Answer:
D. 0.5256
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Given n = 10, p = 0.25, and q = 0.75.
If r = 0:
P = ₁₀C₀ (0.25)⁰ (0.75)¹⁰⁻⁰
P = 0.0563
If r = 1:
P = ₁₀C₁ (0.25)¹ (0.75)¹⁰⁻¹
P = 0.1877
If r = 2:
P = ₁₀C₂ (0.25)² (0.75)¹⁰⁻²
P = 0.2816
So the total probability is:
P = 0.0563 + 0.1877 + 02816
P = 0.5256
The line in the middle has a right angle, so the angle just above the Y would be 90 degrees.
The angle to the right of y is given as 48.
The three inside angles of a triangle need to equal 180.
So y = 180 - 90 - 48 = 42 degrees.
Answer: 2 quarters = 50 cents, 3 dimes = 30 cents, 4 nickels =20 cents. 50+30+20=100 cents.
Step-by-step explanation:
The greatest common factor (GCF) of 24, 44, and 52 is: 4
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 44: 1, 2, 4, 11, 22
Factors of 52: 1, 2, 4, 13
The common factors between them are 1, 2, and 4, but 4 is the greatest, making it the GCF.
