Does anyone know the answer to this ?? PLEASE HELP.

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Using the hypergeometic distribution, it is found that there is a 0.0175 = 1.75% probability that all three have a PhD.

The applicants are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

The formula is:

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

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

The parameters are:

In this problem, the values of the parameters are as follows: N = 20, k = 6, n = 3.

The probability that all three have a PhD is P(X = 3), hence:

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

[tex]P(X = 3) = h(3,20,3,6) = \frac{C_{6,3}C_{14,0}}{C_{20,3}} = 0.0175[/tex]

0.0175 = 1.75% probability that all three have a PhD.

More can be learned about the hypergeometic distribution at https://brainly.com/question/24826394

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Explanation:

In the first parenthesis grouping, we have these three terms

[tex]9x^2y[/tex]

[tex]6xy^2[/tex]

[tex]-3xy[/tex]

and we're dividing each of them over the denominator -3xy.

Think of it like the distributive property. In fact, division is a disguised version of multiplication, which is why the distributive property is not a coincidence. Example: 10/2 = 10*(1/2) = 10*0.5 = 5

If we divide each term over -3xy, then we get these three separate results:

[tex](9x^2y) \div (-3xy) = -3x[/tex]

[tex](6xy^2) \div (-3xy) = -2y[/tex]

[tex](-3xy) \div (-3xy) = 1[/tex]

The last equation is probably self explanatory: any number divided by itself is 1, as long as the number isn't zero. Eg: 4/4 = 1.

The first two equations might not be obvious. For the first equation, we divide the coefficients 9 and -3 to get -3 as the final coefficient on the right hand side. Then the variable terms cancel when pairing them up. Check out the diagram below to see what I mean by this canceling.  It's optional, but it might help to think of [tex]x^2[/tex] as [tex]x*x[/tex]

A similar situation happens in the second equation as well.

After doing those three division operations, we then add up the results to arrive at -3x+(-2y)+1 which is the same as -3x-2y+1

Answer:

./48

Step-by-step explanation:

Problem 1 (on the left)

It appears we have an exponential function curve through the points (0,4) and (1,7)

The general exponential function is of the form

y = a*b^x

The value of 'a' is the y intercept or initial value. So a = 4

Plug in (x,y) = (1,7) to help solve for b

y = a*b^x

y = 4*b^x

7 = 4*b^1

7 = 4b

b = 7/4 = 1.75

Therefore, the function is y = 4*(1.75)^x

These two facts help confirm we have the correct exponential equation.

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Problem 2 (on the right)

The steps will follow the same idea as the previous question.

The exponential curve goes through (-1, 120) and (0,40)

We have a = 40 this time due to the y intercept (0,40)

Plug in the coordinates of the other point to find b

y = a*b^x

y = 40*b^x

120 = 40*b^(-1)

120 = 40/b

120b = 40

b = 40/120

b = 1/3

Answer:

66.6667

Step-by-step explanation:

100% correct mark brainliest

Answer: 3 and 5 (b and g)

Step-by-step explanation:

I got it correct on Edge

Answer:

your answer would be zero

Step-by-step explanation:

Parllel lines never crosses or intercept, which means they have 0 solutions

Answer:

[tex]\frac{8}{32}[/tex]

Step-by-step explanation:

2×4=8

Caron are a total of 8 slices.

8×4=32

There were 32 slices between all 4 pizzas.

Answer:

YES

Step-by-step explanation:

Triangle Inequality Theorem: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. (Any side of a triangle is always shorter than the sum of the other two sides)

1+2 >2

2+2>1

Answer:

sum the numbers of favorite food together.

pizza- 58.

hamburger- 36.

pasta- 14.

others- 17.

Addition of the favorite food will give us .

58+36+14+17=125.

pizza ..58/125 × 100 =46.4

Answer:

32 and a half

Step-by-step explanation:

Answer:

You are asking a question that cannot be solved by anyone outside of your school.

Step-by-step explanation:

What information is below?

Answer:

D

Step-by-step explanation:

down 110 ft over time 10 min
time can't be negative

Answer:

For number 1: Plate boundaries.

For number 2: Geography.

For number 4: Plate.

For number 5: Plate tectonics

Hope this helps.

-Mark me brainliest & 5 star-

Answer:

323

Step-by-step explanation:

.75 x   = 255

x = 255 / .75 = 340

340 * .95 = 323

Answer:

[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]

Step-by-step explanation:

Let the number be taken as 'x'.

Given,

Then,

1) [tex]75[/tex]% of x = [tex]255[/tex]

[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]

2) [tex]20[/tex]% of x = [tex]68[/tex]

[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]

We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .

Now,

3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]

[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

As the first step, you have to distribute

2x - 12 + 4x + 16 = 40        Now combine the like items

6x + 4 = 40        

6x = 36

x = 6

Answer:

It should be 75 inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

y=4x+22 and y=-7x

y=-7x=4x+22

Solve.

-7x=4x+22

x=2

Substitute.

y=-7x, x=-2

y=-7(-2)

Solve.

Multiply.

y=14

(-2,14)

Therefore, the final answer is (-2,14).

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

800

Step-by-step explanation:

20*20=400

400*2=800

Answer: ~4.12 times larger

Step-by-step explanation:

1. find the values for both equation, (8*106=848) and (2*103=206).

2. divide the larger number by the smaller one. 848/206

which gives us 4.11650485, or 4.12 rounded.

hope this helped! ♡

Answer:

6 years

Step-by-step explanation:

Given values :

To Find :

Solving :

Answer:

D. The graph has two vertical asymptotes and one horizontal asymptote.

Step-by-step explanation:

Answer:

[tex]y=30(1.5)^x[/tex]

where:

Step-by-step explanation:

Given exponential growth equation:

[tex]y=a(1+r)^t[/tex]

where:

If a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:

If the starting amount of bacteria cells is 30 then:

Therefore, the equation that can be used to determine the number of cells after x hours is:

[tex]y=30(1.5)^x[/tex]

where:

Answer:

(b) is inverse while (a) is not inverse.

Step-by-step explanation:

we can see this since the values of x and y should flip if the function is inverse. we see this in (b) but not in (a).

Answer:

943 exponent 14

Step-by-step explanation:

The question deals with indices(exponents). Therefore,all laws of indices related to the question must be applied to clearly solve and understand the question.

so,(943 exponent 78 · 943 exponent 1)/943 exponent 65

· means multiplication so simply,(943 exponent 78 × 943 exponent 1)/943 exponent 65

The laws of indices clearly state that, when two indices of the same base are multiplying, you add their exponents and when dividing,you subtract their exponents.

As all the indices have the same base which is "943", we can quickly add & subtract the exponents.

(Leaving base out of calculation now to make it easier to directly deal with exponents)

(78+1)-65(From the rules)

79-65=14,which means 943 exponent 14

∴The answer is 943 exponent 14

Answer:

B shows the Identity Property.

Step-by-step explanation:

x+0=x

Answer:

Rhombi and Squares

Step-by-step explanation:

1) KY (pythagorean Thm) 5² + x² = 13²    ...= 12

2) PK Diagonals bisected. also = 12

3) Diagonals of rhombi are perpendicular. <YKZ = 90

4) 67. Alternate interior angles are congruent.

5) 3. Diagonals are bisected and congruent for squares.

6) 45° . Angles are bisected by diagonals.

7) 90° . All angles of squares are right angles.

8) 6. Diagonals are bisected. So 3 is doubled to 6.

9) I need graph paper.. hol'up

Answer:

64% hope this helps

Step-by-step explanation:

I'm just smart

Answer:

The answer is 64%

Step-by-step explanation:

5= 10% multiply 5 by 6 and you get 30. the 2 equals 4 percent so the percent is 64%. I hope this helps.