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2 years ago

I NEED HELP IM CONFUSED

Mathematics

1 answer:

mihalych1998 [28]2 years ago

3 0

Answer:

Step-by-step explanation:

Isolate by the x from one side of the equation.

|x-3|=5

x-3=-5 and x-3=5

1. x-3=-5

Add 3 from both sides.

x-3+3=-5+3

Solve.

-5+3=(-2)

x=-2

2. x-3=5

Add 3 from both sides.

x-3+3=5+3

Solve.

5+3=8

x=8

Therefore, the correct answer is x=-2 or x=8.

You might be interested in

What transformation has taken place on the coordinate grid pleaseee help my final! I'll give rate and heart etc

sertanlavr [38]

Answer:

Translation across the coordinate plane

Step-by-step explanation:

Here, we want to get the kind of transformation that has occurred to the shape

from the given coordinate diagram, we can see that A shifted from (2,3) to (-3,6)

B shifted from (2,-2) to (-3,1)

and C shifted from (-1,-4) to (-6,-1)

If we look at these, we can observe that there is a change in the x-axis coordinate in each by (-1-(-6) or 2-(-3) = 5 units

and there is a change in the y-axis value by (3-6) = -3 units

so the transformation here can be represented generally as;

(x -5, y+ 3)

With this, we can see that what we have represented is simply a translation across the coordinate plane

5 0

2 years ago

Boris drove 240 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?

satela [25.4K]

Use proportion to solve this.
240 miles needs 9 gallons
216 miles needs (9÷240) × 216 = 8.1 gallons

Hope it helped!

6 0

3 years ago

Read 2 more answers

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.

pav-90 [236]

Answer:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.25$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =0.35 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

3 0

2 years ago

Trevor is painting the front door of his house. The dimensions of the door are 812 feet by 212 feet by 3 inches. If he paints al

Sophie [7]

Answer:

Below!

Step-by-step explanation:

Step 1:

Convert!

812 x 12 = 9744

212 x 12 = 2544

Step 2:

Multiply the new dimensions!

9744 x 2544 x 3

Step 3:

The answer would be:

74366208 in.

BUT!

We're not done yet!

Step 4:

Duplicate it!

REAL ANSWER:

148732416 in. or 12394368 feet!

3 0

2 years ago

Read 2 more answers

Solve the system<br> y= 3x+7<br> y=2x-3

notka56 [123]

Answer:(-10,-23)

Step-by-step explanation:

Okay....the easiest way to answer this would be either elimination or graphing. However, you could also use substitution.

Right now, I'll show how to use it by elimination.

First this is to convert both equations to standard form (x+y=__)

What we'll do for the first one is add 3x to each side. We end up with this:

-3x+y=7

Then subtract 2x from the other one. Ending up with:

-2x+y=-3

Now, we eliminate the y by subtracting.

-3x+y=7

(-) -2x+y=-3

___________

-x =10

x = -10

Now, plug in the x to one of the equations.

y=2(-10)-3

y=-20-3

y=-23

Make sure to check your answer by plugging both into the equations.

X=-10

Y=-23

5 0

2 years ago