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Sergeu [11.5K]
3 years ago
6

The product of three integers is -600 if two of them are -15 and 10 ,then find the third integer​

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

4

Step-by-step explanation:

-15 times 10 equals -150

-600 divided by -150 equals 4

Answer is 4

hope this helps you :)

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g In R simulate a sample of size 20 from a normal distribution with mean µ = 50 and standard deviation σ = 6. Hint: Use rnorm(20
Illusion [34]

Answer:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

Step-by-step explanation:

For this case first we need to create the sample of size 20 for the following distribution:

X\sim N(\mu = 50, \sigma =6)

And we can use the following code: rnorm(20,50,6) and we got this output:

> a<-rnorm(20,50,6)

> a

[1] 51.72213 53.09989 59.89221 32.44023 47.59386 33.59892 47.26718 55.61510 47.95505 48.19296 54.46905

[12] 45.78072 57.30045 57.91624 50.83297 52.61790 62.07713 53.75661 49.34651 53.01501

Then we can find the mean and the standard deviation with the following formulas:

> mean(a)

[1] 50.72451

> sqrt(var(a))

[1] 7.470221

5 0
3 years ago
A flower garden is shaped like a circle. Its diameter is 40yd. A ring-shaped path goes around the garden. The width of the path
stellarik [79]

Answer:

Number of sand bags needed = 124

Step-by-step explanation:

Diameter of garden = 40 yd

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Diameter of garden with path = 40 + 2 x 6 = 52 yd

We need to find area of path.

Area of path = Area of garden with path - area of garden

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Area covered by one sand bag = 7 yd²

\texttt{Number of sand bags required = }\frac{\texttt{Area of path}}{\texttt{Area covered by one sand bag}}\\\\\texttt{Number of sand bags required = }\frac{867.08}{7}=123.86\approx 124

Number of sand bags needed = 124

8 0
3 years ago
The mean of 4 numbers is 15. 3 of the numbers are 18, 14 and 12. What is the other number?
Kisachek [45]

Answer:

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