Please answer my question

Which property is (3x5)x2 and 3x(5x2)

bija089 [108]

Distribty propety is the answer

5 0

3 years ago

Find the volume of this

11111nata11111 [884]

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

4 0

2 years ago

When dropped, a super ball will bounce back to 80% of its peak height,continuing on in this way for each bounce.

Liono4ka [1.6K]

An expression for the height of the nth bounce is 0.80X^N = Height.

<h3><u>Equations</u></h3>

Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:

X = Initial value
80% = 0.80
N = Number of times the ball bounces
0.80X^N = Height

Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.

Learn more about equations in brainly.com/question/2263981

3 0

2 years ago

Selected accounts with a credit amount omitted are as follows: Work in Process Apr. 1 Balance 7,000 Apr. 30 Goods finished X 30

lawyer [7]

Answer:

$29,900

Step-by-step explanation:

The computation of the balance of Work in Process as of April 30 is shown below:

= Opening balance of work in process + direct material cost + direct labor cost + factory overhead cost - goods finished

= $7,000 + $78,400 + $195,000 + $136,500 - $387,000

= $29,900

The direct material cost + direct labor cost + factory overhead cost is known as manufacturing cost

3 0

3 years ago

In a large population, 3% of the people are heroin users. A new drug test correctly identifies users 93% of the time and correct

kari74 [83]

Answer:

(a) The probability tree is shown below.

(b) The probability that a person who does not use heroin in this population tests positive is 0.10.

(c) The probability that a randomly chosen person from this population is a heroin user and tests positive is 0.0279.

(d) The probability that a randomly chosen person from this population tests positive is 0.1249.

(e) The probability that a person is heroin user given that he/she was tested positive is 0.2234.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person is a heroin user

<em>Y</em> = the test is correct.

Given:

P (X) = 0.03

P (Y|X) = 0.93

P (Y|X') = 0.99

(a)

The probability tree is shown below.

(b)

Compute the probability that a person who does not use heroin in this population tests positive as follows:

The event is denoted as (Y' | X').

Consider the tree diagram.

The value of P (Y' | X') is 0.10.

Thus, the probability that a person who does not use heroin in this population tests positive is 0.10.

(c)

Compute the probability that a randomly chosen person from this population is a heroin user and tests positive as follows:

$P(X\cap Y)=P(Y|X)P(X)=0.93\times0.03=0.0279$

Thus, the probability that a randomly chosen person from this population is a heroin user and tests positive is 0.0279.

(d)

Compute the probability that a randomly chosen person from this population tests positive as follows:

P (Positive) = P (Y|X)P(X) + P (Y'|X')P(X')

$=(0.93\times0.03)+(0.10\times0.97)\\=0.1249$

Thus, the probability that a randomly chosen person from this population tests positive is 0.1249.

(e)

Compute the probability that a person is heroin user given that he/she was tested positive as follows:

$P(X|positive)=\frac{P(Y|X)P(X)}{P(positive)} =\frac{0.93\times0.03}{0.1249}= 0.2234$

Thus, the probability that a person is heroin user given that he/she was tested positive is 0.2234.

6 0

3 years ago