Answer:
60°, 120°
Step-by-step explanation:
In New York State's Quick Draw lottery, players choose between one and ten numbers that range from 1 to 80. A total of 20 winnin
1 answer:
Answer:
The probability that he loses all 6 of his lottery games is 17.798% or 0.17798.
Step-by-step explanation:
Consider the provided information.
It is given that the probability of winning is 0.25.
That means the probability of losing is 1-0.25 = 0.75.
Suppose Lester plays the Quick Draw lottery 6 times. Each time, Lester only chooses a single number.
The probability that he loses all 6 of his lottery games
Hence, the probability that he loses all 6 of his lottery games is 17.798% or 0.17798.
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Answer:
m∠B ≈ 51.5°
Step-by-step explanation:
A triangle solver can find this answer simply by entering the data. If you do this "by hand," you need to first find length BC using the Law of Cosines. Then angle B can be found using the Law of Sines.
<h3>Length BC</h3>The Law of Cosines tells us ...
a² = b² +c² -2bc·cos(A)
a² = 21² +13² -2(21)(13)cos(91°) ≈ 619.529
a ≈ 24.8903
<h3>Angle B</h3>The Law of Sines tells us ...
sin(B)/b = sin(A)/a
B = arcsin(sin(A)×b/a) = arcsin(sin(91°)×21/24.8903)
B ≈ 57.519°
The measure of angle B is about 57.5°.
Answer:
, that is, option C
Step-by-step explanation:
From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.
This means that the proportions are:
Subtraction of proportions:
In the confidence interval, we subtract the proportions. So:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
Standard error:
For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
So the confidence interval is:
, that is, option C