Answer:
<h3>The x intercept is 1/2</h3><h3>The y intercept is - 4</h3>
Step-by-step explanation:
y = 8x - 4
First to find the y intercept let x = 0
Substitute the value of x into the equation
That's
y = 8(0) - 4
y = - 4
<h3>The y intercept is - 4</h3>
To find the x intercept let y = 0
Substitute the value of y into the equation
that's
8x - 4 = 0
8x = 4
Divide both sides by 8
x = 1/2
<h3>The x intercept is 1/2</h3>
Hope this helps you
Answer:
it would be a triangle
Step-by-step explanation:
Do good!
This problem can be solved from first principles, case by case. However, it can be solved systematically using the hypergeometric distribution, based on the characteristics of the problem:
- known number of defective and non-defective items.
- no replacement
- known number of items selected.
Let
a=number of defective items selected
A=total number of defective items
b=number of non-defective items selected
B=total number of non-defective items
Then
P(a,b)=C(A,a)C(B,b)/C(A+B,a+b)
where
C(n,r)=combination of r items selected from n,
A+B=total number of items
a+b=number of items selected
Given:
A=2
B=3
a+b=3
PMF:
P(0,3)=C(2,0)C(3,3)/C(5,3)=1*1/10=1/10
P(1,2)=C(2,1)C(3,2)/C(5,3)=2*3/10=6/10
P(2,0)=C(2,2)C(3,1)/C(5,3)=1*3/10=3/10
Check: (1+6+3)/10=1 ok
note: there are only two defectives, so the possible values of x are {0,1,2}
Therefore the
PMF:
{(0, 0.1),(1, 0.6),(2, 0.3)}
Answer:
p(1/2) = 5
Step-by-step explanation:
Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x
Set up synthetic div.:
1/2 ) 2 -1 10 0
1 0 5
------------------------
2 0 10 5
The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.
Hi there! Since the ratios of students at Hanover High School are in different scales, we need to scale them up! First, let's take the ratio 1:2. This can be scaled up to 5:10. Now, combine the two ratios to find the ratio of freshmen to sophomores. 3:10 + 5:10 = 8:10. The remaining number is 2, since 8 + 2 = 10, so the ratio of freshmen to sophomores is 2:10!
Hope this was helpful!
