Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph.What is the probability that one girl and two boys will be chosen

Step-by-step explanation:

I assume that one a student is picked for an oral exam, the same student will not be picked again.

the total number of possibilities to pick 14 students out of 18 is C(18, 14) = 18!/(14! × (18-14)!) = 18!/(14! × 4!) =

= 18×17×16×15/(4×3×2) = 18×17×2×5 =

= 3,060

how many of these possibilities contain exactly 8 girls and 6 boys ?

so, we choose 8 out of the 10 girls, and 6 out of the 8 boys.

that means

C(10, 8) × C(8, 6) = 10!/(8! × 2) × 8!/(6! × 2) =

= 10×9/2 × 8×7/2 = 5×9 × 4×7 =

= 45 × 28 = 1,260

so, the probability to have 8 girls and 6 boys in a random selection of 14 students out of 18 is

1260/3060 = 21/51 = 7/17 = 0.411764706... ≈ 0.412

Answer:

The volume of this rectangular prism is 96 cubic centimeters

Step-by-step explanation:

The volume of a rectangular prism = Length × width × height

= 8 × 6 × 2

= 96 cubic centimeters

Answer:

36 servings

Step-by-step explanation:

1/4p = 6s

6(1/4p) = 6(6s)

1 1/2p = 36s

Answer:

The y-intercept is 6

Step-by-step explanation:

The y-intercept of a function is where the graph of an equation touches or crosses the vertical axis. This is usually the value of y when x = 0.

For this particular function, when x = 0 ⇒

f(0) = 0^2 + 4(0) + 6

= 0 + 0 + 6

= 6

Therefore, the y-intercept of this function is 6

Answer:

6

Step-by-step explanation:

the y-intercept is the last number of the equation

so because 6 is the last number, the y-intercept is 6

Answer

64

Step-by-step explanation:

4 x 4 x 4
so it's like you take 4 and 3 stage = 4 x 4 x 4

Hope it helped !
Have a nice day studying ! Mark me as Brainliest too Ty !

Step-by-step explanation:

for this we need to know the conversion rate between miles and kilometers :

1 mile = 1.60934 km

which means

1 km = 0.621371 miles

so,

70 m/h = 70×1.60934 km/h = 112.6538 km/h

compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.

the difference is

7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h

Answer:

the answer is 3/4

the answer is 3/4

Answer:

He needs 8 half-cups.

Step-by-step explanation:

hi!

Monsieur Dufour needs 8 half cups of bread dough, because 4x2=8.

The linear equation is y = (2/3)*x - 5, and the 4 points in the graph are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

A linear equation written in the slope-intercept form is:

y = a*x + b

Where a is the slope and b is the y-intercept.

In this case, we have:

a = 2/3

b = -5

So our line is:

y = (2/3)*x - 5

To find the points, we need to evaluate the line in 4 different values of x.

We will use: x = -1, 0, 1, 2.

for x = -1 we have:

y = (2/3)*-1 - 5 = -2/3 - 5 = -17/3

So this gives the point (-1, -17/3).

for x = 0 we have:

y = (2/3)*0 - 5 = -5

So this gives the point (0, -5).

for x = 1 we have:

y = (2/3)*1 - 5  = -13/3

So this gives the point (1, -13/3).

for x = 2 we have:

y = (2/3)*2 - 5 = 4/3 - 15/3 = -11/3

So this gives the point (2, -11/3).

Then the 4 points are:

{ (-1, -17/3),  (0, -5), (1, -13/3),  (2, -11/3)}

If you want to learn more about linear equations:

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Answer:

so, 168 divided by 14 = 12

Step-by-step explanation:

14 x 12 =168

Answer:

168÷14=12

12 multiplied by 14 is 168.

Answer:

here is the answer ask if theres any prob

If the polar coordinate of a point is (9, π/5). Then the cartesian coordiante will be (7.28, 5.29).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The polar coordimnate is given below.

P(9, π/5)

Then the cartesian coordinate will be

We know that the conversion of the polar coordinate to the cartesian coordinate.

(x, y) = (r cos θ, r sin θ)

Then we have

r = 9

θ = π/5

Then we have

x = 9 cos π/5

x = 7.28

y = 9 sin π/5

y = 5.29

Then the coordinate will be (7.28, 5.29).

More about the coordinate geometry link is given below.

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Answer:

The correct answer is 70+8.5V > 260

Step-by-step explanation:

The equation of this is that instead of getting 260 points instantly he can get to 23 movies and earn the points each visits. So

8.5x23+70=265.5

Hence the correct answer is C

Answer:

in terms of pi: 112.5pi mm squared

substituting pi for 3.14: 353.25 mm squared

Step-by-step explanation:

Surface area cone equation:

Πr2 + π*r*s

4.5^2 = 20.25pi

400 + 20.25 = 420.25

sqrt(420.25) = 20.5

20.25pi + 92.25pi = 112.5pi

The hundredth number in the series as defined in the task content is; 107.

According to the task content;

The first term of the sequence of numbers is; 8 and evidently, the common difference of the sequence is; 9-8 = 1.

On this note it follows that the 100th number is;

T(100th). = 8 + 99(1) = 107.

Read more on terms in sequence;

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Answer: Each person had to pay $40

Step-by-step explanation:

435 + 15*3

435+45 = 480

480/12 = 40

Each person had to pay $40

Answer:

Decay

Step-by-step explanation:

Any "r" value between 0 and 1 indicates an exponential function in decay. The "r" value is the one in the parentheses and raised to the exponent. In this case, the value is 0.91. This number falls within the "r" value boundaries of a decaying exponential function.

Answer:

324

Step-by-step explanation:

The missing term in this geometric sequence is the geometric mean of 54 and 1944.

[tex] \sqrt{54 \times 1944} = \sqrt{104976} = 324[/tex]

Answer:

324

Step-by-step explanation:

The formula for the missing term in a geometric sequence is the square root of x times y.

Answer:

john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. 

Step-by-step explanation:

Answer:

It is reasonable

Step-by-step explanation:

23 degrees Fahrenheit converts directly to -5 degrees Celsius

answer: 32

Consider 2 digit numbers whose sum is 5

5

x

0

→

5

+

0

=

5

4

x

1

→

4

+

1

=

5

3

x

2

→

3

+

2

=

5

Now reverse the digits and compare with original 2 digit number. Starting with 4 1

4

x

1

→

1

x

4

and

41

−

14

=

27

≠

9

3

x

2

→

2

x

3

and

32

−

23

=

9

⇒

the number is

32

Hi!

We can see the river is a straight line.

This means that the angles that fall upon it are supplementary angles, and will add up to 180 degrees.

Therefore:

[tex]x+2x+21=180[/tex]

Combine like terms:

[tex]3x+21=180[/tex]

Subtract 21 from both sides:

[tex]3x=159[/tex]

Divide both sides by 3:

[tex]x=53[/tex]

Therefore, the value of x is 53 degrees.

Answer:

Answer Choice A aka 1/5 (0.2)

Step-by-step explanation:

B = 6/7+8+6+9

= 1/5

Answer:

6

Step-by-step explanation:

6 times 1/4 is equal to 6/4, which is 1 1/2 :)

Answer:

1 = 175ft cubed

2 = 58m cubed

3 = 140m cubed

4 = 180in cubed

Step-by-step explanation:

You have to split these complex shapes into parts and find the volume of each part.  Then, add the parts' volumes together, which will be the total volume of these.  The equation is V=bhw.  V means volume, b means base, h means height, and w means width.  Hope this helps!

The exponential function is given as 3.68 × (2.52)ˣ. Then the value of function at x = 6 will be 942.43.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

If f(x) is an exponential function where f(2) = 23 and f(3) = 58.

Then the exponential function will be

f(x) = abˣ

If f(2) = 23, then we have

23 = ab² ...1

If f(3) = 58, then we have

58 = ab³ ...2

Then from equations 1 and 2, we have

a = 3.62 and b = 2.52

Then the function will be

f(x) = 3.68 × (2.52)ˣ

Then the value of f(6) will be

f(6) = 3.68 × (2.52)⁶

f(6) = 3.68 × 256.1

f(6) = 942.43

More about the exponent link is given below.

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Answer:

x=10, first angle is 107, second angle is 73

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Use pythagorean theorem to find the side of the triangle which is the side of the square

side = sqrt ( 8^2 + 4^2) = sqrt 80  units  = 4 sqrt 5 units

area = sqrt 80  *  sqrt 80    = 80   units ^2

Step-by-step explanation:

a.b=0.6×0.75

=0.45

a/b= 0.6/0.75

=0.8

Answer:

A

Step-by-step explanation:

12×4=48cm²

12×3=36cm²

12×2×2×2=96cm²

therefore is 270cm² + 65cm² + 65cm²

=370cm²