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3 years ago

Please help me its about Solving by substitution

Mathematics

1 answer:

Len [333]3 years ago

4 0

Step-by-step explanation:

x=y+7

3x+2y=6

so wherever you see X you but y+7

3(y+7)+2y=6

3y+21+2y=6

group like terms

3y+2y=6-21

5y=-15

divide by 5

y=-3

to find x sub the y value in the equation

x=y+7

x=-3+7

x=4

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A cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm. What volume of juice does the pitcher contain whe

Andreas93 [3]

Answer:

706.50 cubic cm.

Step-by-step explanation:

Given that a cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm.

We are to find out the t volume of juice does the pitcher contain when it is 25% full. 3.14 is to be used for pi.

Volume of the cylinder = $\pi r^2 h\\ \\=3.14 *6^2*25\\=2826$

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4 years ago

There has been a great deal of controversy over the last several years regarding what types of surveillance are appropriate to p

alexira [117]

Answer:

Given that a person was identified as a future terrorist, there is a 2.8544% probability that he/she actually is a future terrorist.

Step-by-step explanation:

There are 1000 future terrorists in a population of 300,000,000. So the probability that a randomly selected person in this population is a terrorist is:

$P = \frac{1,000}{300,000,000} = 0.000003 = 0.0003%$

So, we have these following probabilities:

A 99.9997% probability that a randomly chosen person is not a terrorist.

A 0.0003% probability that a randomly chosen person is a terrorist.

A 98% probability that a future terrorist is correctly identified

A 99.9% chance of correctly identifying someone who is not a future terrorist. This also means that there is a 0.01% probability of someone who is not a terrorist being identified as one.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Here we have:

What is the probability that the person is a terrorist, given that she was identified as a terrorist.

P(B) is the probability that the person is a terrorist. So $P(B) = 0.000003$

P(A/B) is the probability that the person was identified as a terrorist, given that she is a terrorist. The problem states that the system has a 98% chance of correctly identifying a future terrorist, so $P(A/B) = 0.98$