Answer:
Step-by-step explanation:
Answer:
66 in
Explanation:
the circumference can be calculated as:
Where d is the diameter and π is 22/7.
So, replacing the values, we get:
Therefore, the circumference is 66 in.
Answer:
<u>The correct answer is 5/24 or 0.21</u>
Step-by-step explanation:
1. Let's review all the information given to answer the question correctly:
Science class in seventh grade = 4 girls and 4 boys
Science class in eighth grade = 5 girls and 7 boys
2. What is the probability that both students selected for the competition are girls, a seventh grader and an eighth grader?
These are independent events, therefore:
Probability of two independent events = Probability of A * Probability of B
Probability of both students selected for the competition are girls = 4/8 * 5/12
Probability of both students selected for the competition are girls = 20/96 = 5/24
<u>The correct answer is 5/24 or 0.21</u>
X = 50 degrees
y = 50 degrees
Explanation:
x + 130 = 180 (Angles between parallel lines)
x = 50
y = x = 50 (Corresponding angles)
Compute 2²⁰¹⁷ modulo 100.
From the given table,
2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)
and we have
2017 = 32 • 62 + 33
62 = 1 • 42 + 20
Then
2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2¹⁷ (mod 100)
and from the table, we get
2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)
