To do this problem, you need to find how many questions per minute she can do. You would need to do 21 divided by 14. Which equals 1.5 questions per minute. From there you would do 1.5 times 30 and get 45.
So she can get 45 questions in 30 minutes.
Hope that helps!!
What is the third quartile of this data set 20,21,24,25,28,29,35,37,39,42,44
dezoksy [38]
Answer:
The third quartile would be <u>39</u>.
Step-by-step explanation:
• Since the numbers are already in order, the next step would be to find the median:
- The <u>median</u> is the middle number; found by ordering all data points and picking out the one in the middle.
• The <u>first quartile</u>, is denoted as Q1 and is the middle number that falls between the smallest value of the data set and the median.
- The first quartile would be 24.
• The <u>third quartile</u>, is denoted as Q3 and is the median of the upper half of the data set.
- The third quartile would be 39.
If I helped, please mark me the Brainliest!?!
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
Im pretty sure its 8y because two negatives equal a positive so 5 plus 3 and then you isolated the y so 8y. :)
