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White raven [17]
3 years ago
5

Imagine that 30% of all U.S. Households own a dog, P(A)=.3 and that 10% of U.S. households own a Honda vehicle, P(B)=.1. In addi

tion, you know that 60% of dog owners own a Honda, P(A|B)=.6. What is the probability of a household owning a Honda given that they are a dog owner?
Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0
P(A|B)= P(B and A) / P(A)

P(B and A) = .3 + .10 = .13 P(A)= .3

So,
P(A|B)= .13/.3

P(A|B)= 0.43333...
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I need help with easy math​
spin [16.1K]

Answer: x = -1 and y = 9

The two equations are:

-9x + 2y = 23

-4x -y = -3

Now find for x in the first equation...

-9x + 2y = 23

-9x = 23 - 2y

x = (23 - 2y)/-9

Now place this value of x in the second equation and find for y...

-4{(23-2y)/-9} - y = -3

-92 + 8y + 9y = -3 * -9

17y = 27 + 92

y = 119/17

y = 7

Now place the value of y in the first equation," -9x + 2y = 23 " and find x

-9x + 2*7 = 23

-9x + 14 = 23

-9x = 23-14

x = 9/-9

x = -1

There you go! Hope it helps

<h2>૮꒰ ˶• ༝ •˶꒱ა </h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊° </h2>

i shoot u >:(

<h2> </h2><h2>૮꒰ ˶> ༝ <˶꒱ა </h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°.~♡︎ </h2>

with love tho-

7 0
3 years ago
An angle measures 30° less than the measure of its supplementary angle. What is the measure of each angle?
xxMikexx [17]

Answer:

The measures of each would be:

105° and 75°

Step-by-step explanation:

Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.

So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.

∠1 = x

∠2 = x-30°

∠1 + ∠2 = 180°

So here we plug in our equations:

∠1 + ∠2 = 180°

x + x - 30° = 180°

2x - 30° = 180°

We solve for the x then:

Add 30° on both sides of the equation:

2x - 30° + 30° = 180° + 30°

2x = 210°

Divide both sides by 2:

2x/2 = 210°/2

x = 105°

∠1 = 105°

Now we solve for the second angle:

∠1 + ∠2 = 180°

105° + ∠2 = 180°

Subtract 105° from both sides of the equation:

105° + ∠2 - 105° = 180° - 105°

∠2 = 75°

7 0
4 years ago
What is 21/75 in simplest form
Tomtit [17]
7/25 Is 21/75 in simplest form since 7 is a prime number it can't go any further.
8 0
4 years ago
Read 2 more answers
3/4 of the 8th graders at kingston middle school went on the class trip. if 252 students went in the trip, how many 8th graders
Karo-lina-s [1.5K]

Answer:189 students are there

Step-by-step explanation:252 divided by 4 equals 63, 63 x 3 equals 189

6 0
3 years ago
What is the measure of all angles. HELP ASAP! Will someone answer this for me like right now. Thanks
mel-nik [20]

Answer:

∠ ABC = ∠ DBE = 65°

∠ ABD = ∠ CBE = 115°

Step-by-step explanation:

See the diagram attached to this question.

Now, ∠ ABC and ∠ DBE are two vertically opposite angles.

So, 3x + 38 = 5x + 20

⇒ 2x = 18

⇒ x = 9

So, ∠ ABC = ∠ DBE = 3(9) + 38 = 65° (Answer)

Again, ∠ ABC and ∠ ABD are supplementary angles.

Then, ∠ ABC + ∠ ABD = 180°

⇒ ∠ ABD = 180° - 65° = 115°

And ∠ ABD = ∠ CBE {Vertically opposite angles}

So, ∠ ABD = ∠ CBE = 115° (Answer)

6 0
4 years ago
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