The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.
The volume of sand is then V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.
<h2>
Answer:</h2>
<em><u>Recursive equation for the pattern followed is given by,</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
The number of interaction for 1 child = 0
Number of interactions for 2 children = 1
Number of interactions for 3 children = 5
Number of interaction for 4 children = 14
So,
We need to find out the pattern for the recursive equation for the given conditions.
So,
We see that,
Therefore, on checking, we observe that,
On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.
<u>At, </u>
<u>n = 1</u>
which is true.
<u>At, </u>
<u>n = 2</u>
Which is also true.
<u>At, </u>
<u>n = 3</u>
Which is true.
<u>At, </u>
<u>n = 4</u>
This is also true at the given value of 'n'.
<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>
Possible unit is m³
<u>Step-by-step explanation:</u>
- The possible unit for volume of a cone is m³
- Volume of a cone = Base area × Height
- Here unit for volume will be square units and that of height will be in units. Together, they form cubic units.
- In the given options, the only unit that is in cubic form is m³
Answer:
180x^5.5
Step-by-step explanation:
Answer:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.
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 scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.