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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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CD is a line parallel to AB and passes through the point (3, 5).
Mrac [35]

Answer:

y=5/3x+b

Step-by-step explanation:

Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.

So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.

Thank you!

4 0
2 years ago
This is math questions that we made up!
Lyrx [107]
How did you do that
5 0
3 years ago
If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point b’?
mojhsa [17]

Answer:


In the given figure the sides of triangle measures as follows:


AB= 4 units,


BC= 6 units,


Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,


AB² + BC² = AC²


Plugging the values of AB and BC to find AC,


4² + 6² = AC²


16+36=AC²


AC = 7.48


Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'


side A'B' = 2* AB = 2*4= 8 units


side B'C' = 2* BC = 2*6 =12 units


side A'C' = 2*AC = 2*7.48 = 14.96 units


Perimeter of triangle = sum of three sides


Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.


Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.


Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC


The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.


Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.



8 0
3 years ago
Solve by using proper methods. Show your work.
NeX [460]

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

P=\dfrac{A}{(1+\frac{r}{n})^{nt}}

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}

P=\dfrac{200,000}{(1.00583333333)^{12(15)}}

P=70,201.38

So the principal needed to get 200,000 in 15 years is $70,201.38.

7 0
3 years ago
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp
kiruha [24]

Answer:

Zero

Step-by-step explanation:

The temperature will remain constant over time. This means the slope of the graph will be constant from one point of the graph to the other, which cancels out to zero.

8 0
3 years ago
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