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3 years ago

(2.5 x 104) * (8 x 10) =

Mathematics

2 answers:

mafiozo [28]3 years ago

6 0

Answer:

20,800

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

20,800

Step-by-step explanation:

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Marcy needs 150 feet of fabric for her project. She uses 20% of it. How many feet of fabric did she use for her project so far?

Nataliya [291]

Answer:

The answer is 120 feet of fabric

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2 years ago

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Bo bought a few items for $93.84, not including tax. If the tax rate was 7%, what was the total cost of these items, including t

Nastasia [14]

Answer:

Total cost is $100.41 ( $93.84 + $6.57)

Step-by-step explanation:

Thinking Point: The total cost is the cost of the items PLUS the tax. 93.84 ∙ 0.07 = 6.5688 (round to “cents”) = $6.57

Hope this helped!

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3 years ago

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Solve for a. 1/3(21−3a)=6−a a.−1 b.0 c.no solution d.all real numbers

kifflom [539]

1/3(21 - 3a) = 6 - a
7 - a = 6 - a
7 = 6

Therefore, the equation has no solution.

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

A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c

otez555 [7]

Answer:

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting $V=78$ in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

3 0

3 years ago