What is the theoretical probability (as a decimal rounded to the nearest hundredths place) of wearing one unique outfit?

0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

Find the surface area of a cylinder

whose radius is 5 cm and whose

height is 10 cm.

[tex] \bullet [/tex] Radius of a cylinder (r) is 5 cm

[tex] \bullet [/tex] Height of a cylinder (h) is 10 cm

The surface area of a cylinder

We know the formula of surface area of a cylinder is –

So, putting the value of r = 5 cm and h = 10 cm we get,

2πr(r + h) = 2 × [tex] \frac{22}{7} [/tex] × 5(5 + 10)

= [tex] \frac{220}{7} [/tex](5 + 10)

= [tex] \frac{220}{7} [/tex] × 15

= [tex] \frac{220 \: × \: 15}{7} [/tex]

= [tex] \frac{3300}{7} [/tex]

= 471.43 cm²

Answer:

C

Step-by-step explanation:

The surface area can be found through the formula

SA=2A+(a+b+c)h

in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.

Answer:

More Expensive

Step-by-step explanation:

If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.

Answer:

It's Positive

Step-by-step explanation:

9514 1404 393

Answer:

  a) max height: 210.25 feet

  b) time: 7 seconds

Step-by-step explanation:

Since this is about graphing quadratics, it seems appropriate to use a graph produced by a graphing calculator. It shows ...

  maximum height: 210.25 feet

  time to hit the ground: 7 seconds

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

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Answer:

( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x

=3.14 * 3.14 * 3.14 * x * x * x * x

=30.959144 * x^4

=30.959144x^4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

30.959144(x^4)

Answer:

Steps:

x = √(15²-10²)

x = √(225-100)

x = √125

x ≈ 11.180

Answer:

1/5

Step-by-step explanation:

there are 10 in total which means for every toy there is a 10 percent chance. Because he has 2 taxis, there would be a 20 percent chance which equals 1/5

Answer:

8

i hope this will help you

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Answer:

D. The median for box plot X is the same as the lower quartile as box plot Y.

Step-by-step explanation:

If you look at box plot X, its median is at 6. Also, the lower quartile for box plot  Y is 6 as well. That means that D. is the correct answer. Hope this helps!

Answer:

Below

Step-by-step explanation:

I'm pretty sure it may be B, and D

D because when you look at it X's plot does have the median line up with Y's Lower quartile

And using the rule of crossing out answers that are incorrect I am left with B, because the medians and different and X's lower quartile is smaller than Y's

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

9514 1404 393

Answer:

  x = ∛4 ≈ 1.587 m

  y = (∛4)/2 ≈ 0.794 m

Step-by-step explanation:

Short answer:

An open-top box will use minimum material when it has the shape of half a cube. That is, the x-dimensions will be ...

  x = ∛(2·2 m³) = ∛4 m

The y-dimensions will be half that:

  y = x/2 = (∛4)/2 m

__

Long answer:

The volume is ...

  V = x^2·y

so the y-dimension is ...

  y = V/x^2

The area of the sides and bottom will be ...

  A = 4xy + x^2

  A = 4x(2/x^2) +x^2 = 8/x +x^2

The area is minimized when the derivative of this is zero.

  A' = 0 = -8/x^2 +2x

  x^3 = 4 . . . . . . . divide by 2 and rearrange

  x = ∛4 . . . . . . . . cube root

  y = 2/x^2 = 2∛4/4

  y = (∛4)/2

___

Additional comment

If you follow the numbers through, you see that the value under the cube-root radical is twice the volume. This is the result we used in the "short answer."

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Answer:

edfghjnsdfghjkm

Step-by-step explanation:

Answer:

1.653

Step-by-step explanation:

Write log45 as a product of its prime factors

log45= log3^2 * log5

Substitute the given logarithms to the respective numbers.

Remember the laws of logaarithms that * changes to +

log 45 = 0.477*2 + 0.699

You will find that log 45 = 1.653

From the given logarithmic values the value of log45 derived as 0.1590.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.

Given that, log5=0.699 and log3=0.477.

Here, log45 can be written as log9×log5=log3²×log5

= 0.477²×0.699

= 0.1590

Therefore, the value of log45 is 0.1590.

To learn more about the logarithmic equation visit:

https://brainly.com/question/14406101.

#SPJ2

Step-by-step explanation:

put 8 in both boxes

then it's

40-2(7)

40-14 = 26

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

Answer:

The value of the parameter of interest in this setting is 0.5747.

Step-by-step explanation:

The parameter of interest is:

The proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms in order to prepare for issues arising from water quality in the aftermath of hurricanes.

A random sample of 174 small- to medium-sized streams is selected and it is found that 100 of them have runoff from hog farms.

This means that the value of the parameter of interest is:

[tex]p = \frac{100}{174} = 0.5747[/tex]

The value of the parameter of interest in this setting is 0.5747.

Answer:

common ratio is 9

mark me brainilest:)

Step-by-step explanation: