[BRAINLIEST TO BEST ANSWER] Can anybody solve this before an hour? Solve is for solving it, and check is for checking the answer to see if it's correct.

Answer:

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Step-by-step explanation:

The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

All girls from the first group:

20 students, so [tex]N = 20[/tex]

10 girls, so [tex]k = 10[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]

All girls from the second group:

20 students, so [tex]N = 20[/tex]

5 girls, so [tex]k = 5[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]

All girls from the third group:

20 students, so [tex]N = 20[/tex]

8 girls, so [tex]k = 8[/tex]

5 students will be selected, so [tex]n = 5[/tex]

We want all of them to be girls, so we find P(X = 5).

[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]

All 15 students are girls:

Groups are independent, so we multiply the probabilities:

[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]

[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

There is no solution to make it true.

Step-by-step explanation:

Answer:

2×=64

2×/2=64/2

×=32.....x is solved

Answer:

x=32

Step-by-step explanation:

when divided by 2, 64 is equal to 32

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Answer:

63

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

Answer:

171 fish

Step-by-step explanation:

512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.

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Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

Answer:

166.1

Step-by-step explanation:

It would become 11.5 * 7 + 10.7 * 8 = 80.5 + 85.6 = 166.1

Answer:

PERDON POR HACER ESTO

Step-by-step explanation:

NO ENTIENDO

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

Answer:

Can you transalate

Step-by-step explanation:

The options that are true are (1), (3) and false ones are (2), (4).

The basis of all mathematical operations are the arithmetic operations. These operations include addition, subtraction, multiplication, and division.

The given options can be examined one by one as follows,

(1) The given number 20 may be expressed as a mathematical operation as follows:

20 = 10 × 2

Which implies it is two times that of 10.

Thus, it is true.

(2) The given number 10 may be expressed as a mathematical operation as follows:

10 = 20 ÷ 2

Which implies it is half of 20.

Thus, it is false.

(3) The given number 30 may be expressed as a mathematical operation as follows:

30 = 15 × 2

Which implies it is two times that of 15.

Thus, it is true.

(4) The given number 15 may be expressed as a mathematical operation as follows:

15 = 30 ÷ 2

Which implies it is half of 30.

Thus, it is false.

Hence, the true and false options are (1), (3) and (2), (4) respectively.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Answer:

There is not enough information to solve the problem.

Step-by-step explanation:

The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.

Answer:

angle a is 110

angle B is 110

angle C is 70

Answer:

WHAT DOES TGAT EVEN MEAN

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

13/10÷2/10= 13/10*10/2

cancel out the 10 and that leaves you with 13/1*1/2=13/2

simplify 13/2 and that leaves you with 6.5

Answer:

[tex]6\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{13}{10}[/tex]  ·  [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]

2/13 = 6 R.1     [tex]6\frac{1}{2}[/tex]

Answer:

The cup will be filled 6 times.

Step-by-step explanation:

If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:

(1/4) + (1/4) + (1/4) = 3/4

3/4 = 3/4

The measuring cup will have to be filled 3 times for 1 loaf.

If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)

Hope this helps!!

- Kay :)

Answer:

x² +5x - 36

= x² - 4x + 9x - 36

= x(x - 4) +9(x - 4)

= (x - 4) (x+9)

so x = 4, - 9

Answer:

Step-by-step explanation:

Donna guessed 400 but there were 480 so she was off by 80

Answer:

the answer is 3x^2 + 22x + 7

Step-by-step explanation:

Expand the polynomial using the FOIL method.

hoped this helped!

brainly, please?

Answer:

3x^2+22x+7

Step-by-step explanation:

Answer:

Add maybe

Step-by-step explanation:

add the 500+400+200 try that hope it helps have a great day

Answer:

Step-by-step explanation:

d = rt

225km = 225,000m

225,000 = 35*t

t = 6,428.57 seconds

or 107.14 minutes

or 1 hour and 47 minutes

Answer:

(x+2)^2

Step-by-step explanation:

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .