Answer:
The variance of the total number of points she scores from these shots is 4.8951.
Step-by-step explanation:
For each 3-point shot that she takes, there are only two possible outcomes. Either she makes it, or she misses. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution:
Probability of exactly x sucesses on n repeared trials, with p probability.
Has the variance given by:
In this problem, we have that:
She takes 7 shots, each one with a 37% probability of success. So 
. So:
This is the Variance of the number of shots that she makes. Each shot is worth three points. So the variance of the total number of points she scores from these shots is 3*1.6317 = 4.8951.
Let x be the number of new laptops and y be the number of tablets that the company should buy. The equations that best show the given conditions are as follows,
x + y = 30
515x + 285y = 11080
Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.
Thus, the business should buy 11 laptops and 19 tablets.
Answer:
sin S = is the ratio found.
Step-by-step explanation:
It is given that m∠U = 90°
TS is the hypotenuse = 73 units
UT is the adjacent side of the right angle = 48 units
SU is the base of the triangle = 55 units
Now we have to find the ratio as,
sin S =
sin S =
Plugin the values, we will get,
sin S =
So the ratio was found.
disclaimer this is not my work it is youaskianswer's work.
Answer:
The value of the angle x is 48°.
Step-by-step explanation:
Base of the triangle = 10
Height of the triangle = 11
The value of the angle x to the nearest degree is 48°.
