Question 1 (10 points)

Mr. Ravenhead's car averages 23.75 miles per gallon of gasoline. Express this amount as a mixed number in simplest form

lisabon 2012 [21]

A mixed number consists of a whole number and a fraction.

23.7523 will be the whole number.
0.75 will be the fraction.

To convert 0.75 into a fraction, set it over 100 and simplify.

$\frac{75}{100} = \frac{75:25}{100:25} = \frac{3}{4}$

$23 \frac{3}{4}$

4 0

4 years ago

he options below represent the probability that different events will occur. Which of the options are likely to occur? Select al

velikii [3]

Answer:

E or B to be honest it might be those two

Step-by-step explanation:

hope this helps

8 0

3 years ago

Read 2 more answers

A teacher is giving an exam with 20 multiple-choice questions, each with four possible answers. The teacher's null hypothesis

frutty [35]

Answer:

That means that there´s a 0.01 of probability that the student is guessing.

Remember that the significance level is related to the strength of the evidence before rejecting the null hypothesis. The Significance level is the probability of rejecting the null hypothesis if it is true.

For example if the significance level is 0.03 it will indicate that there is a 3% of probability that students are guessing.

Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.

So we can say that the teacher needs more evidence before rejecting the null hypothesis.

5 0

3 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

For a horizontal demand curve

kkurt [141]

Answer:

d. both the slope and price elasticity of demand are equal to 0.

Step-by-step explanation:

In order to graph the demand curve, the quantity demanded is plotted along x-axis and the price is plotted along y-axis. An image attached below shows the horizontal demand curve.

Horizontal demand curve, as its name indicates, is a horizontal line which is parallel to x-axis. Since, the slope of any line parallel to x-axis is 0, we can conclude that the slope of Horizontal demand curve is 0.

A horizontal demand curve can be observed for a perfectly competitive market. Since, its a perfect competition, the price of a product by all competitors will be the same. In this case, if a firm decides to increase the price, he will loose his market share as no customer will buy the product at increased price. They will rather go with the other competitor who is offering a similar product at lower price.

On the other hand, if a competitor decides to lower his price in such case, he will experience loss. Therefore, the competitors do not have the option to change the price. Therefore, we can say the price elasticity of demand in this case is 0.

So, option D describes the horizontal demand curve correctly.

3 0

3 years ago