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3 years ago

12

A __________ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

1 answer:

rosijanka [135]3 years ago

7 0

Answer:

A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Step-by-step explanation:

hope that it helped you

You might be interested in

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used to solve this question.

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.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

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

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

2 years ago

A trapezoid has a perimeter of 14 feet. What will the perimeter be if each side length is increased by a factor 7? 21 feet 98 fe

natka813 [3]

Answer:

Correct choice is B

Step-by-step explanation:

Let a, b, c and d be the trapezoid's sides lengths.

The perimeter of the trapezoid is the sum of all sides lengths, thus,

$a+b+c+d=14\ ft.$

If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is

$7a+7b+7c+7d.$

Use the distributive property for this expression:

$7a+7b+7c+7d=7(a+b+c+d).$

Since $a+b+c+d=14\ ft,$ then

$7a+7b+7c+7d=7(a+b+c+d)=7\cdot 14=98\ ft.$

7 0

2 years ago

Read 2 more answers

What is the prediction for the outcome when the independent variable is 3? (Round the answer to the nearest hundredth.)

adelina 88 [10]

C bc i am a professor at Yale and it is simplistic............................................................... <span />

6 0

3 years ago

2. In the diagram, m_XYZ = 115 • and mZWXY = 450

Sloan [31]

I think it’s 20 degrees or 70

3 0

3 years ago

charle [14.2K]

$\bold{ANSWER:}$
C) 5.4

$\bold{SOLUTION:}$

8 0

1 year ago