Answer:
question 5
Step-by-step explanation:
Answer:
1)
°
2)
°
Step-by-step explanation:
1)
As these two angles are supplementary (They add together to equal 180°) we can setup the equation and solve for x.

2)
Again, these two angles are supplementary we can setup the equation and solve for x

Answer:
this is hard
Step-by-step explanation:
so just try
The minimum value of a function is the place where the graph has a vertex at its lowest point.
There are two methods for determining the minimum value of a quadratic equation. Each of them can be useful in determining the minimum.
(1) By plotting graph
We can find the minimum value visually by graphing the equation and finding the minimum point on the graph. The y-value of the vertex of the graph will be the minimum.
(2) By solving equation
The second way to find the minimum value comes when we have the equation y = ax² + bx + c.
If our equation is in the form y = ax^2 + bx + c, you can find the minimum by using the equation min = c - b²/4a.
The first step is to determine whether your equation gives a maximum or minimum. This can be done by looking at the x² term.
If this term is positive, the vertex point will be a minimum; if it is negative, the vertex will be a maximum.
After determining that we actually will have a minimum point, use the equation to find it.
Answer: 
Step-by-step explanation:
The confidence interval for population proportion(p) is given by :-

, where
= Sample proportion.
n= Sample size.
z* = Critical value.
Let p = Proportion of adults in the U.S. who have donated blood in the past two years.
As per given , we have
n= 2322
Sample proportion of adults in the U.S. who have donated blood in the past two years. :
By z-table , the critical value for 90% confidence : z*= 1.645
Then, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years will be






Hence, the 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years. = 