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3 years ago

Graph 3x-2y=16 and x-2y=4

1 answer:

5 0

A) 3x -2y = 16
B) x -2y = 4
Multiplying equation B by -1
B) -x +2y = -4 then adding it to equation A
A) 3x -2y = 16
2x = 12
x = 6

B) x -2y = 4
B) 6 -2y = 4
B) 2y = -2
y = 1

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Which of the following pairs of values are NOT equal in a normal distribution curve?

qaws [65]

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The correct option is C.

<h3>What is a normal distribution?</h3>

The mean, median, and mode of a completely normal distribution will all have the same value, represented graphically by the top of the curve. The normal distribution is often known as the bell curve because the probability density graph resembles a bell.

The option that is not true for the normal distribution is the value of the mean and the height of the density curve at its lowest are not equal.

Hence, the correct option is C.

Learn more about Normal Distribution:

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5 0

3 years ago

A manager randomly selected 25 large cash transactions at a bank that were made in January. The manager then carefully tracked d

Dmitriy789 [7]

Answer:

0.4629 = 46.29% probability that the manager finds more than two such transactions

Step-by-step explanation:

For each transaction, there are only two possible outcomes. Either there is a procedural error, or there is not. The probability of a procedural error on a transaction is independent of any other transaction. This means that we use the binomial probability distribution 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.

A manager randomly selected 25 large cash transactions at a bank that were made in January.

This means that $n = 25$

The chance for a procedural error is 10%

This means that $p = 0.1$

What is the probability that the manager finds more than two such transactions?

This is:

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0718 + 0.1994 + 0.2659 = 0.5371$

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5371 = 0.4629$

0.4629 = 46.29% probability that the manager finds more than two such transactions

4 0

3 years ago

Which of the following combinations cannot be the side lengths of a triangle?

Neporo4naja [7]

The sum of the two short legs must be at least as long as the longest leg.

This requirement for a triangle is NOT met by the 2nd selection. Those lengths cannot be a triangle.

8 0

4 years ago

I need help only on pardon D and E.

Crazy boy [7]

Ur answer should be c

4 0

4 years ago

60 rulers cost £9 how much does 1 cost

USPshnik [31]

Answer:

the answer to your question is

6 2/3 if you were dividing 60 ÷ 9 that is

5 0

3 years ago