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3 years ago

How do you solve this? If you can answer on paper

Mathematics

2 answers:

Law Incorporation [45]3 years ago

8 0

This is how u would basically solve the problem

ser-zykov [4K]3 years ago

4 0

Answer:

∠?=40°

Step-by-step explanation:

Remember that in a line AND a triangle there are <u>180 degree</u>s.

You correctly found the third angle in the left triangle to be 69°, Now plug it into the equation for a line, including 71°:

1) Combine the degrees:

140°+x=180°

2) Subtract 140° from both sides:

x=40°

We have now found the bottom left angle for the triangle on the right to be 40°

To find the angle labeled "?" You must plug in all of the known angles of the triangle to be equal to 180°:

40°+100°+x=180°

1) Combine the degrees:

140°+x=180°

2) Subtract 140 from both sides:

∠?=40°

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There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

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

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

The parameters are:

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.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

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

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

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2 years ago

PLEASE HELP!!!

erastovalidia [21]

Step-by-step explanation:

to write a line equation we need minimum of two points. basicaly a line is written in the form y=mx+c where, m is the slope of the line and c is the intercept made by the line on x-axis (OR) or if two points (x1,y1) and (x2,y2) are given then we can form a line equation as (y-y1)= (y2-y1)*1/(x2-x1) *x-x1 (OR) (y-y2)= (y2-y1)*1/(x2-x1) *x-x2

7 0

2 years ago

Find the difference 10 - ( – 25 )

sergey [27]

There is no difference they are both negative numbers or we could say 25 is higher number then 10 but it negative

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3 years ago

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