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3 years ago

Q.)A computer chooses a number between 1 and 1000. If the number is even how many outcomes are possible?

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

Answer:

The answer is 500 because every other number is even. In other words, half of the numbers are even. Half of 1000 is 500.

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Hey can anyone tell me how to do slope

netineya [11]

The main thing is rise/run. y=mx+b that is the formula for slope

7 0

3 years ago

Read 2 more answers

The first-, second-, and third-year enrollment values for a technical school are shown in the table below.

VARVARA [1.3K]

Answer:

The solution to f(x) = t(x) is x = 2010

Option 3 is true.

Step-by-step explanation:

The first-year , second-year , and third-year enrollment values for a technical school are shown in the table below.

Year (x) First Year f(x) Second Year s(x) Third Year t(x)

2009 785 756 756

2010 740 785 740

2011 690 710 781

2012 732 732 710

2013 781 755 800

Now we will check each option.

Option 1: The solution to f(x) = s(x) is x = 2,009

In year 2009, f(x)=s(x)

But 785≠756

Thus, False

Option 2: The solution to f(x) = s(x) is x = 785

x represents year, but 785 it no year

Thus, False

Option 3: The solution to f(x) = t(x) is x = 2010

In year 2010, f(x)=t(x)=740

But 740=740

Thus, True

Option 4: The solution to f(x) = t(x) is x =740

x represents year, but 740 it no year

Thus, False

8 0

3 years ago

Will mark Brainliest!!!!

Zinaida [17]

Answer:

Parallel
Neither parallel nor perpendicular
Perpendicular

Step-by-step explanation:

Given line m:

y = 4/5x - 3

Relationship of line m with following lines:

1. y = 4/5x + 3

Same slope, different y-intercept
Parallel

2. y = -4/5x + 3

Slope are negative, different y-intercept
Neither parallel nor perpendicular

3. y = - 5/4x + 3

Slopes are negative-reciprocal, different y-intercept
Perpendicular

7 0

3 years ago

1. Determine whether the function f(x)= x³ from i to i is one to one. Explain.

Solnce55 [7]

Answer:

The function $f:\mathbb Z\to\mathbb Z,~f(x)=3x+4$ is injective (one-to-one).

Step-by-step explanation:

The definition of an injective function follows.

Let $X,Y$ be sets. Let $f:X\to Y$ be a function. We say $f$ is injective if, for all $x,y\in X$ , $f(x)=f(y)$ implies $x=y$ .

This is the proof that $f:\mathbb Z\to\mathbb Z,~f(x)=3x+4$ is injective.

Let $x,y\in\mathbb Z$ and assume $f(x)=f(y)$ . This means $3x+4=3y+4$ . Subtracting $4$ gives $3x=3y$ , then dividing by $3$ gives $x=y$ . Thus $f$ is injective.

7 0

3 years ago

You draw five cards at random from a standard deck of 52 playing cards. What is the probability that the hand drawn is a full ho

Stels [109]

Answer:

The probability that the hand drawn is a full house is 0.00144.

Step-by-step explanation:

In a full house we have a hand that consists of two of one kind and three of another kind, i.e 5 cards are selected.

The number of ways of selecting 5 cards from 52 cards is:

${52\choose 5} = \frac{52!}{5!(52-5)!} \\=\frac{52!}{5!\times47!} \\=2598960$

In a deck of 52 cards there are 13 kind of cards, namely{K, Q, J, A, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

Two kinds can be selected in, ${13\choose 2}=\frac{13!}{2!\times(13-2)!} =\frac{13!}{2!\times11!} =78$ ways

One of the two kinds can be selected for 3 cards combination in ${2\choose 1} = 2$ ways.

There are 4 cards of each kind.

So 3 cards combination can be selected from any of the two kinds in ${4\choose 3} =\frac{4!}{3!(4-3)!} =4$ ways.

And 2 cards combination can be selected from any of the two kinds in ${4\choose 2} =\frac{4!}{2!(4-2)!} =6$ ways.

Thus, total number of ways to select a full house is:

${13\choose 2}\times{2\choose 1}\times{4\choose 3}\times{4\choose 2}\\=78\times2\times4\times6\\=3744$

The probability that the hand drawn is a full house is:

$\frac{Number\ of\ ways\ of\ Drawing\ a\ Full\ house)}{Number\ of\ ways\ of\ Selecting\ 5\ cards } =\frac{3744}{2598960} =0.00144$

Thus, the probability of playing a full house is 0.00144.

6 0

3 years ago