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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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? *
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.
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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It costs $3 for a pack of 20 pencils. Find the cost per pencil.
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?
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°
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
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?
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:
\((-\infty,1)\)
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
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.
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?
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:
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
Will mark brainliest
Answer:
27
Step-by-step explanation:
what does 5+5 equals?
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
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?
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
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)
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?
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
Answer:
what the exact question
Help pls What is the volume of this composite solid?
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
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!
help help help help help help help helphelp help help helphelp help help helphelp help help help
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
Answer:
The slope would be 10/15 or 2/3 in simplest form.
I will give 20 points
HELP
Answer:it’s the second one I think
Step-by-step explanation:
i’m stuck on this question please help
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
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.
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 =
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?
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.
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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