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:
a) Figure attached
b) If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
c) 
We can find the numerator like this:
And then:
d) ![r=\frac{5(906)-(80)(50)}{\sqrt{[5(1552) -(80)^2][5(586) -(50)^2]}}=0.693](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%28906%29-%2880%29%2850%29%7D%7B%5Csqrt%7B%5B5%281552%29%20-%2880%29%5E2%5D%5B5%28586%29%20-%2850%29%5E2%5D%7D%7D%3D0.693)
Step-by-step explanation:
Part a
For this part we use excel in order to create the scatterplot and we got the result on the figure attached.
Part b
If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
Part c
The sample covariance is defined as:
We can find the numerator like this:
And then:
Part d
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=5 
So then the correlation coefficient would be r =0.693
Answer:
The answer to your question is below
Step-by-step explanation:
Formula an expression that uses variables to state a rule
Constant a number; a term containing no variables
Variable a letter or symbol used to represent an unknown number
Term a number or a variable, or the product of a number and variable(s)
Expression one term or multiple terms connected by an addition or subtraction sign
Answer:
9/32 of the cookie was left for Stephanie to eat after lunch
Step-by-step explanation:
Anastasia’s mom baked a giant sugar cookie for her birthday.
On her birthday, ⅝ of the birthday cookie was eaten.
So, remaining cake =
The next day her brother ate ¼ of what remained.
Amount of cake eaten by her brother = 
So, remaining cake = 
Hence 9/32 of the cookie was left for Stephanie to eat after lunch
Answer:
Equations are
20c + 10m = 495..............(1)
8c + 1m = 178.5.................(2)
Now , equation (2) * 10 = 80c + 10m = 1785...........(3)
So, Eq. (3) - Eq(1) =
80c + 10m - 20c - 10m = 1785 - 495
60c = 1290
c= 21.5
********************************************************
Now place the value of c in Eq (2)
So , m =6.5
Mark my answer as brainlist answer
Step-by-step explanation:
