Answer:
C
Step-by-step explanation:
A modified box plot does not include the outliers in the whiskers, instead they are points outside of the whiskers
5,25,33,34,34,37,37,40,42,45,45,46,46,49,73
This data has 2 outliers 5 and 73 so we have 2 choices for a modified box plot D or D
The lowest value outside of the outliers is 25 , so C would be the logical choice
D has the lower end of the whisker too close to the outlier
Answer:
(4,3)
Step-by-step explanation:
Given
x^2+y^2=25
x-y^2=-5
In order to solve the equations, from equation 2 we get
-y^2= -5-x
y^2=5+x
Putting the value of y^2 in equation 1
x^2+5+x=25
x^2+5-25+x=0
x^2+x-20=0
x^2+5x-4x-20= 0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
So
x+5=0 x-4=0
x=-5 x=4
Now for x=-5
x^2+y^2=25
(-5)^2+y^2=25
25+y^2=25
y^2=25-25
y^2=0
so Y=0
And for x = 4
x^2+y^2=25
(4)^2+y^2=25
16+y^2=25
y^2=25-16
y^2=9
y= ±3
So the solution to the system of equations is
(-5,0) , (4,3), (4,-3)
The only solution that belongs to first quadrant is (4,3)
Answer: 28
Step-by-step explanation:
Let the number of balloons that she had last party be represented by x.
Since Mrs.Hines has 40 ballons for a party which was 12 more balloons than she had for her last party. The number of ballons had last party will be formed into an equation as:
x + 12 = 40
Collect like terms
x = 40 - 12
x = 28
She had 28 balloons last year
Answer:
As you may know, the addition of all the interior angles of a triangle always adds up to 180°.
So if we know two angles of the triangle, A1, and A2, we can find the third angle as:
A1 + A2 + X = 180°
X = 180° - A1 - A2.
Se with only knowing two angles, we can find the third angle.
So aaa is a criteria equivalent to aa.
Now, the problem with this criteria is that also works for finding similar triangles (for example, an equilateral triangle of sides 10 and an equilateral triangle of sides 20 are similar, as the angles are the same, but are not congruent, as the length of the sides is different) and this happens because we only have information of the angles and know nothing of the sides.
The answer is 5/4 I hoped this helped
