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irina1246 [14]
3 years ago
10

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found

that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard.

Mathematics
2 answers:
11111nata11111 [884]3 years ago
4 0
Given a data on the relationship between the number of students that have ever gone snowboarding and <span>the number of students that own a skateboard.</span>

Given from the survey that <span>35 of the 99 students who own a skateboard have snowboarded and there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard.

We represent the above information in a two</span> way frequency table.

                              Have Snowboarded         Never Snawboarded          Total
Skateboard                          35                                     64                          99

No Skateboard                    13                                     147                        160

Total                                     48                                     211                        259
sergey [27]3 years ago
4 0

Answer:

C (pic below)

Step-by-step explanation:

Just took the test!

Brianliest plz!

<em>Saffron</em>

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Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot(t/2), [π/4, 7π/4]
agasfer [191]

Answer:

the absolute maximum value is 89.96 and

the absolute minimum value is 23.173

Step-by-step explanation:

Here we have cotangent given by the following relation;

cot \theta =\frac{1 }{tan \theta} so that the expression becomes

f(t) = 9t +9/tan(t/2)

Therefore, to look for the point of local extremum, we differentiate, the expression as follows;

f'(t) = \frac{\mathrm{d} \left (9t +9/tan(t/2)  \right )}{\mathrm{d} t} = \frac{9\cdot sin^{2}(t)-\left (9\cdot cos^{2}(t)-18\cdot cos(t)+9  \right )}{2\cdot cos^{2}(t)-4\cdot cos(t)+2}

Equating to 0 and solving gives

\frac{9\cdot sin^{2}(t)-\left (9\cdot cos^{2}(t)-18\cdot cos(t)+9  \right )}{2\cdot cos^{2}(t)-4\cdot cos(t)+2} = 0

t=\frac{4\pi n_1 +\pi }{2} ; t = \frac{4\pi n_2 -\pi }{2}

Where n_i is an integer hence when n₁ = 0 and n₂ = 1 we have t = π/4 and t = 3π/2 respectively

Or we have by chain rule

f'(t) = 9 -(9/2)csc²(t/2)

Equating to zero gives

9 -(9/2)csc²(t/2) = 0

csc²(t/2)  = 2

csc(t/2) = ±√2

The solutions are, in quadrant 1, t/2 = π/4 such that t = π/2 or

in quadrant 2 we have t/2 = π - π/4 so that t = 3π/2

We then evaluate between the given closed interval to find the absolute maximum and absolute minimum as follows;

f(x) for x = π/4, π/2, 3π/2, 7π/2

f(π/4) = 9·π/4 +9/tan(π/8) = 28.7965

f(π/2) = 9·π/2 +9/tan(π/4) = 23.137

f(3π/2) = 9·3π/2 +9/tan(3·π/4) = 33.412

f(7π/2) = 9·7π/2 +9/tan(7π/4) = 89.96

Therefore the absolute maximum value = 89.96 and

the absolute minimum value = 23.173.

7 0
3 years ago
use the order of operations to simplify this expression. exspress your answer in the simplest form. 1/4 + 1/2 ÷ 2/8​
elixir [45]

Answer:

9/4

Step-by-step explanation:

This is quite simple you do 1/2 divided by 2/8 which will become multiplication. Then its that number plus 1/4

you get a answer of

9/4 in fraction form

2.25 in decimal form

2 1/4 in mixed fraction form

7 0
2 years ago
What is 75 minutes to ten hours in ratio and simplest form
Arada [10]

Answer:

1:8

Step-by-step explanation:

75min/10hr

10*60=600

75/600

1/8


7 0
3 years ago
Complete the steps to factor 56x2 – 8x – 7x + 1 by grouping.
solmaris [256]

you dont use the distributive property

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then you foil it and combine like terms

7 0
3 years ago
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Svetradugi [14.3K]

Answer:

the answer is (A)

Step-by-step explanation:

6 0
2 years ago
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