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kvasek [131]
3 years ago
10

Members of a park-walking club were asked how often do they visit a gym or other exercise facility outside their home. The follo

wing results were compiled after the survey: 0 visits per week: 13 1-3 visits per week: 17 4-6 visits per week: 8 7 or more visits per week: 17 What is the cumulative frequency of club members who exercise publicly for six or fewer times per week?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0

Answer: The cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

Step-by-step explanation:

The given results of the survey:

0 visits per week: 13

1-3 visits per week: 17

4-6 visits per week: 8

7 or more visits per week: 17

The  cumulative frequency of club members who exercise publicly for six or fewer times per week = Frequency for 0 visits + Frequency for 1-3 visits per week + Frequency for 4-6 visits per week

= 13+17+8

=38

Hence, the cumulative frequency of club members who exercise publicly for six or fewer times per week = 38

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A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in t
Anastaziya [24]

The number of feet in the length of the handrail is 17.3 ft.

The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle

The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft  turned through 270°= (3/4) of a whole revolution

(3/4) (2pi) (3)  =  (9/2)pi ft =   4.5 pi ft

The side of the rectangle will be the rise of the staircase = 10ft

And the diagonal of the rectangle will be the length of the handrail

We can use the Pythagorean Theorem to solve this

Handrail length = √ [ (4.5 pi)^2 + 10^2 ]  ≈  17.3 ft

Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Learn more about the Pythagorean theorem here: brainly.com/question/343682

#SPJ4

3 0
2 years ago
Need help with 13 and 14
Svetach [21]

Answer:

13. A

14. C.

Step-by-step explanation:

A relation is a function if there is only one y assigned to each x.

That is if you have a set of points, there should be no repeated x value.

So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.

The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.

The y-intercept is where the graph goes through the y-axis at.  It goes through at -1 so b=-1.

The slope is rise/run.  So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works.  You can do the counting if you want. You could also use the slope formula.

To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.

(0,-1)

-(3,1)

--------

-3  -2

So the slope is -2/-3 or just 2/3.

So the equation is y=2/3 x-1

C.

3 0
3 years ago
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kolezko [41]

Answer:

$80

Step-by-step explanation:

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7, 15, 23, ...<br> Find the 41st term.
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Answer:

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A boat traveled 27 miles in 2 hrs. At this rate, How many miles will the boat travele in 1/2 hrs
Mashcka [7]

Answer:

In explanation down below.

Step-by-step explanation:

So if the boat was able to travel 27 miles in 2 hours that means that it traveled 13.5 miles an hour. I think that you want to know how many miles the boat will travel in 1/2 an hour. Which is 6.75.  

1 hour: 13.5 miles

1/2 hour the boat has traveled 6.75 miles.

I hope this helps!!!

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