Answer:
3 standard deviations
from the mean is 6 pounds to 18 pounds.
Step-by-step explanation:
The above question is solved using empirical rule
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the above question
μ = 12 pounds
σ = 2 pounds
Hence:.
3 standard deviations from the mean is calculated as
μ - 3σ
[12 - 3(2)] pounds
=( 12 - 6) pounds
= 6 pounds
μ + 3σ
[12 + 3(2)] pounds
=( 12 + 6) pounds
= 18 pounds
Hence,3 standard deviations
from the mean is 6 pounds to 18 pounds.
on:
Answer:
x=5
:)
Step-by-step explanation:
First of all, expand the left hand side:

Sum like terms:

Add 3 to both sides:

Subtract 3x from both sides:

So this is the solution. Every number smaller than 8 (excluded) is part of the solution of this inequality.
Answer:
7 hrs
Step-by-step explanation:
$187 for 11 hrs
$119 for x hrs
write a proportion.
187/11 = 119/x since Reuben is making money at the same rate.
solve for x:
187x = 1309
x=7
7 hours
Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:


It is negative because the component is in the negative x-direction.
The y-component of the vector will be:


It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!