9514 1404 393
Answer:
∠4 = 100°
Step-by-step explanation:
This has nothing to do with parallel lines.
Angles 1 and 4 are "vertical angles", hence congruent.
∠1 = ∠4 = 100°
_____
Vertical angles are on opposites sides of the intersection where lines cross.
Question:
2/3 + y - 1/9 = 7/9
y = ?
Solution:
Find A Common Denominator For 2/3 Which Is 6/9
6/9 + 2/9 = 8/9
8/9 - 1/9 = 7/9
6/9 + 2/9 - 1/9 = 7/9
Final Answer:
y = 2/9
Hope This Helps!
-EliteAnswers-
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
Answer:
Step-by-step explanation:
From the figure attached,
Measure of an angle = 20°
Measure of the opposite side = x
Measure of the adjacent side = 12
By applying tangent rule in the given right triangle,
tan(20°) = 
Therefore, equation to get the value of 'x' will be,
Answer:
x = 4
Step-by-step explanation:
We assume your equation is intended to be ...
2^(2x+7) = 2^15
Equating exponents gives ...
2x +7 = 15
2x = 8 . . . . . . subtract 7
x = 4 . . . . . . . divide by 2
The value of x is 4.
