1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexgriva [62]
3 years ago
15

Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

l buyers request automatic transmission, 82% of all buyers request built-in GPS, and 77% of all buyers request both automatic transmission and built-in GPS. Hint: It may be useful to draw Venn diagrams for these. What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS
Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that P(A) = 0.9

82% of all buyers request built-in GPS

This means that P(B) = 0.82

77% of all buyers request both automatic transmission and built-in GPS.

This means that P(A \cap B) = 0.77

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

You might be interested in
What 4 coins equal 90¢
N76 [4]

Answer:

half dollar, quarter, dime and nickel

Step-by-step explanation:

When you sum it up it will give you 90 cents.

3 0
3 years ago
Read 2 more answers
What is the value of x?<br> 68<br> 4x + 12<br> 17<br> 15<br> 32<br> 8
Marianna [84]

Answer:

k12

Step-by-step explanation:

4 0
3 years ago
the volume of a gas varies inversely as the pressure upon it. if the volume of the gas is 160 cubic centimeters at a pressure of
marin [14]
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:

V α 1/P

To change it to an equality, we introduce a proportionality constant, k. We do as follows:

V = k/P

So, to determine what is asked, we need to first calculate for the value of k.

V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280

Thus, at P = 87 cmHg 
V = 17280 / 87 
V = 198.62 m^3
4 0
3 years ago
In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
3 years ago
John wishes to pay off his car loan of $4,626 in 18 months. How much will his monthly payment be assuming he pays the same amoun
nydimaria [60]

Answer: $257 per month

Explanation:

Pay = monthly payment

Set the total cost equal to number of months times payment per month (which you would leave as a variable because that’s what you’re solving for).

4,626 = 18P

Divide both sides by 18 because you’re trying to isolate the P.

4,626 = 18P —-> 257 = Pr

This leaves you with an evenly split number of 257.

3 0
3 years ago
Other questions:
  • You draw a line on a paper. Using your pencil, but without touching that line again, can you make the line longer?
    13·1 answer
  • An equation for the line graphed is?
    7·2 answers
  • State which is greater (6-8)x10 or 6-(8x10)
    6·1 answer
  • Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their envir
    9·1 answer
  • Tirzah wants to put a fence around her garden. She has 22 yards of fence material. Does she have enough to go all the way around
    8·1 answer
  • How to solve this!! Please!
    15·1 answer
  • AB=10,BC=6. What is AC
    15·1 answer
  • Plz help me with these 2 problems
    14·2 answers
  • 4x + 2 = 2x - 20 what is x​
    9·2 answers
  • a protractors is used on an angle one ray of the angle is 46 degrees and the other way is a 95 degrees what is the measure of th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!