Step-by-step explanation:
If we convert
to a Cartesian equation,
So we have a circle with center (-5,0), with a diameter of 10.
Answer:
1 hour and 30 minutes.
Step-by-step explanation:
While carrying her fancy 360-degree camera, a crew artist Sarah Jane can walk at a rate of 2 miles per hour.
We are asked to determine the time required by Sarah to walk to a place that is 3 miles away from her.
Since Sarah can walk at a rate of 2 miles per hour.
Hence, she walks 3 miles in 
hours i.e. 1 hour and 30 minutes. (Answer)
{Here we have used the unitary method assuming that Sarah walks at a constant rate}
Answer:
x = (18 + 3y)/2 y = (18 - 2x)/3
Step-by-step explanation:
For whichever variable you want to solve for, isolate it on one side. For example, if you want to solve for x, first add 3y to each side.
2x = 18 + 3y
Then, divide everything by two.
x = (18 + 3y)/2
Answer:
a) Mean is -23.47
b) Variance is 206.59
c) standard deviation is 14.37
Step-by-step explanation:
Given that;
x −41 −27 −8 −3
P(X = x) 0.29 0.35 0.21 0.15
X.P -11.89 -9.45 -1.68 -0.45
a) mean
Mean = ∑X.P = -11.89 + -9.45 + -1.68 + -0.45
Mean = -23.47
b) the variance
E(x²) = ∑x²P(X=x)
= (−41²×0.29) + (−27²×0.35) + (−8²×0.21) + (−3²×0.15)
= 487.49 + 255.15 + 13.44 + 1.35
= 757.43
So
Var(X) = E(x²) - [∑X.P]²
Var(X) = 757.43 - [-23.47]²
= 757.43 - 550.8409
= 206.5891 ≈ 206.59
Therefore Variance is 206.59
c) standard deviation
standard deviation SD(X) = √Var(X)
SD(X) = √206.5891
= 14.3732 ≈ 14.37
Therefore standard deviation is 14.37
You have to use the reciprocal. for example, 4/5 divided by 1/3
you would leave the dividend the same but flip the divisor. you would change it to a multiplication sign. 4/5 times 3/1
then multiply straight across. hope i helped
