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3 years ago

6

Write the following equation in the general form Ax+ By + C= 0.

1 answer:

Mama L [17]3 years ago

6 0

Answer:

1/2 y - 1/3 x -1 = 0

Multiply through by the LCD -6 to clear the fractions and the negative coefficient with the 'x'.

-3y + 2x + 6 = 0

Then reorder

2x - 3y + 6 = 0

Step-by-step explanation:

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The probability that Shruti succeeds at any given free-throw is 80%, percent. She was curious how many free-throws she can expec

Nina [5.8K]

Answer:

The probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws is 0.5584.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either it is a success, or it is not. The probability of a free throw being a success is independent of other free throws. So we use the binomial probability distibution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

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

And p is the probability of X happening.

Sample of 12 free throws.

This means that $n = 12$

The probability that Shruti succeeds at any given free-throw is 80%, percent.

This means that $p = 0.8$

Probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws.

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12)$

Then

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{12,10}.(0.8)^{10}.(0.2)^{2} = 0.2835$

$P(X = 11) = C_{12,11}.(0.8)^{11}.(0.2)^{1} = 0.2062$

$P(X = 12) = C_{12,12}.(0.8)^{12}.(0.2)^{0} = 0.0687$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) = 0.2835 + 0.2062 + 0.0687 = 0.5584$

The probability that she succeeds at 10 or more free-throws in a sample of 12 free-throws is 0.5584.

3 0

3 years ago

Read 2 more answers

0,2,4,0,2,3,2,8,6

zubka84 [21]

Answer:

LOOK BELOW

Step-by-step explanation:

Mean= add all of the numbers together and divide by total amount of

numbers

aka=3

Median= put all the numbers in order and find the number in the middle

aka=2.5

Minimum=0

Maximum=8

This data can only be found using a Box and Whisker Plot....

I can't really explain a box and whisker plot so you have to look that up to understand that.. SRY!!!

------------------------------------

First Quartile=1

Third Quartile=5

Interquartile Range=4

8 0

3 years ago

Read 2 more answers

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows

harina [27]

The "unit rate" appears to be $20 per ticket.

7 0

3 years ago

I need help finding the missing angle with work plz <br> ANSWER ASAP!!!!!!

Gemiola [76]

Answer:

The unknown angle is 80

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

Let the unknown angle be x

20+80+x = 180

Add like terms

100+x = 180

Subtract 100 from each side

100-100+x=180-100

x = 80

5 0

3 years ago

The sum of two consecutive even integers is -298. What are the integers?

Allushta [10]

Jxbzhxbbsusndnsidjjdnbdusndhd

4 0

3 years ago