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cupoosta [38]
3 years ago
13

Students in 10th and 11th grade were asked whether they have a job. The raw data was converted to relative frequencies and recor

ded in the table below.
Given the conditional relative frequency table by column, what does the 0.14 represent?
Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Given that a student has a job, there is a 14% chance he or she is a 10th grader.
14% of the students surveyed are 10th graders who have a job.
14% of the students are 10th graders.
Mathematics
2 answers:
zepelin [54]3 years ago
6 0

Answer:

the answer is a. given that a student is a 10th grader, there is a 14% chance he or she has a job

Softa [21]3 years ago
5 0

Answer:

a)- Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Option (a) is correct here because Relative frequency means the probability of occurrence or number of time-specific event occurs to the total event.

Option (b) is not correct because We already know that student is in 10th or 11th grade, after that we get to know about 14% chance.

Option (c) & (d) are clearly not possible.

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Simplify -4 1/6 - -6 1/3 Which of the following is correct?
leonid [27]

Answer:

its 2 1/6 (B)

Step-by-step explanation:

3 0
3 years ago
The council rates are set to rise by 15%. If Teresa pays $950 per year now, what will she pay next year after the rise?
Eddi Din [679]

Answer:

She will pay $1092.50 because .15x950 is 142.50 and if you add that to 950. you get $1092.50

7 0
3 years ago
If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24
VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let r be the radius and \theta be the angle of a circle.

According with the graph, the area of the sector is given by

A=\frac{1}{2}r^2\theta

The arc lenght of a circle with radius r and angle \theta is r \theta

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

2r+r\theta=24 \:in

We need to express the area as a function of one variable, to do this we use the above equation and we solve for \theta

2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}

Next, we substitute this equation into the area equation

A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2

The domain of the area is

0

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r

12-2r=0\\-2r=-12\\\frac{-2r}{-2}=\frac{-12}{-2}\\r=6

To check if r=6 is a maximum we use the Second Derivative test

if f'(c)=0 and f''(c), then f(x) has a local maximum at x = c.

The second derivative is

\frac{d}{dr} A'(r)=\frac{d}{dr} (12-2r)\\A''(r)=-2

Because A''(r)=-2 the largest slice is when r = 6 in.

The diameter of the pizza is given by

D=2r=2\cdot 6=12 \:in

A 12 in diameter will reward you with the largest slice of pizza.

3 0
3 years ago
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