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Nonamiya [84]
3 years ago
8

A rectangular tank is 100 cm long, 30 cm wide and 12 cm deep. What is the estimated capacity of the tank half full? Hint: 1000 c

ubic centimeter = 1Litre *
Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0
To figure this out, you need to multiply all the dimensions together. 100x30=. 3,000cm and 3,000x12= 36,000 cubic centimeters. So now you can divide the 36,000 by 1000 to get the amount of liters the entire tank can hold. 36,000/1000= 36 liters. And because you want to know how much half of the tank is, you divide 36 by 2 and get 18 liters
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aleksley [76]

If 4 < b < 5, then -4 > -b > -5, or -5 < -b < -4.

Then

3 < a < 4  ==>  3 - 5 < a - b < 4 - 4  ==>  -2 < a - b < 0

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C11=-2

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Write a system of equations to represent this situation.
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Graph the function f(x)= 5x^5 + 4x^4 - 4x^3 - 7x^2 +6 by making a table of values.
aleksandr82 [10.1K]

Answer:

You can see the graph in the attached file.

Step-by-step explanation:

You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.

For  example choose the value x = 0, then you can calculate the value of y:

f(x) = 5x^{5}  +4x^{4}  - 4x^{3}  -7x^{2} +6

f(0) = 5(0)^{5}  +4(0)^{4}  - 4(0)^{3}  -7(0)^{2} +6

f(0) = 6

Then when x = 0, y = 6

The coordinates for the graph (x, y) = (0, 6)

For the table choose different values, include: zero, negative and positive numbers.

x y

x = f(x)=

-20 -15330794

-15 -3582444

-10 -456694

-5 -12794

-1 2

0 6

1 4

5 17456

10 535306

15 3984306

20 16605206

Review the attached excel file, there you will see the table and how to do the calculations in the cell.

Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.

Also you can see the graph in the file.

Download xlsx
6 0
3 years ago
The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 a
Licemer1 [7]

Answer:

P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(69,4)  

Where \mu=69 and \sigma=4

And we select a sample size of n =70

From the central limit theorem  (n>30)we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(\bar X >70)

And we can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got:

P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668

6 0
4 years ago
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