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docker41 [41]
2 years ago
13

Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she

began working in the store?
A. 24
B. 27
C. 48
D. 51
Mathematics
2 answers:
avanturin [10]2 years ago
7 0

Answer:

A. 24

Step-by-step explanation:

velikii [3]2 years ago
5 0
A. 24
36-12=24
This is the final answer for this question.
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I need help someone ....
kvasek [131]

Answer:

162 ft^2

Step-by-step explanation:

18 * 18 = 324

324/2 = 162

The area of the patio is 162 square feet

7 0
3 years ago
Read 2 more answers
Give the coordinates of a point on the line whose equation in point-slope form is.
pantera1 [17]

Answer:

  (4, -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h)

for a line with slope m through point (h, k).

Comparing this to the equation you're given, you can see that the point that was used is (h, k) = (4, -2).

_____

You can find other points on the line, but this one is the easiest to find, since it can be read directly from the equation.

7 0
3 years ago
Birds arrive at a birdfeeder according to a Poisson process at a rate of six per hour.
m_a_m_a [10]

Answer:

a) time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b) P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c) P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}

And the parameter \lambda represent the average ocurrence rate per unit of time.

The exponential distribution is useful when we want to describ the waiting time between Poisson occurrences. If we assume that the random variable T represent the waiting time btween two consecutive event, we can define the probability that 0 events occurs between the start and a time t, like this:

P(T>t)= e^{-\lambda t}

a. What is the expected time you would have to wait to see ten birds arrive?

The original rate for the Poisson process is given by the problem "rate of six per hour" and on this case since we want the expected waiting time for 10 birds we have this:

time=10 \frac{1}{6}=\frac{10}{6}=1.67 hours

b. What is the probability that the elapsed time between the second and third birds exceeds fifteen minutes?

Assuming that the time between the arrival of two birds consecutive follows th exponential distribution and we need that this time exceeds fifteen minutes. If we convert the 15 minutes to hours we have 15(1/60)=0.25 hours. And we want to find this probability:

P(T\geq 0.25h)

And we can use the result obtained from the definitions and we have this:

P(T\geq 0.25h)=e^{-(6)0.25}=0.22313

c. If you have already waited five minutes for the first bird to arrive, what is the probability that the bird will arrive within the next five minutes?

First we need to convert the 5 minutes to hours and we got 5(1/60)=0.0833h. And on this case we want a conditional probability. And for this case is good to remember the "Markovian property of the Exponential distribution", given by :

P(T \leq a +t |T>t)=P(T\leq a)

Since we have a waiting time for the first bird of 5 min = 0.0833h and we want that the next bird will arrive within 5 minutes=0.0833h, we can express on this way the probability of interest:

P(T\leq 0.0833+0.0833| T>0.0833)

P(T\leq 0.1667| T>0.0833)

And using the Markovian property we have this:

P(T\leq 0.0833)=1-e^{-(6)0.0833}=0.39347

3 0
3 years ago
Pls help will give brainless to the person help picture is the question​
Sedbober [7]

Answer:

Part 1) Geometric sequence

Part 2) 64 minutes or one hour and four minutes to complete station 5.

Part 3) 512 minutes or 8 hours and 53 minutes to complete station 8.

Step-by-step explanation:

Trust me. I used my calculator.

7 0
2 years ago
Line r is parallel to line t. Find m<6
oee [108]
Is there a picture to this?
5 0
3 years ago
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