According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen at random, what is the probability that all 3 have chronic insomnia?

[tex] \rm \color{lime}(2,10)[/tex]

step-by-step explanation:

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6[/tex]

[tex]\rm \color{lime}x = - \frac{4}{2x( - 1)} [/tex]

[tex]\rm \color{lime}y = - {x}^{2} + 4x + 6,x = 2[/tex]

[tex]\rm \color{lime}y = 10[/tex]

[tex] = \rm \color{hotpink} (2,10)[/tex]

hope it helps

Answer:

y = - (x - 2)² + 10

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

y = - x² + 4x + 6 ( factor out - 1 from the first 2 terms )

y = - (x² - 4x) + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 4x

y = - (x² + 2(- 2) + 4 - 4) + 6

y = - (x - 2)² + 4 + 6

y = - (x - 2)² + 10 ← in vertex form

Answer: See below

Step-by-step explanation:

The usage of passive income instead of collecting and saving your money without risking a loss through investments:

Passive income is money that you make without having to perform a lot of "active" work to keep it. In essence, you may complete the most of the work upfront and put in some extra effort along the secondary source of income.

Step-by-step explanation:

The answer is 33/5.

To multiply fractions, you multiply the numerators to get the numerator of the product and multiply the denominators to get the denominator of the product and then simplify the product. Also, you can make a whole number, which is 28 in this case, into a fraction by putting it over 1. So, that would be 28/1.

First, I multiplied the numerators:

4(11)(28)(9) = 11088

Next, multiply the denominators (and im assuming that last one is a 48, its a bit covered up by the mouse):

5(7)(1)(48) = 1680

So that's 11088/1680

Lastly, you simplify this to get 33/5 (I just used desmos scientific calculator for all of this)

Hope that helps :]

Answer:

No

Step-by-step explanation:

No, because the rates are not the same for X and Y

Answer:

To solve your inequality using the Inequality Calculator, type in your inequality like x+7>9. The inequality solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

F has the smalled minimum value

Step-by-step explanation:

[tex]f(1) = 3^x-3 = 3^1-3=3-3=0[/tex]

To solve f(1), we simply plug 1 into all the x's position

             --> the exponent of 3 in this case

Answer:

58º

Step-by-step explanation:

angles on a straight line = 180º

90 + 32 = 122

180 - 122 = 58

Answer:

2

Step-by-step explanation:

All sides of a rhombus are congruent

x = 3x - 12

-2x = -12

x = 6 (all sides = 6)

8 - y = 6

y = 2

Answer:

1 coin is left

Step-by-step explanation:

5 coins + 4 coins = 9 coins - 8 coins = 1 coin so 1 coin is your answer.

Answer:

1

Step-by-step explanation:

5+4=9
9-8 = 1
Therefore, there is 1 coin in the jar.

Answer:

Renters insurance protects your belongings from loss, damage, or destruction following things like burglaries, fires, tornadoes and other covered events. Plus, renters insurance also protects your liability (and your money) if someone is injured at your rental home or apartment.

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

I'd put chemical or physical process in which rocks are worn down by in erosion and carrying away of soil rock and other materials in weathering.

Hope this helps

Answer:

∞

Step-by-step explanation:

1. Simplify the expression

[tex]0^-4[/tex]

2. Simplify exponents and square roots

[tex]0^-4[/tex]

[tex]_{ \infty}[/tex]

Why learn this:

Terms and topics:

[8] The hypotenuses must be congruent, DE and IJ

     HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.

     Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.

[9] Another leg, AC and YX

     LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.

[10] A leg, DE and E? or FE and E?

     LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.

-> The question marks are because the letters are too blurry to read.

Answer:

225

Step-by-step explanation:

A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.

Answer:

30%

Step-by-step explanation:

To solve this, you must first find the areas of the circle and the pentagon within it.

Find the area of the circle:

The area of a circle is πr² and the circle in the diagram is shown to have a radius of 4cm, so to find its area, plug 4 into the equation

A = πr²  ⇒  A = π(4)²  ⇒  A = 16π

Find the area of the pentagon:

To find the area of a pentagon, you should first know that the shape is simply five triangles combined into one shape. (See Image)

With the formula for the area of a triangle in mind, it should be known that the pentagon's side acts as a base and the pentagon's apothem (dotted line) acts as a height for each triangle. According to the diagram, the base length is 4.7 and the height is 3.2. To find the area of any of the triangles, plug these values into the formula for the area of a triangle:

A = [tex]\frac{1}{2}[/tex]bh  ⇒  A = [tex]\frac{1}{2}[/tex](4.7)(3.2)    ⇒  A = 7.52 cm²

Since a pentagon is made of five of these, simply multiply the area you just found by 5 to find its area:

A = 7.52 * 5 = 37.6 cm²

Find the area of the white parts:

To find the area of the white parts, subtract the area of the pentagon from the area of the circle:

16π - 37.6 = 12.67 cm²

Now all that's left is to find the probability, all you have to do is

Divide the area of the white by the area of the circle:

12.67 / 16π = .25, which is .3 rounded to the nearest tenth.

That means that the probability that a randomly selected point within the circle falls in the white area is 30%

Hope this worked!

Answer:

can you show a picture

Step-by-step explanation:

it depends on the situation and the problem but normally you would use the other numbers to figure out what number goes in "x"

Need more information to solve for x.

Answer:1. 12:6         equivalant ratio:24:12

Step-by-step explanation:

12:6 means twelve to 6 and to find a equivalant ratio means to find a number that 12 and 6 can equal so it would be 24:12 which i multiplied by 2.

Answer:

You want to set up an equation that will match the word problem. Let's call the amount of the first brand, F, and the amount of the second brand, S.

We want the total mixture to be 310mL so: F + S = 310

Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)

Now, we can solve the system of equations using substitution.

F + S = 310

.06F + .11S = .08(310)

F = 310 - S      [solve 1st equation for F]

.06(310 - S) + .11S = .08(310)     [substitute into 2nd equation]

18.6 -.06S +.11S = 24.8

.05S = 6.2

S = 124

F + 124 = 310     [substitute answer for S back into original equation]

F = 186

Answer: To make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.

Answer:

the slope is m= 2/3

if you need it for y is y=2/3x-20/3

Answer:

Step-by-step explanation:

Answer:

Andrew is 30 years old. Hunter is 65 years old.

Step-by-step explanation:

we can set up 2 equations:

h = 35 + a

h+5 = 2(a+5)

Solve for h in the second equation.

h + 5 = 2a + 10; h = 2a + 5

now set the 2 equations = to each other

2a + 5 = 35 + a

solve for a by combining like terms

a + 5 = 35

a = 30

so Andrew is 30 and Hunter is 35 + 30 = 65.

Sp in 5 years Andrew is 35 and Hunter is 70 (twice A's age)

Answer:

So that means that

h=35+a+5

because he already is 35

we add Andrew's Age

And we add 5 for 5 extra years

Therefore,

35+5=40.

40+a = 2a+10

Substract the a

40 = a+10

Subtract 10

30 = a

If Andrew's age is 30, going back to our first equation,

Hunter's Age = 65

Andrew's Age = 30

Hope it helped!

Answer:

385 miles

Step-by-step explanation:

Let's start by finding the unit rate (how far she can drive in 1 hour):

[tex]\frac{165mi}{3hr}[/tex]

Divide both the numerator and the denominator by 3 hours (Please note that this is essentially dividing the fraction by 1, so we are only simplifying the fraction, not changing it):

[tex]55mi/hr[/tex]

Now, using a unit converter, we can find out far she can drive in 7 hours:

[tex]7hr(\frac{55mi}{1hr})=7*55mi=385mi[/tex]

She can drive 385 miles in 7 hours

Shelly would need 5 pounds of grass seed to plant in her backyard.

Area is the amount of space occupied by a two dimensional shape or figure.

From the image:

Area of the backyard = (10 + 15) * (10 + 20) = 750 ft²

Area of triangle = (1/2) * 10 * 10 = 50 ft²

Area of small rectangle = (25 - 20) * (30 - 15) = 75 ft²

Area of shaded part = 750 - 50 - 75 = 625 ft²

1 pound of grass seed covers 125 ft², for 625 ft²:

Amount of seed = 625 ft² * 1 pound per 125 ft²  = 5 pound

Shelly would need 5 pounds of grass seed to plant in her backyard.

Find out more on area at: https://brainly.com/question/25292087

The average rate of change is the slope.

The slope is equal [tex]\frac{y2-y1}{x2-x1}[/tex], if we were to do that for each set of points, we get the slope is always 8.

Thus the average rate of change is 8.

First of all find the total area and then subtract the area of circle from the area of rectangle, It will be easier that way...

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \qquad \bf \implies \: area = length \times breadth[/tex]

[tex] \qquad \tt \blue\looparrowright \purple{area = 3 \times 4} [/tex]

[tex] \qquad \tt \blue\looparrowright \purple{area = 12 \: {cm}^{2} } [/tex]

[tex] \qquad \bf \implies \: area = \pi {r}^{2} [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times {1}^{2} } [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = \frac{22}{7} \times 1} [/tex]

[tex] \qquad \tt \red\looparrowright \green{area = 3.14 \: {cm}^{2} } [/tex]

[tex] \qquad \bf \implies \: area =area \: of \: rectangle - area \: of \: circle[/tex]

[tex] \qquad \tt \pink\looparrowright \orange{area = 12 - 3.14 } [/tex]

[tex] \qquad \tt \pink\looparrowright \orange{area = 8.86} [/tex]

➪ Thus, The area of the shaded region is 8.86 cm²...~

Answer:

n+(n-5)

=2n-5

n years Mary's age

n-5 years younger sisters age

Thanks!

Answer/Step-by-step explanation:

Given:

Maria is 5 years older than her younger sister.

If Maria will be n years after 7 years,

To Find:

Find their total age in terms of n.​

Solve:

n+(n-5)

n + n = 2n

2n -5

n -  years Mary's age

Therefore,  n-5 years younger sisters age

[RevyBreeze]

Answer:

Yamateh kudasai

Step-by-step explanation:

hope it helps