PLS HELP ME ASAP WITH BOTH PRETTY PLS!!
1 answer:
Left Problem: (first attached figure)
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.
Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.
Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.
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Answer:
A sample size of 385 is needed.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
You feel that a reasonable estimate of the standard deviation is 10.0 hours.
This means that
What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?
A sample size of n is needed. n is found when M = 1. So
Rounding up:
A sample size of 385 is needed.
Answer:
Measure of each angle is 90 degree.
Step-by-step explanation:
Given : If two consecutive angles of a parallelogram are congruent.
To find the measure of each angle:
There are 6 important properties of parallelograms:
- Opposite sides are congruent.
- Opposite angles are congruent
- Consecutive angles are supplementary.
- If one of the angle is right angle, then all angles are right.
- Diagonals of a parallelogram bisect each other
- Also, each diagonal of a parallelogram separates it into two congruent.
let A and D be two consecutive angle.
then, by the given condition
......[1]
From the property of parallelogram:
Consecutive angles are supplementary
Then;
From equation [1];
Combine like terms :
Divide both sides by 2 we get;
Simplify:
From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.
∴
Therefore, the measure of each angle is
