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suter [353]
3 years ago
13

Cone,cube,cylinder, sphere, and/or rectangular prism... my cross sections are sometimes a circle

Mathematics
1 answer:
mina [271]3 years ago
8 0

Answer:

cone , cylinder and sphere

Step-by-step explanation:

these 3 solids {cone , cylinder , sphere} their cross sections are sometimes a circle.

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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
Z A deep-sea diver is exploring a ship at a depth of 200 below sea
love history [14]

Answer:

The diver was -180 feet below sea level at 12 minutes.

Step-by-step explanation:

Multiply -15 by 12 and you should get -180.

8 0
3 years ago
Jaime bought 5 pairs of baseball pants for $127.90. About how much was the cost of one pair of baseball pants? A. $25.00 B. $26.
Yakvenalex [24]
B.26.00 Because if you divide 127.90 by 5 you will 25.58 and you round that up to 26.00
3 0
3 years ago
Raise the quality in parentheses to the indicated exponent, and simplify the resulting expression with positive exponents.
finlep [7]

For this case we have the following expression:

(\frac {-27x ^ 0 * y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =

By definition we have to:

a^0 = 1

So:

(\frac {-27y ^ {- 2}} {54x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =

Simplifying:

(\frac {-y ^ {- 2}} {2x ^ {- 5} * y ^ {- 4}}) ^ {- 2} =

By definition of power properties we have to:

(a ^ n) ^ m = a ^ {n * m}

So, rewriting the expression we have:

(-1)^{-2}\frac{-y^{-2*-2}}{2^{-2}*x^{-5*-2}*y^{-4*-2}}=\\\frac{1}{(-1)^2}*\frac{-y^{4}}{2^{-2}x^{10}*y^{8}}=

SImplifying:

+1*\frac{y^{4-8}}{2^{-2}x^{10}}=\\\frac{y^{-4}}{2^{-2}x^{10}}=\\\frac{2^2}{x^{10}y^{4}}

Answer:

\frac{4}{x^{10}y^{4}}

8 0
4 years ago
The slope and y-intercept of a line that goes though (0,4) and (-5,5)
Sphinxa [80]

Answer:

slope= -1/5  y intercept 3

Step-by-step explanation:

(0,4) and (-5,5) can be rewriten as 5-4/-5-0, which equals -1/5. Then, you plug the numbers into the equation y= mx+b to get -4=-1/5(5)+b. That gets 3.

5 0
3 years ago
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