Answer:
81.85%
Step-by-step explanation:
We have the following information:
mean = m = 52000
standard deviation = sd = 12000
a = 40000
b = 76000
we need to find the probability between a and b, that is:
P (a <x <b) = P (40,000 <x <76000)
P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]
replacing
P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]
P (-1 <z <2)
P (z <= -1) - P (z <= 2)
We look for this value of z, in the attached table:
0.9772 - 0.1587
P = 0.8185
In other words, the probability is 81.85%
Assuming you are hoping to obtain the value of "g", to solve worded algebra problems like these, it is easier to translate the world problem into a mathematical equation first.
In this case, "93 is the sum of a number g and 58" can be translated to:
93 = g + 58
To find the value of g, it is necessary to isolate g first. To do this, we subtract both sides of the equation by 58:
93 - 58 = g + 58 - 58
93 - 58 = g
Simplifying:
g = 35
Answer:
x = 15
Step-by-step explanation:
Sides opposite congruent angles are congruent:
x + 10 = 2x - 5
15 = x . . . . . . . . . add 5-x
The value of x is 15.
_____
I suppose you could show the intermediate step:
x +10 +(5 -x) = 2x -5 +(5 -x)
15 = x . . . . . simplified
We know that the slope-intercept form of an equation is represented by:
y = mx + b
Where m is the slope, b is the y-intercept, and x and y pertain to points on the line in the graph.
So the slope of the line is know to be 3, and we are able to plug that into the equation:
y = 3x + b
We also know that the point (-2, 6) is on the line. With this information, we can then plug in the point into the equation to find b:
6 = 3(-2) + b
Then we can solve for b:
6 = -6 + b
b = 12
Knowing that b is 12, we can then rewrite the equation in a more general slope-intercept form that is applicable to any point on that line:
y = 3x + 12
Thus, your answer would be C.
