Answer:
152
Step-by-step explanation:
Since the measure of angle XYZ is 76 degrees, we know that the measure of XYZ would be twice the amount of the angle measurement due to the square root theorem. In this case 76 times 2 or 76 plus 76 equals 152 degrees. 152 degrees is your final answer.
Answer:
1.15%
Step-by-step explanation:
To get the probability of m independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:


This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

n is the number of events
k is the number of success
p is the probability of each individual event
is the binomial coefficient
the binomial coefficient allows to find the subsets of k elements in a set of n elements. In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

therefore, for this questions we have:

the answer is $3.88
Step-by-step explanation:
because the ice cream was $4.00 and they subtracted it by 12% which would be $4.00 minus .12 which would give you $3.88
First you draw threes cookies, then you give a cookie to each child, then with the last cookie you split it in half and they each have 1 1/2 cookie.