A)
B) s = 304.2
C)
To find the sample mean, add all of the data points together and then divide by 12, the number of data points:
(1425+1227+989+697+729+839+729+742+550+626+1449+941)/12 = 10943/12 = 911.9
To find the sample standard deviation, subtract each data point from the mean; square the result; find the average of these; then take the square root.
To construct a confidence interval, first find the z-score that goes along with it:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value corresponds with a z-score of 1.96.
We use this to calculate the margin of error:
This gives us the confidence interval
Answer:
x = 3
Step-by-step explanation:
-14x+14=4x-40
−14x+14=4x−40
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
Step-by-step explanation:
Given
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
Reorder
Using quadratic formula, we have:
Where
So, we have:
This gives:
or
or
or
But time can not be negative.
So, we have:
<em>Hence, time to hit the ground is 5.0625 seconds</em>
If the two triangles are congruent, you can just look at both triangles and see what is missing from each. They are all the same! :D
z = 10 yd
v = 7.9 yd
y = 38°
u = 6.2 yd
x = 90°
And to find w...
You know that the sum of all angles in every triangle is 180°. We know that two angles are 38° and 90°. Add them and subtract it from 180° to find the remaining angle.
90 + 38 = 128
180 - 128 = 52
So w = 52°
Hope this helps! :D
Pretty sure the answer is 247,000