Answer:
2.87%
Step-by-step explanation:
We have the following information:
mean (m) = 200
standard deviation (sd) = 50
sample size = n = 40
the probability that their mean is above 21.5 is determined as follows:
P (x> 21.5) = P [(x - m) / (sd / n ^ (1/2))> (21.5 - 200) / (50/40 ^ (1/2))]
P (x> 21.5) = P (z> -22.57)
this value is very strange, therefore I suggest that it is not 21.5 but 215, therefore it would be:
P (x> 215) = P [(x - m) / (sd / n ^ (1/2))> (215 - 200) / (50/40 ^ (1/2))]
P (x> 215) = P (z> 1.897)
P (x> 215) = 1 - P (z <1.897)
We look for this value in the attached table of z and we have to:
P (x> 215) = 1 - 0.9713 (attached table)
P (x> 215) =.0287
Therefore the probability is approximately 2.87%
Answer:
x = 6
Step-by-step explanation:
12x+252=324
Subtract 252 from each side
12x+252-252=324-252
12x =72
Divide each side by 12
12x/12 = 72/12
x =6
The answer is Angle fpg is 70
Answer:
(k+10f) (k-5f)
Step-by-step explanation:
k^2+5kf-50f^2
What 2 numbers multiply to -50 and add to +5
10 *-5 = -50
10+-5 = 5
(k+10f) (k-5f)
Answer:
h = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.75h + 3 = 12
<u>Step 2: Solve for </u><em><u>h</u></em>
- Subtract 3 on both sides: 0.75h = 9
- Divide 0.75 on both sides: h = 12
<u>Step 3: Check</u>
<em>Plug in h into the original equation to verify it's a solution.</em>
- Substitute in <em>h</em>: 0.75(12) + 3 = 12
- Multiply: 9 + 3 = 12
- Add: 12 = 12
Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
