Answer:
x = 15
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3+6x + 5x+12 = 180
Combine like terms
11x+15 = 180
Subtract 15 from each side
11x+15-15 =180-15
11x = 165
Divide by 11
11x/11 =165/11
x =15
Answer:
20%
Step-by-step explanation:
% of error is given by the following formula:
% Error =
Now, Jessie estimated the weight of his cat to be 12 pounds i.e. Approximate value is 12 pounds.
Again, The actual weight of the cat is 15 pounds i.e. the exact value is 15 pounds.
Therefore, the % error =
% (Answer)
Answer:
(x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = -
x +
( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x =
(x) , then
(x) = 6 - 4x
Answer:
D. b = 3
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = 10, 12
Points on y-axis (y1, y2) = 23, 27
First of all, we would determine the slope.
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope, m = 2
The equation of straight line is y = mx + b
Where;
m is the slope.
x and y are the points
b is the intercept.
To find the intercept, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 23 = 2(x - 10)
y - 23 = 2x - 20
y = 2x - 20 + 23
y = 2x + 3 = mx + b
Therefore, intercept, b = 3
Answer:

And for this case the expected value for this random variable is given by 142.63 and rounded to the nearest integer we got 143. And that represent the number of loaves of bread sold for one week
Step-by-step explanation:
For this case we have the following distirbution given:
X: 100 148 135 200
P(X): 0.25 0.36 0.21 0.18
The expected value is given by:

And replacing we got:

And for this case the expected value for this random variable is given by 142.63 and rounded to the nearest integer we got 143. And that represent the number of loaves of bread sold for one week