If you sleep 8 hours out of 24 hours, what percentage of the time do you sleep?

The scatter plot shows the number of years of experience x and the hourly pay rate y for each of 25 cashiers in Ohio.

astra-53 [7]

Answer:

a) $y= 0.95*7 +7.95 =14.6$

b) $y= 0.95*0 +7.95 =7.95$

c) For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

Step-by-step explanation:

Assuming the following question: "The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 25 cashiers in Ohio. x represent the number of years of experience and y the hourly pay rate. The line adusted is: y=0.95x+7.95, to answer the questions below. Give exact answers, not rounded approximations. "

(a) What is the predicted hourly pay rate for a cashier with 7 years of experience?

For this case we can use the lineal model given:

$y = 0.95 x +7.95$

And we can replace x =7 years and we got:

$y= 0.95*7 +7.95 =14.6$

(b) What is the predicted hourly pay rate for a cashier who doesn't have any experience?

For this case we just need to replace in the linear model x=0 since that means no experience and we got:

$y= 0.95*0 +7.95 =7.95$

(c) For an increase of one year of experience, what is the predicted increase in the hourly pay rate?"

For this case we can use the slope from the linear model to answer this question, the 0.95 on this case represent the increase in the hourly pay rate per each year of experience, for example if we have one year of experience the pay rate increase 0.95. So then the answer for this case is 0.95.

6 0

3 years ago

The revenue for a company producing widgets is given by y = -20x2 - 50x + 200, where x is the price in dollars for each widget.

lisov135 [29]

Answer:

The price is x = $2.779

Step-by-step explanation:

From the question we are told that

The revenue is $y = - 20x^2 - 50 x + 200$

The cost of production is $y = 30 x - 10$

Generally at break even point the cost of production is equal to the revenue

So

$-20x^2 -50x + 200 = 30x-10$

=> $20x^2 +20 -210 = 0$

Using the quadratic formula to solve this equation we have that

x = $2.779

6 0

3 years ago

Read 2 more answers

DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

3 years ago

Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption

nataly862011 [7]

the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same

7 0

3 years ago

Plsss help me! Brainlist!!

dangina [55]

Answer: = (the third option)

Step-by-step explanation

4 0

2 years ago

Read 2 more answers