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3 years ago

A mixed number always consists of a _____ number plus a fraction.

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Answer:

whole number and a fraction

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A bag contains five white balls and four black balls. Your goal is to draw two black balls. You draw two balls at random. What i

NARA [144]

Answer:

0.1667 = 16.67% probability that they are both black.

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

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

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

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:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

5 + 4 = 9 balls, which means that $N = 9$

4 are black, which means that $k = 4$

2 are chosen, which means that $n = 2$

What is the probability that they are both black?

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667$

0.1667 = 16.67% probability that they are both black.

8 0

3 years ago

How to integrate cosec 2x

lorasvet [3.4K]

Remember that -csc^2(x) is a known derivative; it is the derivative of cot(x).

Keeping that in mind, let's put a negative there, and then offset it with another negative, which can conveniently be placed outside of the integral. 

(-1) Integral ( -csc^2(x) dx ) 

Which evaluates to 

(-1) cot(x) + C 
-cot(x) + C

8 0

3 years ago

I need help with this two please help me

bulgar [2K]

Answer:

first question angle J. Because corresponding sides are equal. Second is 3rd one by SSS. thank me later. ❤️

5 0

4 years ago

Please help me with this problem!

mina [271]

Answer:

Step-by-step explanation:

The diagram shows lines passing through the points of two equations.

We will determine the points through which the lines pass through on the graphs.

Looking at the line on the right hand side of the graph, the slope is

(y2-y1)/x(2-x1) where

y2= 0, y1 = 4

x2 = 3, x1=0

Slope, m = (0-4)/3-0

Slope = -4/3

Recall the equation of a straight line is y = mx + c

Where c is the intercept.

So the equation is y

y = -4x/3 + 4

Looking at the line on the left hand side of the graph, the slope is

(y2-y1)/x(2-x1) where

y2= 0, y1 = 2

x2 = -1, x1 =0

Slope, m = (0-2)/-1-0

Slope = -2/-1 = 2

Applying equation of a straight line is y = mx + c

The equation

y = 2x + 2

So the equations are

-4x/3 + 4. If x lesser than or equal 0

2x + 2. If x greater than 0

4 0

3 years ago

What is the base 10 representation of the number 1046(with an 8 underneath it)

trapecia [35]

1046 octal

= 6 + 4*8 + 0 + 1*8^3

= 550 decimal

Its C

6 0

3 years ago

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