A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a meeting with the principal, what is the probability that the first officer chosen is a girl and the second is a boy? please help

Answer:

2 and 5

Step-by-step explanation:

Answer:

[tex]10\left(h+3+5j\right)[/tex]

Step-by-step explanation:

[tex]10h+30+50j\\10h+3\cdot \:10+5\cdot \:10j\\10\left(h+3+5j\right)[/tex]

Answer:

10(h+3+5j) and 2(5h+15+25j

Step-by-step explanation:

To factor means to rewrite an expression as a product. Let's try dividing the expression then we find if its equivalent or not and there is the answer ;)

mark brainliest

Answer:

Account 1 yields greater return.

Step-by-step explanation:

Lets solve for the first formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

First, change 6.5% into a decimal:

6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065

Now, plug in the values for Account 1:

[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]

[tex]A=5,687.51[/tex]

Now solve for Account 2:

Change 6% into a decimal:

6% -> [tex]\frac{6}{100}[/tex] -> 0.06

Now plug in the values:

[tex]A=3,000e^{0.06(10)}[/tex]

[tex]A=5,466.36[/tex]

Account 1 yields better money after 10 years.

Answer:

[tex]5\frac{2}{5}[/tex]

Step-by-step explanation:

brainliest?

Answer:

2/5

Step-by-step explanation:

formula =numerator (top number) divided by denominator (bottom number), remainder over denominater. = 27 divided by 5 ( = 5 ) and 2 over 5. hope this answers your question :)

Answer:

You would do 18/2 first.

Step-by-step explanation:

In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.

Answer:

D

Step-by-step explanation:

[tex]\frac{1}{18}[/tex]

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].

Number of white socks [tex]=6[/tex]

Number of black socks [tex]=4[/tex]

Number of brown socks [tex]=2[/tex]

A brown sock is picked and replaced  then a black sock is picked.

Probability that a brown sock is picked and replaced  then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]

           [tex]=\frac{1}{3}\times \frac{1}{6}[/tex]

           [tex]=\boldsymbol{\frac{1}{18}}[/tex]

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Answer:

D. Side FG is two times the length of side PQ.

Step-by-step explanation:

Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.

Answer:

-3/2

Step-by-step explanation:

That is the answer on Khan.

The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2

Used the concept of the slope of the line which states that,

The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,  

[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]

Given that,

The graph of a line is shown.

Let two points on the graph be (0, 2) and (2, - 1).

Hence, the slope of the line is,

[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]

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

So, the slope of the graph is - 3/2.

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The population is all the students in the school.

The sample is the 50 students that were asked if they were going to the game.

Since i do not know the amount of people in the school I will tell you another thing.

Every 50 students that are surveyed 10 are going to the game and 40 are not so 10/50 are going to the game or 1 in 5 students will go to the game (1/5)

So take the amount of people in the school and do this -

Say there are 200 that would be 40 people going to the game because

200 / 50 = 4 that would be 4 surveys (that would be 10 people from each survey going to the game) So, 4 x 10 (10 from each survey) Would be 40 people so use this to find you're answer I hope it helps you.

Start by dividing the total people in the school by 50 and for whatever number you get multiply it by 10.

Answer:

356

Step-by-step explanation:

.55*647=356

Answer:

About 14.33 inches²

Step-by-step explanation:

To find the volume of the cereal box, we need to multiply the length, width, and height by each other:

2*5.33333...*10.75=114.66...

Now we divide the volume by the serving amount, 8.

114.66.../8=14.33...

Each serving is about 14.33 in²

Okay, First Of all, the dude above me is wrong.

The Correct Answer Is 14 1/3

Explanation;

5 1/3 = 16/3

10 3/4 = 43/4

Now let's do the math:

43/4 * 5 1/3 = 688/12

688 divided by 12 = 57 R 4 = 57 4/12

57 4/12 = 57 1/3

57 1/3 divided by the number of servings (8) = 14 1/3

So, 14 1/3 is the amount of volume each serving takes up.

The phrase 'A number x divided by 3 is at most 5' is represented by the inequality x/3 ≤ 5. When solved, this gives x ≤ 15, indicating x can be any number up to and including 15.

The given word problem relates to the concept of inequalities in mathematics, specifically linear inequalities. In the phrase 'A number x divided by 3 is at most 5', 'at most' translates to 'less than or equal to' in mathematical terms. Thus, this statement translates to the inequality x/3 ≤ 5.

To find the range of possible values for x, you can solve this inequality. By multiplying each side of the inequality by 3 (the inverse operation of division), you would get x ≤ 15. This means that x can be any number less than or equal to 15.

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Answer:

B. 68 feet

Step-by-step explanation:

So you realize that 30 + 30 + w + w = P. We likewise realize the territory is 240 square feet. Gap 240 by 30 to discover the width of the territory. 240/30 = 8. w = 8. So include 30 + 30 + 8 + 8 to find that P = 76. Notwithstanding, recall that George is utilizing some portion of his home as a divider rather than a fence. So take away 8 from 76 to get 68 ft. George will require 68 ft. of fencing for his dog run.

Answer: (B) 68.

Have a great day!

Answer:

2nd box: 6

3rd box for the miles: 42

4th box: 9

5th box for the miles: 60

Step-by-step explanation:

just multiply the number of gallons by six to get the number of miles and divide the number of miles by 6 to get the number of gallons. Hope this helped!

The complete table is

number of galloons   4   6   7   9

Distance                    24 36 42 54

Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant.

The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.

Given:

number of galloons   4   x   7   z

Distance                    24  36 y  54

Now, taking first

=4/24

=1/6

Now, using proportionality

1/6 = x/36

6x = 36

x= 6

By continuing this way

y= 7 x 6

y= 42

z= 54/6

z= 9

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Answer:

its true

Step-by-step explanation:

3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3

Answer:

2.(3y+4)

Step-by-step explanation:

1/2

8y-1/2.(4y -16))

3.1

4y-16=4.(y-4)

5.1 6y +8 =2•(3y+4)

final answer 2•(3y+4)

Answer:

11 hours

Step-by-step explanation:

John's velocity:  15mph

Tim's velocity: 22mph

in one hour of driving John will be 15 miles away from the starting point, and Tim will be 22 miles away from the starting point.

Thus, after one hour they will be

15 + 22 = 37 miles apart.

We can represent this on the following table:

Distance(miles)     time (hours)

              37          ⇔        1

And since we need to know the time when they are at a distance of 407 miles:

Distance(miles)     time (hours)

              37          ⇔        1

              407          ⇔        x

where x represnts the time

we solve this problem using rule of three: multiply the cross quantities on the table (407 and 1) and divide by the remaining amount (37):

x = 407*1/37

x = 407/37

x = 11

it will take 11 hours for them to be 407 miles apart.

Answer:

102°

Step-by-step explanation:

Since the triangle is an isosceles triangle, two sides are equal and angle opposite to them are also equal.

Therefore, x°+39°+39°=180°

=> x°+78° = 180°

=> x° = 180-78° = 102°

Answer:

Part 1) 12, 31, 9, 20, 36, 5, 22

Sort the data:

5, 9, 12, 20, 22, 31, 36

Median: 20

First Quartile: 9

Third Quartile: 31

IQR: 31 - 9 = 22

and

Part 2) 63, 68, 58, 77, 50, 49, 63, 73

Sort the data:

49, 50, 58, 63, 63, 68, 73, 77

Median: (63÷63)/2 = 63

First Quartile: (50+58)/2 = 54

Third Quartile: (68+73)/2 = 70.5

IQR: 70.5 - 54 = 16.5

Answer:

3x10^17

Step-by-step explanation:

its b *3 times 10 Superscript 17*

Step-by-step explanation:

Answer:

3y(y−5)

Step-by-step explanation:

I factored the expression

mark me brainliest please

Answer:

C. 14xy - 6y²

Step-by-step explanation:

The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".

Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:

2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²

The answer is C.

Answer:

∠TSR= 48°

∠RTS = 107°  

∠TRS = 25°

Step-by-step explanation:

As we know in any triangles,

We can apply The Law of Cosines , which is:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]  − 2ab cos(C)

In this situation we have:

Apply The Law of Cosines to find the angle of TRS

<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]

<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14

<=> cos(TRS ) = 0.91

<=> ∠TRS  = 25°

Apply The Law of Cosines to find the angle of RTS

<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]

<=> cos(RTS) =  ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6

<=> cos(RTS) = -0.29

<=> ∠RTS = = 107°  

So we can find the measure of angle TSR

∠TSR= 180° - 107°  - 25°

∠TSR= 48°

Using cosine law or sin law the angles of the triangle is as follows:

∠T = 107.2°

∠S = 48.6°

∠R = 24.2°

Using cosine rule,

Therefore,

14² = 6² + 11²- 2 × 6 × 11 cos T

196 - 36 - 121 = -132 cos T

cost T = 39 / - 132

T = cos⁻¹ -0.29545454545

T = 107.184793175

T = 107.2°

Therefore, let's find angle S using sine law

s / sin S = t / sin T

11  / sin S = 14 / sin 107.2

11 sin 107.2 = 14 sin S

sin S = 10.5080619833 / 14

S = sin ⁻¹ 0.75057585595

S = 48.6397771973

S = 48.6°

R = 18 0 - 48.6 - 107.2 = 24.2

R = 24.2°

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Answer:

32.42  miles

Step-by-step explanation:

you could have just added

Answer:

32.42 miles

hope this helped

Answer:

The percentage of error in the question is 75%.

Step-by-step explanation:

To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.

He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.

So the percentage of error in the question is 75%.

I hope this answer helps.

Answer:

[tex]k=5[/tex]

Step-by-step explanation:

[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]

Brainliest Appreciated!

Answer:

Length of the tape = Length of the side of the Cube = ³√ V

Step-by-step explanation:

The Volume of a cube box = s³

Where s = length of the side of a cube.

The units of a cube is given as cubic units.

From the question, we were told, a decorative tape was placed at the side of the cube.

Since the volume of a cube is designated as V,

The length of the tape is equivalent to the side of a cube.

Therefore, Since V = s³

Length of the tape = Length of the side of the cube is derived as :

V = s³

Find the cubic root of both side

³√ V = ³√ s³

s = ³√V

Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :

s = ³√V

Answer:

4[tex]\sqrt[3]{V}[/tex]

Step-by-step explanation:

This is the correct answer off imagine math

Answer:

20

Step-by-step explanation: