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2 years ago

I need help plssssss

Mathematics

1 answer:

Ymorist [56]2 years ago

5 0

Answer:

36cm^2

Step-by-step explanation:

you multiply base times height or length times width to get area

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In New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub. What is the probability t

SSSSS [86.1K]

Answer:

Probability that a house has a hot tub given that it has a pool is 55%.

Step-by-step explanation:

We are given that in New York State, 38% of the houses have a pool and 21% of the houses have both a pool and a hot tub.

Let the probability that houses have a pool = P(A) = 0.38

Also, let B = event that houses have a hot tub

Probability that houses have both a pool and a hot tub = $P(A \bigcap B)$ = 0.21

Now, the conditional probability that a house has a hot tub given that it has a pool is given by = P(B / A)

<u>As we know that</u>; P(B / A) = $\frac{P(A \bigcap B)}{P(A) }$

= $\frac{0.21}{0.38}$

= 0.553 ≈ 55%

Hence, the probability that a house has a hot tub given that it has a pool is 55%.

8 0

2 years ago

We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent

Nikitich [7]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 : Result on 1st die.

- Random Variable X_2: Result on 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

( X = -2 ): { X_2 = 1 , X_1 = 3 }

P ( X = -2 ): P ( X_2 = 1 ) * P ( X_1 = 3 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

( X = -1 ): { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

P ( X = -1 ): P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 0 ): { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } + { X_2 = 3 , X_1 = 3 }

P ( X = -1 ):3*P ( X_2 = 1 )*P ( X_1 = 1 )

: 3*( 1 / 3 ) * ( 1 / 3 )

: ( 3 / 9 ) = ( 1 / 3 )

( X = 1 ): { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

P ( X = 1 ): 2* P ( X_2 = 2 ) * P ( X_1 = 1 )

: 2* ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 2 ): { X_2 = 1 , X_1 = 3 }

P ( X = 2 ): P ( X_2 = 3 ) * P ( X_1 = 1 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

- The distribution Y = X_2,

P(Y=0) = 0

P(Y=1) = 1/3

P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

8 0

3 years ago

The cooking compartment of a microwave oven measures 15 inches long, 14 inches wide, and 9 inches high. What is the volume of th

NemiM [27]

So,

All we have to do is multiply the dimensions given.
15 * 14 * 9 = 210 * 9 = 1890

The volume of the cooking compartment of the oven is 1890 in.³

4 0

2 years ago

|-4a+10|=2<br> solving absolute value eqations

Radda [10]

Answer:

a=2,3

Step-by-step explanation:

6 0

3 years ago

120% of 37 is what number?

xxMikexx [17]

120% of 37 is 44.4. Good luck!

4 0

3 years ago

Read 2 more answers