Answer:
49
Step-by-step explanation:
Given:
Width = 0.4
Let's take the z value of 95% which is = 1.96
Let's assume population proportion p1 and p2 = 0.5
For margin of error E, the relation between the width and margin of error is 2E.
i.e 2E = 0.4
E = 0.2
To find the sample size, n, let's use the formula :
= 48.02
≈ 49
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%
9514 1404 393
Answer:
D. 5 < x < 9
Step-by-step explanation:
The third side cannot be any shorter than the difference of the other two sides: 7 -2 = 5. It cannot be any longer than the sum of the other two sides: 7+2 = 9. It cannot be equal to either of those values. So, we must have ...
5 < x < 9
Answer:
Step-by-step explanation:
Given that Lincoln has 
pennies and 
nickles and that his total worth is $0,
we can express his total using the inequality:
Where the sum of n and p is his total
Hence, Lincoln's situation is expressed as p+n=0
Answer:
D. y = 4x
Step-by-step explanation:
y = 4x
Plug in The point (-1,-4) into the equation
when x = -1, y = 4(-1) = -4
So (-1,-4) is the solution of y = 4x
