Answer: 1)100ways and 2)90ways
Step-by-step explanation:
Given :-The 10 students who completed a special flying course are waiting to see if they will be awarded the one Distinction or the one Merit award for their efforts.
Ways can the two awards be given if the same student can receive both awards (i.e repetition is allowed)
=10×10=100ways
Ways can the two awards be given if the same student cannot receive both awards(i.e. repetition is not allowed)
=10×9=90ways
Answer:
x = 67°
Step-by-step explanation:
angle FGD and angle CGE are vertical angles, meaning that they both have the same value. This concludes that angle FGD must be 23°. Now, we have to find angle x. We know that angle x and angle FGD are complementary, meaning they sum to 90°. Therefore, x = 90° - 23° = 67°.
Answer:
-4
Step-by-step explanation:
-2i times (-2i) can be rewritten as (-2)^2*i^2.
Recalling that i^2 = -1, we then have (-2)^2*(-1)
Completing this evaluation, we get -4.
Answer:
The probability that X is nine or more is 0.405.
Step-by-step explanation:
We have a sample of 20 random selected workers, each with a probability p=0.4 of changing jobs for "slightly higher pay".
We have a random variable X that can be modeled by the binomial distribution, with parameters n=20 (sample size) and p=0.4 (probability of success).
The probability that k workers will change jobs for slightly higher pay can be calcualted as:
We have to calculate the probability that the number of workers in the sample who will change jobs for slightly higher pay is 9 or higher. That is P(X≥9).