Answer:
2,-1
Step-by-step explanation:
2x^2 -2x -4 =0
Factor out a 2
2(x^2 -x-2) =0
What 2 number multiply to -2 and add to -1
-2*1 = -2
-2 +1 = -1
2(x-2) (x+1) =0
Using the zero product property
x-2 = 0 x+1 = 0
x-2+2=0+2 x+1-1=0-1
x=2 x=-1
Answer:
x | x ≥ 0 and x ≤ 8
Step-by-step explanation:
The domain of the function is defined as the possible x values that can be used in this function. Now, taking a look at the given graph, we would find that the line starts from x = 0 and continues taking x values till it reaches x = 0This means that for this function, we are allowed to use x values that are greater than or equal to zero and less than or equal to 8Therefore, the domain is any x value greater than or equal to zero and less than or equal to 8
Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X 
30)
P(X < 37) = P( < 
) = P(Z < 1.38) = 0.91621
P(X 30) = P( 
) = P(Z 0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.
The fraction for the above ratio is 5/9
Where 5- no of cups of bread crumbs needed; 9= pounds of ground beef needed
Step-by-step explanation:
Anything that can be represented in the x/y form constitutes the fraction.
The above statement can be represented in the fraction form as 5/9. It means that for every 9 pounds of ground beef, 5 cups of bread crumbs are needed.
The above fraction provides the ratio in the form of cups of bread crumb/ pound of ground beef required. Where 5 represents the number of cups of bread crumbs required, 9 represents the pound of ground beef needed for the same.
