Answer:
B. 61%
Step-by-step explanation:
When we have the standard deviation of a sample, we use the t-distribution.
The width of an interval is related to the margin of error, which is given by the following equation:
M = T*s
In which T is related to the confidence level(and the sample size) and s is the standard deviation of the sample. Higher confidence levels have higher values of T.
A higher margin of error means that the interval is wider. To have a higher margin of error, we desire a higher value of T, which is achieved with a higher confidence level.
So the correct answer is:
B. 61%
Answer:
x=6,y= 7
Step-by-step explanation:
-6x +7y= 13
-6x+8y=20
-y = -7
divide through by -1
y =7
sub y= 7 in equation 1
then x= 6
Answer:
y=2x
Step-by-step explanation:
y = kx is the format of the graph we are looking for (as told in the instructions) where k is the variable we are supposed to find (like y = x, y=2x, y=3x, etc)
Note that as x increases by 1, y increases by 2. We can see that by writing a table of the points of points that the line given intersects (picture below). We can see that by the values of the x-axis and the y-axis. Why does this happen? This is because y =2x for each value of x. We notice that in our table.
Therefore, the equation is y=2x. I hope this helps! If you still have questions, ask me in the comments!
Answer:
40.82
Step-by-step explanation:
3.14 times 13
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
