Answer:
0.68269
Step-by-step explanation:
When we are to find the z score for population where a random sample is picked, the z.score formula we use is
z = (x-μ)/Standard error, where
x is the raw score,
μ is the population mean
Standard error = σ/√n
σ is the population standard deviation
n = random number of samples
For : x = 38 minutes, μ = 40, σ = 10, n = 5
z = 38 - 40/10 /√25
= -2/10/5
= -2/2
= -1
Determining the probability value using z table
P(x = 38) = P(z = -1)
= 0.15866
For : x = 42 minutes, μ = 40, σ = 10, n = 25
z = 42 - 40/10 /√25
= 2/10/5
= 2/2
= 1
Determining the probability value using z table
P(x = 42) = P(z = 1)
= 0.84134
The probability that their average waiting time will be between 38 and 42 minutes is calculated as
P(-Z<x<Z)
= P(-1 < x < 1)
= P(z = 1) - P(z = -1)
= 0.84134 - 0.15866
= 0.68269
Therefore, the probability that their average waiting time will be between 38 and 42 minutes is 0.68269
Area of square= s^2
12.25=s^2
take the sqrt(12.25) = 3.5
Perimeter of square = 4s
P=4(3.5)
P= 14 m
108 you just 45x2 then 9x2 and the answer that you times before
<u>Factoring:</u>
This equation cannot be factored because its roots are irrational (as shown by solving with the quadratic formula). Also, to factor a quadratic equation, you need to find a pair of numbers whose product is equal to the c term (-5) and whose sum is equal to the b term (-6). There is no pair of numbers which satisfies this, further showing that the equation cannot be factored.
<u>Quadratic Formula:</u>
The quadratic formula is x=
.
First, you need to find the a, b and c terms of your equation. They are 1, -6, and -5 respectively.
Now, you must plug in to the equation and solve for x. You must do so twice, once with a plus sign in the numerator and once with a minus.

The answers are 3+√14 and 3-√14.
Hope this helps!!
Answer: 1
Step-by-step explanation:
First you need to multiply 3 x 3 (9), because that's all 3 squared means.
Now the equation should be 9x-6x+3=0
Next we need to combine like terms. Do 9x - 6x which should give you 3x
Now your equations should be 3x+3=0
Now for the somewhat harder part...
Under the three (the one without the x) write -3 and under the zero write the same thing. the +3-3 cancels out so just put a line or something across it.
0-3= -3
so now you should have...
3x=-3 ignore the 3x, at this point it's useless in getting the answer because it would cancel out.
-3 divided by -3 is 1 because a negative (-) divided by a negative (-) equals a positive (+).
The answer should be x = 1