Answer:
729 cubic meters
Step-by-step explanation:
Volume of cube is given by side^3
where side is length of the side
Given in the problem
side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .
Thus,
volume of cube = 9^3 = 9*9*9 = 729
Thus, volume of Haley's fort is 729 cubic meters.
We have to find the output values for the given input values of the function given as,
Here, x = Input value of the function
And f(x) = Output values
By substituting the input values of x as,
For x = -4,
f(-4) = -4(-4) - 5
= 16 - 5
= 11
For x = 1,
f(1) = -4(1) - 5
= -4 - 5
= -9
For x = 3,
f(4) = -4(3) - 5
= -17
For x = 11,
f(11) = -4(11) - 5
= -44 - 5
= -49
Therefore, Option (A) will represent the output values for the given input values.
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brainly.com/question/4397150
Answer:
a) E(X) = 71
b) V(X) = 20.59
Sigma = 4.538
Step-by-step explanation:
<em>The question is incomplete:</em>
<em>According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).
</em>
<em>
Suppose we randomly select 100 tweets.
</em>
<em>a) What is the expected number of these tweets with no reaction?
</em>
<em>b) What are the variance and standard deviation for the number of these tweets with no reaction?</em>
This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.
The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

Then, the standard deviation becomes:

Answer:
$15.90
Step-by-step explanation:
30% of 53 is 15.90
Answer:
Step-by-step explanation:
- (4a² - 36)/(24 - 8a) =
- 4(
a² - 9) /8(3 - a) =
- (
a² - 9) /2(3 - a) =
- (a + 3)(a - 3)/2(3 - a) =
- - (a + 3) (3 - a)/2(3 - a) =
- - (a + 3) / 2