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3 years ago

Name the Property of Equality that justifies this statement: If l = m, then m=1

Mathematics

2 answers:

Troyanec [42]3 years ago

6 0

Answer:

Symetric property

Step-by-step explanation:

If x = y then switching their positions won't affect the equation

Nesterboy [21]3 years ago

3 0

Answer:

symmetric property

Step-by-step explanation:

For all real numbers x and y ,

if x=y , then y=x .

Order of equality does not matter.

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

4 0

3 years ago

Will get branliest!!!!!!!

lawyer [7]

Answer:

It has the same domain as the function $f(x)=-\sqrt{-x}$

Step-by-step explanation:

we have

$f(x)=\sqrt{-x}$

we know that

The radicand cannot be a negative number

$-x\geq 0$

Solve for x

Multiply by -1 both sides

$x\leq 0$

The domain of the given function is the interval ----> (-∞,0]

All real numbers less than or equal to 0

The range of the given function is the interval ----> [0,∞)

All real numbers greater than or equal to zero

Verify each statement

Part 1) It has the same domain as the function $f(x)=-\sqrt{-x}$

The statement is true

The domain of the function $f(x)=-\sqrt{-x}$ is

the interval ---> (-∞,0]

Part 2) It has the same range as the function $f(x)=-\sqrt{-x}$

The statement is false

The range of the function $f(x)=-\sqrt{-x}$ is

the interval ---> (-∞,0]

Part 3) It has the same domain as the function $f(x)=-\sqrt{x}$

The statement is false

The domain of the function $f(x)=-\sqrt{x}$ is

the interval ---> [0,∞)

Part 4) It has the same range as the function $f(x)=-\sqrt{x}$

The statement is false

The range of the function $f(x)=-\sqrt{x}$ is

the interval ---> (-∞,0]

4 0

3 years ago

Read 2 more answers

22 has how many 2/7s in it? please explain how you got your answer. thank you :]

Gnom [1K]

Divide 22 by 2 sevenths; 22 / (2/7) = 77

3 0

3 years ago

Read 2 more answers

What is the solution to 3x -2y =1 and 4y = 7 + 3x

Delvig [45]

Given.

$3x-2y=1$ (1)

$4y=7+3x$ (2)

Re-arrange equation (2)

$(4y=7+3x)-4y$

$0=-4y+3x+7$

$(0=-4y+3x+7)-7$

$-7=-4y+3x$

Multiply equation (2) by -1

$-1(3x-4y=-7)$

$-3x+4y=7$ (3)

Combine like terms and solve.

$3x-3x-2y+4y=1+7$

$2y=8$

Divide by (2y) and solve for (y).

$\frac{2y}{2}=\frac{8}{2}$

$y=4$

Substitute (y) for equation (1).

$3x-2y=1$

$3x-2(4)=1$

$3x-8=1$

Add (8) to both sides.

$(3x-8)+8=(1)+8$

$3x=9$

Divide by (3).

$\frac{3x}{3}=\frac{9}{3}$

$x=3$

Check your work.

$3x-2y=1$

$3(3)-2(4)=1$

$9-8=1$

$1=1$

$4y=7+3x$

$4(4)=7+3(3)$

$16=7+9$

$16=16$

Your answers is $x=3$ and $y=4$

8 0

3 years ago

What is the answer please help please

Brilliant_brown [7]

Answer:

86.9 cm^3

Step-by-step explanation:

You have to find the area of every face. Since the opposite sides have the same area, you can find three areas and then multiply by 2.

2(5.3x2)=21.2

2(4.5x2)=18

2(4.5x5.3)=47.7

You then add the values together...

21.2+18+47.7=86.9

7 0

3 years ago

Read 2 more answers