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3 years ago

5

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

Answer:

R(-2,0)

S(0,-4)

T(-4,-3)

Step-by-step explanation:

So first you gotta subtract 2 from each x value and 1 from each y value. After you do that, you get:

R(0,2)

S(-4,0)

T(-3,4)

then i put it all onto a graph, and rotated it 90* counterclockwise, from the origin, which puts it in quadrant 3, with the final coordinates above.

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4 - lxl = 1<br> Solve for x

Leokris [45]

Answer: 3 or -3

Step-by-step explanation:

4 - |x| = 1

First subtract 4

-|x| = -3

The | | sign makes it both positive and negative

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Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population

Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. 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.

14 percent of the population of Arizona is 65 years or older.

This means that $p = 0.14$

A random sample of five persons from this population is taken.

This means that $n = 5$

The probability that less than 2 of the 5 are 65 years or older is :

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

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

$P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704$

$P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533$

So the correct answer is:

A)0.8533

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4 years ago

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Some metals melt at lower temps than others. Tin becomes liquid at 231.8˚C (447.8˚F); at the other end of the spectrum, tungsten has the highest melting point of any metal: 3,422˚C (6,192˚F). Somewhere in the middle is mercury, which stays in a liquid state until its temperature drops to -40.

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3 years ago

Find the inequality represented by the graph

bezimeni [28]

The answer is y ≥ 1/2x

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Properties of operations

Zanzabum

Answer:

There are four (4) basic properties of real numbers: namely; commutative, associative, distributive and identity. These properties only apply to the operations of addition and multiplication. That means subtraction and division do not have these properties built in.

Step-by-step explanation:

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