Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify
1 answer:
Answer:
The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
where K is the constant of proportionality
In this problem we know that
The circumference of a circle is equal to
therefore
the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant
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Answer:
$105.5 for 16 hours at $6.59 per hour
Step-by-step explanation:
form the equation given, G=h(t) + p(c)
where G=Gross pay,
h= hourly wage
t=time worked
p=percent tip
c=cost of customer meals
we determine the gross pay by first determining the independent variables
h=$4.25, t=16 hours,
if we substitute values, we arrive at
to determine the per hour gross pay we have
105.5/16
hourly gross pay,G=$6.59
Answer:
Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.
Straight Angle-A straight angle is 180 degrees. This is a straight angle.
Step-by-step explanation:
180 is a straight angle and 90 is a Right angle
Answer:
The probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.
Step-by-step explanation:
The random variable <em>T</em> is defined as the amount of time a customer spends in a bank.
The random variable <em>T</em> is exponentially distributed.
The probability density function of a an exponential random variable is:
The average time a customer spends in a bank is <em>β</em> = 10 minutes.
Then the parameter of the distribution is:
An exponential distribution has a memory-less property, i.e the future probabilities are not affected by any past data.
That is, <em>P</em> (<em>X</em> > <em>s</em> + <em>x</em> | <em>X</em> ><em> s</em>) = <em>P</em> (<em>X</em> > <em>x</em>)
So the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is:
P (X > 15 | X > 10) = P (X > 5)
Thus, the probability that a customer will spend more than 15 minutes total in the bank, given that the customer has already waited over 10 minutes is 0.6065.