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2 years ago

Determine if the ordered pair (6, 4) is a solution to the inequality

Mathematics

1 answer:

Ugo [173]2 years ago

8 0

Answer:

$\Large \boxed{\mathrm{Option \ D}}$

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

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Use an x&y to graph the function below f(x) = - (x+2)^3+1

kenny6666 [7]

Answer: f=26

Step-by-step explanation: x^2+6x^2+12x+7/x= 26

3 0

2 years ago

The probability that a certain hockey team will win any given game is 0.3723 based on their 13 year win history of 385 wins out

Whitepunk [10]

Answer:

0.1505 = 15.05% probability that the hockey team wins 6 games in November

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the team wins, or it does not. The probability of winning a game is independent of winning other games. So we use the binomial probability distribution 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.

The probability that a certain hockey team will win any given game is 0.3723

So $p = 0.3723$

12 games in November

So $n = 12$

What is the probability that the hockey team wins 6 games in November?

This is $P(X = 6)$

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

$P(X = 6) = C_{12,6}.(0.3723)^{6}.(1-0.3723)^{6} = 0.1505$

0.1505 = 15.05% probability that the hockey team wins 6 games in November

4 0

2 years ago

Will mark Brainlest ASAP

djyliett [7]

Answer:

Step-by-step explanation:

The lower value is 15,The upper value is 100, The median is 32 and 39, The lower quartile is 30, the upper quartile is 50, and the interquartile range is 36.

7 0

2 years ago

What fractions are in between -1/3 any -2/3

UNO [17]

To find a fraction between two fractions, all we need to do is make the sum of the numerators be the new numerator, and the sum of the denominators be the new denominator.(x) So, for example, a fraction between 7/13 and 6/11 is (7 + 6)/(13+ 11) =13/24.(x)

7/13 = .5384615(x)

6/11 = .545454(x)

13/24 = .541666�

Given that a/b < c/d, why is it true that a/b < (a+c)/(b+d)< c/d?

6 0

2 years ago

I need to solve this equation for my homework, I'm not good with frations and work would be useful 1/4(x-8)=3/4x

Ahat [919]

No problem sir or maam.x=-4

7 0

2 years ago

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