Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1
Answer:
Third option: 
Step-by-step explanation:
Given the function:

Since the ball never leaves the ground, you need to substitute
in the function in order to determine the time the soccer ball traveled:

Factorizing, you get:

Then:

Therefore the time the ball traveled was:

Use distributive property
5k - 6k -8 = 5x + 4
Combine like terms
-k - 8 = 5x + 4
add 8 to both sides
-k = 5x + 12
k = -5x- 12
Answer: 49.85%
Step-by-step explanation:
Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.
i.e.
and 
To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.
i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and
.
i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between
and
. (1)
According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.
i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.
i.e.,The approximate percentage of lightbulb replacement requests numbering between
and
= 49.85%
⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%
Since it’s supplementary the straight line would equal to 180 degrees
4d - 1 + 105 = 180
4d + 104 = 180
4d = 76
d = 19