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nadya68 [22]
3 years ago
15

The rising cost of nursing homes is forcing families to plan ahead. Nursing home costs have risen roughly 20% in 3 years, to an

average of $46,000 per year. What is the cost of nursing home care 3 years ago? Round to the nearest thousands.
Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer: the cost of nursing home care 3 years ago was $37,000

Step-by-step explanation:

$46,000 x 20%=

$46,000 x 20/100= $9,200

$46,000 - $9,200 = $36,800

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If g(x) is the inverse of f(x), what is the value of f(g(2))?
Llana [10]

Answer:

2

Step-by-step explanation:

took it on edg

5 0
3 years ago
You have drawn a simple random sample of 36 college students, asking each student how much rent they pay per month. You obtain a
Karo-lina-s [1.5K]

Answer:

573-1.690\frac{22}{\sqrt{36}}=566.8033    

573+1.690\frac{22}{\sqrt{36}}=579.1967      

And the 90% confidence interval would be between [566.80 and 579.20]

Step-by-step explanation:

Information given

\bar X=573 represent the sample mean

\mu population mean (variable of interest)

s=22 represent the sample standard deviation

n=36 represent the sample size  

Confidence interval

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

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

The degrees of freedom are given by:

df=n-1=36-1=35

The Confidence level is 0.90 or 90%, the significance would be \alpha=0.1 and \alpha/2 =0.05, and the critical value for this case would be t_{\alpha/2}=1.690

And replacing we got:

573-1.690\frac{22}{\sqrt{36}}=566.8033    

573+1.690\frac{22}{\sqrt{36}}=579.1967    

And the 90% confidence interval would be between [566.8033 and 579.1967]

6 0
3 years ago
I don’t even know what i’m doing anymore. aren’t there supposed to be two answers??
Evgen [1.6K]

Answer:

a>4

Step-by-step explanation:

-7a-11<1-4a

ADD 4a to both sides

-3a-11 <1

Add 11 to both sides

-3a <12

Divide both sides by 3

-a <4

Multiply by -1 both sides and FLIP SIGN

a>4

So  a should be 5 ,6,7,8.........

On the number line you need to count from zero  4 units to the right (positive 4) Once you are in number 4 draw an open circle which means the 4 is NOT included) Draw a line from 4 to the right because it is bigger than 4.

Interval notation is (4,∞)

[ ] a square bracket when we want to include the number 4

( ) a round bracket when we don't want to include the number 4

8 0
3 years ago
Greg has four different colored cards in a box. Yellow, red, blue, and green. He randomly selects one card, records the color, a
Veronika [31]

Answer:

He should expect to select 75 yellow cards.

Step-by-step explanation:

Since there is replacement, for each trial, we have:

1 yellow card

1 red card

1 blue card

1 green card.

If Greg does this 300 times, how many yellow cards should he expect to select?

Each trial, there are 4 cards, one of which is yellow. So 1/4 = 0.25 probability of selecting a yellow card.

Over 300 trials

0.25*300 = 75

He should expect to select 75 yellow cards.

6 0
3 years ago
Greta currently works 45 hours per week and earns a weekly salary of $729. She
marissa [1.9K]

Answer:

Greta will be earning 3.6/h more at her new job.

Step-by-step explanation:

To find the difference subract Greta‘s salary from her current job from Greta’s salary from her future job.

To find Greta’s salary (numerator) at her future job divide her current weekly salary ($729) by 45h then multiply that answer (16.2) by the increase in salary 10% or 1.1. You should end up with $17.82- this is your numerator. To find the denominator divide her current hours (45h) by 45 then multiply that answer (1) by 0.9 which is the 10% decrease in hours. Now you have a fraction ($17.82/0.9) then multiply that fraction by 1.1/1.1 to get the denominator to 1 hour so you can subtract the fractions. You should end up with $19.8/h.

Now subtract Greta’s current salary ($16.2/h)- you just take the numbers from the first part before you increase or decrease- from her future salary ($19.8/h), you will end up with 3.6/h.

I was challenged to write this in a single equation:

[((($729\45h)x1.1)/((45h\45)x0.9))x1.1/1.1]-[($729\45h)/(45h\45)]

=$3.6/h

/ means a fraction bar

\ means division

Also I am just a student so please tell me if you find any mistakes I could fix or any suggestions to make this a better explanation, and if you have any questions ask away.

4 0
3 years ago
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