Write an equation of a line that passes through (2,3) and has a slope of 1/4?

Using the hypergeometric distribution, it is found that the probability is 12/132

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The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.

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Hypergeometric distribution:

The probability of x successes 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 successes.

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]

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What is the probability of selecting two defective rolls?

This is P(X = 2). So

[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 = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]

12/132 is the probability.

A similar problem is found at https://brainly.com/question/24229905

Answer:

3x=9+18

=27

x =27÷3

x=9

the answer of x is 9

Rewrite the equation so that the x term is on the left:

9 - 3x = -18

Move the number to the right and change the sign:

-3x = -18 - 9

-3x = -27

Change the sign of both terms:

3x = 27

Move the 3 to the right and change the sign:

x = 27 ÷ 3

x = 9 is your answer.

Answer:

Angel L = 52°

Step-by-step explanation:

In ∆ JKL,

J = 8x + 6°

K = 2x + 2°

L = 4x+ 4°

L =?

Let's solve this question with the help of Angle Sum Property of a Triangle (ASPT).

We know that all angles in a triangle add up to 180°.

180 = ∆JKL

180 = J + K + L

180 = (8x + 6) + (2x + 2) + (4x + 4)

180 = 8x + 6 + 2x + 2 + 4x + 4

180 = 8x + 2x + 4x + 6 + 2 + 4

180 = 14x + 12

14x = 180 - 12

14x = 168

x = 168/14

x = 12°.

Now, L° = 4x + 4

= 4(12) + 4

= 48 + 4

= 52°.

Answer:

{1-3i}{2+5i}

Step-by-step explanation:

Answer:

[tex]\frac{-13 - 11i}{29}[/tex]

Step-by-step explanation:

You need to multiply the numerator and denominator by the conjugate of

2 + 5i, which is 2 - 5i

So, [tex]\frac{(1 - 3i)(2 - 5i)}{(2 + 5i)(2 - 5i)} = \frac{2 - 11i - 15}{4 +25} = \frac{-13 - 11i}{29}[/tex]

Answer:

Step-by-step explanation:

Range = maximum value - minimum value

= 25 - 6 = 19

Option D is the correct answer

Answer:

A.21

Step-by-step explanation:

We can use trigonometry to slove for sides in this triangle...

Using the 60 degree angle...we can solve for x.

We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.

And since we're using tangent, we have to use opposite/adjacent

We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,

and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should

get an answer of 21

Yes there asking for just commission and the answer is 46.05

Answer:

9.14400m

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

your answer is 11

Step-by-step explanation:

An exponential has the base at the bottom

If I'm correct, you're asking which variable is the dependent variable y from the question

Answer and explanation:

The equation can be modelled:

y= 1.5x

Where y is the current length of the hair

x is the number of months of hair growth

We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.

Answer:

14

Step-by-step explanation:

Answer: 14

Step-by-step explanation:

The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).

Why bother with the greatest common multiple?

There's a very sneaky formula you can do to calculate the LCM with this.

[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]

where lcm(a, b) = the least common multiple of integers a and b (1)

a = integer a (2)

b = integer b (7)

gcd(a, b) = greatest common divisor of integers a and b

So let's use it, we have all the available numbers.

[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]

Change in altitude:

42,000 - 18,000 = 24,000 feet

Rate of change  = 24,000 feet / 12 minutes = 2,000 feet per minute

Because the plane was going down, the rate of change would be negative.

The rate would be -2,000 feet per minute.

Answer:

Step-by-step explanation:

the answer is m<1 = m<2

Answer:

8 % i think

Step-by-step explanation:

45 d   .....   62 d

0.45

62 - 45 = 17

17 x 0.45= 7.65

Answer:

Ascending order is given by

1/50<1/23<1/17<1/12<1/9<1/7<1/5

Descending order is given by

1/5>1/7>1/9>1/12>1/17>1/23>1/50

Step-by-step explanation:

We are given that

1/12,1/23,1/5,1/7,1/50,1/9,1/17

We have to arrange the numbers in ascending and descending order.

LCM of 12,23,5,7,50,9,17

[tex]23\times 5\times 12\times 7\times 50\times 17\times 9[/tex]

=73899000

[tex]\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}[/tex]

[tex]\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}[/tex]

[tex]\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}[/tex]

[tex]\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}[/tex]

[tex]\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}[/tex]

[tex]\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}[/tex]

[tex]\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}[/tex]

14779800>10557000>8211000>6158250>4347000>3213000>1477980

Therefore,

Ascending order is given by

1/50<1/23<1/17<1/12<1/9<1/7<1/5

Descending order is given by

1/5>1/7>1/9>1/12>1/17>1/23>1/50

Answer:

3 grape popsicles

Step-by-step explanation:

Let us represent

Orange popsicles = x

Grape popsicles = y

There are 5 times as many orange popsicles as grape popsicles in Reid's freezer.

x = 5y ..... Equation 1

There are 12 more orange popsicles than grape popsicles.

x = y + 12..... Equation 2

Hence, we substitute 5y for x in Equation 2

5y = y + 12

5y - y = 12

4y = 12

y = 12/4

y = 3

Note that, Grape popsicles = y

y = 3 grape popsicles.

Therefore, the number of grape popsicles that are there in Reid's freezer is 3 grape popsicles

Answer:

17b popsicles

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

Sorry if it's not right A bit rusty with percentages

Answer: 6

Step-by-step explanation:

Answer:

y = 40.96

Step-by-step explanation:

Given

4 = [tex]\frac{y}{10.24}[/tex] ( multiply both sides by 10.24 to clear the fraction )

4 × 10.24 = y , that is

y = 40.96

Answer:

5

Step-by-step explanation:

take your price and subtract the monthly price

115-40=75

now you have the price of all your extra devices summed up

75÷15=5 extra devices

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

12/5

Step-by-step explanation:

7 1/5=

Answer:

[tex] \frac{36}{5} [/tex]

Step-by-step explanation:

consider downloading photomath

Step-by-step explanation:

hey ya go, mate anyways I switched to PC and I find these yw

Answer:

Step-by-step explanation:

Answer:

29 pages

Step-by-step explanation:

Answer:

6c^2(-40 + 5c^3 + 3c^2)

Step-by-step explanation:

These three terms have the common factor c^2.  Thus:

-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).

Recognizing that 6 is common to all three terms inside the parentheses, we get:

6c^2(-40 + 5c^3 + 3c^2)  This is as far as factoring of this expression can be taken.

Answer:

Step-by-step explanation:

=_=

Answer:

C and D

Step-by-step explanation:

If you mean x^2 (x squared), then C and D are both right.