In one large city, 40% of all households own a dog, 32% own a cat, and 18% own both. Suppose we randomly select a household and learn that the household owns a cat. Find the probability that the household owns a dog.

Answer:

Step-by-step explanation:

AB=√[(4+2)²+(6-11)²]=√61

BC=√[(-1-4)²+(0-6)²]=√61

AC=√[(-1+2)²+(0-11)²]=√122

AC²=AB²+BC²

So it is a right angled triangle.

The area of the triangle is (8/5)sqrt(1199) square units.

We are given that;

Coordinates= A=(-2,11) B = (4.6) C=(-1,0)

Now,

we can plug in one point on line AB, such as A(-2, 11), and solve for b:

y = mx + b 11 = (-5/6)(-2) + b 11 = (5/3) + b b = 11 - (5/3) b = (28/3)

Hence, the equation of line AB is:

y = (-5/6)x + (28/3)

Now we can set y equal to 0 (the y-coordinate of C) and solve for x:

y = (-5/6)x + (28/3)

0 = (-5/6)x + (28/3) (-5/6)

x = -(28/3)

x = -(28/3)/(-5/6)

x = (56/15)

Therefore, point D has coordinates (56/15, 0). To find the height of the triangle, we need to find the distance between points A and D using the distance formula:

[tex]h = AD = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) h = sqrt((56/15 - (-2))^2 + (0 - 11)^2) h = sqrt((136/15)^2 + 121) h = sqrt(18496/225 + 121) h = sqrt(45121/225) h = (3/15)sqrt(5024)[/tex]

Now we can plug in the values of b and h into the area formula and simplify:

[tex]A = (1/2)bh A = (1/2)(sqrt(61))((3/15)sqrt(5024)) A = (1/10)sqrt(61)sqrt(5024) A = (1/10)sqrt(307584) A = (1/10)(16)sqrt(1199) A = (8/5)sqrt(1199)[/tex]

Therefore, by the given triangle answer will be (8/5)sqrt(1199) square units.

Learn more about the triangle;

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Answer:

c

Step-by-step explanation:

Answer:

Wages expense Dr ($900 × 3 days) $2,700

    To wages payable $2,700

(being wages expense is recorded)

Step-by-step explanation:

The adjusting entry is as follows

Wages expense Dr ($900 × 3 days) $2,700

    To wages payable $2,700

(being wages expense is recorded)

Here the wages expense is debited as it increased the expense and credited the wages payable as it also increased the liability

Since on Jan 26, it is friday so the remaining days would be 3

Answer:

12*365 = 4380

4380 miles

Step-by-step explanation:

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{818}\\c=28.6[/tex]

Hence,

The ladder is 28.6 feet long.

Answer:

my answer is c

Step-by-step explanation:

Answer:

4:7

Edit: I just saw the multiple choice options, in this case the right answer is:

but they're both equal

Step-by-step explanation:

The ratio you are looking for is

freestyle laps : (freestyle + butterfly) laps

so:

8 : (6+8)

8:14

Divide by 2 to simplify

4:7

9514 1404 393

Answer:

  12.5 square inches

Step-by-step explanation:

The area of the base can be written as ...

  B = LW

Then the volume formula ...

  V = LWH

can be written in terms of the base area as ...

  V = BH

The base area can be found by dividing by the height:

  B = V/H = (50 in³)/(4 in) = 12.5 in²

The area of the base is 12.5 square inches.

Answer:

in order u put them in, 8 top, 12 bottem, 32 top, 30 bottem

Answer:

2a=40

a=20

Step-by-step explanation:

Answer: A = 1/20

Step-by-step explanation: You can easily find the formula for this particular problem and follow the steps to solve. Hope it helps and have a good day.

Answer:

13 inches

Step-by-step explanation:

Shaded area is a triangle.

area of triangle = 0.5(base)(height) = 0.5(16)(y) = 104

y = 13 inches

Answer

A

Step-by-step explanation:

It should taker her 4 hrs to get there because 53 times 4 equals 212.

Answer:

52 miles per hour

Step-by-step explanation:

455 miles in 8 hr 45 min =

455 miles in 8.75 hours

[tex]\frac{455 miles}{8.75 hours} = \frac{x}{1 hour}[/tex]

8.75(x) = 455(1)

[tex]\frac{8.75(x)}{8.75} = \frac{455(1)}{8.75}[/tex]

x = 52

Answer: To find a residual you must take the predicted value and subtract it from the measured value.

Step-by-step explanation:

Answer:

-k-h/r-s

When solving the goal is to get x on one side and not x on the other.

rx + h = sx - k

rx - sx + h = -k                   <------- subtract sx from both sides

rx - sx = -k - h                   <-------subtract h from both sides

x (r - s) = -k -h                   <------factor out x which is in both rx and sx

x = - k - h / r - s                 <-------divide by r-s on both sides

Answer:

9/16

Step-by-step explanation:

6/20 can be divided into 3/10

8/14 can be divided into 4/7

15/35 can be divided into 3/7

Most odd numbers cant be divided into simpler forms (besides 5 usually tho)

exp. 5/15 isnt simplest (1/3)

3/5 is simplest

Answer: 9/16

Step-by-step explanation:

Answer:

y=3x

Step-by-step explanation:

y=mx+b, m is slope, b is y-intercept

Answer:

The equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

Step-by-step explanation:

a)

6a = 9a

subtract 9a from both sides

6a - 9a = 9a - 9a

-3a = 0

divide both sides by -3

-3a / -3 = 0/-3

Simplify

a = 0

b)

5x = 28

divide both sides by 5

5x/5 = 28/5

x = 28/5

c)

y = y + 1

subtract y from both sides

y - y = y+1-y

0 = 1

These sides are not equal, so

NO SOLUTION!

d)

y + 5 = 12

subtract 5 from both sides

y + 5 - 5 = 12 - 5

y = 7

Conclusion:

Therefore, the equation 'y = y + 1' represents NO SOLUTION.

Hence, option 'C' is true.

Answer:

1: y=y+1

2: 6a = 9a

Step-by-step explanation:

Without solving, NO SOLUTION describes which equation?

Answer: y=y+1

For which equation is zero a reasonable solution?

Answer: 6a = 9a

Answer:

1/2

Step-by-step explanation:

the circle has 8 pieces so that's how you get the denominator

you count how many A's there are and that is your numerator

so now 4/8 and reduce to get a half

Answer:

4/9 = 20/45

Step-by-step explanation:

divided the numerator of the whole fraction by the fraction missing a number

(in this case, 20 ÷ 4 = 5)

since the numerator and denominator have to be divided by the same number to make an equivalent fraction, you would divide 45 by 5 and would get 9

hope this helped

Answer: Let's simplify step-by-step.

n+3

There are no like terms.

=n+3

Step-by-step explanation: hope this help

Answer:

14

Step-by-step explanation:

add 4+10

9514 1404 393

Answer:

  [tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.

The value of the cosine is ...

  cos(11π/12) ≈ -0.9659

The values of the answer choices are ...

  a) -0.9659 . . . . matches the required value

  b) -0.2588

  c) 0.2588

  d) 0.9659

_____

You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).

Answer:a

Step-by-step explanation:

Edge:)

Answer:slope -1/2

y-intercept: (0,4)

Step-by-step explanation: