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Elanso [62]
3 years ago
5

Which fraction is equal to 0.8? Express your answer in simplest form. A. 3/5 B. 4/5 C. 1/8 D. 5/8

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0
0.8 = 0.8 \times \frac{10}{10} = \frac{8}{10} =\frac{4\times 2}{5\times 2} = \boxed{\bf{\frac{4}{5}}}

Answer is B
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Find the value of x. Select one: a. 2.3 inches b. 3.3 inches c. 4.1 inches d. 6.1 inches
spayn [35]

Answer:

c 4.1 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2*pi*r

The sector is only 78 degrees

Take the fraction of a circle  and multiply by the circumference to find the length x

x = C* 78/360

  = 2 * pi *r * 78/360

  = 2 * pi *3 * 78/360

Using 3.14 for pi

  = 4.082

Rounding to the nearest tenth

x = 4.1 inches

6 0
3 years ago
Stephen does not like yogurt very much, but he loves
Mrac [35]
5+2+3=10 total snacks
5/10 or 1/2 are yogurts so 1/2 is the chance everyday
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7/8 chance he doesn't get yogurt three consecutive days
8 0
4 years ago
Find the product of (3 + 7)) (1 - 1), and write the answer in<br> standard form.
Mnenie [13.5K]

Answer:

10*0=0

Step-by-step explanation:

7 0
3 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
Solve the system using elimination. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)
Gre4nikov [31]

Answer: (1,-1)

Step-by-step explanation:

- You can multiply the first equation by -1

- Add the equations.

- Solve for x, as following:

\left \{ {{-5x - 4y = -1} \atop {-3x + 4y = -7}} \right.\\------\\-8x=-8\\x=1

- Substitute the value of x into any of the original equations and then you must solve for y:

5(1)+4(y)=1\\4y=-4\\y=-1

Therefore, the solution is: (1,-1)

5 0
3 years ago
Read 2 more answers
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