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.
Answer:
y = -2/3x + 5
Step-by-step explanation:
(-3, 7) and (3, 3)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(3 - 7) / (3 -(-3))
Simplify the parentheses.
= (3 - 7) / (3 + 3)
Simplify the fraction.
= (-4) / (6)
= -4/6
= -2/3
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -2/3x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.
3 = -2/3(3) + b
To find b, multiply the slope and the input of x(3)
3 = -2 + b
Now, add 2 to both sides to isolate b.
5 = b
Plug this into your standard equation.
y = -2/3x + 5
This is your equation.
Check this by plugging in the other point you have not checked yet (-3, 7).
y = -2/3x + 5
7= -2/3(-3) + 5
7 = 2 + 5
7 = 7
Your equation is correct.
Hope this helps!
Answer:
$6000
Step-by-step explanation:
so basically, 25% of the 100% value is gone, right? which means that 75% of the value would remain. After that, all is easy. 8000*0.75, since 75% is 0.75, and the answer of that is 6000, so the current value is 6000 dollars.
Answer: 1-14' 1" is prob. your width
Step-by-step explanation:
i can’t find out length Sorry.