Answer:
110 students
Step-by-step explanation:
The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:
The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:
The number of students that have taken a course in either calculus or discrete mathematics is:
!) $18,000
<span>2) 1000 + 425(48) = $21,400 </span>
<span>3) 21,400 - 18,000 = $3400 </span>
<span>4) $23,500 </span>
<span>5) 2000 + 60(425) = $27,500 </span>
<span>6) 27,500 - 23,500 = $4000</span>
Answer:
The length of the rectangle is
12
c
m
and the area of the rectangle is
60
c
m
2
.
Explanation:
By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.
Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
a
2
+
b
2
=
c
2
5
2
+
b
2
=
13
2
25
+
b
2
=
169
25
−
25
+
b
2
=
169
−
25
b
2
=
144
√
b
2
=
√
144
b
=
±
12
Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is
12
cm.
The area of a rectangle is given by multiplying the width by the length.
A
=
(
5
c
m
)
(
12
c
m
)
A
=
60
c
m
2
It would be 57 minutes. Also love the Kenma profile picture!!
EXPLANATION: so 4:48 is almost an hr to 5:45. Just subtract 3minutes from an hr and you have your answer!
Answer: D. .400
Step-by-step explanation:
Given : In a multiple regression model involving 44 observations, the following estimated regression equation was obtained.
For this model,
Regression sum of squares =SSR = 600
and Sum of squares due to error =SSE = 400.
Total sum of squares = SST= SSR+SSE
SST= 600+400=1000
The multiple coefficient of determination is given by :-
Substitute values , we get
Thus, the multiple coefficient of determination for the above model is 
Hence, the correct answer is D. .400.
