factor 1/2 out of 1/2x + 9/2

The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The total number of books will be

Total books = 5 + 7 + 8

Total books = 20

The total number of the event will be

[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]

The favorable event will be

[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]

The probability of choosing three mysteries books will be

[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

D

Step-by-step explanation:

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?

not choosing a mystery

choosing at least one mystery

choosing three mysteries

not choosing all mysteries

D is the right answer

Answer:

No

Step-by-step explanation:

numbers with decimals that terminate or repeat are not irrational. they are rational.

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

Answer:

62.28divided by 0.75 = 83.04

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Answer:

(B) is the answer of your question

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

Answer:

AC=18.1cm

Step-by-step explanation:

When we subtract 11-4=7cm  we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

Answer:

d because a straight line has the angle of 180

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Answer:

[tex]V = 9878.44 in^3[/tex]

Step-by-step explanation:

The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.

[tex]V = base * h[/tex]

The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.

The area of a circle is [tex]\pi r^2[/tex]. If we put that into our equation we get the volume of a cylinder.

[tex]V = \pi r^2 *h[/tex]

Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.

[tex]r = 11in\\h = 26in[/tex]

Plug these values into the equation.

[tex]V = 3.14(11in)^2 * 26in[/tex]

Calculate this, and you get [tex]V = 9878.44 in^3[/tex]

Answer:

-1/15 is the slope

Use the y2-y1/x2-x1 formula and plug in the variables

x - 13 < - 11

x < - 11 + 13

x < 2

[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

Answer:

C because the answer is right

Answer: 41

Step-by-step explanation:

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²

Answer:

Given dimensions of a rectangular dining table:

If a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:

[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]

                [tex]=4.5 \textsf{ units}[/tex]

[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]

                 [tex]=4 \textsf{ units}[/tex]

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Answer:

17/15

Step-by-step explanation:

2 5/6 x 2/5

convert 2 5/6 into improper fraction

17/6 x 2/5

cancel out the greatest common factor which would be the 6 and the 2

17/3 x 1/5

multiply straight across

17/15

could also be written as 1 2/15 or 1.13

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Solving :

Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS