The angle subtended by a diameter is a right angle. That's Thales' Theorem (one of them anyway), sometimes thought to be the first theorem of geometry.
So the first choice is true.
The other angles are complementary, not necessarily congruent.
The sides and arcs aren't necessarily congruent either
Answer: first choice
Sam is 5
Tom is 3 times older so 3*5=15
The difference between them is 15-5=10 years
When Sam is 20 we add the difference 20+10=30, and we have Tom's age :)
Answer:
a) 0.383
b) 0.375
Step-by-step explanation:
a) Calculate each z-score.
z = (x − μ) / σ
z₁ = (112 − 118) / 12 = -0.5
z₂ = (124 − 118) / 12 = 0.5
Use a calculator or z-score table to find the probability.
P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383
b) 0.383 × 16 ≈ 6. So the expected proportion would be 6/16 = 0.375.
Answer:
0.85% probability that the first two are good and the last three are spoiled
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
2 spoiled, from a set of 43-11 = 32.
3 spoiled, from a set of 11.
So
Total outcomes:
5 jugs from a set of 43.
Probability:
0.85% probability that the first two are good and the last three are spoiled
Your answer is B. 620. I got this answer because the rule is that if the last two digits are divisible by 4, then the whole number is, and the last two digits of 620 are 20, and 20 ÷ 4 = 5.
I hope this helps!