Answer:
50%
Step-by-step explanation:
68-95-99.7 rule
68% of all values lie within the 1 standard deviation from mean
95% of all values lie within the 1 standard deviation from mean
99.7% of all values lie within the 1 standard deviation from mean
The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.
68% of all values lie within the 1 standard deviation from mean = =
95% of all values lie within the 2 standard deviation from mean = =
99.7% of all values lie within the 3 standard deviation from mean = =
Refer the attached figure
P(43<x<55)=2.5%+13.5%+34%=50%
Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 1 ← is in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes , then
y = - 2x + c ← is the partial equation
To find c substitute (- 3, 2 ) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = - 2x - 4 ← equation of parallel line
Answer: the golf ball with hit the ground again after 2.75 seconds
Step-by-step explanation:
The movement of the golf ball from the ground follows the equation h(t)=-16t^2+44t,
where t is the time in seconds, and h(t) is the height of the ball at a given time t
By the time the golf ball hit the ground, the height from the ground would be zero. This means that we would equate the quadratic equation to zero. It becomes
-16t^2+44t = 0
Dividing both sides by t
16t^2/t = 44t/t
16t = 44
t = 44/16
t = 2.75
Answer:
95% Confidence interval: (111.02,112.98)
Step-by-step explanation:
Average = 112 seconds
Standard Deviation = 9 seconds
n = 324
Confidence interval:
Putting the values, we get,
Answer:
20
Step-by-step explanation:
Slope=rise/run
=4 blocks/ 1 block
Since 1 block=5 units,
slope=