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3 years ago

Which of the following ordered pairs in a solution of the equation y equals negative 4 x squared

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Answer:

Step-by-step explanation:

The equation is y = -4x²

Next time, please share the answer choices.

Here's a short table of possible solutions:

x -x² (x, y)

----- ------ ---------

0 0 (0, 0)

2 -4 (2, -4)

-3 -9 (-3, -9)

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Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?

Arlecino [84]

For this case we have the following domain:
{1, 3, 5, 7}
We have the following range:
{2, 4, 6}
A value of the range belongs to each value of the domain.
Therefore, the ordered pairs are:
(1, 2)
(3. 4)
(5, 6)
Answer:
A. {(1, 2), (3, 4), (5, 6), (7, 2)}

8 0

3 years ago

PLEASE HELP I'M CONFUSED! The measures of two adjacent angles have a ratio of 3:5. The sum of the measures of the two adjacent a

Paraphin [41]

75<span>°. So divide 120 by 8, then multiply 8 with 15. That's the measure of the larger angle. </span>

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3 years ago

Read 2 more answers

What is not a potential source of bias: Of the 2000 students attending, every 5th student going into the basketball game is aske

ahrayia [7]

I think it is C, not a large enough sample.

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