We know that
[length of a circumference ]=2*pi*r
for r=3 ft
[length of a circumference ]=2*pi*3-----------> 18.84 ft
<span>The angular velocity of the particle is 18 radians per minute.
if 2pi radians (full circle)------------------> 18.84 ft
18 radians----------------------------------> X
X=18*18.84/(2*pi)---------> X=54 ft
so
</span>The linear velocity of the particle is 54 ft/minute
the answer is
54 ft/min
The condo costs $163,000, earns $2,986 per month, spends no more than 25% of her income, then if she pays $33,000 for the down payment, the remaining amount would be $130,000. Since 20% of the initial cost is only $32,600, she can adjust her down payment to 20.25% of the initial cost so that the annual payments would be less.
Answer:
0.632
Step-by-step explanation:
Given that a homeowner is three times as likely to purchase additional jewelry coverage as additional electronics coverage
If probability of purchasing additional electronics coverage = p, then prob of purchasing jewelry coverage = 3p
The two events are independent hence joint probability is product of these two.
i.e. P(both) = 
This is given as 0.2

the probability that a homeowner purchases exactly one coverage.

= Prob he purchases I + prob he purchases II-2(prob he purchases both)

Answer:


Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".
Solution to the problem
For this case we select a sample of n =100
From the central limit theorem we know that the distribution for the sample mean
is given by:
So then the sample mean would be:

And the standard deviation would be:

Answer:
6.48
Step-by-step explanation:
The computation of tiles are needed to make the border is shown below:-

where,
Length is 2.02 m
And, the breadth is 1.22
Now placing these values to the above formula
So, the number of tiles needed to make the border is


= 6.48
Therefore for computing the tiles are needed to make the border we simply applied the above formula.