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3 years ago

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Hope this might help u

Zolol [24]3 years ago

6 0

Answer:

D) 0.9

Step-by-step explanation:

The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.

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Service calls arriving at an electric company follow a Poisson distribution with an average arrival rate of 5656 per hour. Find

liberstina [14]

Answer:

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval. The variance is the same as the mean.

Average rate of 56 calls per hour:

This means that $\mu = 56n$ , in which n is the number of hours.

Find the average and standard deviation of the number of service calls in a 15-minute period.

15 minute is one fourth of a hour, which means that $n = \frac{1}{4}$ . So

$\mu = 56n = \frac{56}{4} = 14$

The variance is also 14, which means that the standard deviation is $\sqrt{14} = 3.74$

The average number of service calls in a 15-minute period is of 14, with a standard deviation of 3.74.

4 0

3 years ago

7. Use the quotient rule to simplify the following expression. Assume that x>0.

NeTakaya

Quotient rule says we can divide 192 and 3 because they are both under the radical. This gives us the square root of 64.

We can also divide x^3 and x to get x^2.

The square root of 64x^2 is 8x

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3 years ago

How many terms are in the expression? 9a + 6b + 3c + 1 A) 1 B) 2 C) 3 D) 4

Kaylis [27]

Answer:

D.) there is 9a and 6b ,3c and 1 thats four different terms

Step-by-step explanation:

Have a nice day! :D

7 0

2 years ago

Which statement is true about figures ABCD and A′B′C′D′? (1 point)

sladkih [1.3K]

Answer:

Step-by-step explanation:

A'B'C'D' is obtained by rotating ABCD 180° counterclockwise about the origin and then reflecting it across the x-axis.

A(2, -2) is mapped to A'(-2, -2)

B(1, -4) is mapped to B'(-1, -4)

C(0, -2) is mapped to C'(0, -2)

D(1, -1) is mapped to D'(-1, -1)

If we rotate counterclockwise 180°, every point (x, y) is mapped to (-x, -y):

A(2, -2) gets mapped to (-2, 2)

B(1, -4) gets mapped to (-1, 4)

C(0, -2) gets mapped to (0, 2)

D(1, -1) gets mapped to (-1, 1)

Reflecting these images across the x-axis will then map (x, y) to (x, -y):

(-2, 2) gets mapped to (-2, -2)

(-1, 4) gets mapped to (-1, -4)

(0, 2) gets mapped to (0, -2)

(-1, 1) gets mapped to (-1, -1)

These new coordinates are the same as A'B'C'D'.

3 0

3 years ago

Someone please help me with #6! I don't know how to write a ratio for this:(

emmainna [20.7K]

The percentage would be 73% but idk the rest

8 0

3 years ago

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9​

What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9