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Ksju [112]
2 years ago
7

Find the area of the figure below (Do Not put the units in your answer)

Mathematics
1 answer:
Contact [7]2 years ago
8 0

Answer:

54

Step-by-step explanation:

Area of rhombus= (12×9) ÷2

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What is the average rate of change of the function in the table at the interval x = -1 to x = 1?
Andre45 [30]

Answer:

the answer is undefined

Step-by-step explanation:

If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.

4 0
2 years ago
Phone calls arrive at the rate of 48 per hour at the reservation desk for regional airways.
rosijanka [135]

The different probabilities and number of callers expected to be waiting are;

A) P(x = 3) = 0.0286

B) P(x = 13) = 0.1056

C) 8 will be waiting

D) P(x = 0) = 0.0003

E) P(x = 0) = 0.0067

<h3>How to find probability using Poisson distribution?</h3>

We are given the rate of 48 phone calls per hour.

Thus, we will use poisson's distribution formula;

P(x) = (λˣ × e^(-λ))/x!

A) Probability of receiving three calls in a 10-minute interval of time which is P(x = 3). Thus;

λ = 48 * (10/60)

λ = 8

P(x = 3) = (8³ × e⁻⁸)/3!

P(x = 3) = 0.0286

B) Probability of receiving exactly 13 calls in 15 minutes is P(x = 13). Thus;

λ = 48 * (15/60)

λ = 12

P(x = 13) = (12¹³ × e⁻¹²)/13!

P(x = 13) = 0.1056

C) No calls are currently on hold and it takes 10 minutes to complete one call. Thus;

λ = 48 * (10/60)

λ = 8

Thus, 8 will be waiting after 10 minutes.

D) Probability that no one will be waiting is;

P(x = 0) = (8⁰ × e⁻⁸)/0!

P(x = 0) = 0.0003

E) No calls being processed and it takes 5 minutes for a personal time without being interrupted by a call. Thus;

λ = 48 * (5/60)

λ = 4

P(x = 0) = (4⁰ × e⁻⁵)/0!

P(x = 0) = 0.0067

Read more about probability with poisson's distribution at; brainly.com/question/7879375

4 0
2 years ago
Which number is 247,039 round to the nearest thousand
Soloha48 [4]
247,000

Because the number to the right of the seven is a 0.
8 0
2 years ago
Read 2 more answers
I found this proof by induction that all people in canada are the same height, i was wondering what is the incorrect step?
frosja888 [35]

The incorrect step in the induction that all people in Canada are the same height is; Step 9

<h3>How to prove Mathematical Induction?</h3>

The principle of mathematical induction as follows:

For example, we have a set of natural numbers. Now, suppose that 1 is in the set. Now, we assume that anytime n is in the set, n + 1 is also in the set. Therefore we can say that every natural number is in the set.

The wrong step in the given mathematical Induction is Step 9. This is because;

We might not be to see anyone else in the arbitrary group G other than groups P or Q!

Recall that G is a group of k + 1 people. Thus, provided that k > 1, k + 1 > 2 and that a third person R in G does not exist, then the rest of the proof will work.

The steps above proves that;

S(k) = S(k + 1), for every k > 1.

Thus, we can also say that if S(2) is true, then it equally means S(3) is true and so on till infinity.

From our induction process written so far, we have see that S(1) was true. However, our induction step in the question does not show us that that S(1) = S(2) = true.

So: Thus, from the induction I have done It shows that S(1) not imply S(2) and as a result the proof is fallacious.

Read more about Mathematical Induction at; brainly.com/question/24672369

#SPJ1

8 0
1 year ago
125 hours = ___days ___hours
PSYCHO15rus [73]

Answer:

5 days and 5 hours

Step-by-step explanation:

24*5=120

125-120=5

5 0
2 years ago
Read 2 more answers
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