Out of a group of 120 students that were surveyed about winter sports, 28 said they ski and 52 said they snowboard.


Sixteen of the students who said they ski said they also snowboard. If a student is chosen at random, find each


probability

Answers

Answer 1

The probability of  P(Ski) is 7 / 30, P(Snowboard) is 13 / 30,P(Ski & Snowboard) is 2/15 and P(ski or snowboard) is  8/15.

1. Probability of a student skiing (P(Ski)):
  P(Ski) = number of students who ski / total number of students = 28 / 120 = 7 / 30

2. Probability of a student snowboarding (P(Snowboard)):
  P(Snowboard) = number of students who snowboard / total number of students = 52 / 120 = 13 / 30

3. Probability of a student skiing and snowboarding (P(Ski & Snowboard)):
  P(Ski & Snowboard) = number of students who ski and snowboard / total number of students = 16 / 120 = 4 / 30

=2/15

4.Probability(ski or snowboard) = (7/30) + (13/30) - (2/15)

P(ski or snowboard) = 8/15
Therefore, the probabilities are:

P(ski) = 7/30

P(snowboard) = 13/30

P(ski and snowboard) = 2/15

P(ski or snowboard) = 8/15

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Related Questions

2a.) A(t) is the average high temperature in Aspen, Colorado, "t" months after the

start of the year. M(t) is the average high temperature in Minneapolis, Minnesota,

"t" months after the start of the year. Temperature is measured in degrees

Fahrenheit. Which function had the HIGHER average rate of change between the

beginning of January and middle of March? *

Answers

Answer:

As you didn't add the graph, I will for you.

Step-by-step explanation:

The correct answer is Minneapolis because as you can see Aspen did not change as dramatically as Minneapolis.

2a.) A(t) is the average high temperature in Aspen, Colorado, "t" months after thestart of the year.

The start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.

What is meant by function?

A mathematical formula, rule, or legislation that establishes the link between the independent variable and the dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

In the beginning of January, Aspen's temperature was 35° F, and in the middle of March, it was 48° F. 3.5 months later Minneapolis has lows of 25 degrees Fahrenheit in January and highs of 50 degrees Fahrenheit in the middle of March (at 3.5 months).

So, the average rate of change of temperature of Aspen between the points (1, 35) and (3.5, 48) exists

\($\frac{y_2-y 1}{x_2-x_1}=\frac{48-35}{3.5-1}=5.2$\)

The average rate of change of temperature of Minneapolis between the points (1, 25) and (3.5, 50) is \($\frac{50-25}{3.5-1}=10$\)

Thus, from the start of January and the middle of March, Minneapolis, or function M(t), had a larger average rate of change. It means that Minneapolis experiences a greater increase in temperature than Aspen does.

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2a.) A(t) is the average high temperature in Aspen, Colorado, "t" months after thestart of the year.

It costs $3 for a pack of 20 pencils. Find the cost per pencil.

Answers

Answer:

20/3

Step-by-step explanation:

Answer:

15 cents right?

Step-by-step explanation:

3/20=.15

Problema:1,745 kilómetros de distancia entre Mérida, Yucatán y Ciudad Victoria, Tamaulipas.1: 100 000 Escala en el mapa.¿Cuántos centímetros representan estos kilómetros en el mapa?

Answers

Answer:

1745 centimeters.

Step-by-step explanation:

The first thing is to pass the kilometers to centimeters, we know 1 km equals 100000 cm, therefore:

1745 km * 100000 cm / 1 = 174500000 cm

Now, when applying the scale, we have that it is 1: 100000, so we apply the scale:

174500000 * 1/100000 = 1745

That is to say that on the map those 1745 kilometers represent 1745 centimeters.

Arpitha lined up the interior angles of the triangle along the line below. Triangle A B C. Angle C is 99 degrees. 2 lines extend from a straight line to form 3 angles. From left to right, the angles are A, 22 degrees, C. What is the measure of angle A? 22° 59°

Answers

Answer:

B

Step-by-step explanation:

Because i took the test

Answer:

B edge2021

Step-by-step explanation:

what does 'out of' mean in math

Answers

Answer:

fraction / division / ratio

Step-by-step explanation:

It means a certain number out of the whole. Like 18 out of 20 students showed up to class.  

There are multiple parts to this and the rest will be revealed upon answering the previous question correctly.Part A: what is the vertex?

There are multiple parts to this and the rest will be revealed upon answering the previous question correctly.Part

Answers

The graph of the function is shown below:

a)

From the graph we notice that the vertex of the function is at the point:

\((7,-1)\)

b)

From the graph we notice that the axis of the function is the line:

\(x=7\)

C)

Since this is a polynomial its domain is all the real numbers, that is:

\(\text{dom}=(-\infty,\infty)\)

d)

From the graph we notice that the range is:

\(\text{range}=\lbrack-1,\infty)\)

e)

The graph is increasing in the interval:

\((-1,\infty)\)

f)

The graph is decreasing in the interval:

\((-\infty,1)\)

There are multiple parts to this and the rest will be revealed upon answering the previous question correctly.Part

5 points
13. The distribution by state of 840
students in the Faculty of Science of
a Nigerian university in a certain
session is as follows: Kano 45; Kwara
410; Ogun 105; Ondo 126; Oyo 154. In
a pie chart drawn to represent this
distribution, the angle subtended by
Ondo is
36°
0 42
45
0 54​

Answers

Answer:

\(Angle = 54\)

Step-by-step explanation:

Given

Kano = 45;

Kwara  = 410;

Ogun = 105;

Ondo = 126;

Oyo = 154

Total Distribution = 840

Required

Determine the angle subtended by Ondo (in a pie chart)

The general formula to calculate subtended angle in a Pie chart is;

\(Angle = 360 * \frac{Frequency}{Total\ Frequency}\)

In this case of Ondo

Frequency = 126

Total Frequency = Total Distribution = 840

Substitute these values in the given formula;

\(Angle = 360 * \frac{126}{840}\)

\(Angle = \frac{360 *126}{840}\)

\(Angle = \frac{45360}{840}\)

\(Angle = 54\)

Hence, the angle subtended by Ondo is 54

1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0

C.y/x>1

D.x/y<1

2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.

At least how many small machines can you fit so that it will not exceed the weight limit of the truck?

A.no more than 50

B.no less than 50

C.no less than 45

D.no more than 45

3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?

A.30 miles per hour

B.56 miles per hour

C.50 miles per hour

D.64 miles per hour

*please make sure you answer all the questions please and thank you.

Answers

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

john had $200. David had $180. After they each spent an equal amount of money, the ratio of john's money to david's money was 3:2. how much did each of them spent?

Answers

Answer:

$140

Step-by-step explanation:

After they spent an equal amount, John has $200 - x and David has $180 - x left.

According to the given information, the ratio of John's money to David's money is 3:2, which can be expressed as:

(200 - x) / (180 - x) = 3/2

To solve this equation, we can cross-multiply:

2(200 - x) = 3(180 - x)

Expanding the equation:

400 - 2x = 540 - 3x

Rearranging the terms:

3x - 2x = 540 - 400

x = 140

{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:​

Answers

Answer:

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Step-by-step explanation:

Domain = x

Range = y

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Answer:

domain = { 2, 4, 5, 9 }

range = { -2, 0, 2, 4 }

function = one-to-many

{(2,-2),(4,-2),(5,0),(5,2),(9,2),(9,4)} Domain: Range: Function:

Will mark brainliest

Will mark brainliest

Answers

Answer:

27

Step-by-step explanation:

what does 5+5 equals?

Answers

5+5 =10

Step-by-step explanation:

Extended form: 5+5

1+1+1+1+1=5

so,

1+1+1+1+1+1+1+1+1+1=10

Answer:

Step-by-step explanation:

5 + 5 =10.

because of what we learned in parts (d) and (e), we need to calculate the distances traveled during the time intervals [0, 2], [2, 6], [6, 8] separately. the distance traveled in the first 2 seconds is

Answers

The distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

To calculate the distance traveled during the time interval [0, 2] seconds, we need to integrate the velocity function over that interval. From part (d), we have the velocity function: v(t) = -16t + 40. To find the distance traveled, we integrate the absolute value of the velocity function over the interval [0, 2]: Distance = ∫[0, 2] |v(t)| dt. Using the given velocity function, we have: Distance = ∫[0, 2] |-16t + 40| dt.

To evaluate this integral, we need to split it into two parts based on the different intervals of the absolute value function: Distance = ∫[0, 2] (16t - 40) dt for 0 ≤ t ≤ 2. Integrating this expression, we get: Distance = [8t^2 - 40t] evaluated from 0 to 2. Plugging in the limits of integration, we have: Distance = [8(2)^2 - 40(2)] - [8(0)^2 - 40(0)]. Simplifying, we find: Distance = [32 - 80] - [0 - 0];Distance = -48. Therefore, the distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

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You can draw 2 cards from a deck of 52. Each card is numbered 1 number from the set {4,4,2,2,1,1,1,3}. What is the conditional probability that you will draw 1 first and 4 second?

Answers

Answer:

Step-by-step explanation:

Are the outcomes on the two cards independent? Why?

Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card.     No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

What are the zeros of the function below? Check all that apply

What are the zeros of the function below? Check all that apply

Answers

Answer:

-7. is the answer so tick it mark me brainlist

Answer:

1, -1

Step-by-step explanation:

just took the test

What is the slope and y-intercept of the graph? (write your answer in simplest form)

What is the slope and y-intercept of the graph? (write your answer in simplest form)

Answers

Answer:

slope: 5

y-intercept: -3

Step-by-step explanation:

slope: count rise and run from the angle of the line(down 5 left 1)

y-intercept: where the line meets the y-axis

Pooh Bear makes only one size honey shakes, and he uses 1/4 cup of honey in each drink. Pooh has 4/8 cup of honey. How many honey shakes can Pooh make?

Answers

Answer:

2

Step-by-step explanation:

4/8 cup = 1/2 cup, and 1/2 cup is twice 1/4 cup.

Answer: 2

8. The line plots below show the number of students in each of Andre's and Mandy's classes at school

Answers

Answer:

what the exact question

Help pls What is the volume of this composite solid?

Help pls What is the volume of this composite solid?

Answers

Answer:

D

Step-by-step explanation:

First, we can find the volume of the rectangular prism.

As shown in the image, the dimensions are 4 by 4 by 9.

So,

4 * 4 * 9 = 144.

Now, we find the volume of the triangular prism.

As shown in the image, the dimensions are 3 by 4 by 9.

So,

3 * 4 * 9 = 108.

Now we add the volumes together:

144 + 108 = 252.

So, the answer is option D: 252 cubic meters.

Answer:

C

Step-by-step explanation:

Please give me brainliest

what is the value of 7 in 2784

Answers

Answer:

Step1

First look at the value for 4 and then rest numbers 1234

Step2

4 is Unit 3 is Tens 2 is Hundred and 1 is Thousand

Step3

So in the question 4 is Unit 8 is Tens 7 is Hundred and 4 is thousand

PLEASE HELP, and dont forget to show work!

PLEASE HELP, and dont forget to show work!

Answers

Answer: -rad7, +rad7

Explanation:
- Divide the equation by 6 (x^2-7=0)
- Add 7 (x^2=7)
- Square root x to find solutions (x=rad7)
- Dont forget the radical means that there are two solutions!

help help help help help help help helphelp help help helphelp help help helphelp help help help

help help help help help help help helphelp help help helphelp help help helphelp help help help

Answers

Answer:

X = 36/17

y = -8/17

Step-by-step explanation:

Since they both equal y, you could use them equal to each other.

(5/2)x-4=(-1/3)x+2

Then solve for x by combining like terms. X should be 36/17. Plug in x to find y in one of the equations. I will use the top one. (5/3)(36/17)-4=y. That should simplify down to (60/17)-4=y. Y would finally equal -(8/17).

Answer:

What the other guy said. I think he is correct.

Step-by-step explanation:

Find the slope help plz​

Find the slope help plz

Answers

Answer:

The slope would be 10/15 or 2/3 in simplest form.

I will give 20 points

HELP

I will give 20 pointsHELP

Answers

Answer:it’s the second one I think

Step-by-step explanation:

i’m stuck on this question please help

im stuck on this question please help

Answers

a = 8

b = 6

c = 12

hope this helps!

Answer:

a= 0

b= 6

c= 4

You plug in the numbers in the equation

Urgent help

Solve the whole right triangle

Urgent help Solve the whole right triangle

Answers

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.

Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include your calculations and the completed table in your answer.

In a study of the television viewing habits of children, a developmental psychologist selects a random

Answers

Answer:

50, 130, 30, 60

Step-by-step explanation:

For the boys row (Simpsons)-20

For the girls row (Simpsons)-70

For the girls row (Lone Ranger)-50

For the total of Sesame Street- 110

Hope this helped!

find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating J4 3 1/x dx, by the trapezoidal rule with n equal subintervals.n =

Answers



To find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating J4 3 1/x dx, by the trapezoidal rule with n equal subintervals, we need to use the formula for the error of the trapezoidal rule. This formula is given by:

Error = -(h^3)/(12*n^2)*f''(c),


where c is any point within the interval [a,b], h is the length of each subinterval, and n is the number of subintervals.

We can rearrange this formula to get n = sqrt((-12*Error)/(h^3*f''(c))).

Substituting the given values, we get n = sqrt((-12*(1/30000))/(4^3*(12))),

Therefore, n = 7.07.

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Slope-intercept intro
What is the y-intercept of y = -3 – 7x?

Answers

Answer:

The slope is -7 and the y intercept is -3

A function is given.f(x) = 3x − 8; x = 2, x = 3(a) Determine the net change between the given values of the variable.(b) Determine the average rate of change between the given values of the variable.

Answers

The net change between the values of the variable x=2 and x=3 for the function f(x)=3x-8 is 1. The average rate of change between the values of x=2 and x=3 for the function f(x)=3x-8 is 3.

(a) The net change between the given values of the variable is determined by subtracting the function value at x = 2 from the function value at x = 3.

f(3) - f(2) = (33) - 8 - [(32) - 8] = 1

Therefore, the net change between the given values of the variable is 1.

(b) The average rate of change between the given values of the variable is determined by dividing the net change by the difference in the values of the variable.

Average rate of change = (f(3) - f(2))/(3-2) = (1/1) = 1

Therefore, the average rate of change between the given values of the variable is 1.

The net change between two points on a function is the difference in the function values at those points. In this case, the function values at x = 2 and x = 3 are 2 and 1, respectively. Therefore, the net change between these two points is 1.

The average rate of change between two points on a function is the slope of the line connecting those two points. In this case, the two points are (2, f(2)) and (3, f(3)). The slope of the line connecting these two points is the same as the average rate of change between these two points. The formula for the slope of the line passing through two points is (y2-y1)/(x2-x1), which is the same as the average rate of change formula. Therefore, the average rate of change between x = 2 and x = 3 is equal to the slope of the line connecting the two points, which is 1.

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