Answer:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Step-by-step explanation:
If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.
Then we find
To find this probability we use the Z statistic.
This is the same as
We look for this value in the table for the normal distribution of right queue and we have:
<em>The probability of obtaining a score less than 60 is 2.28%
</em>
<em>It happens 2 out of 100 times.</em>
Answer:
-8n + 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
A = -3n + 2
B = 5n - 7
A - B
<u>Step 2: Simplify</u>
- Substitute: -3n + 2 - (5n - 7)
- Distribute negative: -3n + 2 - 5n + 7
- Combine like terms (n): -8n + 2 + 7
- Combine like terms (Z): -8n + 9
Answer:
height ≈ 31 ft
Step-by-step explanation:
The illustration below will form a right angle triangle. He is standing 17 ft away from the base of the statue. The angle of elevation from the ground to the top of the statue is 61°. The height of the statue can be computed below.
adjacent side of the triangle = 17 ft
opposite side = a
Using SOHCAHTOA principle
tan 61° = opposite/adjacent
tan 61° = a/17
cross multiply
a = 17 tan 61°
a = 17 × 1.80404775527
a = 30.6688118396
a ≈ 31 ft
16.22 divided by 2 = your answer. (8.11)