Evaluate the function. F(x)=3/x-1/. F(-3)

How would you write y=2/3x+1/3 in point slope form??

gladu [14]

Answer:

y - 1 = 2/3(x - 1).

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

y = 2/3x + 1/3 which gives the slope m = 2/3.

We can now find a point on the line by putting x = 1 say then find y:

y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).

(x1, y1) = (1, 1)

So the answer is ;

y - 1 = 2/3(x - 1).

6 0

3 years ago

For a fair coin, suppose you toss the coin 100 times.

Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

$\mu = np = 100(0.5) = 50$ .

$\sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5$

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{66.5 - 50}{5}$

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

6 0

1 year ago

Solving systems of equations by graphing

Ipatiy [6.2K]

Answer:

Hi! The correct answer is x = -1 y = -1 and the ordered pair is (-1,-1)

Step-by-step explanation:

<em><u>~Solve the first variable in one of the equations, then substitute the result into the other equation~</u></em>

7 0

2 years ago

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!

NARA [144]

ANSWER

Step 3

EXPLANATION

The given polynomial expression is:

$2 {p}^{2} - 3p - 7 - (3 {p}^{2} + p - 5)$

Fatau correctly expanded the parenthesis in the first step.

$2 {p}^{2} - 3p - 7 - 3 {p}^{2} - p + 5$

Fatau also correctly grouped the like terms to obtain:

$(2- 3) {p}^{2} + (- 3 - 1)p + (- 7 + 5)$

Fatau committed a mistake at the third step.

Instead of obtaining,

$- {p}^{2} - 4p - 2$

He mistakenly got:

${p}^{2} - 2p +2$

3 0

2 years ago

Nesterboy [21]

Answer:

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]

6 0

2 years ago

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