Answer:
Option C. 2x + 20 / x² + 6x – 40
Step-by-step explanation:
f(x) = x + 16 / x² + 6x – 40
g(x) = 1 / x + 10
To find f(x) + g(x), please refer to the attached photo.
Answer:
The number of ways to choose a cone, if order matters, is 45.
Step-by-step explanation:
Given that a certain ice cream parlor offers fifteen flavors of ice cream, and you want an ice cream cone with three scoops of ice cream, all different flavors, to determine in how many ways you can choose a cone if it matters which flavor is on. top, which is in the middle and which is on the bottom, the following calculation must be performed:
15 x 3 = X
45 = X
The number of ways to choose a cone, if order matters, is 45.
Answer:3rd option
Step-by-step explanation:
tan(R) = 7/4
Thus, the angle measure of R is the inverse tan of 7/4, or the 3rd option. Just define what tan(R) is, and then solve.
Answer:
Step-by-step explanation:
<u>Given points:</u>
<u>Use distance formula:</u>
Using the margin of error for the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

The margin of error is given by:

In which:
is the sample proportion.
We have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Item a:
The estimate is of
, hence we solve for n when M = 0.03.





n = 821.2
A sample of 822 is needed.
Item b:
No prior estimate, hence
.





n = 1067.11
A sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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