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White raven [17]
2 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]2 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...
You might be interested in
During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30. 75 peop
solmaris [256]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

3 0
2 years ago
the graph of g(x) is a translation of the function f(x) = x2. the vertex of g(x) is located 5 units above and 7 units to the rig
bulgar [2K]
Translation of 7 units to the right ⇒ subtract 7 units to the argument ⇒ f(x-7)

Translation of 5 units up ⇒ add 5 units to the function ⇒ f(x) + 5

g(x) = f (x-7) + 5 = (x-7)^2 + 5

The subtraction of 7 units to the argument of the function (this is x) translates the function 7 units to the right.

Adding 5 units to the function f, translates the graph 5 units up.
6 0
2 years ago
Read 2 more answers
Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
Airida [17]

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

<em>also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A </em>

<em>so 180 - 157 = 23 gives the m∠FAB</em>

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

3 0
2 years ago
A graph represents the perimeter ,y, in units for an equilateral triangle with the side lengths x units. The slope of the line i
kicyunya [14]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

<u><em>The correct question is</em></u>

Explain what the slope and intercept mean in each situation.

A graph represents the perimeter,y, in units, for an equilateral triangle with side length x units. The slope of the line is 3 and the y-intercept is 0

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

In this problem

y is the perimeter in units

x is the side length of a equilateral triangle

we have

m=3\\b=0

substitute

The linear equation is

y=3x ---> Is a proportional relationship because the line passes through the origin

see the attached figure to better understand the problem

<u><em>Explanation</em></u>

The slope is ---> m=\frac{3}{1}\frac{units}{unit}

That means

The ratio of perimeter of triangle to side length of triangle is 3:1

The y-intercept is 0

Remember that

The y-intercept is the value of y when the value of x is equal to zero

In this context

The y-intercept is the value of the perimeter when the value of the side length is equal to zero

so

The value of the perimeter is 0 when the value of side length is 0

3 0
2 years ago
A high school has 1,500 students. In a random sample of 50 students, 32 own one or more pets. Predict the number of students at
Rus_ich [418]
I wanna say 32 because it repeats it in the question
7 0
2 years ago
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