Answer:
28
Step-by-step explanation:
Answer:
cant see the entire picture sry
Step-by-step explanation:
Answer: y = 5x − 11
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3,4) and (2, -1),
y2 = - 1
y1 = 4
x2 = 2
x1 = 3
Slope,m = (- 1 - 4)/(2 - 3) = - 5/- 1 = 5
To determine the y intercept, we would substitute x = 3, y = 4 and m= 5 into
y = mx + c. It becomes
4 = 5 × 3 + c
4 = 15 + c
c = 4 - 15 = - 11
The equation becomes
y = 5x - 11
To solve equations, you isolate the variable you are solving for on one side and everything else on the other side.
The first step to solving this equation is to combine like terms.
Combining like terms means to add up all terms that have the same variable(s) and exponent.
If no exponent is shown, then a 1 exponent is implied. The reason why we don't show a term raised to the first power is that it doesn't have any effect on the term.
I see three terms with the x variables. We can combine them. Why? Because they all have the same variable and exponent.
I'll rearrange the left-hand side to combine all the terms with the x variable.
Now we have -3 + 2x - 4x - 2x = -6
Combine all terms that have the x variable.
-3 + 2x - 4x - 2x = -6
-3 - 4x = -6
Now we have -3 - 4x = -6
What can we do now to isolate the x variable on the left-hand side?
For starters, we can add 3 to each side of the equation.
That way the -3 term will disappear.
-3 - 4x + 3 = -6 + 3
-4x = -3
Last step.
The x variable is being multiplied by the -4. If we reverse that operation
we can get the value of x.
-4x / -4 = 3 / -4
x = 3/-4 or x = -0.75
Answer:
Step-by-step explanation:
Given that the number of children in a household has a binomial distribution with parameters n-8 and p-50%
As per binomial definition we have
=
a) P(x=3 or 7) = P(3)+P(7) = 0.2188+0.0313=0.2501
b) P(X≤5)=0.8555
c) P(X≥3)=0.8555
d) P(x<7) =0.9648
