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MAVERICK [17]
3 years ago
12

Determine the equation of a horizontal line that passes through (4,7)

Mathematics
1 answer:
professor190 [17]3 years ago
5 0
Y=7 because there is no slope and the Y intercept is at 7.
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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
3 years ago
Calculate the approximate length of each side of ΔABC with coordinates A(1, 1), B(4, 4), and C(5, 1). Then, classify the triangl
Kay [80]

Step-by-step explanation:

Line AB = sqrt18 = 4.24

Line BC = sqrt10 = 3.16

Line AC = 4

Since the triangle cannot be isosceles or equilateral, the best option here is scalene.

4 0
3 years ago
Read 2 more answers
Which of these place values is found to the left of 100?
Kipish [7]

Answer:

The answer is C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Question 5 of 6
Dmitry [639]

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that x + y = 25, that is y = 25 - x

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that 3x + 5y = 99

Since y = 25 - x

3x + 5(25 - x) = 99

3x + 125 - 5x = 99

-2x = -26

2x = 26

x = \frac{26}{2}

x = 13

y = 25 - x = 25 - 13 = 12

So 13 small bags and 12 large bags.

3 0
3 years ago
What is the purpose of calculating a confidence interval? Multiple Choice To provide a range of values that has a certain large
Nadusha1986 [10]

Answer:

To provide a range of values that, with a certain measure of confidence, contains the population parameter of interest.  

To provide a range of values that has a certain large probability of containing the population parameter of interest.

Step-by-step explanation:

For estimating a parameter value, it is important to know the statement or degree of confidence that the interval contains the parameter value along with knowing the point estimate and the amount of possible error in the point estimate (which is the interval likely to contain the parameter value).Thus , an interval estimate of a population parameter is the confidence interval with a statement of confidence that the interval contains the parameter value. The confidence interval is a range of values around the statistic that are believed to contain, with a certain probability (say 99%) the true value of that statistic or the population value.

8 0
3 years ago
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