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.
The ship is 88.8 miles far from the port at 4 pm.
Given,
The displacement from 1 to 3 in the afternoon.
D1 = 30 miles/hr × 2 hr
= 60 miles to the north
The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.
Therefore, D2 = 30 miles/hr × 1 hr
= 30 miles to the 20° north eastward
By combining two vectors, the resulting displacement:
D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²
D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²
D = 88.8 miles
Hence the ship is 88.8 miles far away from the port at 4 pm.
Learn more about "Law of sines and cosines" here-
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Answer:
In area of a square we will learn how to find the area by counting squares.
To find the area of a region of a closed plane figure, we draw the figure on a centimeter squared paper and then count the number of squares enclosed by the figure.
We know, that square is a rectangle whose length and breadth are equal. In a square all four sides are equal.
Step-by-step explanation:
There will be a 25 grams left after 3240 years.
The half-life of Radium-226 is 1620 years. If we divide 3240 by 1620 the answer is 2. So that means the amount of Radium-226 will divide in half twice.
100 / 2 = 50 / 2 = 25
You have to include a drawing that relates the distace between de towers and some angles.
I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.
This lets you calculate the distance between the towers, d, as
tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft
The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.
Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft
Answer: 366.29 ft
