The probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, the table given is:
Entries 4-wheel drive No 4-wheel drive Total
Third Row Seats 18 12 30
No Third Row Seats 7 28 35
Total 25 40 65
Let we take
A = event that a randomly selected car has no-4 wheel drive
B = event that a randomly selected car has third row seats
The total ways a car can be selected = 65 = n(S)
Total ways A can happen = n(A) = 40 (from the table).
Similarly, n(B) = 30
P(A) = n(A)/n(S) = 40/65
P(B) = n(B)/n(S) = 30/65
P(A∩B) = n(A∩B)/n(S) = 12/65
As by chain rule, we have:
P(A∩B) = P(A)P(B|A) = P(B)P(A|B)
We need P( A randomly selected car has three seats given that the selected car is with no 4-wheel drive)
which is symbolically P( B | A)
Thus, we use: P(A∩B) = P(A)P(B|A)
or
[tex]12/65 = (30/65)(P(B|A))\\\dfrac{12/65}{30/65} = P(B|A)\\\\P(B|A) = \dfrac{12}{30} = \dfrac{2}{5} = 0.4[/tex]
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is given by: Option B: 0.4
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Answer:
b. 0.4
Step-by-step explanation:
took the test
Draw any ∆ ABC with ^B = 90°
Answer:
In ∆ABC, ∆CBA, ∆ACB
^B = 90°
Find the area of each triangle 10in. 9in.
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
x -4 ifx>4
|
Rsm question
Answer:
x>4
d'ou: x-4>4-4
x-4>0 voilà bonnne journée
Step-by-step explanation:
How many 1 1/2 are in 6 hexagons
Answer:3
Step-by-step explanation:I’m the best
f(x) = x2. What is g(x)?
Answer:
D
Step-by-step explanation:
1/2 * x^2 , x =2
1/2 * 4 = 2
(2,2) is a point confirmed
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
1
6
km
13
wo
1
15 kr
6
13
km
6
1
km
13
1
1 1 2 3 4
6
km
13
|
kilometers
Answer:
5 11/13 km
Step-by-step explanation:
4 ( 1 6/13)
4× 19/13
= 5 11/13
Math-Convert the following units.Write your answer on a separate sheet of ppaper
1.230.000 sq cm=_____sq m
2.400 000 sq cm= ____ sq m
3.60 000 sq cm= ____ sq m
4.15 sq m=______sq cm
5.120 sq m=______ sq cm
6. 16 sq m = ______ sq cm
The conversion of area units results in:
230 000 cm²= 23 m²400 000 cm²= 40 m²60 000 cm²= 6 m²15 m²= 150 000 cm²120 m²= 1 200 000 cm²16 m² = 160 000 cm²Unit Conversions for Area
For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area, each unit is 100 times larger than the previous. See below the relationship between the meter and the other units
1km²=1 000 000 m²=[tex]10^6[/tex] m²
1 hm²= 10 000 m²= [tex]10^4[/tex] m²
1 dam²=100 m²= 10² m²
1 m² =1 m²= 1 m²
1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²
1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²
Now, you have the necessary information for converting the units.
230.000 sq cm=_____sq m[tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]
400.000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]
60000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]
15 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]
120 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]
16 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]
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Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
8
Step-by-step explanation:
What is the area of triangle ABC?
Answer:
Step-by-step explanation:
The points represent the vertices of a polygon. Use a matrix to find the coordinates of the image after the given transformation. Graph the preimage and the image.
A(2, 3), B(–1, –4), and C(2, –2); a translation 1 unit left and 4 units down. 30 points
The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)
What is transformation?
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.
Given the points A(2, 3), B(–1, –4), and C(2, –2), the translation 1 unit left and 4 units down gives:
A'(1, -1), B'(-2, -8) and C'(1, -6)
The translation of points A(2, 3), B(–1, –4), and C(2, –2), 1 unit left and 4 units down gives A'(1, -1), B'(-2, -8) and C'(1, -6)
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Liam buys three identical plastic
containers that are right rectangular
prisms. one face of each container
measures 4 and 1/2 in. by 2 in. the total
volume of the three containers is
135 in.. how many of these containers
can liam set on a shelf that is 24 in. long
with the 4and 1/2in-by-2 in. faces touching?
The number of rectangular prism container that would be set on the shelf is: 4.
What is the Volume of a Rectangular Prism?Volume of rectangular prism = length × width ×height
Given the following:
Volume of three containers = 135 in.³Volume of each rectangular prism container = 135/3 = 45 in.³One face = width × height = 4.5 × 2 = 9 in.Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
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Help!!!!!!!!!!!!!!!!!!!!!!
Answer:
$5.80
Step-by-step explanation:
butterscotch + milk
butterscotch:
$1/5 = $0.20 x 4 = $0.80
milk:
$1 x 5 = $5
$5 + $0.80 = $5.80
44 friends evenly divided up an nnn-slice pizza. One of the friends, Harris, ate 111 fewer slice than he received.
How many slices of pizza did Harris eat
Answer:
(n/4)-1
Step-by-step explanation:
How many feet are in 1 yard?
Answer:
Step-by-step explanation:
there are 3 feet in a yard
1 foot = 12 inches
3 feet = 36 inches
36/12 = 3 feet
find the 10th term of the geometric sequence whose common ratio is 2/3 and whose first term is 3.
Answer:
[tex]\frac{512}{6561}[/tex]
Step-by-step explanation:
1) if according to the condition a₁=3 and r=2/3, then a₁₀ can be calculated as:
a₁₀=a₁*r⁹;
2) according to the rule above:
a₁₀=3*(2/3)⁹=512*3/(6561*3)=512/6561.
HURRY NEED THIS ASAP. A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro then randomly selects a ball, not knowing the type of ball, and hits it. The distance the ball travels is then measured. He continues this procedure until all 80 of the golf balls are hit. At the end of the session, the mean distance traveled for the new type of golf ball was found to the significantly greater than the mean distance for the original-style golf ball.
Which of the following is a valid conclusion?
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; and a conclusion cannot be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
The conclusion based on the mean of the ball and the distance traveled is D. Inferences cannot be made about all the golf balls produced on that day.
How to deduce the inference?From the information given, a golf pro randomly selects a ball, not knowing the type of ball, hits it and end of the session, the mean distance traveled for the new type of golf ball was found to be greater than the mean distance for the original-style golf ball.
In this case, inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Learn more about mean on:
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Answer:
should be A. Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Step-by-step explanation:
correct for edge, nov. 2022
math makes me mad mad‼️‼️
695 km/h
explanation
3475/5 = 695
hope it helps...!!!
Use induction to prove that 2 divides n^2 n whenever n is a positive integer
Answer:
that's wrong
Step-by-step explanation:
for n = 1
n^(2n)=1²=1
and 2 doesnt devide 1
151/24 - 8.75
i dont know how to turn it into a decimal.
Answer:
-2.46
Step-by-step explanation:
151/24=6.29
6.29-8.75=-2.46
Answer:
-2.45833333333
Step-by-step explanation:
151 divided by 24= 6.29166666667
6.29166666667-8.75=-2.45833333333
2dp=2.46
3.) Jan wants a bunch of balloons for her birthday party. She chooses 10 red, 12 blue, 8 green and 9 yellow balloons. Her mom says she can only have 60% of them. Jan doesn't care what colors she has. How many balloons does she end up with?
Answer:
Lets break this down
The question asks for “How many balloons does she end up with”?
A important fact is that Jan doesn’t care what color she has.
So using this we can disregard the colors.
She is only allowed to have 60 percent of all the balloons she choosed.
So lets add them.
10 + 12 +8 + 9 = 39
She chose 39 balloons in total.
Since she doesn’t care about the color we can jsut find 60 percent of 39.
In order to find this we just multiply 60% of 39.
Percentage means out of a hundred so 60 percent is 60 out of a hundred or in this age 60/100.
Now 60/100 is basically 0.6
So we multiply 39 by 0.6
23.4 is the answer.
Now you can’t have .4 of a balloon so we jsut round down for any decimal in this case.
23.4 is 23 now.
So 23 balloons is the amount of balloons Jan ends up with
Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3
Answer:
r = ⅙
⅙ × ⅙ = 0.03
0.03 × 3 = 0.09
14.01 or 13 or 10 or 107 or 15 or 20 or 14
Answer:
14.01 and 107
Step-by-step explanation:
First let’s review what all the crodile mouths mean:
< = # is less than the # on the right
> = # is more than the # on the right
≤ = # less than or equal to # on the right
≥ = # is greater than or equal to # on right
Equation:
y ≥ 14
To make this true on the values that are greater than or equal to 14 can go.
This means that these values would be correct out of the options:
14.01
107
Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.
The measure of an angle is seventeen times the measure of its supplementary angle. What is the measure of each angle?
Answer:
The measure of each angle will be 10° and 170°.
Step-by-step explanation:
A supplementary angle refers to an angle that has the sum to be equal to 180°.
Let the small angle be represented by x
Therefore, the big angle will be: = 17 × x = 17x
Therefore, the value of both angles will be:
x + 17x = 180
18x = 180
Divide both side by 18
18x/18 = 180/18
x = 10
Therefore, the bigger angle will be:
17x = 17 × 10 = 170
Therefore, the angles are 10° and 170°
Answer:
10 and 170 degrees.
Step-by-step explanation:
If the angle is x degrees then its supplementary angle = 180-x degrees.
So x + 17x = 180
18x = 180
x = 10 degrees.
Angle FGH is a right angle.
The measure of angle JGH is 50.
The measure of angle FGJ is
What is the value of x?
Answer:
since its a triangle then angles have to be 90 (the right angle) and 50 (which is given)
180-90-50 = 40
Answer = 40
Step-by-step explanation:
Line c passes through points (9, 9) and (3, 2). Line d is parallel to line c. What is the slope of line d?
Step-by-step explanation:
we have to find gradient.formula for gradient:[tex] \frac{y2 - y1}{x2 - x1} [/tex]x1 = 9y1 = 9x2= 3y2= 28.
[tex] \frac{9 - 2}{3 - 9} [/tex]
[tex] \frac{7}{ - 6} [/tex]
= -7/6
Help I have to put it in simplest exponential form I don't know the answer
Answer:
Step-by-step explanation:
In exponent multiplication, if bases are same, add the exponents.
[tex]a^{m}*a^{n}=a^{m+n}\\\\\\(-5)^{3}*13^{-2}*(-5)*13^{9}= (-5)^{(3+1)}*13^{(-2+9)}\\\\\\= (-5)^{4}*13^{7}[/tex]
which equation can be used to describe the relationship between x and y shown in the table?
Answer:
y = 3x + 9
Step-by-step explanation:
y = mx + b
As the values of x increase by 1, the values of y increase by 3.
That means the slope, m, is 3.
m = 3
At x = 0, y = 9. That means the y-intercept, b, is 9.
b = 9
y = mx + b
y = 3x + 9
PLEASE HELP! DUE TODAY!! TY!:)
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.
A) Write and solve an equation for x. Show your work.
B) Write and solve an equation to find the measure of angle D. Show your work and label your answer.
m∠D=
C) Write the measure of each of the other angles of the quadrilateral. Don’t forget to label your answers.
m∠A=
m∠B=
m∠C=
Answer:
Step-by-step explanation:
Will give BRAINLIEST!! Write a polynomial and show all the steps you would take to factor this polynomial completely. Please explain each step thoroughly.
I am not accepting links. Thank you:)
Step-by-step explanation:
Consider this polynomial,
[tex]8 {x}^{2} + 2x - 3[/tex]
First, I do the AC memethod. To find my two numbers,
That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C
And that will also add to 2, my middle term.
So using that
[tex]8 \times - 3 = - 24[/tex]
So let find factors of-24:
Factors can be positve or negative
The factors of 24 are : 1,2,3,4,6 8,12,24.
So which one of these add up to 2.
[tex]6 + ( - 4) = 2[/tex]
and
[tex]6 \times - 4 = - 24[/tex]
So six and negative four is our numbers.
Now, let set up our binomials
Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.
Disclaimer: The placement of these numbers doesn't matter.
So we have
[tex]8 {x}^{2} + 6x - 4x - 3[/tex]
Step 2: Group the first two terms and last two terms
[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]
Factors the first group by finding the GCF.
x is the greatest common variable, and 2 is the gcf so we have
[tex]2x(4x + 3) + ( - 4x - 3)[/tex]
Next, factor the next group by -1.
[tex]2x(4x + 3) - 1(4x + 3)[/tex]
Combine the outside factors.
[tex](2x - 1)(4x + 3)[/tex]
So those are the factors.
Zachary invested $130 in an account paying an interest
rate of 3.6% compounded daily. Assuming no deposits
or withdrawals are made, how much money would be
in the account after 11 years?
Answer:
i don't know lol
Step-by-step explanation:
it would be better to guess
Answer:193
Step-by-step explanation:
193.15923933 and then round to 193