Answer:

Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:

The outcomes of multiples of 4 is:


So, the probability of multiples of 4 is:


The sample size of PENNSYLVANIA is:

The outcome of V is:

So, the probability of V is:

So, the required probability is: P(Multiple of 4 and V)




Express as percentage


Answer:
Slope <em>m</em> = 3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -1 + 3x
<u>Step 2: Rewrite</u>
<em>Rearrange</em>
y = 3x - 1
<u>Step 3: Break Function</u>
<em>Identify parts</em>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -1
The experimental probability of the coin landing heads up is 110/200 = 11/20.
The theoretical probability is 1/2
Answer:P=-1
Step-by-step explanation:
1/2-1+9/4=7/4
Answer:
-¹²/₅
Step-by-step explanation:
Let cos a = -⁵/₁₃
Then tan a = sin a/cos a
= [√(1 - cos²a)]/cos a
= {√[1 - (-⁵/₁₃)²]}/(-⁵/₁₃)
= -[√(1 - ²⁵/₁₆₉)] × ¹³/₅
= -[(√(¹⁴⁴/₁₆₉ )] × ¹³/₅
= -¹²/₁₃ × ¹³/₅
= -¹²/₅
tan(arccos (-⁵/₁₃)) = -¹²/₅
The diagram shows the 2nd quadrant of a circle with radius 13, cos a = -⁵/₁₃, and tan a = ¹²/₍₋₅₎ = -¹²/₅.