I would say 2 because it says he calculated his 2- score.
Answer:
4°
Step-by-step explanation:
All the angles in a triangle add together to equal 180°. We know there are three angles of 20° so let's subtract this.
20° × 3 = 60°
180° - 60° = 120°
Now well divide 120° up among the three angles.
120° ÷ 3 = 40°
Now we know the angles are 40° + 20°, but we need to find the value of x, so divide 40° by 10
40° ÷ 10 = 4°
x = 4°
Answer:
x = √7
Step-by-step explanation:
First find the missing angle of the triangle with the side as 5, and the hypotenuse as 6.
a² + b² = c²
5² + b² = 6²
25 + b² = 36
b² = 11
b = √11
So now we know that for the triangle with sides 2 and x, the hypotenuse is √11. Now use the Pythagorean Theorem to find x.
a² + b² = c²
2² + x² = (√11)²
4 + x² = 11
x² = 7
x = √7.
Answer:
c. 0.219
Step-by-step explanation:
If the coin is fair, then the probability of flipping a head is 1/2 = 0.5
Therefore, we can model this as a binomial distribution:
X ~ B(n, p) where n is the number of events and p is the probability of success
Given:
X ~ B(8, 0.5)
Using a calculator:
P(X = 5) = 0.21875 = 0.219 (3 dp)
Using the formula:
(where n is the number of events, x is the number of desired successes and p is the probability of success)