Which of the following graphs represents the line of slope 3/2 that passes through the point (1,

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?

VashaNatasha [74]

Answer:

$(-\infty, 0)$

Step-by-step explanation:

(w circle r) (x) is the composite function(w of r(x)), that is, w(r(x))[/tex]

We have that:

$r(x) = 2 - x^{2}$

$w(x) = x - 2$

Composite function:

$w(r(x)) = w(2 - x^{2}} = 2 - x^{2} - 2 = -x^{2}$

$-x^{2}$ is a negative parabola with vertex at the original.

So the range(the values that y assumes), is:

$(-\infty, 0)$

3 0

3 years ago

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32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.32)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Part a

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

Part b

$P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]$

$P(X=0)=(10C0)(0.32)^0 (1-0.32)^{10-0}=0.0211$

$P(X=1)=(10C1)(0.32)^1 (1-0.32)^{10-1}=0.0995$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

Part c

$P(2 \leq x \leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)$

$P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

$P(X=3)=(10C3)(0.32)^3 (1-0.32)^{10-3}=0.264$

$P(X=4)=(10C4)(0.32)^4 (1-0.32)^{10-4}=0.218$

$P(X=5)=(10C5)(0.32)^5 (1-0.32)^{10-5}=0.123$

$P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

6 0

3 years ago

Compute 292,000 divide 100

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

is pretty simple

292,000/100=2,920

8 0

3 years ago

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love history [14]

Answer: 35000/20000=1.75 pound

Step-by-step explanation:

7 0

3 years ago

For a population with = 100 and = 20, what is the x value corresponding to z = 1.50?

mafiozo [28]

For a population with mean (μ) = 100 and standard deviation (σ) = 20, the X value corresponding to z = 1.50 is 130.

<h3>What is a z-score?</h3>

A z-score is also referred to as a standard score and it's a measure of the distance between a raw score and the mean, when standard deviation units are used.

<h3>How to determine the value of x?</h3>

In Statistics, the standardized z-score is giving by this formula:

$Z=\frac{\bar{x}\;-\;\mu}{ \sigma }$

Making x the subject of formula, we have:

x = Zσ + μ

Substituting the given parameters into the formula, we have;

x = 1.50(20) + 100

x = 30 + 100

x = 130.

Read more on z-scores here: brainly.com/question/4302527

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Complete Question:

For a population with μ= 100 and σ = 20, what is the X value corresponding to z = 1.50?

30

101.5

115

130

6 0

2 years ago

Which of the following graphs represents the line of slope 3/2 that passes through the point (1, –1)?