histogram that shows the number of properties in a town that are sold within certain periods.

On x axis is given number of days to sell and on y axis the number of properties

X axis is given in interval form with interval width 30 and on y axis scales are marked as 0,1,2....12,13 etc

The mistake is on y axis after 0, 10 is marked with unit distance from 0 but from 10 to 11 also distance is shown as 1 unit.

Hence correct option is

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

7 0
2 years ago
Read 2 more answers
Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys
AnnyKZ [126]

Answer:

The number of outfits she purchase with the left money = 3

Step-by-step explanation:

The exact question is as follows :

Given - Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. She buys a new bicycle for $383.32. She buys 4 bicycle reflectors for $9.09 each and a pair of bike gloves for $21.07. She plans to spend some or all of the money she has left to buy new biking outfits for $39.75 each.

To find - Write and solve an inequality which can be used to determine  x  where x, the number of outfits Nevaeh can purchase while staying within her budget.

Proof -

Given that,

Total money Nevaeh have = $ 560

She spent money on bicycle = $ 383.32

She spend money on 1 reflector = $ 9.09

As she buy 4 bicycle reflector, So

Total money spent on bicycle reflector = $ 4×9.09 = $ 36.36

She spend money on a pair of bike gloves = $ 21.07

So,

Total money she spend on the items = $ 383.32 + 36.36 + 21.07

                                                              = $ 440.75

⇒Total money she spend on the items = $ 440.75

So,

Total money Left = $ 560 - $ 440.75 = $ 119.25

Now,

She plans to spend some or all of the money she has left to buy new biking outfits for $ 39.75 each.

Let us assume ,

The number of outfits she purchase with the left money = x

AS,

each outfit cost = $ 39.75

So, x outfits cost = $ 39.75 x

Now,

$ 39.75 x = $ 119.25     (because total money left = $ 119.25)

⇒ x = \frac{119.25}{39.75} = 3

∴ we get

The number of outfits she purchase with the left money = x = 3

6 0
1 year ago
For today only I authorize you to offer a free insurance plan for one year to go to Mission signer for service dangerously in re
alukav5142 [94]

Answer:

1920

Step-by-step explanation:

7 0
1 year ago
A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequ
marshall27 [118]

Answer:

c) 44000 miles

Step-by-step explanation:

The regression line has the following format:

y = bx + a

In which b is the slope(how much each mile costs) and a is the fixed number of miles flown.

In this problem, we have that:

a = 24000, b = 10. So

y = 10x + 24000

A person who spent $ 2000 is predicted to have flown:

This is y when x = 2000.

y = 10(2000) + 24000

y = 44000

So the correct answer is:

c) 44000 miles

6 0
2 years ago
Write (3p^3)^2 without exponents
rodikova [14]

Answer:

3p*3p*3p*3p*3p*3p

Step-by-step explanation:

Multiply exponents

3p^6

expand

3p*3p*3p*3p*3p*3p = 3p^6

4 0
2 years ago
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