1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bazaltina [42]
2 years ago
8

A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The

company ships them to restaurants in boxes of 9 ​salmon, to grocery stores in cartons of 49 ​salmon, and to discount outlet stores in pallets of 64 salmon. To forecast​ costs, the shipping department needs to estimate the standard deviation of the mean weight of the salmon in each type of shipment.
Mathematics
1 answer:
brilliants [131]2 years ago
7 0

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

  • Restaurants: We have boxes with 9 salmon each, so it will be \frac{2}{\sqrt{9}} = \frac{2}{3}
  • Grocery stores: Each carton has 49 salmon, thus the standard deviation is \frac{2}{\sqrt{49}} = \frac{2}{7}
  • Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is \frac{2}{\sqrt{64}} = \frac{1}{4}

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

You might be interested in
Circle O has a circumference of 88π cm.
Lena [83]

Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0
3 years ago
At dinner, the meal cost $22 and a $1.87 sales tax was added to the bill. What would be the total amount if the meal cost $80.
Helen [10]
1.87 is 8.5% of 22 so 8.5% of 80 is 0.085 x 80 so $6.80
3 0
2 years ago
Question: State whether each table of values represents a function​
Mashcka [7]

Answer:

Please check the explanation.

Step-by-step explanation:

  • As we know that the values in the table represent a function​ only if there there is only 1 input for every output.

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

3 0
3 years ago
30 PTS 30 PTS 30 PTS 30 PTS
wariber [46]
1 and 2 are equations and 3 is a solution
5 0
3 years ago
Read 2 more answers
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
yarga [219]

Answer:

(x-5)^2+(y-2)^2=9\\

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): C(5, 2)

r=3

The equation of circle is:

(x-h)^2+(y-k)^2=r^2\\

Where, (h, k) represents the center point and r is the radius of the circle.

Plotting the values in the equation:

(x-5)^2+(y-2)^2=3^2\\

(x-5)^2+(y-2)^2=9\\

This is the equation of the circle of center (5, 2) and radius 3.

6 0
3 years ago
Other questions:
  • 500 is 62.5% of what number?
    10·2 answers
  • Find the value of y for the given value of x for the equation: y = x - 8; x =<br> 5*
    15·1 answer
  • What is the end value of -(-31)?
    11·1 answer
  • If a car travels at a constant speed of 45km/hr how long will a journey of 270km take?<br><br>​
    5·2 answers
  • a father's age is three less than two times the son's age. the difference in their ages is 30 years. find the son's age.
    12·2 answers
  • Please help me . need your help .
    15·2 answers
  • Help help asap please please please
    5·1 answer
  • Al's Cardboard produces cereal boxes and uses the expression 16x2+56x+24 to determine the volume of each box. The cereal box bel
    9·2 answers
  • Find the value of (1/2)^3 A. 1/6 B. 3/6 C. 1/8 D. 1/2​
    14·2 answers
  • Go step by step to reduce the radical of the equation given. (Figure the step for the box)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!