Evaluate the expression. Express your answer in scientific notation

the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3

nevsk [136]

For this case we have that the generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
$m = 1/4.
$
On the other hand we have:
$b = -3
$
Substituting values we have:
$y = (1/4) x - 3$
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
$y = (1/4) x - 3$

4 0

3 years ago

You can buy 20 fluid ounces of shampoo for $4.40 or, you can buy 24 fluid ounces for $4.80 which is the better buy? Please answe

erica [24]

Answer: the 20 fluid ounces is better

Step-by-step explanation:

If you divide 20 by 4.40 that is 4.54 but if you divide 24 by 4.80 that is 5. You want to divide 20 by 4.40 because 20 is the fluid ounces and 4.40 is the money divide that to get the cost per fluid ounce then you do the same with the 24 fluid ounces and by doing that you get the sot for 1 fluid ounce then look at both of your answers and see which one is less. which one is less is the better one.

8 0

2 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.