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Inessa05 [86]
3 years ago
11

Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week. The mean and standard

deviation (SD).
of the data he gathered, is shown in the table.
Gym A
Mean = 7
SD = 2.9
Gym B
Mean = 8
SD = 4.2
Gym C
Mean = 6
SD = 3.2
Use the information in the table to complete the following statement
The members of gym show the most consistency in the number of hours they exercised last week, because the
of this data set is the
Mathematics
2 answers:
Alexus [3.1K]3 years ago
5 0

Answer:

Step-by-step explanation:

Given that Jacob surveyed members of three different gyms and recorded the number of hours they exercised last week.

Table is as follows:

Gym     Mean       Std dev

  A            7            2.9

  B            8            4.2

  C            6            3.2

We know that std deviation is a measure of variation of the data set from the mean.  

Hence if std deviation is the least the data would be more consistent.

Here A has the least sd

Hence The members of gym show the most consistency in the number of hours they exercised last week, because the

of this data set is the one which has lowest std deviation

ANEK [815]3 years ago
4 0

Answer:

Step-by-step explanation:

Low value of Standard deviation represent the most of the numbers are very   close the mean value.

According to the given table GYM A Mean is 7 and SD is 2.9:;

It means gym A is most consistent in the number of hours they exercised last week.

Rest SD value is large as compare to 2.9<3.2<4.2....

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the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
2 years ago
Read 2 more answers
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nasty-shy [4]
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</em>
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