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stira [4]
3 years ago
14

How many minutes are in 5/6, 1/2, and 2/3 of an hour

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0
5/6 of an hour = 50 minutes.
1/2 of an hour = 30 minutes.
2/3 of an hour = 40 minutes.
julia-pushkina [17]3 years ago
5 0
An hour has 60 minutes.

-> 5/6 of 60 minutes
5/6*60
=50

So, 50 minutes

-> 1/2 of 60 minutes
1/2*60
=30

So, 30 minutes

-> 2/3 of 60 minutes
2/3*60
=40

So, 40 minutes.


Hope this helps. If you have any questions, please put them in the comments below.
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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
Which of the answer choices could be the one missing data item for the following set, if the mode is 12?
crimeas [40]

Answer:

D

Step-by-step explanation:

first of all, what is mode: it is the highest occuring number in a set of numbers.

now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.

therefore the answer is 12

8 0
3 years ago
Read 2 more answers
For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
The green truck was 5.5 meters long . How many centimeters was the truck?
vaieri [72.5K]
It would be 550 cm every 1 meter would be 100 cm so 5.5 will be 550cm

3 0
3 years ago
-What is the future value of a $1,000 annuity payment over five years if interest rates are 9 percent?
Flauer [41]

Answer:

9% = 450

10% = 500

8% = 400

Step-by-step explanation:

6 0
3 years ago
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