27.034%
Let's define the function P(x) for the probability of getting a parking space exactly x times over a 9 month period. it would be:
P(x) = (0.3^x)(0.7^(9-x))*9!/(x!(9-x)!)
Let me explain the above. The raising of (0.3^x)(0.7^(9-x)) is the probability of getting exactly x successes and 9-x failures. Then we shuffle them in the 9! possible arrangements. But since we can't tell the differences between successes, we divide by the x! different ways of arranging the successes. And since we can't distinguish between the different failures, we divide by the (9-x)! different ways of arranging those failures as well. So P(4) = 0.171532242 meaning that there's a 17.153% chance of getting a parking space exactly 4 times.
Now all we need to do is calculate the sum of P(x) for x ranging from 4 to 9.
So
P(4) = 0.171532242
P(5) = 0.073513818
P(6) = 0.021003948
P(7) = 0.003857868
P(8) = 0.000413343
P(9) = 0.000019683
And
0.171532242 + 0.073513818 + 0.021003948 + 0.003857868 + 0.000413343
+ 0.000019683 = 0.270340902
So the probability of getting a parking space at least four out of the nine months is 27.034%
This is indeed a linear equation. y-4x=9 in standard form is y=4x+9.
Answer: The amount of money he must be spent when the crew is going to work 2 shifts is $11.
Step-by-step explanation:
Since we have given that
the function t(x)=3x+1 determines how many cans of green beans a food truck needs to stock on board , where x is the number of shifts the crew is going to work in the truck.
And the function c(x)= x+4
Since the crew uses c(t(x)) to find the amount of money to spend on green beans .
So, we will use "Composition of functions ":
Since the crew is going to work 2 shifts , so our answer will be
Hence, the amount of money he must be spent when the crew is going to work 2 shifts is $11.
Answer:
Step-by-step explanation:
You want to factor out perfect squares if they exist.
Both sides of the equation are not equal, therefore, Massa was wrong.
<h3>How to Evaluate an Equation?</h3>
For an equation to be correct, the values on both sides of the equation must be equal and balance.
Given the expression, 540 ÷ 6 = 9, 540 divided by 6 is 90. 90 is not equal to 9.
Thus, the value on the both sides are not balanced, therefore, Massa is incorrect.
Learn more about equations on:
brainly.com/question/25678139
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