A bag contains marbles of which 8 are blue; 5 are red; 3 are yellow, and 4 are orange. What is the probability of randomly drawing an orange marble, replacing it, and then drawing a blue marble?

Answer:

57 i think

Step-by-step explanation:

Answer:

The officers can be chosen in 1320 ways.

Step-by-step explanation:

The order in which the officers are chosen is important(the first is president, second vice president and third secretary) which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 officers from a set of 12. So

[tex]P_{(12,9)} = \frac{12!}{9!} = 1320[/tex]

The officers can be chosen in 1320 ways.

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

Answer:

answer in picture

Step-by-step explanation:

Answer

for number 6 it should be 459

Step-by-step explanation:

Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume

Im so sorry if its wrong

Answer:

it dropped 9% from last year

Answer:

85 cm²

Step-by-step explanation:

Solve the area of the Rectangle:

A = bh

10 × 6 = 60 cm²

Solve the area of the Triangle:

A = bh × 1/2

10 × 5 = 50

50 × 1/2 = 25 cm²

Add the 2 areas together:

60 + 25 = 85 cm²

Answer:

Step-by-step explanation:

Answer:

b. 366 square inches

Step-by-step explanation:

The area of a triangle is 1/2×Base×Height. There are 2 pairs of identical triangles so you multiply each equation by 2.

2×(1/2×10×12) = 120 in²

2×(1/2×18×12) = 216 in²

120 in² + 216 in² = 336 in²

Answer:

336 square units

Step-by-step explanation:

Generally, to find the area of the given quadrilateral (which is presumably a kite), one uses the following formula,

[tex]\frac{(base)*(hieght)}{2}[/tex]

In this picture, one can see that the diagonals (dotted lines that connect opposite corners) are given, but their measurements are split up as per the segments they are divided into. In order to find the lengths of each diagonal, add up the two parts. To find the area of the figure, substitute the results into the given formula to find the area,

[tex]12+12=24\\\\10 + 18 = 28[/tex]

Substitute,

[tex]\frac{24*28}{2}\\\\=\frac{672}{2}\\\\=336[/tex]

Step-by-step explanation and Answer:

First, write statements! Then find out the operation. Very simple!

Number of burritos Chloe ate: 34

Number of burritos Lucy ate: 3

Number of burritos Chole ate more that Lucy: 34-3= 31

= Chloe ate 31 burritos more that Lucy.

Given:

[tex]y=f(x)[/tex]

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

To find:

The input when the output is – 3.

Solution:

We have,

[tex]f(x)=\dfrac{1}{2}x-3[/tex]

Substituting [tex]f(x)=y[/tex], we get

[tex]y=\dfrac{1}{2}x-3[/tex]               ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when [tex]y=-3[/tex].

Putting [tex]y=-3[/tex] in (i), we get

[tex]-3=\dfrac{1}{2}x-3[/tex]

[tex]-3+3=\dfrac{1}{2}x[/tex]

[tex]0=\dfrac{1}{2}x[/tex]

Multiply both sides by 2.

[tex]0=x[/tex]

Therefore, the input is 0 when the output is -3.

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

PROCEDURE :-

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

⇒ x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

Answer:

The correct answer is 30 in.

Step-by-step explanation:

In order to find the diagonal length of the face of the suitcase, you need to use the Pythagorean Theorem, a formula used to calculate the sides of a right triangle. Since the length and width of the suitcase are 24 in. and 18. respectively, that means the diagonal length will be equal to [tex]\sqrt{24^2+18^2}[/tex] = [tex]\sqrt{576+324}[/tex] = [tex]\sqrt{900}[/tex] = 30 inches.

Answer:

3?

Step-by-step explanation:

Answer:its a

Step-by-step explanation:-4.5+4.4 is -0.1 so if you add that to -6.7 you get

-6.8 + 6.8 =0

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

Answer:

31.

Step-by-step explanation:

π(18)l = 558π

l = 558/18 = 31

Therefore the answer is 31.

Answer:

the line of symmetry is (-1,0) and the vertex is (0,4)

Step-by-step explanation:

I like to plug in all of my coordinates into a graphing calculator in order to find the answer.

Hope this helps...

Answer:

45%

Step-by-step explanation:

27/60 = x/100

Solve for x

x = 45

Answer:

x ≥ 2

Step-by-step explanation:

Shaded circle means ≥ or ≤ . Since the arrow is pointing right, it's showing 2 is greater than or equal to x, meaning ≥ .

Answer:

57

Step-by-step explanation:

90 - 40% = 57

Answer:

The shoes would be $57

Step-by-step explanation:

To calculate percentage you use the equation:

P% x N = A

Before we use it we convert the number 40 into the tenths place of a decimal, 0.40.

Now we use it!

.40 x 95 = 38

38 would be 40%, so we remove it from the last total aka 95

95 - 38 = 57

Answer:

54 degrees

Step-by-step explanation:

So, lets go over what we know.

Angle PRS is 90 degrees(we can tell by the small square shape inside of the angle)

We also know that Angle PR is 36 degrees.

We need to find x, angle RS.

To do this, lets subtract Angle PR from Angle PRS, or 36 from 90:

90-36

=

54

Since Angle PRS - Angle PR = Anlge RS, this means:

90-36=54

So 54 is our answer!

Hope this helps!

Answer:

83 is still the mode

Step-by-step explanation:

The maximum possible value for the new mode is 83.

The data value that is repeated the most in the data set is called the mode of the given data set.

Given is that Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80.

Initially, the mode of the class of 18 students is 83. This means that most of the students scored the 83 marks in the test. After four students took the test, the maximum probability that the mode will remain 83 is the highest. Also, one of the four numbers scored 83 itself.

Therefore, the maximum possible value for the new mode is 83.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ2

Answer:

First Blank: 4*2 = 8

Second Blank: 6*2 = 12

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

Answer:

I have no clue my guess tbh 4 to 8 and 6 to 12

Answer:

560 Tickets

Step-by-step explanation:

40 tickets in 30 minutes will become 80 tickets in 60 minutes (an hour)

Multiply 80 by 7 to get 560

Answer: 41 vans will be needed.

Step-by-step explanation:

There are a total of 492 campers. We know that each van can hold a total of 12 passengers.

So, simply divide 492 by 12 to get the total amount of vans needed.

492/12 = 41 vans.