Mathematics High School

A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.

What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction

Answers

Answer 1

Answer:

1/3

Step-by-step explanation:

Answer 2

[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Related Questions

Anyone know the answer

Answers

Step-by-step explanation:

-2g(1+g)

-2g - 2g²

(-2)g - (2)g²

Calculate the Theoretical probability of the following experiments.

Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***

Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.

What is the probability that she will NOT randomly take out two oranges in a row?

What is the probability that she will NOT randomly take out two grapefruits in a row?

What is the probability that she will NOT randomly take out two apples in a row?

What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?

Answers

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])

n= -3
p=5

need urgent help
​

Answers

Answer:

-16.

Step-by-step explanation:

2/3 * (-3) * (4*5 + 6 - 2(-3)^2)

= -2(20 + 6 - 18)

= -2 * 8

= -16.

which method is best for solving the system of equations,

3x+2y=4

-3x+y=2

Answers

The method which is best for solving the system of equations when you remove one variable by adding them is B Elimination

To answer the question, we need to know what system of equations are

What are system of equations?

System of equations are pairs of equations that contain two unknowns

Ways of solving system of equations

We have different ways of solving systems of equations which include

Guess and CheckEliminationGraphing and Substitution

Since we have the system of equations

3x + 2y = 4

-3x + y = 2

The method which we can use to remove one variable by adding them is the elimination method.

Adding them, we have

3x + 2y = 4

+

-3x + y = 2

3y = 6

y = 6/3

y = 2

So, the method which we can use to remove one variable by adding them is B Elimination

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The diagram shows a rectangle. The area of the rectangle is 310 m². Work out the value of w when 5x-9 is the length and 3x+7 is the another length​

Answers

Answer:

w = 10

Step-by-step explanation:

First we take the two values for the breadth of the rectangle

So:

5x - 9 = 3x + 7

now we solve this equation as follows:

5x - 3x = 9 + 7

2x = 16

x = 8

now that we have found the value for x, we can substitute it in the equation, 5x - 9,or in the equation, 3x + 7.

when we substitute x in any of these equations, we get

5(8) - 9 = 31

3(8) + 7 = 31

now that we have the value for the breadth we can form the following equation:

31 × w = 310

31w = 310

w = 310/31 = 10

Answer:

10

Step-by-step explanation:

Firstly, we find the value of X

since 5X-9 and 3X+7 are lenghts

5X-9= 3X+7

5X-3X= 7+9

2X = 16

dividing bothsides by 2

2X/2= 16/2

X = 8

Hence,

5X-9= 5(8)-9= 40-9 = 31

3X+7=3(8)+7= 24+7= 31

To find the width

Area= lenght×width

310= 31×w

31w= 310

w= 310/31

W= 10

8. Resuelve los siguientes problemas:
a) Cinco trabajadores de una empresa reci-
ben salarios de $1 200, $1 500, $1 600,
$1 300 y $2 500. ¿Cuál es el promedio
salarial?

Answers

see the attachment photo!

If sin Q = 4/5, cos P + cos Q

Answers

The value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know that:

P + Q are complementary, which means that

P+Q = 90°

Then R is a right angle, i.e. it measures 90°.

sin(90-x) = cos (x)

cos(90-x) = sin (x)

Then sinQ = 4/5  

cos(90-Q) = cosP = 4/5

Now sin²(P) + cos²(P) = 1

sin²(P) = 1 - cos²(P)

sin²(P) = 1 -[4/5]² =9/25

sin(P) = 3/5

cos(Q) = sin(P) = 3/5

cos(P) + cos(Q) = 4/5 + 3/5 = 7/5

Thus, the value of the cos P + cos Q is 7/5 if sin Q = 4/5 after applying the identities of trigonometric.

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which unit of measure would be appropriate for the area of a bulletin board that is 2 meters tall and 6 meters wide

Answers

Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.

Is this relation a function? Justify your answer.

Answers

Answer:

Can't see the problem. Send a picture of it.

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