Answer:
16%
Step-by-step explanation:
The mean is $15 and the standar deviation is $3.
mean = 15 and SD = 3
We need to find percentage less than 12 per hour
P(x<12)= P(x=12)
to find P(x=12) we find z-score
Now use z-score table . z-score = 0.1587
P(x=12)=0.1587
To get percentage we multiply by 100
0.1587 * 100 = 15.87 = 16%
Answer:
3a+6
Step-by-step explanation:
3a+6 = 24a+48 divided by 8 (there are 8 sides in an octagon)
covert 24a +48 inches into feet
2a+4 feet = 18 feet
subtract 4 from both sides
2a = 14
divided 2 from both sides
a = 7
covert 3a+6 inches into feet
0.25a +0,5
0.25(7)+0.5
= 2.25
verify your answer
2.25 x 8 = 18
The object reaches the lowest height at 5 seconds
<h3>How to determine the time?</h3>
The function is given as:
f(t) = -2t² +22t + 6
Differentiate the function
f'(t) = -4t +22
Set to 0
-4t +22 = 0
Subtract 22 from both sides
-4t = -22
Divide both sides by -4
t = 5.5
Remove decimal points
t = 5
Hence, the object reaches the lowest height at 5 seconds
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Answer:
Frank
Step-by-step explanation:
First let's start by calculating the speed of each runner.
Let's use feet per second
Frank's speed is already given in feet per second: 14 feet/second
We are given that Jake runs 382 feet in 38 seconds. To bring this down to feet/second we need to divide both numbers by 38.
382/38=10.05 feet/second (about)
We are given that Will runs 1 mile in 394 seconds. 1 mile is equivalent to 5280 feet. Now we divide both numbers by 394 to bring it down to feet/second.
5280/394=13.401 feet/second (about)
We are given that Ron runs 555 feet in 1 minute. 1 minute is equivalent to 60 seconds. Now we divide both numbers by 60 to bring it down to feet/second.
555/60=9.25 feet/second
After comparing all the speeds, we can conclude that Frank runs the fastest
Point-slope form of equation is: 
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,
Point-slope form is given by:
Putting the value of slope
We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation
Hence, point-slope form of equation is:
Reducing and simplifying
Keywords: Point-slope form, equation of line
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