Answer:
c. [70.30, 74.70]
Step-by-step explanation:
Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.
The confidence interval of a statistical data can be written as.
x+/-zr/√n .......1
Given;
Mean gain x = 72.5 cm
Standard deviation r = 4.5 cm
Number of samples n = 16
Confidence interval = 95%
z (at 95% confidence) = 1.96 (from the table)
Substituting the values we have into equation 1;
72.5 +/- 1.96×4.5/√16
72.5 +/- 2.20 cm
[70.30, 74.70]
Therefore, the 95% confidence interval is
[70.30, 74.70] cm
x = -2
y = 1
let's multiply second equation by 4 to get a common coefficient of y variable.
16x-8y=-40
add the equations
3×+8y=2
16x-8y=-40
----------------
3x+16x = -38
19x = -38
x = -2
substitute x
3×-2 + 8y = 2
-6 + 8y = 2
8y = 2+6
y = 1
check the answer
-6+8 = 2
-8-2= -20
Answer:
Step-by-step explanation:
domain (ur x values) = -3,-1,1,2
range (ur y values) = -3,1,2,4
do not have to write them more then once
answer is C
Hello!
In order to solve this equation,we must first find out what distance is being traveled in 4 hours. If we travel 4 hours, at a constant speed of 60 miles,we must multiple those two numbers to find the distance travelled.
60x4 is 240.
This means we must divide 240 by 3 hours to find our constant rate of speed.
240 divided by 3 is 80.
This means, we would need to travel 80 mph to arrive to the same location in three hours.
x=80.
Hope this helps & good luck.
[ ( x + 4 )( x + 5 ) + 4( x + 1 )( x + 5) - 5( x + 1 )( x + 4 ) ] / [( x + 1 )( x + 4)( x + 5 )] = ( x^2 + 9x + 20 + 4x^2 + 24x +20 - 5x^2 - 25x - 20) / [( x + 1 )( x + 4)( x + 5 )] =
( - 2x + 20 ) / [( x + 1 )( x + 4)( x + 5 )] = ( - 2)( x - 10) / [( x + 1 )( x + 4)( x + 5 )]
