Where can I find about slopes in homework 5 unit 3

3 times the sum of x and y squared plus 5 times the difference of 2x and y

Virty [35]

3x + xy^2 + 5x - 2xy ok so once you can decode the sentence this is what it will look like. First you add the common facts which are 3x and 5x which = 8x ok so now we have 8x + xy^2 - 2xy so then I believe you cant do anything after that because there will be no more common factors hey can you tell me if I am write if you have already had turn this in please hope this helps

8 0

3 years ago

(10 points)Assume IQs of adults in a certain country are normally distributed with mean 100 and SD 15. Suppose a president, vice

vesna_86 [32]

Answer:

0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Step-by-step explanation:

To solve this question, we need to use the binomial and the normal probability distributions.

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.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Probability the president will have an IQ of at least 107.5

IQs of adults in a certain country are normally distributed with mean 100 and SD 15, which means that $\mu = 100, \sigma = 15$

This probability is 1 subtracted by the p-value of Z when X = 107.5. So

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

$Z = \frac{107.5 - 100}{15}$

$Z = 0.5$

$Z = 0.5$ has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 probability that the president will have an IQ of at least 107.5.

Probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

First, we find the probability of a single person having an IQ of at least 130, which is 1 subtracted by the p-value of Z when X = 130. So

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

$Z = \frac{130 - 100}{15}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

Now, we find the probability of at least one person, from a set of 2, having an IQ of at least 130, which is found using the binomial distribution, with p = 0.0228 and n = 2, and we want:

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{2,0}.(0.9772)^{2}.(0.0228)^{0} = 0.9549$

$P(X \geq 1) = 1 - P(X = 0) = 0.0451$

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

What is the probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130?

0.3085 probability that the president will have an IQ of at least 107.5.

0.0451 probability that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

Independent events, so we multiply the probabilities.

0.3082*0.0451 = 0.0139

0.0139 = 1.39% probability that the president will have an IQ of at least 107.5 and that at least one of the other two leaders (vice president and/or secretary of state) will have an IQ of at least 130.

8 0

2 years ago

Find the explicit formula for<br> arithmetic<br> sequences.<br> 38, 238, 438, 638, ..

Eddi Din [679]

Answer:

200n - 162.

Step-by-step explanation:

first trem a1 = 38

common difference d = 200

nth term = a1 + (n-1(d

= 38 + 200(n-1)

= 200n - 162

7 0

2 years ago

point S lies an AB. If AB=34 units, AS=5+2x units, and SB=x+2 units, what is the length of AS in units?

vichka [17]

Answer:

5+2x+x+2=34

7+3x=34

7-7+3x=34-7

3x=27

3x/3=27/3

x=9

5+2x=AS

5+(2*9)=AS

5+18=AS

23=AS

23 units

Step-by-step explanation:

3 0

2 years ago

PLEASE HELP! find the inverse matrix

Sauron [17]

Answer:

see explanation

Step-by-step explanation:

The inverse of a matrix A = $\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]$ is

$A^{-1}$ = $\frac{1}{ad-bc}$ $\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]$

If ad - bc = 0 then the matrix has no inverse

A = $\left[\begin{array}{ccc}11&-5\\3&-1\\\end{array}\right]$

ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then

$A^{-1}$ = $\frac{1}{4}$ $\left[\begin{array}{ccc}-1&3\\-5&11\\\end{array}\right]$ = $\left[\begin{array}{ccc}-0.25&0.75\\-1.25&2.75\\\end{array}\right]$

3 0

3 years ago

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