We need to 'standardise' the value of X = 14.4 by first calculating the z-score then look up on the z-table for the p-value (which is the probability)
The formula for z-score:
z = (X-μ) ÷ σ
Where
X = 14.4
μ = the average mean = 18
σ = the standard deviation = 1.2
Substitute these value into the formula
z-score = (14.4 - 18) ÷ 1..2 = -3
We are looking to find P(Z < -3)
The table attached conveniently gives us the value of P(Z < -3) but if you only have the table that read p-value to the left of positive z, then the trick is to do:
1 - P(Z<3)
From the table
P(Z < -3) = 0.0013
The probability of the runners have times less than 14.4 secs is 0.0013 = 0.13%
Answer:
the answer is a because ots increased by 8 inches
Answer:
x = -36
Step-by-step explanation:
Step 1: Write equation
x/16 - (x + 2)/8 = 2
Step 2: Solve for <em>x</em>
- <u>Multiply both sides by 16:</u> x - 2(x + 2) = 32
- <u>Distribute -2:</u> x - 2x - 4 = 32
- <u>Combine like terms:</u> -x - 4 = 32
- <u>Add 4 to both sides:</u> -x = 36
- <u>Divide both sides by -1:</u> x = -36
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-36/16 - (-36 + 2)/8 = 2
-9/4 - -34/8 = 2
-9/4 + 17/4 = 2
8/4 = 2
2 = 2
Answer: h = -4
Step-by-step explanation:
-9h-6+12h+40=22
-9h+12h=22+6-40 "collect all unknown values in a side and collect numbers in other side "
"Don't forget to Change signs"
3h= -12
3h/3 = -12/3 "dividing by 3 in both sides"
h= -4
We need to position the four points so they all are on the graph of an exponential function.
As an example of an exponential function, let's use the following function:
Now, to find where the points should be located, let's choose some values of x and calculate the corresponding values of y:
Therefore the points should be located at (-2, 1/4), (-1, 1/2), (0, 1), and (1, 2).