Maria spins a penny 100 times and it lands head side up 62 times. Explain why Maria's experimental probability may be different from the theoretical probability of spinning a coin.

because the term 50-50 is relative

Step-by-step explanation:

spinning a coin 100 times and counting how many times it lands on either side will likely not give you a perfect 50-50 count. if you were to spin the coin 100 times, record the data, repeat the process with separate data, and then find the average out of all the totals of numbers of times the coin landed on either side, then that number will highly likely be 50 give or take. the other reason is because every time the coin is spun there is a 50-50 chance of it landing on either side. so its not a guarantee that out of 100 spins the coin will land on one side exactly 50 times.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°