Answer:
Look below
Step-by-step explanation:
Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.
This means triangle BCD is a 30-60-90 (angle measures) right triangle
The proportions of the sides (from smallest to largest) is
x:x√3:2x
We are given that BC = 6 cm. This means...
2x=6
x=3
This means DB is 3 cm and CD is 3√3 cm
Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.
x=3√3
x√3=9
2x=6√3
Now we need to find AB
AB = AD + DB
AB = 9 + 3
AB = 12 cm
Given that mean of quiz scores = 6.4 and standard deviation = 0.7
And we need to use Chebyshev's theorem to find the range in which 88.9% of data will reside.
Chebyshev's theorem states that "Specifically, no more than 
of the distribution's values can be more than k standard deviations away from the mean".
That is 
k = 3
So, we want the range of values within 3 standard deviations of mean.
Hence range is [mean -3*standard deviation, mean +3*standard deviation]
= [6.4 - 3*0.7 , 6.4+3*0.7]
= [6.4 - 2.1 , 6.4+2.1] = [4.3,8.5]
a=associates / p=partners
1a= $800 / 1p= $1500
(6)a + (2)p = 800 x 6 + 1500 + 2 = $7800
(x)a + (y)p = $z
hope this helps :)
Answer:
500
Step-by-step explanation:
First we make an equation to find the score for the bonus round. x is the score for the bonus round .
300 + x = 800
Next we subtract 300 from both sides of the equation
300 - 300 + x = 800 - 300
Which get us
0 + x = 500
x = 500
Her score in the bonus round is 500
Answer:
x² + 10x + 12 = 36
x² +10x + 12-36 = 0
x² + 10x - 24 = 0
now by factorization;
x² + 12x - 2x - 24 = 0
x(x+12) -2(x+12) = 0
(x+12)(x-2) = 0
Now, x+12 = 0 and x-2 = 0
x = -12 and x = 2
x= -12, 2
Thus the values for x is -12 and 2.
