match each term with its definition,

Answer:

d

Step-by-step explanation:

P(boy above average grades) P(above average grades) is the right answer. The correct option is C.

The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).

We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.

A. Boy with above-average grades equals a boy.

This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.

B. Boy with above-average grades equals P with above-average grades

This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.

P (boy with above-average grades) C (boy with above-average grades)

This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.

D. P(boy | grades over average) = P(boy)

This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.

Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).

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Answer:

52.91 :)

Step-by-step explanation:

Answer:

x = 4.8

Step-by-step explanation:

Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.

Thus:

QP/KJ = PS/JM

Substitute

8/5 = x/3

Cross multiply

5*x = 3*8

5x = 24

x = 24/5

x = 4.8

Answer:

1

Step-by-step explanation:

3×60=180

180÷45=4

4-3=1

Answer:

33232.92

Step-by-step explanation:

Answer:

285

Step-by-step explanation:

570/2=285

true or false means theres a 1/2 possibility you guess right thats why you divide by 2

The mean number of correct answers to 570 true or false questions will be 285.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

For the true or false, the probability of getting correct is given as,

p = 1/2

There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,

E = 570 x (1/2)

E = 285

The mean number of correct answers will be 285.

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Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Answer:

x=13

y=14

Step-by-step explanation:

We know that angle JNK is equal to angle MNL. We also know that angle JNK and angle KNL are supplementary.

Knowing this, we can write two equations: [tex]4x-1=3y+9[/tex] and [tex](4x-1)+(2x+6y+19)=180[/tex]. We can solve for y in the first equation. Subtracting 9 from both sides gives us [tex]4x-10=3y[/tex]. Dividing both sides by 3 gives us [tex]\frac{4x-10}{3} =y[/tex].

We can plug that in to the second equation to get [tex](4x-1)+(2x+6(\frac{4x-10}{3} )+19)=180[/tex]. Expanding the second parenthesis, we get [tex]2x+8x-20+19[/tex] which equals [tex](10x-1)[/tex]. We now have [tex](4x-1)+(10x-1)=180[/tex]. Expanding gives us [tex]14x-2=180[/tex]. Adding 2 to both sides gives us [tex]14x = 182[/tex]. Dividing both sides by 14 gives us [tex]x=13[/tex].

We can now plug 13 into the above equation to solve for y. [tex]y= \frac{4*13-10}{3}[/tex] Solving that gives you [tex]y=14[/tex].

Answer:

oc2

Step-by-step explanation:

because

Answer:

not a straight line

Step-by-step explanation:

Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.

Nonlinear means "not like a straight line".

Answer: not a straight line

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

4x^5 - 4x³ - 24x

Step-by-step explanation:

Answer:

4x^5 - 4x³ - 24x

Step-by-step explanation:

Distribute

[tex](4x^3+8x)(x^2-3)[/tex]

[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]

Distribute

[tex]4(x^{2} -3)x^{3} +8x(x^{2} -2)[/tex]

[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]

Distribute

[tex]4x^{5} -12x^{3} +8x(x^{2} -3)[/tex]

[tex]4x^{5} -12x^{3} +8x^{3} -24x[/tex]

Combine like terms

4x^5 - 4x^{3}  - 24x

Answer:

81 feet tall

Step-by-step explanation:

2*12=24

24+3=27

27*3=81

26/100

Step-by-step explanation:

26%

44+30+26=100

26/100

0.26

26%

Answer: 480

Step-by-step explanation:

We can create a ratio for this!

We have:

[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]

We can use substitution to input the information we already know:

[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]

Using cross multiplication, we get:

1 200(12) = 30x

14,400 = 30x

[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]

x = 480

Hope this helps! :)

The number of students expect to have hamburgers for lunch is 225 students.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Ramirez's survey on students

Number of students have pizza = 30

Number of students have macaroni and cheese = 17

Number of students have a hamburger = 12

Number of students have chicken fingers = 5

Total number of students = 64.

Now, Mrs. Ramirez surveys all 1 200 students.

Then number of students expect to choose hamburgers for lunch can be found by,

[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]

Let x be the number of students expect to have hamburgers.

⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]

⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]

⇒ [tex]x=225[/tex]

Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.

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Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Answer:

First one is:

1 + 8 + 64 + 512 + 4096

Second one is:

73

Step-by-step explanation:

Answer:

DIVIDE THE TWO ANWSER

Step-by-step explanation:

The probability of pulling a red marble and then pulling a green marble is,

⇒ 3 / 5

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

You pull a marble from a bag with 20 red 20 white and 10 green marbles.

Here, Total number of marbles = 20 + 20 + 10

                                                = 50

Thus, The probability of pulling a red marble is,

⇒ 20 / 50

⇒ 2 / 5

And, The probability of pulling a green marble is,

⇒ 10 / 50

⇒ 1 / 5

Therefore, The probability of pulling a red marble and then pulling a green marble is,

⇒ 2 / 5 + 1 / 5

⇒ 3 / 5

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Answer:Hi i think its 50 x 16= ur answer think about that hopes this helpp!!! :D

Step-by-step explanation:

Answer:

the answer is h=7

Step-by-step explanation:

The length of side AB in the given triangle is 22.6. The correct option is the first option 22.6

From the question, we are to determine the length of side AB in the given triangle.

Using the law of sines, we can write that

AB/sinC = BC/sinA

From the diagram,

C = 50°

BC = 19

A = 40°

Thus,

AB/sin50° = 19/sin40°

AB = (19 × sin50°) / sin40°

AB = 22.6433

AB ≈ 22.6

Hence, the length is 22.6

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Answer:

2x^2 + 7x + 3 is the area of the rectangular piece of wood.

Step-by-step explanation:

Here,

Length ( l ) = x + 3

Breadth ( b ) = 2x + 1

Formula : -

Ar ( rectangle ) = lb

lb

= ( x + 3 ) ( 2x + 1 )

= x ( 2x + 1 ) + 3 ( 2x + 1 )

= 2x^2 + x + 6x + 3

= 2x^2 + 7x + 3

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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Answer:

Step-by-step explanation:  Given is a function as 1 divided by the quantity x minus 10 squared

Mathematically translating we get

the function

Since the function become undefined at x=10 we get

vertical asymptote is

x=10

Limit x tends to 10 of f(x) will exist since both limits are equal

This is because let x tends to 0 from left.

Then we have

f(x) =  

Right limit also will be +infinity

This is because the curve is symmetrical about x=10 and hence limit would be +infinity.

Answer:

62/100 multiplied by 650 which is 403 fruits left

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.