I’m pretty sure the answer is B
9514 1404 393
Answer:
68%
Step-by-step explanation:
According to the empirical rule, 68% of the distribution lies within 1 standard deviation of the mean.
Here, the mean is 20 and the standard deviation is 5. The bounds on 1 standard deviation from the mean are 20±5 = [15, 25]. This is precisely the interval of interest.
68% of students wait between 15 and 25 minutes
Hello:<span>
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......(
perpendicular to a line with a slope of 4/3) because : 4x-3y =8...y=(4/3)x-8/3 ) </span>
<span>
a = -3/4
y=(-3/4)x+b
the line that passes through (3, -2) :- 2 =
(-3/4)(3)+b
b =1/4
<span> the equation is : y = (-3/4)x+1/4</span></span>
1] Given that the value of x has been modeled by f(x)=12500(0.87)^x, then:
the rate of change between years 1 and 5 will be:
rate of change is given by:
[f(b)-f(a)]/(b-a)
thus:
f(1)=12500(0.87)^1=10875
f(5)=12500(0.87)^5=6230.3
rate of change will be:
(6230.3-10875)/(5-1)
=-1161.2
rate of change in years 11 to 15 will be:
f(11)=12500(0.87)^11=2701.6
f(15)=12500(0.87)^15=1,547.74
thus the rate of change will be:
(1547.74-2701.6)/(15-11)
=-288
dividing the two rates of change we get:
-288/-1161.2
-=1/4
comparing the two rate of change we conclude that:
The average rate of change between years 11 and 15 is about 1/4 the rate between years 1 and 5.
The answer is D]
2] Given that the population of beavers decreases exponentially at the rate of 7.5% per year, the monthly rate will be:
monthly rate=(n/12)
where n is the number of months
=7.5/12
=0.625
This is approximately equal to 0.65%. The correct answer is A. 0.65%