Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppose the benefits are normally distributed with a standard deviation of $460. Round the final answers to at least four decimal places and intermediate z-value calculations to two decimal places.

Answer:

4.4 would you let me know if you need an explanation and pls don't delete.

Hmmmm i think its 5/22

Step-by-step explanation:

So basically how i got it was 2/5*11

And that got me 5/22

I do not think you could simplify this

Either I'm very smooth brain or you can't simplify 5/22

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

Answer:

X²(4+x)

Step-by-step explanation:

You pick out the common term

Greetings.

The answer is x²(4+x)

Explanation:

[tex]4x^2+x^3\\[/tex]

By using a common factor, we factor x-term out. We factor the x-term with least degree and that is 2-degree. So we factor x² out.

When factored out, It's similar to dividing. When x² is divided by itself, the result is 1. When x³ is divided by x², the result is x (From the property of exponent.)

Similar to dividing, but we pull x² out.

[tex]4x^2+x^3\\x^2(4+x)[/tex]

Therefore, the answer/factored form is x²(4+x)

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

Answer:

17*200/17+83

Step-by-step explanation:

Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?

The distance under the question is 17*200/17+83= 17*2 = 34 miles.

17+83 = 100 mph in the denominator is the relative speed of the participants,  the rate of decreasing the distance between them.

200/17+83=200/100= 2 hours is the time before they meet.

therefore  17*200/17+83 is the time before they meet

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

[tex]60\:\times 2^{-2}[/tex]

[tex]=60\times \frac{1}{2^2}[/tex]             ∵ [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}[/tex]

[tex]=\frac{1\times \:60}{2^2}[/tex]

[tex]=\frac{60}{2^2}[/tex]

[tex]=\frac{2^2\times \:3\times \:5}{2^2}[/tex]

[tex]=3\times \:5[/tex]

[tex]=15[/tex] gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

1/4 = 0.25

Answer:

60ft

Step-by-step explanation:

        multiple the length by 2

15 times two equals 30

       multiple the width by two

15 times two equals 30

       add the total lengths and widths

30 plus 30 equals 60

ans=60

If xy = 1, then differentiating both sides with respect to x gives

x dy/dx + y = 0

(use the product rule)

Solve for dy/dx :

dy/dx = -y/x

Solve the starting equation for y and substitute that into the derivative.

xy = 1   →   y = 1/x

→   dy/dx = -(1/x)/x = -1/x²

Answer:

57.00

Step-by-step explanation:

welcome

Answer:

1.80

Step-by-step explanation:

60 x .03=1.80

Answer:336.57

Step-by-step explanation:

Answer:

87.259.

Step-by-step explanation:

Answer:

y=2/3x-11/3

Step-by-step explanation:

First, find the slope.

m= y2-y1/x2-x1

-3+5/1+2 = 2/3

Slope is 2/3

Now, pick one of the coordinates and use that and the slope to put it in point-slope form.

Point slope form: y-y1=m(x-x1)

Let's use (1,-3)

y+3=2/3(x-1)

Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.

y+3=2/3x-2/3

y=2/3x-11/3

Answer:

y=2/3x-11/3

Step-by-step explanation:

use slope formula and slope intercept form. y=mx+b

Answer:

From prove

Step-by-step explanation:

from prove

Explanation

Two angles are called complementary when their measures add to 90 degrees

Answer: Each shelf is 2ft

Step-by-step explanation:

16 = (2 x 4) + 4s

16 = 8 + 4s

8 = 4s (subtract 8 from both sides)

8/4 = 4s/4 (divide both sides by 4)

2 = s

Answer:Find the slope of the original line and use the point-slope formula  

y

−

y

1

=

m

(

x

−

x

1

)

to find the line parallel to  

y

=

3

x

+

6

.

y

=

3

x

−

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total number of workers is our unknown. If 40% of this unknown number are women and the number of women is 1380, then the equation looks like this:

(remember that the word "of" generally means to multiply)

(also remember that we have to use the decimal form of a percent in an equation)

.40(x) = 1380 then divide to get the number of total workers:

x = 3450

No picture, nothing to rate here.

Answer:

Hewo, Mee

202408

Answer:

202408

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

2nd

Step-by-step explanation:

The 2nd one is the correct one because it is true and that is the best way to get your solution.

Hope this helps:)

Pls mark brainly

Answer:

yes

Step-by-step explanation:

Answer:

C Marie's sample is biased.

Step-by-step explanation:

It is biased because she doesn't know. It is just 1 hour so like there could be like a lot of people at 4-5 and not a lot at 10-11

Hope this helps!

Merry Christmas

Answer:

Give the other person brainliest.

Step-by-step explanation:

The other person is correct.

Answer:

ik that problem gimmie a sec

Step-by-step explanation:

Step-by-step explanation:

since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)

the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well

Answer:

a. The number of units which will minimize average cost is approximately 5,130 units.

b. The firm should produce 12,500 items, x, for maximum profit.

c. The number of items, x, that will produce a maximum profit is 60 items.

Step-by-step explanation:

Note: This question is not complete as there are some signs are omitted there. The complete question is therefore provided before answering the question as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)^3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total venue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

3. If the profit function for a product is P(x) = 3600x + 60x2 - x3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

The explanation to the answer is now given as follows:

1. If the total cost function for a product is C(x) = 200(0.02x + 6)3 dollars, where x represents the number of hundreds of units produced, producing how many units will minimize average cost?

Given;

C(x) = 200(0.02x + 6)^3 ……………………………………….. (1)

We first simplify (0.02x + 6)^3 as follows:

(0.02x + 6)^3 = (0.02x + 6)(0.02x + 6)(0.02x + 6)

First, we have:

(0.02x + 6)(0.02x + 6) = 0.004x^2 + 0.12x + 0.12x + 36 = 0.004x^2 + 0.24x + 36

Second, we have:

(0.02x + 6)^3 = 0.004x^2 + 0.24x + 36(0.02x + 6)

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 7.20x + 0.0024x^2 + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.048x^2 + 0.0024x^2 + 7.20x + 1.44x + 216

(0.02x + 6)^3 = 0.00008x^3 + 0.0504x^2 + 8.64x + 216

Therefore, we have:

C(x) = 200(0.02x + 6)^3 = 200(0.00008x^3 + 0.0504x^2 + 8.64x + 216)

C(x) = 0.016x^3 + 10.08x^2 + 1,728x + 43,200

Therefore, the average cost (AC) can be calculated as follows:

AC(x) = C(x) / x = (0.016x^3 + 10.08x^2 + 1,728x + 43,200) / x

AC(x) = (0.016x^3 + 10.08x^2 + 1,728x + 43,200)x^(-1)

AC(x) = 0.016x^2 + 10.08x + 1,728 + 43,200x^(-1) …………………………. (2)

Taking the derivative of equation (2) with respect to x, equating to 0 and solve for x, we have:

0.032x + 10.08 - (43,300 / x^2) = 0

0.032x + 10.08 = 43,300 / x^2

X^2 * 0.32x = 43,300 – 10.08

0.32x^3 = 43,189.92

x^3 = 43,189.92 / 0.32

x^3 = 134,968.50

x = 134,968.50^(1/3)

x = 51.30

Since it is stated in the question that x represents the number of hundreds of units produced, we simply multiply by 100 as follows:

x = 51.30 * 100 = 5,130

Therefore, the number of units which will minimize average cost is approximately 5,130 units.

2. A firm can produce only 3900 units per month. The monthly total cost is given by C(x) = 500 + 200x dollars, where x is the number produced. If the total revenue is given by R(x) = 450x-1/100x^2 dollars, how many items, x, should the firm produce for maximum profit?

P(x) = R(x) - C(x) ……………. (3)

Where;

P(x) = Profit = ?

R(x) = 450x-1/100x^2

C(x) = 500 + 200x

Substituting the equations into equation (3), we have:

P(x) = 450x - 1/100x^2 - (500 + 200x)

P(x) = 450x - 0.01x^2 - 500 - 200x

P(x) = 450x - 200x - 0.01x^2 - 500

P(x) = 250x - 0.01x^2 – 500 …………………………………. (4)

Taking the derivative of equation (4) with respect to x, equating to 0 and solve for x, we have:

250 - 0.02x = 0

250 = 0.02x

x = 250 / 0.02

x = 12,500 items

Therefore, the firm should produce 12,500 items, x, for maximum profit.

3. If the profit function for a product is P(x) = 3600x + 60x2 – x^3 - 72,000 dollars, selling how many items, x, will produce a maximum profit?

Given;

P(x) = 3600x + 60x2 – x^3 - 72,000 …………………………. (5)

Taking the derivative of equation (5) with respect to x, equating to 0 and solve for x, we have:

3600 + 120x - 3x^2 = 0

Divide through by 3, we have:

1200 + 40x – x^2 = 0

1200 + 60x – 20x – x^2 = 0

60(20 + x) – x(20 + x) = 0

(60 – x)(20 + x) = 0

Therefore,

x = 60, or x = - 20

The negative value of x (i.e. x = - 20) will be will be ignored because it has no economic significance. Therefore, the number of items, x, that will produce a maximum profit is 60 items.