Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
75% of her free-throws.
This means that 
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Answer:
A. 37 degrees
Step-by-step explanation:
Since QR is tangent to the circle, it means that is in a right angle. Meaning that angle Q is equal to 90 degrees.
Since you know what two angles are equal to, you can use the triangle angle sum theorem by setting them all up to 180.
53+90+x=180
Simplify the answer
143+x=180
Subtract 143 from both sides
X=37
:
Answer:
the length of the ladder is 8.827ft
Step-by-step explanation:
We know that the angle formed between the floor and the stairs is 65 °
the height at which the ladder reaches is 8 feet
between the floor and the house we know that we have a 90 degree angle
so we have a right triangle with its 8 foot wall leg
and an angle of 65 degrees on the floor and the stairs
the length of the stairs in this triangle would represent the hypotenuse
we have the angle and measure of the opposite leg, we want to know the hypotenuse
it is known that the sine of an angle in a rectangular triangle is equal to the opposite leg on the hypotenuse
sin 65° = op / hyp
sin 65° = 8 / hyp
0.9063 = 8 / hyp
hyp = 8 / 0.9063
hyp = 8.827
Answer:
12.17
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given : A market research worker interviewed a random sample of 18 people about their use of a certain product.
The results, in terms of Yes (Y) or No (N) are as follows:
Y-N-N-Y-Y-Y-N-Y-N-Y-Y-Y-N-Y-N-Y-Y-N.
The number of people said "Yes" for the product= 11
Then, the sample proportion for the users of the product =
We know that the sample proportion is the best estimate for the population proportion.
Thus the point estimate for population proportion : 
