A local car dealership currently has 36 used GM, Food, and Toyota vehicles on the lot that are cars or turcks. Inventory shows the following: 26 vehicles are cars, 10 are trucks, 11 vehicles are GM's, 15 vehicles are Fords. Three vehicles are Toyota trucks and 14 vehicles are Ford cars. What is the probability that a randomly selected vehicle is either a Ford or a car

Answers

Answer 1

Answer:

P (F or C)  = 27/36= 0.75

Step-by-step explanation:

There are 36 vehicles in all.

There are total 26 cars.

There are total Ford vehicles which are 15 in number out of which 14 are cars. The results can be summarized as follows.

                           Cars                   Trucks            Total Vehicles

Ford                           14                           1                      15

Toyota                      7                              3                     10

Gm                            5                              6                     11                    

Total                        26                            10                     36      

As the events are composite

The probability of randomly selecting vehicle is either a Ford or a car is given by  P (F or C) = P(F) + P(c)- P(FC)

where P(F) is the probability of the Ford car and P (C) is the probability of the car.

P(F)= 15/ 36

P(C)= 26/36

P(FC)= 14/36

This is the additive rule applied for composite events.

P (F or C) = P(F) + P(c)- P(FC)

             = 15/36 + 26/36- 14/36

                = 27/36=0.75


Related Questions

Which numbers between 10 and 20 do not appear in the table at all?
And also why don’t they appear?

Answers

Answer:

11, 13, 17, 19,

Step-by-step explanation:

dunno

Can somebody solve this?

Answers

Answer:4

Step-by-step explanation:2+2=4

10x+2
To find the perimeter, you would add all of the sides up.
3x+2+3x+2+2x-1+2x-1
=10x+2

Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.

Answers

Answer: 228 yds^2

Step-by-step explanation:

Surface Area=  2 (L x W) + (L x H) + (W x H)

2×(6×4 + 6×9 + 4×9) = 228

Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?

Answers

Answer:

secured loan

Step-by-step explanation:

Answer: Here

Step-by-step explanation:

You Go

A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

4cm, 11cm, 21cm

Step-by-step explanation:

4(x + 1)(x + 11)

4(x ^ 2 + 12x + 44)

x ^ 2 + 12x + 11 = 231

x ^ 2 + 12x + 11 - 231 = 0

x ^ 2 + 12x - 220 = 0

(x - 10)(x + 22) = 0

x = 10 and x = - 22

4cm , 11cm , 21cm

Hope it helps you xx

Answer:

Dimensions = 4cm, 11cm and 21 cm.

Step-by-step explanation:

x2 + 12x - 220 = 0

x2 + 22x - 10x - 220

= x(x+22) -10(x+22)

=(x+22)(x-10)

x + 22= 0

-22       -22

x = -22 (x cant be negative so this is wrong)

x-10 = 0

+10      +10

x = 10 (positive so its correct)

4 , (10+1), (10+11)

= 4, 11, 21 cm.

CONVERT THE PERCENTAGES FRACTION 120%​

Answers

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation:

Its 6/5..

1 = 20%

Please give brainliest

Two ride-sharing companies are competing for business in a large city. To help customers compare the companies, a data scientist selects a random sample of 40 completed rides from each of the two companies. From each sample, he computes the mean amount of time that passed between when the request for a pickup was placed and when the customer was picked up. Company A took, on average, 18 minutes to pick up customers with a standard deviation of 4 minutes. Company B took, on average, 12 minutes to pick up customers with a standard deviation of 10 minutes. (a) Construct and interpret a 98% confidence interval for the difference in mean response time for these two ride-sharing companies.

Answers

Solution :

Given :

[tex]$n_1 = n_2 = 40$[/tex]

[tex]$\overline X_1 = 18$[/tex]

[tex]$S_1 = 4$[/tex]

[tex]$\overline X_2 = 12$[/tex]

[tex]$S_2 =10$[/tex]

So we want to test :

[tex]$H_0 : \mu_1=\mu_2 $[/tex]   vs [tex]$H_1 : \mu_1 \neq \mu_2 $[/tex]

a). For 98% confidence interval :

[tex]$=\left((\overline X_1 - \overline X_2) \pm Tn_1+n_2-2, \alpha / 2 \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}\right)$[/tex]

[tex]$=\left((18-12) \pm 2.375 \sqrt{\frac{4^2}{40}+\frac{10^2}{40}}\right)$[/tex]

[tex]$=(6 \pm 4.0445)$[/tex]

= (1.956, 10.045)

If the points in the table lie on a parabola, write the equation whose graph is the parabola.

Answers

Answer:

what? i need a table to answer

Step-by-step explanation:

A chocolate shop sells chocolates with a variety of different fillings.

hazelnut 68
caramel 8
orange 8

What is the probability that a randomly selected chocolate will have caramel filling?

Write your answer as a fraction or whole number.

Answers

Answer:

There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.

Step-by-step explanation:

To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:

68 hazelnut + 8 caramel + 8 orange = 84 chocolates.

The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:

[tex]\frac{8}{84}[/tex]

Now that can be simplified down. I divided the top and bottom both by 4 to get  [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.

What is the area of the rectangle below?
9 feet
7 feet

Answers

Answer:

63 feet ^2

Step-by-step explanation:

Well assuming your presented with length and width.

9*7=63

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2​

Answers

Y = 4x*e^(-x) , y=0, x=3 , rotation about y-axis
Graph or sketch the function.
The volumeelement is a cylinder with radius x height y and thickness dx.
Integrate from x=0 to x=3
V = 2 π ∫x*y dx =
2 π ∫x*4x*e^(-x) dx
8 π ∫x²*e^(-x) dx ,
Integrate by part: ∫e^(-x)*x² dx , let u’ = e^(-x) => u = -e^(-x) and v = x² => v’ = 2x
∫e^(-x)*x² dx = -e^(-x)*x² + ∫e^(-x)*2x dx
Integrate by part: ∫e^(-x)*2x dx = -e^(-x)*2x + ∫e^(-x)*2 dx
∫2e^(-x) dx = -2e^(-x).
If we wrap up the above we get :
V = 8 π*[-e^(-x)*(x²+2x+2)]
V = 8 π*[e⁻³(9+6+2) – (-e⁰ *2)]
V = 8 π*[17*e⁻³+ 2] = 28.99363 v.u.

Y=1/4 x + 2 which is the equation of a line parallel to the line with the equation

Answers

The answer is y=1/4x

Need the answer to x and y !

Answers

Answer:

x=5, y=3

Step-by-step explanation:

7x-11=24: 7x=35: x=5

3(5)+9=8x: 24=8x: x=3

1 Which expression can be used to find the volume, in cubic centimeters, of the solid shown? Choose all that apply. 3 cm 4 cm 7 cm 5 cm 9 cm A (3 X 4 X 5) + (3 X 5 X 9) B (3 X 5 X 6) + (5 X 4 X 3) C (9 X 5 X 3) + (3 X 5 X 7) D (7 X 5 X 3) + (6 X 5 X 3) E (3 X4 X 7) + (6 X 5 X 4)​

Answers

Answer:

I think its D

Step-by-step explanation:

Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________

Answers

Answer:

1/4

Step-by-step explanation:

I could be wrong but that's what I would put

Answer:

P(next to be rose) = 1/4

Explanation:

in general when she picked 12 flowers, 3 were roses

3/12 = 1/4

What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?

Answers

Answer: 37 1/3 cm

Step-by-step explanation:

Area = Length times width

4 2/3 times 8 = 37 1/3

What is the answer please help no links please help

Answers

The correct answer would be 380

The scatter plot shows the heights ( in inches) and the shoe sizes of eight men. What is the height of the man whose shoe size is 12?
NO LINKS!!!​

Answers

Answer: 72 inches

Step-by-step explanation:

Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?

Choose all that apply:
10
8.4
9.6
6
7.2
5

PLEASE HELP I Got 5 minutes​

Answers

Answer:

10

8.4

5

Step-by-step explanation:

Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20

Answers

Answer:

2.50 (b)

Step-by-step explanation:

30 divided by 12 is 2.5 which is equal to 2.50 :)

Answer:

b) 2.50

Step-by-step explanation:

$40 - $10 = $30 spent on popcorn

$30/12 = $2.50 per bag

Pls help me complete this

Answers

Answer:

wow thats alot of "stuff"

Step-by-step explanation:

Answer:

For the first, top one, it is Outcome

For the second one, it is Event

For the third one, it is Trial

For the fourth one, it is Experimental Probability

For the fifth one, it is Probability

Expand the expression -11(30 – 2d) using the Distributive Property.

Answers

Answer: -330 + 22d

Step-by-step explanation:

Apply distributive law: a(b-c)=ab-ac

Answer:

[tex]-330+22d[/tex], or the other way around

Step-by-step explanation:

[tex]-11*30=-330[/tex]

[tex]-11*-2d=22d[/tex]

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

Find the volume of the cone below. Leave your answer in terms of pi.

Answers

Answer:

ahaha it's B my guy

Step-by-step explanation:

peace out

I BEG FOR MY LIFE EZ PLS

{{{{{{{PICTURE PROVIDED}}}}}}}}}

Answers

Answer:

B and D

Step-by-step explanation:

This is because for B you do 8x9x1 which is basically 8x9 which is 72. Then, for D you do 12x3x2. Do 3x2 first and you get 6. Then, do 6x12 which is also 72. So the correct answers that will give you the volume of 72 units cube is B and D. Hope this helps!

Question 14
Find the volume of this sphere. Round to the nearest hundredth.
6.5 cm
cm cubed

Answers

Answer:

1150.35

Step-by-step explanation:

Please help!!! Also if you could show work I need it!

Answers

The perimeter is 18+18+20+20=76. 18 square root 2 /2= 12.727. Hypotenuse or triangle is 18 + 12.727+12.727=43.455. 76.18+43.455=119.635. The area is 18x20=360. (12.727x12.727)/2= 161.9765. 161.9765+360= 521.9765.
For the hypotenuse since it is a 45,45,90 triangle the two side lengths are are same so it is x square root 2 divide by 2. Hope that helps!!

please help me .....


What is the average speed (rate) if you traveled 83.6miles in 3.8 hours?​

Answers

Answer:

22 mph

Step-by-step explanation:

83.6 miles

3.8 hours

83.6/3.8 = 22 mph

WILL GIVE BRAINLIEST IF SOLVED IN 10 MINS : Solve each equation with the quadratic :

Answers

Answer:

5. x = -1 or x = -3

6. b = -2 or b = 6

7. n = 5 or n = 4

Step-by-step explanation:

5. x² + 4x + 3 = 0

Factorize

x² + 3x + x + 3 = 0

x(x + 3) +1(x + 3) = 0

(x + 1)(x + 3) = 0

Set each of the factors equal to zero and solve for x

x + 1 = 0 or x + 3 = 0

x = -1 or x = -3

6. b² - 4b - 14 = -2

Put all terms on one side of the equation leaving zero on one side

b² - 4b - 14 + 2 = 0

b² - 4b - 12 = 0

Factorize

b² - 6b + 2b - 12 = 0

b(b - 6) +2(b - 6) = 0

(b + 2)(b - 6) = 0

Set each of the factors equal to zero and solve for b

b + 2 = 0 or b - 6 = 0

b = -2 or b = 6

7. n² = 9n - 20

Put all terms on one side of the equation leaving zero on one side

n² - 9n + 20 = 0

n² - 5n - 4n + 20 = 0

n(n - 5) -4(n - 5) = 0

(n - 5)(n - 4) = 0

Set each of the factors equal to zero and solve for b

n - 5 = 0 or n - 4 = 0

n = 5 or n = 4

Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no

Answers

Answer:

Yes

Step-by-step explanation:

16x+15y=-8

16(-8)+15(8)=-8

-8=-8

Hope that helps :)

Answer:

True

Step-by-step explanation:

The left side  − 8  is equal to the right side  − 8 , which means that the given statement is always true.

Other Questions
How do yeast cells get the nutrients that keep them alive? Which statement is true?4O A. As the value of a positive numberincreases, the absolute value ofthe number decreases.O B. As the value of a positive numberdecreases, the absolute value ofthe number increases.O C. As the value of a negative numberincreases, the absolute value ofthe number decreases.5O D. As the value of a negative numberdecreases, the absolute value ofthe number decreases. What do you think is the most significant theme that connects artwork in the postmodern art world? Can someone help me please? Will give brainliest Find the area of this triangle.Round to the nearest tenth.8 m6212 m[?] m2 Which of these types of muscles are striated? Check all of the boxes that apply.1) skeletal muscles2) cardiac muscles3) smooth muscles Find the area of the figure. Which of the following correctly describes the relationship between current and voltage as the voltage of a battery increases. Remember that Ohm's Lawstates: I = xAs voltage increases, current decreases because current and voltage are inversely proportional.o As voltage increases, current decreases because current and voltage are directly proportionalAs voltage increases, current increases because current and voltage are directly proportional Work out5.2% of 628.55kmGive your answer rounded to 2 DP. A spinner has many equal sections of different colors. The probability that the spinner will not land on ablue section is 34%. What is the probability that the spinner will land on a blue section?A can't be determinedB 34%C 66%D 68% i need help with these 2 questions. A sandwich shop sells sandwiches for $3.50 each, including tax. The shop received a total of $80.50 from the sales of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, x, sold by the sandwich shop that afternoon? A. 3.50 + x = 80.50 C. 3.50x = 80.50 B. 3.50 + 80.50 = x D. 3.50 x = 80.50 Does anyone know this please help What is the equation of the graph below?y = sec(x 4)y = sec(x) 4y = sec(x + 4) + 4y = sec(x + 4) 4 Cheryl's making trail mix for a friend she always uses three cups of almonds for every four cups of cashews if Cheryl wants to make a larger batch of trail mix which of the following has the same ratio of almonds cashewsA. 9 cups of almonds for every 20 cups of cashewsB. 6 cups of almonds for every 12 cups of cashewsC. 9 cup of almonds for every 12 cups of cashewsD. 12 cups of almonds for every 20 cups of cashews Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 years, how much money will be in her account? Where do consumers get most of their nitrogen? When formatting a presentation, which considerations should you keep in mind? Select four choices. The layout is appealing and simple. The thesis statement does not need to be included. Fonts and colors are light. The slides are organized in a logical sequence. Any labels or captions are short and clear. HURRY I HAVE A TIME LIMIT! Humans, cats, whales, and bats all have similar arm bones. What piece of evidence for common ancestry does this describe?-homology-embryology -fossil record-amino acids sequences Please answer I will give you brainliest