The exponential function is y = 650(1.0475)ˣ
<h3>
Exponential equation</h3>
A Exponential equation is in the form:
y = abˣ
where y, x are variables, b is the multiplier and a is the initial value.
Let y represent the bacteria population after x hours.
a = 650 bacteria
b = 100% + 4.75% = 1.0475
The exponential function is y = 650(1.0475)ˣ
After 33 hours:
y = 650(1.0475)³³ = 3006
Find out more on Exponential equation at: brainly.com/question/2456547
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer:
x = 120
Step-by-step explanation:
Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.
This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.
We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.
Now that we can see that our two angles must equal 180 when put together we know and can say that:
40 + (x + 20) = 180
So, lets work this out like basic algebra now.
40 + x + 20 = 180
x + 60 = 180
- 60 - 60
x = 120
And voila we have our x value.
Hope this helps :)
Answer:
y=3x-2
Step-by-step explanation:
X+1 Hours, because Zavier begins work an hour earlier than Abigail.
