43.586- anything 5 and more rounds up, so the 6 rounds the 8 up to 9, the 9 rounds the 5 up to a 6, so your answer wound be 43.6 because 43.5(tenths)8(hundredths)6(thousandths), i hope this helps
Answer:
Step-by-step explanation:
The volume of a cuboid can be determined simply by the formula: V= LWH
(where: L is length, H is height and W is width).
In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:
Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:
<u>Area:</u>
Base: ×
Roof: ×
Side: × (we have considered all four sides)
<u>Cost:</u>
Base: 4
Roof: 2
Side:
Total cost:
4 + 2 + 10 = 450
We simplify this equation further:
6 + 10<em>HL </em>= 450
10HL = 450 - 6
We now have the value of H, which we can substitute in the formula of Volume we deduced earlier:
substituting in :
×
Simplifying it further:
×
is the final answer.
Answer:
And we can find this probability using the complement rule and we got:
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 weights 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 we got:
Answer:
Can you take picture, please?
Answer:
The value of x = 6
Step-by-step explanation:
Given
To determine
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
here:
so substitute (x₁, y₁) = (x, -4)
, (x₂, y₂) = (2, 8) and m = -3
m = [y₂ - y₁] / [x₂ - x₁]
-3 = [8 - (-4)] / [2 - x]
-3 = [12] / [2-x]
-3 (2-x) = 12
-6+3x = 12
3x = 12+6
3x = 18
divide both sides by 3
3x/3 = 18/3
x = 6
Therefore, the value of x = 6