Answer:
>
Step-by-step explanation:
The bumper car ride at the state fair has 2 red cars, 3 green cars, and 3 blue cars. Janet is first in line for the ride and is assigned a car at random. Sarah is next in line and is randomly assigned a car. What is the probability that both Janet and Sarah will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
96.4%
25%
6.3%
3.6%
The probability (in percentage form) is 3.6%, so the correct option is the last one.
How to find the probability?First, Janet is assigned to a car. We want to find the probability that it is a red car. All the cars have the same probability of being assigned, then the probability of getting a red car is equal to the quotient between the number of red cars and the total number of cars:
p = 2/(8) = 1/4
Now there is 1 red car left and 7 cars in total left.
Sarah is next on line, the probability that she gets a red car will be:
q = 1/7
The joint probability (the probability of both of these events happening) is given by the product of the two individual probabilities, so we get:
P = (1/4)*(1/7) = 0.036
If we multiply this by 100%, we get:
P = 100%*0.036 = 3.6%
So the correct option is the last one.
If you want to learn more about probability, you can read:
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What is the volume of a sphere with a radius of 2.5 units?
Answer: A sphere (from Greek σφαῖρα—sphaira, "globe, ball") is a geometrical object that is a three-dimensional analog to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the center of the sphere, and r is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians.
Step-by-step explanation: The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… The volume of Sphere. Enter the volume contained within a sphere. The radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.
Which best describes the graph of the cubic function f(x) = x3 x2 x 1?.
Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is [tex]f(x)[/tex]
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values [tex]f(x)[/tex]
are plotted on the vertical axis.
They are together plotted on the point
[tex](x,y) = (x, f(x))[/tex]
This is why we usually write the functions as:
[tex]y = f(x)[/tex]
For the considered function [tex]f(x) = x^3 +x^2 +x + 1[/tex] is attached below.
Learn more about graphing functions here:
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The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of having any number of siblings, X, for a randomly selected student. Which number of siblings is least likely?.
The number 4 siblings are least likely to be selected
What is the number of a sibling to be selected?Probability is the likelihood of an event occurring or not. Probability value ranges from impossibility(0) to certainty(1).
The lower the value, the less likely the event is bound to occur.
From the probability distribution table, the probability of having 4 siblings at the game is 0.
This is the lowest out of all the given values in the probability distribution table. Therefore, it is the least likely event.
Thus the number 4 siblings are least likely to be selected
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Give the coordinates of each vertex (D, E and F) and explain how you found the coordinates using the transformation rules.
Step-by-step explanation:
We have that the vertices of triangle ABC are:
A(4, 2)
B(7, 9)
C(7, 2)
First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:
A'(-4, 2)
B'(-7, 9)
C'(-7, 2)
Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:
D(-4, -3)
E(-7, 4)
F(-7, -3)
The price of a new car was £12500It is reduced to 11625Work out the percentage reduction
Answer:
The percentage reduction is 7%
2. Mr. Rivera revealed that 70% of the students got an A on the vocabulary quiz in ELA this.
week. If there are 100 students in Mr. Riverds class, create a model that represente bo
many students got an A.
Answer:
143 to the nearest Whole #
Step-by-step explanation:
100/0.70=142.59
Four people each deliver food to people’s homes. Curtis charges a flat flee of $2.50 for each delivery plus $0.20 per mile for each mile he drives. For one delivery, Curtis drives 6 miles. How much does Curtis charge to deliver the food?
Please show your work
Answer:
$3.70
Step-by-step explanation:
0.2 x 6 = 1.2
1.2 + 2.5 = 3.7
The volume of a cube is 7,077.888 cubic meters. What is the length of each side of the cube?
Answer:
19.2
Step-by-step explanation:
Take note:
a = edge
v = volume
Equations for a Cube
[tex]v=a^{3}[/tex]
[tex]a=v^{\frac{1}{3} }[/tex]
We are given V. Plug 7,077.888 into the second equation.
[tex]a=7077.888^{\frac{1}{3} }[/tex]
[tex]a=19.2[/tex]
A large container holds 7 gallons of water. It begins leaking at a
constant rate. After 8 minutes, the container has 5 gallons of
water left.
At what rate is the water leaking and After how many minutes will the container be empty?
Answer:
The container will take 25 minutes to go from full to empty.
Step-by-step explanation:
In 15 minutes, the container has lost 3 gallons of water (
5
−
2
=
3
).
Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.
So for the container to lose the full 5 gallons will take 25 minutes (
5
×
5
=
25
4n^2+16n+15 factor completely
Answer:
(2n+3)(2n+5)
Step-by-step explanation:
can some one help me please
Answer:
Step-by-step explanation:
i think it is reflection in the line y=-1
when 8 is added to 1/3 of a number, the result is 23 find the number
Answer:
The number would be 5!
Step-by-step explanation:
23-8=15
15/3=5
Have a wonderful day!! :)
Answer:
8+x/3=23
Step-by-step explanation:
x/3=15
x=15x3=45
Solve for x + 5 = 30
Answer:
25
Step-by-step explanation:
Please help me ASAP!!!!!
Answer:
Since
x=−5 is a vertical line, there is no y-intercept and the slope is undefined.
Slope: Undefined
y-intercept: No y-intercept
Step-by-step explanation:
Convert 2.19 liters to milliliters.
Enter your answer in the box.
Hey there!
1 litres = 1000 milliliters
To find the value we multiply litres × 1000
=> 2.19 × 1000
=> 2190
Therefore, 2.19 to milliliters is 2190 millilitres
a2 - b2 - 2a + 1 plss give me answer fast
Answer:
( a − 1 + b )( a − 1 − b )
.
Answer:
(a−1+b)(a-1−b)
Step-by-step explanation:
A farmer had 3,000 acres of land. He planted 30% of it with wheat, 45% of it with corn, and the rest with oats.
Find how many acres he planted with each kind of grain
Answer:
900 acres of wheat
1350 acres of corn
750 acres of oats
Step-by-step explanation:
3000 = 100%
÷ 10 both sides
300 = 10%
× 3
900 = 30%
300 = 10%
× 4
1200 = 40%
300 ÷ 2 = 150 (5%)
1200 + 150 = 1350
1350 + 900 = 2250
3000 - 2250 = 750
Anita needs to build a house for a school project. The base of the house is a rectangle where the length of a rectangle is 8 more than the width. Its area is 240 ft sq
L = lengh
W = width
french reasoning ( hello from France ) !
The base of the house is a rectangle where the length of a rectangle is 8 more than the width.
=> L = W + 8
and
Its area is 240 ft sq
W x L = 240
L = W + 8
W x L = 240
=> W x (W+8) = 240
W² + 8W - 240 = 0
Δ = 8² - 4*1*(-240) = 32²
W' = (-8 + 32) / 2 = 12 ft
W'' = (-8 - 32) / 2 = impossible
at the end
W the width = 12 ft
and then the lengh = 12 + 8 = 20
area = 12 x 20 = 240 ft²
Express the following equation in the form of ax^2+bx+c=0.
(4a+3)^2 = (a+5)(a-2)
Answer:
15a² + 21a + 19 = 0
Step-by-step explanation:
(4a + 3)² = (a + 5)(a - 2)
16a² + 24a + 9 = a² + 3a - 10
15a² + 21a + 19 = 0
Can someone help me please
Answer:
[tex]it \: has \: a \: circular \: symmetry[/tex]
A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?
pls send help a girl is struggling
Answer:
Delivery Trip: 3 hours
Return Trip: 4 hours
Step-by-step explanation:
d/60 + d/45 = 7
45d/2700 + 60d/2700 = 7
105d/2700 = 7
105d = 18900
d = 180
180/60 = 3
180/45 = 4
Answer:
delivering 180/45 = 4 hours and return trip 180/60 = 3 hours
Step-by-step explanation:
d = unknown number to calculate each trip
[tex]\frac{d}{45}[/tex] + [tex]\frac{d}{60}[/tex] = 7
find common denominator (45 * 60 = 2700)
([tex]\frac{60}{60}[/tex])*([tex]\frac{d}{45}[/tex]) +( [tex]\frac{45}{45}[/tex])*([tex]\frac{d}{60}[/tex]) =7
[tex]\frac{60d}{2700}[/tex] + [tex]\frac{45d}{2700}[/tex] =7
[tex]\frac{60d + 45d}{2700}[/tex] =7
[tex]\frac{105d}{2700}[/tex] = 7
105d = 7 * 2700
105d = 18,900
d = 18900/105
d = 180
delivering 180/45 = 4 hours
return trip 180/60 = 3 hours
The graph shows information about the costs of taxi journeys in France.
For each journey, there is a fixed charge plus a charge for the distance travelled.
a) How much is the fixed charge?
Jean makes two journeys by taxi.
One journey is 6km more than the other journey.
b) Work out the difference between the costs of these two journeys.
The fixed charge is about 5 pound. For extra 6 km, extra cost is about 9 pound
What is a linear equation?A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value of y.
From the graph:
The fixed charge is about 5 pound.
Using the point (0, 5) and (20, 35)
Charge per mile = (35 - 5) / (20 - 0) = 1.5 pound per mile
For extra 6 km, extra cost = 1.5 * 6 km = 9 pound
Find out more on linear equation at: https://brainly.com/question/2972832
Question 2 of 10
In the diagram below, BD is parallel to XY. What is the value of x?
*
A. 120
B. 60
ОООО
D. 40
Answer:
Step-by-step explanation:
It’s 60 baka
Simplify -|-5 + 2|.
7
3
-7
-3
Answer:
-3
Step-by-step explanation:
-|-5+2|
= -|-3|
= - 3
Hope it helps
Answer:
-3
Step-by-step explanation:
-|-5+2|
-|-3| absolute value of -3 is 3
-3
(;-;) I NEED HELP W THIS PLSSS HELP WILL MARK BRAINLIEST
Answer:
With respect to angle A, a is opposite, b is adjacent, c is the hypotenuse
With respect to angle B, b is opposite, a adjacent, and c is the hypotenuse.
Step-by-step explaination:
To find the opposite side of an angle of a right triangle - look at the side that is directly across from that angle. For example, angle A shows that the side directly across from it is side a.
To find the adjacent side of an angle of a right triangle - look at the side that is right next to it and connected to the 90 degree angle. For example, angle B shows that the side that is next to it and connected to the 90 degree angle is side b.
The hypotenuse will always be the longest side opposite the 90 degree angle.
42 + (-31) + (-12) =
Answer:
-1
Step-by-step explanation:
I used a calculator :)
The answer is -1
Because if you do all the math you will find that the answer is -1.
Sled dogs have thick fur to keep them warm. But they can overheat while running if it’s too warm outside. The maximum temperature the dogs can run in is 71º higher than their minimum of -71ºF. What is the maximum temperature that they can run in?
Answer:
-71 + 71 =0 so 0°
Step-by-step explanation:
I hate the fact that it needs to be 20 letters
If the slope of a line is 7/10, how much vertical change will be present for a
horizontal change of 63 ft?
If the slope of the line is 7 /10, the vertical change that will be present for a horizontal change of 63 ft is 44.1 ft
What is a slope?The slope of a line is the measure of its steepness. Therefore,
slope = change in y(vertical) / change in x(horizontal)
slope = y₂ - y₁ / x₂ - x₁
slope = 7 / 10
Therefore,
7 / 10 = y / 63
cross multiply
441 = 10y
divide both sides by 10
y = 441 / 10
y = 44.1 ft
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Solve the two-step equation and identify the steps.
1.4x + 6.1 = –7.9
1. The first step is to
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answer:
x = -10
Step-by-step explanation:
1.4x = -7.9 -6.1
1.4x = -14
x = -14÷1.4
x= -10
Answer:
x = -10
Step-by-step explanation: