Answer:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Step-by-step explanation:
Let X the random variable who represent the finishing times.
From the problem we have the mean and the standard deviation for the random variable X.
So then the parameters are
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
The probability of obtain values within one deviation from the mean is 0.68
, within two deviations we have 0.95 and within 3 deviations from the mean is 0.997
And from this rule we have 99.7 % of the values within 3 deviations from the mean, so we can find the limits like this:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
The first one hopes this helps
Since you can factor 5 out of both 45c and 10d, the expression will be 5(9c+2d)
5(9c+2d)
=)=)=)
Answer:
25 pounds of mix A
10 pounds of mix B
Step-by-step explanation:
Each pound of mix A takes half a pound of peanuts and each pound of mix B takes one fourth of a pound of peanuts. Total peanuts consumption is:
Each pound of mix A takes half a pound of almonds and each pound of mix B takes three fourths of a pound of almonds. Total almonds consumption is:
Solving the linear system:
In order to exactly use all of your ingredients, you should make 25 pounds of mix A and 10 pounds of mix B
Find the perimiter now
that is right triangle so
when hpotonouse is c and hthe lgs are a and b
a²+b²=c²
given
leg is 8
hypotonuse is 13
8²+b²=13²
64+b²=169
minus 64 from both sides
b²=105
sqrt both sides
b=√105
find total perimiter
8+13+√105=21+√105
times 1/32 for scale
0.65625+0.32021721143623744947565745876628=
0.97646721143623744947565745876628 m=
97.646721143623744947565745876628 cm
A is the answer