g 125 students at a college were asked whether they had completed their required English 101 course, and 74 students said "yes". Find the best point estimate for the proportion of students at the college who have completed their required English 101 course. Round to four decimal places.
Answers
Answer:
0.592
Step-by-step explanation:
Total Number of Students =125
Out of these, 74 reported that they have completed their required English 101 course.
To find the best point estimate for the proportion of students at the college who have completed their required English 101 course, we divide the number of students who said "yes" by the total number of students.
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Apple introduced the first iPod in October 2001. Sales of the portable music player grew slowly in the early years but began to grow rapidly after 2005. But the iPod era is coming to a close. Smartphones with music and video Apple introduced the first iPod in October 2001. Sales of the portable music player grew slowly in the END OF THE IPOD ERA players are replacing the iPod, along with the category of device it helped to create. Sales of the iPod worldwide from 2007 through 2011 (in millions) were approximately N(0= -165t2 + 13.13t+ 39.9 (0 < t< 4) in year t, where t= 0 corresponds to 2007. Show that the worldwide sales of the iPod peaked sometime in 2009. What was the approximate largest number of iPods sold worldwide from 2007 through 2011?
Answers
The exact value of sin (π/3 + π) is: sin (4π/3) = -√3/2.
Here, we have,
To find the exact value of sin (π/3 + π), we can use the properties of trigonometric functions.
First, let's simplify the angle π/3 + π:
π/3 + π = (π + 3π)/3 = 4π/3
Now, we need to determine the reference angle within the unit circle for 4π/3.
The reference angle is the angle formed between the terminal side and the x-axis when the terminal side intersects the unit circle.
To find the reference angle for 4π/3, we subtract the nearest multiple of 2π from 4π/3:
4π/3 - 2π = (12π/3 - 6π)/3 = 6π/3 = 2π
Therefore, the reference angle for 4π/3 is 2π.
Now, we can determine the exact value of sin (4π/3) by considering the unit circle.
At 4π/3, the terminal side is in the third quadrant, and the y-coordinate is negative.
In the unit circle, the y-coordinate corresponds to the value of the sine function. Since the y-coordinate is negative, the exact value of sin (4π/3) is -√3/2.
Hence, sin (π/3 + π) = sin (4π/3) = -√3/2.
To learn more trigonometry click:
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Answer:umm I think to do that you need to สะเดมแคพสพว เุ่ะมำงกรด พรพเ่พยวพ
Step-by-step explanation:ระะทืะยะะืะนะทะ ถระทพนดทเรทเสเยเสเรเาดยเสะมะนเสเร้าเสพ
What is the projection of the point on the xy-plane?
(x, y, z) =__________.
What is the projection of the point on the yz-plane?
(x, y, z) =________
What is the projection of the point on the xz-plane?
(x, y, z) =___________
Answers
Answer:
Step-by-step explanation:
The projection of the point on the plane can be determined as:
xy-plane, z=0.
yz-plane, x=0.
xz-plane, y=0.
cos A /(1- sin A) = (1 + sin A)/cos A
Answers
Answer:
answer is in exaplation
Step-by-step explanation:
cosA
+
cosA
1+sinA
=2secA
Step-by-step explanation:
\begin{lgathered}LHS = \frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=\frac{cos^{2}A+(1+sinA)^{2}}{(1+sinA)cosA}\\=\frac{cos^{2}A+1^{2}+sin^{2}A+2sinA}{(1+sinA)cosA}\\=\frac{(cos^{2}A+sin^{2}A)+1+2sinA}{(1+sinA)cosA}\\=\frac{1+1+2sinA}{(1+sinA)cosA}\end{lgathered}
LHS=
1+sinA
cosA
+
cosA
1+sinA
=
(1+sinA)cosA
cos
2
A+(1+sinA)
2
=
(1+sinA)cosA
cos
2
A+1
2
+sin
2
A+2sinA
=
(1+sinA)cosA
(cos
2
A+sin
2
A)+1+2sinA
=
(1+sinA)cosA
1+1+2sinA
/* By Trigonometric identity:
cos² A+ sin² A = 1 */
\begin{lgathered}=\frac{2+2sinA}{(1+sinA)cosA}\\=\frac{2(1+sinA)}{(1+sinA)cosA}\\\end{lgathered}
=
(1+sinA)cosA
2+2sinA
=
(1+sinA)cosA
2(1+sinA)
After cancellation,we get
\begin{lgathered}= \frac{2}{cosA}\\=2secA\\=RHS\end{lgathered}
=
cosA
2
=2secA
=RHS
Therefore,
\begin{lgathered}\frac{cosA}{1+sinA}+\frac{1+sinA}{cosA}\\=2secA\end{lgathered}
1+sinA
cosA
+
cosA
1+sinA
=2secA
Answers
Answer:
I think it is undefined.
Answers
Hope this helps :)
($2.65) / ($0.25/oz) = 10.6 oz
Answer: She bought 10.6 ounces
Answers
Answer:
Yes: 558
Step-by-step explanation:
25110 ÷ 45 = 558
Answer:
25110 is divisible by 45
Step-by-step explanation:
25110 : 45 = 558
225
------
=261
225
------
= 360
360
------
= = =