What is the same between a ninety degree angle and a thirty degree angle?

Joan found a large metal bar that weighed 36 grams. Joan was also able to determine that the bar had 18 grams of zinc. What perc

tatiyna

Answer:

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

Step-by-step explanation:

Weight of the metal bar ,M= 36 g

Weight of the zinc in the metal bar , m= 18 g

Percentage of zinc in the metal bar :

$=\frac{m}{M}\times 100$

$=\frac{18 g}{36 g}\times 100=50\%$

The weight of the zinc in the metal bar was 50% of the weight of the metal bar .

6 0

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 $P(A/B) = 0.98$

P(A) is the probability of a person being a identified as a terrorist. So

$P(A) = P_{1} + P_{2}$

$P_{1}$ is the probability that a person is a terrorist and was identified as one. So:

$P_{1} = 0.000003*0.98 = 0.00000294$

$P_{1}$ is the probability that a person is not a terrorist and, but was identified as one. So:

$P_{2} = 0.999997*0.0001 = 0.0000999997$

So

$P(A) = P_{1} + P_{2} = 0.00000294 + 0.0000999997 = 0.000103$

The answer is:

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.000003*0.98}{0.000103} = 0.028544$

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

3 0

3 years ago

Help not very good at this

r-ruslan [8.4K]

-8.2, -2, 0.4, 2.4 is your answer

5 0

3 years ago

Read 2 more answers

What is the middle of 1/2 and 3/4

nirvana33 [79]

Answer: Try 5/8

Step-by-step explanation: Because 1/2 and 3/4 can also be written as 4/8 and 6/8. And that's how I got 5/8.

8 0

3 years ago

Read 2 more answers

Helps Idk how to do diz. Solve the area of this

slamgirl [31]

There are 1 right triangle, 1 rectangle and 1 trapezoid
- Solve for right triangle
1/2 x 5 x 8 = 20 cm
- Solve for rectangle
12 x 8 = 96 cm
- Solve for trapezoid
1/2 x 9 ( 5 + 10 ) = 67.5 cm
- The area of this is
20 + 96 + 67.5 = 183.5 cm
hope it useful for you :)

7 0

4 years ago