Answer:
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
Step-by-step explanation:
For this problem we know that the average lion lives with a mean of and the deviation is
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
Answer:
100m race
Step-by-step explanation:
because 10.4 x 4 because 100m and 400m right 10.4x4=41.6 and 43.9 so obviously the 100m race is faster.
Answer:
x intercept is -3
Step-by-step explanation:
We need to find the equation for the line
First we find the slope
m = (y2-y1)/(x2-x1)
= (2- -4)/(6- -3)
= (2+4)/(6+3)
=6/9
= 2/3
The we can write the equation
y= mx+b
y = 2/3x +b
We can substitute in (6,2)
2 = 2/3(6) +b
2 =4+b
Subtract 4 from each side
2-4 =b
b =-2
y = 2/3 x-2
We want to find the x intercept, so set y =0 and solve for x
0 = 2/3x -2
Add 2 to each side
0-2 = 2/3x
Multiply each side by 3/2 to isolate x
-2 *3/2 = 2/3x * 3/2
-3 =x
The x intercept is -3
15.5% is the same as 15.5/100 or 155/1000, which you can take a 5 out of.
After that, you will get 31/200
Answer:
$652.5
Step-by-step explanation:
The interest earned in one year would be $130.50 because 1450*.09= 130.50
so then the interest for 5 years would be 652.5 because 130.5*5=652.5