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? 40% 50% 60% 70%

Answers

Answer 1

Answer:50 %

Step-by-step explanation:

Given

There are 4 girls and 6 boys in a club

Probability of choosing 1 girl and 2 boys is

[tex]=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}[/tex]

No of ways of choosing 1 girl and 2 boys[tex]=^4C_1\times ^6C_2[/tex]

[tex]P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}[/tex]

[tex]P=\dfrac{4\times 15}{10\times 3\times 4}[/tex]

[tex]P=\dfrac{15}{30}=\frac{1}{2}[/tex]

i.e. [tex]50\%[/tex]

Answer 2

The probability that one girl and two boys will be chosen from the Spanish club is 50%.

What is the probability?

Probability is used to determine the odds that an event would happen. If the event would happen with certainty, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.

The probability = number of ways of choosing 1 girl and two boys / number of ways of choosing 3 people

(4x15) / (10 x 3 x 4) = 15/30 = 1/2 = 50%

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Related Questions

Lines a and b are parallel. What is the value of x? 5 10 35 55

Answers

Where is the equation?

The total cost of buying apples from a farm stand is shown in the table.
What is the cost per pound of apples?
A $1.50 per Sound
B. $2.00 per pound
C. $2.50 per pound
D. $3.00 per pound

Answers

Answer:

$1.50 per pound

Step-by-step explanation:

got same question and got it right.

The cost per pound of apples is given as $1.50 per pound.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

From the table,

Let the cost of the apples is directly proportional to the pound of x apples,
y = kx

Where k represents the cost of each pound of apply,
From the table consider an ordered pair,
x = 2, y = 3
Now,
3 = 2k
k = 3 / 2
k = 1.5

Thus, the cost per pound of apples is given as $1.50 per pound.

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Find the 7th term of the sequence 216,-144,96,-64

Answers

Answer:

Step-by-step explanation:

r=-144/216=-2/3

[tex]a_{7}=216(-2/3)^{7-1}\\=216(\frac{-2}{3} )^6\\\\=216(\frac{2^6}{3^6})\\=216\times\frac{64}{729}\\=\frac{512}{27}\\[/tex]

A circle has a diameter of 7.2 inches.
What is the circumference of the circle, rounded to the nearest tenth of an inch?
inches
T
T
x
X
1
2
3
09 || +
4
5
6
OF
+
7
8
9
-
1
0
-
%

Answers

Answer:

22.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 7.2 inches

Approximating pi by 3.14

C = 3.14 * 7.2

C = 22.608

Rounding to the nearest tenth

C = 22.6

Which equation represents circle C
options are in the picture

Answers

Answer: (x+4)^2 + (y-1)^2 = 162

Step-by-step explanation:

Equation of Circle : (x – h)^2 + (y – k)^2 = r^2

(h, k) is the center of the circle, r is the radius

The center is (-4, 1), plug it in to get:

(x+4)^2 + (y-1)^2 = r^2

To find the radius we can use the distance formula to find the distance between C and P:

Distance Formula: d = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

Plug in C: (-4, 1) and P:(5, -8) to get [tex]\sqrt{162}[/tex]

So, the equation is:

(x+4)^2 + (y-1)^2 = [tex]\sqrt{162} ^{2}[/tex]

(x+4)^2 + (y-1)^2 = 162

Answer:

Hey! this is a hard one...but i could be wrong.....

Step-by-step explanation:

Ok so let's do this together...it can't be A nor B because it DOES NOT =81......  nor =9!!! it can't be D either! because where do we get the 81 from?????? and etc..............and now, B and A it could be both of the answers  you are thinking and i am thinking too! but B and A has the same writing and problem but not the same answer....so let's see this together....B. is (x-4)2 = (y+1)2 = 81 and A. is  (x-4)2 = (y+1)2 = 9...so...when we do that looks like it is not B. either!! Nor A! Nor D....it is *dun dun dun dunnnnnnn*  C!!!!! The answer is C. (x-4)2 + (y +1)2 = 162!!

Hope this helped and sorry it took so long to type!!!!

solve the following equation
80=5k

Answers

Answer:

K=16

Step-by-step explanation:

divide 80 by 5 and get ur answer

On a sine function y = Asin(Bx) +C , the maximum value is 19 and the minimum value is -5. Which of the following must be the value of |A| - C ?

Answers

Answer:

|A| - C = 5

Step-by-step explanation:

The maximum value that a sine function can have is 1, and the minimum value is -1.

With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:

19 = A + C

-5 = -A + C

Summing both equations, we have:

14 = 2C

C = 7

Now, to find the value of A, we can use the first equation:

19 = A + C

19 = A + 7

A = 12

So the value of |A| - C is:

|12| - 7 = 12 - 7 = 5

is 3:6 and 6:3 eqivalent

Answers

Answer:

Nope

Hope this helps :)

25% of what number is 225?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

Take 225 and multiply it by 4 (because 25 is 1/4) and then double check you can do 900 multiplied by 25% and it will give you 225

Consider the following set of data: 1, 2, 4, 5, 8, 12, 17 1. Define what is meant by “measures of variation.” 2. What is the interquartile range of the data? 3. What is the mean absolute deviation of the data?

Answers

Answer: 2.) the interquartile range is 10

Step-by-step explanation: see pic

I hope this helps :)

negative two minus seventeen plus twelve minus negative four

Answers

Answer:

my answer was -27

Step-by-step explanation:

Answer:

-3

Step-by-step explanation: -2 -17 +12- -4

-2 -17 is -19 since they are both negative. If you add 12 positive to that it becomes -7. Since you are subtracting or taking away -4, think of it as adding 4 instead. This leaves you with -3.

Which expression is equivalent to 5a+20?

Answers

Answer: 5(a+4)

Step-by-step explanation:

An expression that is equivalent to 5a + 20 is: 5 ( a + 4 ).

Since 5 times a equals 5a and 5 times 4 equals 20.

Therefore, 5 (a + 4) is equivalent to 5a + 20.

What is the median of this set of data?
362, 187.211,298,331,250, 347, 199​

Answers

Answer:

274

Step-by-step explanation:

187, 199, 211, 250, 298, 331, 347, 362 <<< First order least to greatest

187, 199, 211, 250, 298, 331, 347, 362 <<< Since there are an even amount of terms, take the middle TWO numbers

(250+298)/2 = 548/2 = 274 <<< Take the mean of the two numbers

Your final answer is 274!

Hope this helps!

Answer:

274

Step-by-step explanation:

1.Arrange your numbers in numerical order.

2.Count how many numbers you have.

3.If you have an odd number, divide by 2 and round up to get the position of the median number.

4.If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

What is the volume of rectangular prism with a length of 5 inches, width of 2 inches and a height of 3 inches?

Answers

Answer:

The volume of rectangular prism with a length of 5 inches, width of 2 inches and a height of 3 inches is:

V = base area x height

  = 5 x 2 x 3

  = 30 (in3)

Hope this helps!

:)

What is made up of two expressions that are equal in value to each other

Answers

Answer:

linear equation

Step-by-step explanation:

i don't know the explanation step by step

CAN YOU HELP ME WITH THIS WORK PLEASE!!!!

Answers

Answer:

39 is the answer

Step-by-step explanation:

well so in this is it a little tricky so yea let me see got it right

please help! i’m stuck

Answers

Answer:

CD = 12.

Step-by-step explanation:

By the tangent-secant theorem:

AB^2 = AC * AD

8^2 = 4 * AD

AD = 64/4 = 16

Finally CD = AD - 4 = 12.

(4 × 6) ÷ (2 + 4) ÷ (8 ÷ 4)? please help

Answers

The answer is 2 hope this helps!

Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest​

Answers

Answer:

Answer is (d) 3

You can see that :

6/2 = 12/4 = 18/6 = 24/8 = 30/10 = 3

Thua the answer is 3

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters radius: 4.5 meters diameter: 6 meters radius: 2 meters

Answers

Answer:

Step-by-step explanation:

area = pi*radius*radius -> Radius =  [tex]\sqrt{\frac{area}{pi} }[/tex]

area: 63.585 m2

   -> radius = [tex]\sqrt{\frac{63.585}{3.14} }[/tex] = 4.5 m

area: 28.26m2

  -> radius = [tex]\sqrt{\frac{28.26}{3.14} }[/tex] = 3m

   -> diameter = 6m

area: 120.7016m2

  -> radius = [tex]\sqrt{\frac{120.7016}{3.14} }[/tex] = 6.2m

   -> diameter = 12.4m

area: 12.56m2

   -> radius = [tex]\sqrt{\frac{12.56}{3.14} }[/tex] = 2m

area: 482.8064m2

   ->radius = [tex]\sqrt{\frac{482.8064}{3.14} }[/tex] = 12.4m

area: 113.04 m2

   ->radius = [tex]\sqrt{\frac{113.04}{3.14} }[/tex] = 6m

Correct answers only!

To the nearest cent, how much will she have in 1 year?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$ 5,798.15

Step-by-step explanation:

A = P + I where

P (principal) = $ 5,300.00

I (interest) = $ 498.15

Jina sold t-shirts at a festival. She made $3 for each t-shirt she sold. Her expenses were $27. If she made a profit of $51, how many t-shirts did she sell?

Answers

Answer:3x+27=51

27-27=0

51-37=x

X=14

Step-by-step explanation:

Per shirt would be the “x” part of the equation. Meaning 3x would be the cost per shirt. And if her total 51, and it were to be a profit, you would add $27 to 3x.

Apply the distributive property to factor out the greatest common factor.
4+10=

Answers

Answer:

Step-by-step explanation:

the GCF of 4 + 10 is

2(2 + 5)

The data set shows the numbers of hours students study the week before a test. Find and interpret the mean absolute deviation of the data. Write your answer as a decimal. 1, 1, 1, 3, 4, 5, 6, 7, 8, 10 The data values differ from the mean by an average of hours.

Answers

Answer:

4.6

Step-by-step explanation:

to find the mean, you add up all given numbers and divide by how many numbers is given. so if there are five numbers, you divide the sum of all of the numbers by five.

I need help with this problem ASAP!! Please

Answers

Answer:

1/3

Step-by-step explanation:

slope is equal to the rate of change, and the equation for it is

change of y divided by change of x

if you were to pick two points of this graph, lets use (-4,-3) and (2,-1), you do the following:

(-4,-3) and (2,-1)

-3-(-1)=-2

(-4,-3) and (2,-1)

-4-2=-6

-2/-6=1/3

Michael has 1/2 of a fabric to make book covers. Each book cover is made from 1/8 of a yard of fabric. How many book covers can Michael make?

Answers

Answer:

Step-by-step explanation:

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Step 1) Divide the figure into shapes

Triangle: 9 x 10

Large rectangle: 8 x 17

Small rectangle: 5 x 9

Smaller rectangle (bottom): 4 x 6

Step 2) Find the area of each shape

Triangle: A = 1/2 x 9 x 10 = 45

Large rectangle: A = 8 x 17 = 136

Small rectangle: A = 5 x 9 = 45

Smaller rectangle (bottom): A = 4 x 6 = 24

Step 3) Add the areas together

A = 45 + 136 + 45 + 24 = 250 square kilometers

Hope this helps! :)

wut is 9-4-6-0-2-4-1=

Answers

Answer:

-8

Step-by-step explanation:

Hope this helps.

Answer:

-8

Step-by-step explanation:

9-4 = 5

5-6= -1

-1-0=-1

-1-2= -3

-3-4=-7

-7-1= -8

5/8 x 5/12 in its simplest form​

Answers

Answer:

25/96

Step-by-step explanation:

5 times 5 = 25

8 times 12 = 96

put them together as a fraction and you get 25/96

simplified.

Answer:

[tex]\frac{25}{96}[/tex]

Step-by-step explanation:

[tex]\frac{5+5}{8+12}[/tex]

[tex]\frac{25}{8TIMES12}[/tex]

[tex]\frac{25}{96}[/tex]

Can anybody help me solve this? You must solve for X first.
(I will mark as brainliest)




(click on image for full picture)

Answers

Answer:

Just answering here again.

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

[tex]360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x[/tex]

The measure of ∠VUX is [tex]12x+10[/tex]

Once [tex]x=8\º[/tex]

[tex]12(8)+10\\106[/tex]

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