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3 years ago

Solve F(x) for the given domain

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

6 0

Answer:

The correct answer is A) 2

Step-by-step explanation:

In order to find this, input 1 into the equation for each value of x that you see.

f(x) = x^2 + 3x - 2

f(1) = 1^2 + 3(1) - 2

f(1) = 1 + 3 - 2

f(1) = 2

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{8} ⊆ {7,8,9} true or false

Natalija [7]

the answer is false

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6 0

3 years ago

Read 2 more answers

1,023 + _____ = 1,400

denpristay [2]

Answer: 377

1,400 - 1,023 = 377

1,023 + 377 = 1,400

Step-by-step explanation: easy

5 0

2 years ago

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The sum of scores of ella and Kath in the summative test is not greater than 50. supposed Ella's score is 22 points, what could

Firlakuza [10]

We want to see which could be the possible score of Kath for the given information. We will find the inequality:

K ≤ 33

<h3>Stating what we know:</h3>

The given information is:

The sum of the scores is not greater than 55 points
Ella's score is 22 points.

<h3>Writing the inequality:</h3>

First, we need to define the variable K for Kath's points, because of the given information, we can write the inequality:

K + 22 ≤ 55

This means that the sum of the points is smaller than or equal to 55.

Now we just need to solve this for K, to do this, we subtract 22 in both sides:

K ≤ 55 - 22

K ≤ 33

From this, we can conclude that Kath has at most 33 points.

If you want to learn more about inequalities, you can read:

brainly.com/question/11234618

7 0

2 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

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

We want $P(X \geq 1)$

Then

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

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

2 years ago

30 points! Find the four arithmetic means between -17 and 32.

bearhunter [10]

Answer: - 7.2 , 2.6 , 12.4 and 22.2

Step-by-step explanation:

Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:

-17 , p , q , r , s , 32

The first term (a ) = -17

Last term (L) = 32

common difference (d) = ?

number of terms (n ) = 6

We will use the formula for calculating the last term to find the common difference. That is

L = a + (n - 1 ) d

Substituting the values , we have

32 = -17 + (6-1) d

32 = -17 + 5d

32 + 17 = 5d

49 = 5d

Therefore: d = 9.8

We can therefore find the values of p , q , r , and s

p is the second term , that is

p = a + d

p = -17 + 9.8

p = -7.2

q = a + 2d

q = - 17 + 19.6

q = 2.6

r = a + 3d

r = - 17 + 29.4

r = 12.4

s = a + 4d

s = - 17 + 39.2

s = 22.2

Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2

8 0

3 years ago