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2 years ago

5

The system of equations below represents the hangers: 2x + 2y = 20, 3x = 2y. Which of the following points is a solution to this

system?

1 answer:

Aleonysh [2.5K]2 years ago

8 0

Answer:

5lb

Step-by-step explanation:

You might be interested in

A journal article reports that a sample of size 5 was used as a basis for calculating a 95% CI for the true average natural freq

oksano4ka [1.4K]

Answer:

$Lower = 231.134- 3.098=228.036$

$Upper = 231.134+ 3.098=234.232$

Step-by-step explanation:

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)

s represent the sample standard deviation

n=5 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case we know that the 95% confidence interval is given by:

$\bar X=\frac{233.002 +229.266}{2}= 231.134$

And the margin of error is given by:

$ME = \frac{233.002 -229.266}{2}= 1.868$

And the margin of error is given by:

$ME= t_{\alpha/2} \frac{s}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1 = 5-1=4$

And the critical value for 95% of confidence is $t_{\alpha/2}= 2.776$

So then we can find the deviation like this:

$s = \frac{ME \sqrt{n}}{t_{\alpha/2}}$

$s = \frac{1.868* \sqrt{5}}{2.776}= 1.506$

And for the 99% confidence the critical value is: $t_{\alpha/2}= 4.604$

And the margin of error would be:

$ME = 4.604 *\frac{1.506}{\sqrt{5}}= 3.098$

And the interval is given by:

$Lower = 231.134- 3.098=228.036$

$Upper = 231.134+ 3.098=234.232$

6 0

3 years ago

A 9-foot ladder is placed 4

ikadub [295]

5 feet is how far the ladder reaches

5 0

3 years ago

Find the product. Simplify your answer.<br> -5 • 9t<br> 7s 7

Sauron [17]

Answer:

-13

——— = -0.20635

63

Step-by-step explanation:

Step 1 :

7

Simplify —

9

Equation at the end of step 1 :

4 7

— - —

7 9

Step 2 :

4

Simplify —

7

Equation at the end of step 2 :

4 7

— - —

7 9

Step 3 :

Calculating the Least Common Multiple :

3.1 Find the Least Common Multiple

The left denominator is : 7

The right denominator is : 9

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

7 1 0 1

3 0 2 2

Product of all

Prime Factors 7 9 63

Least Common Multiple:

63

Calculating Multipliers :

3.2 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 9

Right_M = L.C.M / R_Deno = 7

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 4 • 9

—————————————————— = —————

L.C.M 63

R. Mult. • R. Num. 7 • 7

—————————————————— = —————

L.C.M 63

Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 • 9 - (7 • 7) -13

——————————————— = ———

63 63

Final result :

-13

——— = -0.20635

63

8 0

3 years ago

Read 2 more answers

Simplify the following expression. 1 point<br><br> (-2+i)(3-6i)

liberstina [14]

(-2+I)(3-6i)
-2i + -6i = 12i

4 0

3 years ago

Read 2 more answers

analog clock is gaining 3 minutes every hour, You set it at 6 pm on Saturday, when will it show the correct time

Ivanshal [37]

This is tricky. Fasten your seat belt. It's going to be a boompy ride.

If it's a 12-hour clock (doesn't show AM or PM), then it has to gain
12 hours in order to appear correct again.

How many times must it gain 3 minutes in order to add up to 12 hours ?

(12 hours) x (60 minutes/hour) / (3 minutes) = 240 times

It has to gain 3 minutes 240 times, in order for the hands to be in the correct positions again. Each of those times takes 1 hour. So the job will be complete in 240 hours = <em>10 days .</em>

Check:

In <u>10</u> days, there are <u>240</u> hours.
The clock gains <u>3</u> minutes every hour ==> <u>720</u> minutes in 240 hours.
In 720 minutes, there are 720/60 = <u>12 hours</u> yay !
_________________________________

If you are on a military base and your clocks have 24-hour faces,
then at the same rate of gaining, one of them would take 20 days
to appear to be correct again.
_________________________________

Note:
It doesn't have to be an analog clock. Cheap digital clocks can
gain or lose time too (if they run on a battery and don't reference
their rate to the 60 Hz power that they're plugged into).

3 0

3 years ago