Answer:
Revolution = 127.24 revolutions
Step-by-step explanation:
<em><u>Circumference of the tire = πD</u></em>
Where D = 15 inch
So,
C = 15π = 47.1 inch
<u><em>In feets:</em></u>
47.1 inch = 3.93 feet.
So, <u>one revolution = 3.93 feet</u>
<u><em>Travelling 500 feet will make the following revolutions:</em></u>
Revolution = 500 feet/3.93 feet
Revolution = 127.24 revolutions
Answer:
the first one is right and other are wrong
The value of tangent theta is equal to the negative 1. At this value the value of secant theta is
.
<h3>What is tangent theta?</h3>
The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

Given information-
The value of tangent theta is equal to the negative 1.

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

Simplify it further as,

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of
. Which extent to the
for the cosine function.
In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

Thus the value of secant theta is 
Learn more about the tangent theta here;
brainly.com/question/29190
Answer:
The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the z-score that has a p-value of
.
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.
This means that 
95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).
F(n)=3n-2
Plug in 2 for n. f(2)=3(2)-2=4