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3 years ago

How do you set an equation in y= form like this 2x+y<7

2 answers:

5 0

You subtract 2x from both sides to get why by itself. So in the end it would equal: y<-2x+7. Is that what you are meaning?

Fynjy0 [20]3 years ago

3 0

2x + y < 7
2x - 2x + y < 7 - 2x
 y < 7 + 2x
 y < -2x + 7

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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. 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.

A study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

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

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

Kevin and Randy Muise have a jar containing 70 coins, all of which are either quarters or nickels. The total value of the coins

Nikitich [7]

Answer:

50 nickels, 20 quarters.

Step-by-step explanation:

System of equations (q = # of quarters, n = # of nickels):

q + n = 70, 0.25q + 0.05n = 7.50

the first equation can be changed to q = 70 - n, so we are able to substitute q with 70 - n.

So, it will look like 0.25*70 - 0.25n + 0.05n = 7.50. This can be simplified to 0.2n = 10, which means that n = 50.

Knowing that we can solve q + 50 = 70, which means that q = 20.

6 0

3 years ago

Reva is playing a bean-bag toss game. For each bag that misses the board, the player scores -8 points. Reva misses the board 4 t

erica [24]

Answer:

The answer is -32.

Step-by-step explanation:

Since there is no detailed information given about the game or the total tosses in the question, i will assume that the game is concluded when each player has had 4 tosses.

Considering the information that Reva missed the board 4 times out of her total 4 tosses in the game and each miss results in -8 points, her total score for those 4 tosses should be -8x4 = -32.

I hope this answer helps.

6 0

3 years ago

Help fast pls

Goshia [24]

Answer:

The function is polynomial with the following characteristics

Degree: 5 and leading coefficient: -13.

Step-by-step explanation:

You can see the explanation in the image.

I will like to mention that the question is a little obscure, and the explanation applies for the following function:

$f(x) = -13x^{5} -4x^{4} -1$