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olya-2409 [2.1K]
2 years ago
11

The weight of bags of coffee beans at the grocery store follows a Normal distribution with a mean of μ = 7 ounces and a standard

deviation of σ = 2 ounces. Suppose we pick four bags of coffee beans at random from the shelf and find their total weight, W. Which of the following statements describes the random variable W?
A. The random variable W is Normal, with a mean of seven ounces and a standard deviation of two ounces.
B. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of 16 ounces.
C. The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.
D. The random variable W is binomial, with a mean of 28 ounces and a standard deviation of four ounces.
E. The random variable W is binomial, with a mean of seven ounces and a standard deviation of two ounces.
Mathematics
1 answer:
aleksley [76]2 years ago
4 0

Answer:

C.

Step-by-step explanation:

The random variable W is Normal, with a mean of 28 ounces and a standard deviation of four ounces.  

mean of total = 7+7+7+7 = 28

Variance of total = 4+4+4+4 = 16

SD of total = sqrt(16) = 4

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45
36 to R AND B
36/5=7.2
7.2x2=14.4 for Roger
7.2x3=21.6 for Bethan
6 0
3 years ago
Is (4, -2) the solution of the system of equations shown
Advocard [28]

No, because if you substitute (4, -2) into x and y in each equation, they are not the same as the value on the right side of the equation.

2(4) + 4(-2) = - 2

8 + -8 = -2

0 = -2 <---- this is not correct.

-4(4) + -2 = -14

-16 + -2 = -14

-18 = -14 <----- this is not correct.

8 0
2 years ago
Harrison ordered 6 cases of pickles for his restaurants. Each case contained p jars of pickles. Harrison delivered an equal numb
natita [175]
6 cases ordered
'p' jars in each case
Total number of jars is    (6 cases) x (p jars/case)  =  6p jars

Split 7 ways, each restaurant gets (1/7) of the total order = 6p/7 jars.

I sure hope 'p' is a multiple of 7, or else Harrison might
need to deal with the number of pickles in each jar.
5 0
3 years ago
Read 2 more answers
What is the mean absolute deviation of the data: 10, 20, 15, 17, and 13?
Rufina [12.5K]

Answer:

2.8

Step-by-step explanation:

1) find the mean of the data set. = 15

2) find the abs value of the diff between each data value and the mean: |data value – mean|.

|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2

3) find the sum of the abs values of the diff = 14

4) divide the sum of the abs value by the number of data values = 14/5 = 2.8

5 0
3 years ago
Find the point of intersection (if any) of the following pairs of lines: a) x – 2y +1=0 2x + 3y – 7 = 0 b) x-2y+11=0 -x+2y-13 =
pychu [463]

Answer:

a) (11/7, 9/7)

b) There's no point of intersection

Step-by-step explanation:

a) x - 2y + 1 = 0

2x + 3y - 7 = 0

To find the point of intersection, we need to solve the system of equations  and the result will be the point of intersection (x,y)

x-2y+1=0\\x= 2y-1

Now we substitute x in the second equation:

2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7

Now we substitute y in our first equation.

x-2y+1=0\\x-2(9/7)+1=0\\x-18/7+1=0\\x=18/7-1\\x=11/7.

The point of intersection is (11/7, 9/7)

b) x -2y +11 =0

-x + 2y - 13 =0

We are going to follow the same procedure:

x-2y+11=0\\x=2y-11

-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2

Since this system of equations doesn't have a solution, the system has no point of intersection.

5 0
2 years ago
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