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3 years ago

Plz help for finals test !!!

Mathematics

1 answer:

damaskus [11]3 years ago

7 0

Each angle in the first triangle is 60 degrees because all sides are equal. the missing angles in the second triangle are 40 degrees each because the triangle is an isosceles triangle in which two angles are equivalent

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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

3 0

2 years ago

Convert to an improper fraction. Type in your answer with the negative in the numerator.

MariettaO [177]

Answer:

-35/4

Step-by-step explanation:

6 0

2 years ago

PLSS HELP WILL BE MARKED BRAINLIEST

kolezko [41]

Answer:

Step-by-step explanation:

5 0

3 years ago

1/8(x-a)+b how do I put that in slope intercept form, and what are the values of A & B

Nata [24]

The slope intercept form is y=mx+b so u need the exact expression u can't complete a full equation

3 0

3 years ago

hich of the following expressions is equivalent to |x + 4| < 5? A. –5 > x + 4 < 5 B. –5 < x + 4 < 5 C. x + 4 <

Airida [17]

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

5 0

3 years ago