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3 years ago

What is the value of the function when x = 0? x −2 0 1 3 6 y 1 3 4 2 0

1 answer:

6 0

$\begin{array}{ccccccccccc}x&|&-2&|&\boxed0&|&1&|&3&|&6\\-&-&-&-&-&-&-&-&-&-&-\\y&|&1&|&\boxed3&|&4&|&2&|&0\end{array}\\.\\\\\boxed{f(0)=3}$

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P = {52, 77, 91, 124,<br> 217)<br> Three members of the set P have a common<br> factor which is

Marrrta [24]

tis always a good idea when factoring to start off with a quick prime factoring.

$\begin{array}{llll} 52&=&2\cdot 2\cdot 13\\\\ 77&=&\boxed{7}\cdot 11\\\\ 91&=&\boxed{7}\cdot 13\\\\ 124&=&2\cdot 2\cdot 31\\\\ 217&=&\boxed{7}\cdot 31 \end{array}$

4 0

2 years ago

Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe re

marta [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

You are considering developing a regression equation relating a dependent variable to two independent variables. One of the vari

lys-0071 [83]

Answer:

Step-by-step explanation:

a. How many dummy variables are needed to represent the categorical variable?

We need 1 less dummy variable than outcomes for the categorical variable.

categorical variable has 2 outcomes

So, we need 2-1 = 1 dummy variable.

Answer: 1

Note: If our categorical variable had 5 outcomes, we would need 5-1 = 4 dummy variables.

b. Write the multiple regression equation relating the dependent variable to the independent variables.

Note: Depending your your professor, this can be written one of the following ways...

yhat = a + b1 x1 + bx2

yhat = b0 + b1 x1 + b2 x2

yhat = beta0hat + beta1hat x1 + betahat2 x2

where x1 is the ratio variable

and x2 is the dummy variable

c. Interpret the meaning of the coefficients in the regression equation.

b0 = the predicted value of y when x1 and x2 both equal 0.

b1 = the change in y when x1 increases by 1 unit holding x2 constant.

b2 = the predicted difference in y between the two possible outcomes of the categorical variable holding x1 constant.

7 0

3 years ago

If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor

choli [55]

Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

P(A or B) = P(A) + P(B)

All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9

So, your answer is 1/9

5 0

2 years ago

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry f

seropon [69]

Answer: The two equations are:
y = 5x + 40
y = 3x + 60

In each problem, you are given the cost per ride. That is the slope, it goes in front of the x.

Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.

Now, the equations are in slope intercept form. Y = MX + B

Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.

8 0

3 years ago