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stich3 [128]
2 years ago
10

Positive integers greater than -6 but less than +21​

Mathematics
1 answer:
Nina [5.8K]2 years ago
7 0

Step-by-step explanation:

<u>Inequality to describe problem:</u><u> </u>

- 6 < x < 21

x represents the unknown integer(s).

Integers are positive or negative numbers that <u>don't</u> have a fraction, or a decimal.

<u>Positive integers that work in the inequality:</u>

<u>- 6 < 1< 21</u>

- 6 < 2 < 21

- 6 < 3 < 21

- 6 < 4 < 21

- 6 < 5 < 21

- 6 < 6 < 21

- 6 < 7 < 21

- 6 < 8 < 21

- 6 < 9 < 21

- 6 < 10< 21

- 6 < 11 < 21

- 6 < 12 < 21

- 6 < 13 < 21

- 6 < 14 < 21

- 6 < 15 < 21

- 6 < 16 < 21

- 6 < 17 < 21

- 6 < 18 < 21

- 6 < 19 < 21

- 6 < 20 < 21

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 work out as positive integers.

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Artyom0805 [142]

Answer:

Volume of the Prism =204 cm^3

Step-by-step explanation:

Volume of the right triangular prism= \frac{1}{2}*Length*Width*Height

Length=8.5 cm

Width= 6 cm

Height= 8 cm

Putting the values in the formula:

Volume of the prism :

                             \frac{1}{2}*8.5*6*8\\\\=\frac{1}{2}*8.5*48\\\\ =\frac{1}{2} *408\\\\=204cm^3

The volume of the Prism is 204 cm^3

4 0
3 years ago
What is the value of x?
scoray [572]

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

\frac{MA}{MN} = \frac{MB}{MP} , substitute values

\frac{80.5-35}{80.5} = \frac{x}{96.6}

\frac{45.5}{80.5} = \frac{x}{96.6} ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

8 0
3 years ago
Read 2 more answers
The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and me
Dovator [93]

Answer:

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

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 time interval.

The problem states that:

The number of phone calls that Actuary Ben receives each day has a Poisson distribution with mean 0.1 during each weekday and mean 0.2 each day during the weekend.

To find the mean during the time interval, we have to find the weighed mean of calls he receives per day.

There are 5 weekdays, with a mean of 0.1 calls per day.

The weekend is 2 days long, with a mean of 0.2 calls per day.

So:

\mu = \frac{5(0.1) + 2(0.2)}{7} = 0.1286

If today is Monday, what is the probability that Ben receives a total of 2 phone calls in a week?

This is P(X = 2). So:

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

P(X = 2) = \frac{e^{-0.1286}*0.1286^{2}}{(2)!} = 0.0073

There is a 0.73% probability that Ben receives a total of 2 phone calls in a week.

3 0
3 years ago
The larger of two number is 5 times the smaller. The difference between them is 36
Anestetic [448]
X = larger number, y = smaller number

x = 5y
x - y = 36

5y - y = 36
4y = 36
y = 36/4
y = 9

x = 5y
x = 5(9)
x = 45

ur numbers are 45 and 9 <==

4 0
3 years ago
The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the r
Alona [7]

Answer:

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Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME PLEASE

4 0
3 years ago
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