If ben works for 12 hours, how much will he be paid?

Answer: it is a porportional relationship

Step-by-step explanation: looked it up

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:

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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:

I got 4e+12 which is d

I think

Step-by-step explanation:

Answer:

[tex]4* 10^{12}[/tex] (The 2nd one)

Step-by-step explanation:

You can do 6 ÷ 1.5.

This will give you 4.

If following the exponents rule, when dividing exponents with the same base, you need to subtract the exponents.

8 - (-4) = 12

6 is your base and 12 is your exponent.

Given:

Equation of a line is

[tex]x-3y=-18[/tex]

To find:

The slope of the line perpendicular to the given line.

Solution:

The slope of the equation [tex]ax+by=c[/tex] is

[tex]Slope=-\dfrac{a}{b}[/tex]

We have,

[tex]x-3y=-18[/tex]

Here, a=1, b=-3. So, slope of this line is

[tex]m_1=-\dfrac{1}{-3}[/tex]

[tex]m_1=\dfrac{1}{3}[/tex]

Product of slopes of two perpendicular lines is -1.

Let slope of perpendicular line is [tex]m_2[/tex].

[tex]m_1\cdot m_2=-1[/tex]

[tex]\dfrac{1}{3}\cdot m_2=-1[/tex]

[tex]m_2=-3[/tex]

Therefore, the slope of the perpendicular line is -3.

Answer:

x=3

Step-by-step explanation:

solution 1:x=6x-15    

              5x=15

                x=3

solution 2:2x=4x-6

                  2x=6

                    x=3

Answer:

12 cm

Step-by-step explanation:

8 divided by 4 is 2

6 x 2 = 12

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:

34 degrees

Step-by-step explanation:

Answer: Im pretty sure it's 6

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 ^^

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

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The equivalent expression is 3i.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

As we know,

When there is a minus in square root

Here,  comes iota(i)

So,[tex]\sqrt{-9}=3i.[/tex]

The equivalent expression is 3i.

Learn more about expressions:

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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:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x  =  − 9 /25

Decimal Form:

x  =  − 0.36

I hope this helps! Have a great day!

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:

the first three go on standard the 4th one i can't see it fully

Step-by-step explanation:

Answer:

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

Answer:

2:3:5

Step-by-step explanation:

Here, we are going to be using direct numbers from the ratio

Circles to triangles is; 2:3

So for 200 circles, there are 300 triangles

Triangles to rectangles ; 2:5

300 triangles, there are 500 rectangles

Circles to triangles to rectangles is thus;

200: 300:500

= 2:3:5

Answer:

A

Step-by-step explanation:

2 + 3 = 5, then + 5 = 10

You do whatever is in the parentheses first, so 3 + 5 = 8, and then add 2 to get 10. This is the same as the answer we got in the original question, so A is the correct answer.

Answer:

f(x) and r(x)

Step-by-step explanation:

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:

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!!

Answer:

6x+10

Step-by-step explanation:

6 left and go up 10 and thats the point

Answer:

Option (3)

Step-by-step explanation:

If the sides of a triangle are unequal then the measure of sides opposite to these angle will be in the order from least to greatest.

In ΔABC,

m∠CAB = 180°- (m∠B + m∠C)

        = 180° - (25° + 27°)

        = 180° - 52°

        = 128°

Since, ∠CAB > ∠ABC  ∠ACB

Therefore, a > b > c ---------(1)

Now from ΔADB,

m∠BAD + m∠ADB + m∠DBA = 180°

32° + m∠ADB + m∠35° = 180°

m∠ADB = 180° - 67°

             = 113°

Since, m∠ADB > m∠DBA > m∠BAD

Therefore, c > d > e -------(2)

Combining both the inequalities,

a > b > c > d > e  

Option (3) will be the answer.