Owen and Bella shared a granola bar. Bella ate 14 of the granola bar. Owen ate 13 of the bar. How much of the granola bar did Owen and Bella leave uneaten? A. 57 B. 124 C. 38 D. 512

Answer:it is the third option

Step-by-step explanation:

I took the test (:

Least likely event means probability of its occurrence is minimum among other events. The least likely events from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(A|B)[/tex]

Suppose that there are two events A and B. Then suppose the conditional probability are:

We can then use the chain rule to find them, or Baye's theorem also helps in finding these probabilities.

We are given the following table of joint relative frequency:

[tex]\begin{array}{cccc}&\text{Freshmen(B)}&\text{Non-Freshmen(B')}&\text{Total}\\\text{Owns a skateboard(A)}&40&110&150\\\text{Doesn't own skateboard(A')}&210&840&1050\\\text{Total}&250&950&1200\end{array}[/tex]

We named events as A, A' and B and B' (event and their complements).

The important probabilities which are going to be used are evaluated as:
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{150}{1200} = \dfrac{1}{8}[/tex]

[tex]P(B) = \dfrac{n(B)}{n(S)} = \dfrac{250}{1200} = \dfrac{5}{24}[/tex]

[tex]P(A') = 1 - P(A) = \dfrac{7}{8}\\\\P(B') = 1-P(B) = \dfrac{5}{24} = \dfrac{19}{24}[/tex]

[tex]P(A \cap B) = \dfrac{n(A \cap B)}{n(S)} = \dfrac{40}{1200} = \dfrac{1}{30}\\\\P(A' \cap B') = \dfrac{n(A' \cap B')}{n(S)} = \dfrac{840}{1200} = \dfrac{7}{10}\\P(A' \cap B) = \dfrac{n(A' \cap B)}{n(S)} = \dfrac{210}{1200} = \dfrac{7}{40}[/tex]

Evaluating probabilities of choices given, we get:

Case 1: E = A randomly selected student who owns a skateboard is a freshmen

P(E) = ?

P(E) = P(B|A) = [tex]\dfrac{P(A \cap B)}{P(A)} = \dfrac{1/30}{1/8} = \dfrac{4}{15}[/tex]

Case 2: E = A randomly selected student who is a freshmen owns a skateboard:

P(E) = P(A|B) = [tex]\dfrac{P(A \cap B)}{P(B)} = \dfrac{1/30}{5/24} = \dfrac{4}{25}[/tex]

Case 3: E = A randomly selected student who doesn't owns a skateboard is a freshmen

P(E) = P(B|A') = [tex]\dfrac{P(A' \cap B)}{P(A')} = \dfrac{7/40}{19/24} = \dfrac{21}{95}[/tex]

Case 4: E = A randomly selected student who doesn't owns a skateboard is not a freshmen

P(E) = P(B'|A') = [tex]\dfrac{P(A' \cap B')}{P(A')} = \dfrac{7/10}{19/24} = \dfrac{84}{95}[/tex]

Thus, the least probability is for the second case.

Thus, the least likely event(the event having least probability) from the given events is: Option B: A randomly selected student who is a freshmen owns a skateboard

Learn more about probability here:

brainly.com/question/1210781

Answer: 16/9

Step-by-step explanation:

Area of circle = pi * r^2

Circle C = 16pi

Circle E = 9pi

Ratio of C to E = C/E

16pi/9pi = 16/9

The ratio of the area of circle C to circle E is 16/9.

Hence, option B is the right choice.

The area of a circle is the product of π, a constant, and the square of its radius (r). The radius of the circle is any line connecting the center of the circle to any point on its circumference (boundary).

Therefore, the area of a circle = πr².

In the question, we are asked to determine the ratio of the area of circle C to circle E, from the given diagram.

In the diagram, for circle C,

The center is at the point (-3, 1).

For radius, we choose the point (1, 1) on the circumference.

Therefore, radius = √((1 - (-3))² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(4)² = √16 = 4.

Therefore, area = πr² = π4² = 16π.

In the diagram, for circle E,

The center is at the point (4, 9).

For radius, we choose the point (1, 9) on the circumference.

Therefore, radius = √((1 - 4)² + (1 - 1)²) {using the distance formula between the point (x1, y1) and (x2, y2), given as:

d = √((x1 - x2)² + (y1 - y2)²)}.

or, radius = √(-3)² = √9 = 3.

Therefore, area = πr² = π3² = 9π.

Therefore, the ratio of the area of circle C to circle E = 16π/9π = 16/9.

Hence, option B is the right choice.

Learn more about the area of a circle at

https://brainly.com/question/22685822

#SPJ2

Answer:

adi's height = n-t inches

Step-by-step explanation:

from this question

we have Adi to be t inches shorter than sunnee.

sunnee's height = n inches tall

to get adis height, we have to subtract the height difference t from sunnee's height.

the height difference is how many inches by which Adi is shorter = t

adies height = sunnee's height, n - difference in height, t

= (n-t) inches

this expression represents adis height in inches .

Answer:

12 cm

Step-by-step explanation:

8 divided by 4 is 2

6 x 2 = 12

Answer:

c

Step-by-step explanation:

because by add and subtracting

Answer:

hello your question is incomplete attached below is the complete question

answer: f'(x) = -f'(-x)

Step-by-step explanation:

suppose f is differentiable even function

we will apply the definition of even function considering that f is differentiable

attached below is a detailed solution and from the solution it can be concluded that f' is odd everywhere in its domain, whenever f is even

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Answer:

60°

Step-by-step explanation:

Since, all sides of the given triangle are marked with identical signs.

So, measures of all sides are equal.

Therefore, it is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

So, x = 60° ( Alternate angles)

Answer:

Your answer is B

Oh and have a nice day and stay safe!

- all love from jen <3

Answer:

The answer should be B. [tex]\frac{2\sqrt{3ef}}{3f}[/tex]

Step-by-step explanation:

Answer:

783

Step-by-step explanation:

87×9=783

:) have a good day

Answer:

783

Step-by-step explanation:

you can split the 87 into two parts, multipy 80*9, which is 720, and then 7x9, which is 63. Add them up and you got 783.

Answer:

A) 6

Step-by-step explanation:

since angle a = angle c

thus,BC=BA

4x -2= 3x

4x-3x =2

x=2

AB =3x

AB = 3•2

AB=6

Answer:

Easy it 6.4 you get it by dividing.

Step-by-step explanation:

Answer:

<A = 44

Step-by-step explanation:

A triangle is 180 degrees

(x+59) + (x+51) + 84 = 180        >> add everything on the left side

2x + 194 = 180                          >> subtract both sides by 194

2x = -14                                     >> divide both sides by 2 to get x alone

x = -7

since you are finding A<, substitute

<A = x + 51

<A = (-7) + 51

<A = 44  

Answer:

y=3/2 - 3x/2 - z/2

Answer:

its A

Step-by-step explanation:

solution; mixture. Salt and water would be a solution because the salt dissolves into the water, making it chemically combined. When the iron fillings are added, it becomes a mixture because it cannot chemically combine.

Given:

The expression is

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]10+(2\times 3)^2:4\times \dfrac{1}{2}[/tex]

It can be written as

[tex]=\dfrac{10+(2\times 3)^2}{4\times \dfrac{1}{2}}[/tex]

[tex]=\dfrac{10+(6)^2}{2}[/tex]

[tex]=\dfrac{10+36}{2}[/tex]

[tex]=\dfrac{46}{2}[/tex]

[tex]=23[/tex]

Therefore, the value of the given expression is 23.

Answer: it is a porportional relationship

Step-by-step explanation: looked it up

Answer:

The blue dot is on -3.1

Step-by-step explanation:

Answer: The blue dot is -3.21

Answer:

13,000

Step-by-step explanation:

8,613 rounded is 9,000

3,885 rounded is 4,000

so 9,000 + 4,000 = 13,000

Answer:

The expressions for

a) The number of dollars John pledged

= 3.75 + 1.45m

b) The number of dollars Kiara pledged = 6.25 + 0.55m

Step-by-step explanation:

Mark is taking pledges for a bike-a-thon fundraiser.

Part A.

Write expressions for the number of dollars John pledged and the number of dollars Kiara pledged.

Let us represent the number of miles that Mark bikes = m

John pledged $3.75, plus $1.45 for each mile that Mark bikes.

$3.75 + $1.45 × m

= 3.75 + 1.45m

Kiara pledged $6.25, plus $0.55 for each mile that Mark bikes.

$6.25 + $0.55 × m

= 6.25 + 0.55m

Therefore, the expressions for

a) The number of dollars John pledged

= 3.75 + 1.45m

b) The number of dollars Kiara pledged = 6.25 + 0.55m

Answer:

12 hits

Explanation:

8/12 simplified is 2/3

18 divided by 3 = 6

1/3 would equal 6/18

2 x 6 = 12

This means 2/3 would equal 12/18

Meaning the answer is 12 I believe.

Answer:

34 degrees

Step-by-step explanation:

Answer/Step-by-step explanation:

Apply trigonometric ratio to solve for x in all problems given.

1. Reference angle = 29°

Adjacent = x

Hypotenuse = 13 m

Thus:

[tex] cos(29) = \frac{x}{13} [/tex]

Multiply both sides by 13

[tex] 13*cos(29) = x [/tex]

11.4 = x (nearest tenth)

x = 11.4 m

2. Reference angle = 63°

Opp = 18 cm

Hypotenuse = x

Thus:

[tex] sin(63) = \frac{18}{x} [/tex]

Multiply both sides by x

[tex] x*sin(63) = 18 [/tex]

Divide both sides by sin(63)

[tex] x = \frac{18}{sin(63)} [/tex]

x = 20.2 cm (nearest tenth)

3. Reference angle = 71°

Opp = 14 ft

Adjacent = x

Thus:

[tex] tan(71) = \frac{14}{x} [/tex]

Multiply both sides by x

[tex] x*tan(71) = 14 [/tex]

Divide both sides by tan(71)

[tex] x = \frac{14}{tan(71)} [/tex]

x = 4.8 ft (nearest tenth)

Answer:

340

Step-by-step explanation:

Multiply both sides by 20.

Answer:

f=340

Step-by-step explanation:

17 times 20 equals 340

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!

x²+4x+4 is factorable

Answer:

1.55

Step-by-step explanation:

Answer:

1 11/20

Step-by-step explanation:

Sorry I don't have time to explain! Hope this helps and have a good day ^^