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N76 [4]
3 years ago
15

On Monday, Ken spent half of his money on a new game. The next day he earned $12 mowing lawns. He now has $32. How much money di

d Ken have before he bought the game?
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

He had $20 before he bought the game, you can use subtraction to find out how much Ken had

$32 - $12 = $20

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In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t
Komok [63]

Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

5 0
3 years ago
Read 2 more answers
What is the rate of the trains in mph?
Fynjy0 [20]
I really don’t know sorry I would help you but I can genesis hdbdbhs hebdbh
5 0
3 years ago
How hard must someone pull on the unkown line and inwhat direction to keep the knot from moving ​
dolphi86 [110]

Answer:

4.4N, 263.4°

Step-by-step explanation:

The sum of all forces must add to zero:

The forces in the x-plane:

∑F = 3N + (cos 120°)*5N + x = 0

x = -(3N + (cos 120°)*5N)

x = -0.5N

The forces in the y-plane:

∑F = (sin 120°)*5N + y = 0

y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N

The magnitude of the unknown force U is:

U = √(x² + y²) = √19 = 4.4N

The direction is given by:

tanФ = y/x

Ф = 263.4°

4 0
3 years ago
Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.
Zarrin [17]

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular

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3 years ago
Please help me ill give you the crown thing if its right no joke
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22 need more
150-56=94
20*3 = 60
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