Answer:
55 degrees
Step-by-step explanation:
All angles in a triangle must equal 180 degrees when added together
They provide you with 2 angles 35 degrees and 90 degrees
So, you add 35 + 90 = 125
So you know that the 2 angles they give you equal 125 degrees
Now, you subtract 180 - 125 = 55
So the missing angle is 55 degrees
Answer:
<u>The correct answer is C. 66.7</u>
Step-by-step explanation:
1. y varies directly with regard to x
y = 9 and x = 24
If y = 25, what is the value of x?
2. For finding that value of x, first of all, we should understand what happened to y.
If y moves from 9 to 25 it means that y has been multiplied by 2.77, using this simple division
25/9 = 2.777
3. And we should use that same number or value to calculate the new value of x
If x was 24, now the new value of x is 24 * 2.777
24 * 2.777 = 66. 67 or 66.7 (rounding to just one decimal)
<u>The correct answer is C. 66.7</u>
ΔACD is similar to ΔBCD by AA similarity theorem
AD/AC = BD/BC
x/5 = 4.2/6
6x = 21
x = 3.5
Hope this helps! ;)
S=((294+3)*(294/3))/2=14553
Answer:
Mean = 35
Variance = 291.7
Step-by-step explanation:
Data provided in the question:
X : 1, 2, 3, 4, 5, 6
All the data are independent
Thus,
The mean for this case will be given as:
Mean, E[X] = 
or
E[X] = 
or
E[X] = 3.5
For 10 days, Mean = 3.5 × 10 = 35
And,
variance = E[X²] - ( E[X] )²
Now, for this case of independent value,
E[X²] = 
or
E[X²] = 
or
E[X²] = 
or
E[X²] = 15.167
Therefore,
variance = E[X²] - ( E[X] )²
or
variance = 15.167 - 3.5²
or
Variance = 2.917
For 10 days = Variance × Days²
= 2.917 × 10²
= 291.7
