A regular card deck contains 52 cards, 4 of which are aces. Assuming the cards are dealt randomly, what is the probability that the first card dealt will be an ace?
A regular card deck contains 52 cards, 4 of which are aces. Assuming the cards are dealt randomly, what is the probability that the first card dealt will be an ace?
A regular card deck contains 52 cards, 4 of which are aces. Assuming the cards are dealt randomly, what is the probability that the first card dealt will be an ace?
Answer:
Therefore the measures of the angles are 22.5° and 67.5°.
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have

Here,
Let the common multiple be 'x '
Then the the Complementary Angles will be 'x' and '3x'.
....property of Complementary Angles.
Solving the equation we get

Substituting 'x' values we get
x= 22.5°
3x = 3 × 22.5 = 67.5°
Therefore the measures of the angles are 22.5° and 67.5°.
Answer:
subtraction
Step-by-step explanation:
x +15 = 9
-15 = -15
x = -6
Answer:
0.86 (Approx)
Step-by-step explanation:
Given:
n = 35
P = 55% = 0.55
Q = 1 - p = 0.45
Computation:
Standard deviation σ = √npq
Standard deviation σ = √(35)(.55)(.45)
Standard deviation σ = 2.9432
Mean μ = np = 35 x 0.55 = 19.25
p[(x-np)/ σ ]
P[z<1.04204]
= 0.86 (Approx)