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
i need help on this and a few more i have been busy lately
Answer:
ok so we have to make it so we can get rid of one of the varibles by adding or subtracting
so lets multiply the first one by 4
120x+16y=4160
minus the second one so
108x=2160
divide by 108
x=20
then we just plug in
12(20)+16y=2000
240+16y=2000
-240
16y=1760
divide by 16
y=110
(20,110)
Hope This Helps!!!
For a project in her Geometry class, Naomi uses a mirror on the ground to measure
the height of her school building. She walks a distance of 12.25 meters from the
school, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.7 meters to the other side of the mirror, until she can see the top of
the school clearly marked in the X. Her partner measures the distance from her eyes
to the ground to be 1.15 meters. How tall is the school? Round your answer to the
nearest hundredth of a meter.
Answer:
8.28
Step-by-step explanation:
we can express this question as
12.25/1.7=x/1.15
this can be simplified to
x=8.28
The height of Naomi's school building is 8.29 meters
Concept of similar triangles:
Two triangles are similar if their corresponding angles are equal and their corresponding sides are within the same ratio (or proportion). Similar triangles will have the same shape, but not necessarily the same size.
In the given question and attached figure we have,
BC = 12.25 metersCD = 1.7 metersDE = 1.15 metersNow we have to find the height(AB) of the building,
By the properties of similar triangles, we can write,
AB / BC = DE / CD
Putting all the values we get,
AB / 12.25 = 1.15 / 1.7
Simplifying we get,
AB = (1.15 / 1.7) × 12.25
By further simplifying,
AB = 8.29 meters
Therefore, the height of Naomi's school building is 8.29 meters.
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Meteorologists look for weather trends across US states in the same geographical region. Kentucky and Illinois share a border. The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7. The average annual temperatures (°F) from 1991 to 2000 for Illinois were 53.7, 51.9, 50.9, 51.8, 51.4, 49.9, 50.8, 55.0, 53.3, and 52.0. Use the statistics calculator to determine the measures of center for Kentucky.
Kentucky mean =
Kentucky median =
Illinois mean = 52.07
Illinois median = 51.85
Both measures of center for Kentucky are
those of Illinois.
Answer:
the median is 55.6
Step-by-step explanation:
The average annual temperatures (°F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
We have to evaluate the measures of center.
Firstly, we will calculate the mean.
Mean = (Sum of all the observations)/ (Total number of observations)
Mean =
=
= 55.62
Now, we will calculate mode.
Mode is a statistical term that refers to the most frequently occurring number found in a set of numbers.
Consider the data 57.5, 55.1, 52.2, 55.6, 55.6, 54.4, 54.5, 58.3, 57.3, and 55.7.
Mode = 55.6
Now, we will calculate the median.
Firstly, we will arrange in the ascending order.
52.2, 54.4, 54.4,55.1 ,55.6, 55.6, 55.7, 57.3, 57.5, 58.3
Since there are 10 terms.
Median = th observation
Median = 5th observation.
Since, the 5th observation is 55.6.
Therefore, the median is 55.6
Lucid can walk about 3 4/5 miles each hour. about how far can she walk in 2 hours and 45 minutes
Answer:
9.31
Step-by-step explanation:
Distance = 3 ⅘ x 2.45
3 ⅘ = 3.8
3.8 x 2.45 = 9.31
NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!
Solve nine times two thirds.
Leave your answer as an improper fraction.
eleven twenty sevenths
eighteen twenty sevenths
eleven thirds
eighteen thirds
eighteen thirds
two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]
[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]
[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]
[tex]\sf \rightarrow \dfrac{18}{3}[/tex] [ also refereed as eighteen thirds ]
Answer:
[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]
↓ Second problem
[tex]11/27\\18/27\\11/3\\18/3[/tex]
Hope it helps, be great!
у
6
2 Look at the coordinate plane at the right.
Choose True or False for each statement about the points in the
coordinate plane.
5
4
L
a.
3
Point J and point Khave the same
y-coordinate.
True
False
2.
1
K
b. Point K and point L have the same
x-coordinate.
True
False
O
► X
6
1
2
3
4
5
c. Point J and point L are the same
distance up from the origin.
True
False
True
False
d. The y-coordinate of point L is 5.
e.
Point is the nearest point to the
right of the origin.
True
False
Answer:
A. False
B. True
C. False
D. True
E. False
A student wants to learn how to spell 200 words on a list. The student learned how to spell the first 25 words on the list at a rate of 5 words per day. At this rate, how many days will it take for the student to learn how to spell the remaining words on the list
A. 14
B. 15
C. 35
D. 45
Equation in slope intercept form
y=mx+by=5x+25Now
5x+25=2005x=175x=175/5x=35If A=615.44 ft sq, what is the radius
I think the radius would be 13.9 ft
Kalel says that 24 divided by 5 equals 36 divided by 8 because both are "4R4". Show his mistake using decimal division.
Answer: 24/5=4.8 36/8=4.5
Step-by-step explanation: First, let's start off by dividing 24 by 5. We can turn this into 24.0 divided by 5 to make it a bit simpler. We know that 240 by 5 = 48, then since there is a decimal 1 digit to the left in 24.0, we apply that decimal 1 digit to the left in 48, making it 4.8! Now let's do 36 by 8. We can do what we did for problem 1 and turn 36 into 36.0, 360 by 8 = 45 and applying the same logic we used before, 360 turns into 36.0, and 45 turns into 4.5! Therefore, Kalel is wrong, and the two equation is not equal.
P.S. Using long division, Kalel is technically kind of right, but there's still that unaccounted for '4' that we still need to divide.
If one side of a square is 12 inches, what is the perimeter and area of the parallelogram?
Answer:
P = 48in
Step-by-step explanation:
P=4a=4·12=48in
16% of 250 is equal to 250% of 16. True or false
Answer:
TrueStep-by-step explanation:
16% of 250
250*16/100 = 40250% of 16
16*260/100 = 40Both outcomes are same so the answer is True
Let's check
16% of 250
0.16(250)40250% of 16
2.5(16)40Yes true
[tex]\left \{ {{x+4y=2} \atop {2x+5y=7}} \right.[/tex]
12) 26 in
17 in
13) 28 ft
20 ft
14) 27 mm
34 mm
Answer:
#12=442
#13=560
#14=918
Step-by-step explanation:
26x17=442
28x20=560
27x34=918
Answer:
Step-by-step explanation:
I will answer only a few
12.) the area of a triangle is half its base times its height
[tex]\frac{1}{2} *17 * 26[/tex]
= 17 * 13
= 221
13.) 1/2 * 20 * 28
= 10 * 28
=280 cm^2
the graph of the money jake earns while babysitting is shown below. put a scale on each axis that makes sense for this situation. explain why chose the scales you did.
Answer:
Hi uddin
Step-by-step explanation:
Do u remember me
I am the ghost of the uchiha i searched ur this question and found ur brainly thing
Find the surface area of the equilateral triangular prism below.
Answer:
Area of a triangle = bh/2
Area of a rectangle = bh
The area of the triangles are the same, the area of the rectangles are the same.
triangle: 9x8/2
72/2 = 36
Rectangle: 8x14=112
There are 2 triangles and 3 rectangles so,
2(36)+3(112)
72+336= 408 in²
Use the data below.
22, 16, 18, 14, 16, 34, 20
Mean:
Median:
Mode:
Range:
Step-by-step explanation:
mean = sum of all data points / number of data points
(22+16+18+14+16+34+20)/7 = 140/7 = 20
median is the number, where half of the data points are smaller, and the other half are larger.
first we need to sort the data points
14, 16, 16, 18, 20, 22, 34
median = 18
mode is the data point occurring most often.
mode = 16 (occurring 2 times, while the others occur only once).
range is the difference between the largest and the smallest data point.
range = 34 - 14 = 20
Jade is going out for pizza with her friend.For 60 dollars how many pizzas can she buy if each pizza costs 12 dollars
Answer:
jade can by 5 pizzas
Jasmine has four rectangular baking pans. Which of the pans has the greatest volume?
Pan D: 8 in. by 8 in by 2 1/2 in.
Pan A: 9 in. by 16 in by 1 1/2 in.
Pan C: 9 in. by 9 in by 2 in.
Pan B: 9 in. by 13 in by 1 in.
Answer:
16 11/2
Step-by-step explanation:
ezz
There is a population of 10,000 bacteria in a
colony. If the number of bacteria doubles every
260 hours, what will the population be 780
hours from now?
Answer:
80,000
Step-by-step explanation:
The population doubles every 260 hours. 260 goes into 780 three times.
10,000x2=20,000
20,000x2=40,000
40,000x2=80,000
can you guys answer this?
An isosceles right triangle has two congruent angles and a right angle
It is true that the base angle of an isosceles right triangle is 45 degrees
How to determine the base angle?From the question, we understand that:
Triangle type = isosceles right triangle
The sum of angles in a triangle is:
x + y + z = 180
Assume the triangle is right-angled at z.
So, we have;
z = 90
The equation becomes
x + y + 90 = 180
Subtract 90 from both sides
x + y = 90
The triangle is an isosceles triangle.
So, we have: x = y
The equation becomes
x + x = 90
2x = 90
Divide by 2
x = 45
Hence, it is true that the base angle of an isosceles right triangle is 45 degrees
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What is the estimated sum of 709 645 798 704 and 658?
Answer:
about 3600
Step-by-step explanation:
The length of a rectangle is 4 cm less than twice its width. The perimeter of the
rectangle is 58 cm. What are the dimensions of the rectangle?
Step-by-step explanation:
Let width be x
according to question
length = 2x-4
perimeter = 58
now,
perimeter = 2(length + width)
58 = 2(x+2x-4)
58 = 6x-8
6x = 66
x = 11
putting value of x in length
2x-4
= 2 X 11 -5
= 18
hence the dimensions of the rectangle is 18 and 11
(w+9)+3 write an expression equivalent
Answer:
[tex]\displaystyle 12 + w[/tex]
Explanation:
Just combine like-terms to arrive at your answer:
[tex]\displaystyle \boxed{12 + w} \Rightarrow [w + 9] + 3[/tex]
I am joyous to assist you at any time.
the dimensions of a rectangular dining room are 18 feet by 16 feet long if a scale factor 1/4 is used to make a scale model of the dining room what is the area of the dining room in the scale model.
calculate the sides of the rectangle in scale factor model
Length: 18 * 1/4 = 4.5 feet
Width: 16 * 1/4 = 4 feet
Rectangle area in scale factor model:
Length * Width
4.5 * 4
18 feet²
Answer:
Given dimensions of a rectangular dining table:
width = 18 ftlength = 16 ftIf a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:
[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]
[tex]=4.5 \textsf{ units}[/tex]
[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]
[tex]=4 \textsf{ units}[/tex]
Therefore, the scale model of the dining room will be 4.5 by 4 units.
L1S2
Area - Compound Shapes
Find the area of the shaded region in each figure. Round your answer to 2 decimal
places if required. (Use = 3.14)
PLEASE HELP I WILL MARK BRAINLIEST!
Answer:
just trust yourself
Step-by-step explanation:
gina wilson unit 8 right triangles&trignometry homework 2 help
Answer:
huh
Step-by-step explanation:
Please help me on all of these problems i am confused how they correlate
Answer:
Step-by-step explanation:
a) Area is multiplied by the square of the scale factor, so it is (3.1)^2 = 9.61 times larger.
b) Same logic, (1/6)^2 = 1/36
c) correct
d) 3
When the cpi is 185, an electric razor cost $57.81. what is the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent? a. $33.44 b. $31.25 c. $26.56 d. $6.88
The difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88
What is consumer price index?The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.
[tex]CPI_t[/tex] = consumer price index in current period[tex]C_t[/tex] = cost of market basket in current period[tex]C_0[/tex] = cost of market basket in base periodThen, we have:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]
For this case, we're given that:
In 1983, CPI of considered razor = 185, and price = $57.81In some other year, the CPI of considered razor = 207, and price = $ ?? (to find).Let the base price of the razor in some base period be [tex]C_0[/tex]
Then, for year 1983, we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\185= \dfrac{57.81}{C_0} \times 100\\\\C_0 \approx 31.248 \: \text{(in dollars)}[/tex]
Now for the year when CPI is 207, let the price of th razor be $x, then we get:
[tex]CPI_t = \dfrac{C_t}{C_0} \times 100\\\\207 \approx \dfrac{x}{31.248} \times 100\\\\x \approx 64.683 \: \text{(in dollars)}[/tex]
The difference between the two prices is:
[tex]d \approx 64.683 - 57.81 = 6.87 \approx 6.88\: \text{(in dollars)}[/tex]
Thus, the difference between the price of an electric razor in 1983 and the cost of an electric razor when the cpi is 207, to the nearest cent is given by: Option D: $6.88
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Answer:
D
Step-by-step explanation:
6 6/9 divided by 1 5/7
25
Which equation best represents the relationship between x and y in the graph?
Y
9
S
2
5
4
3
2
1
-2
3
Ay=-4-3
4
3
BY--x-3
c y = - 8x - 4
D y = - 3X -4
Cy
7X
Dy=-31
*
Answer:
-3/4 x -3
Step-by-step explanation:
Put all Answer choice on graph:
-3/4 x -3
-4/3 x - 3
-3/4 x -4
Base on the graphs below:
we can see that -3/4 x -3 is the best represents..
~Lenvy~