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3 years ago

What is the mean of the data set below: 0 1 1 2 5 6

1 answer:

4 0

"Mean" is another way of saying average.
To find the average/mean, add up all the numbers and then divide by the amount of numbers that are in the data set.

Step 1: Add the numbers.
0 + 1 + 1 + 2 + 5 + 6
= 15

Step 2: Divide the sum by the amount of numbers in the set.
There are 6 numbers in the data set.
Their sum is 15.
Divide 15 by 6.
15 / 6
= 2.5

Answer:
The mean, also known as average, of this data set is 2.5.

Hope this helps!

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A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp

fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion $\hat p$

$\hat p = \dfrac{x}{n}$

$\hat p = \dfrac{55}{100}$

$\hat p$ = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

$Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576$

Then the margin of error $E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}$

$E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}$

$E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}$

$E = 2.576 \times0.04975$

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: $\hat p - E$

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0

2 years ago

Kala must choose a shirt, a pair of pants, and a cap for today's outfit. She has 3 shirts, 3 pairs of pants, and 1 cap to choose

Mrac [35]

Answer:

just multiply all the variables.

3 pants times 3 shirts= 9.

only 1 hat, so no variable there.

9 outfits

8 0

3 years ago

A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per uni

aleksandrvk [35]

Answer:

a. x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Min 6x1 + 5.5x2

c. x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

Step-by-step explanation:

a. We can consider the variables x1 and x2 as:

x1 = No. of units to purchase from Iowa

x2 = No. of units to purchase from Illinois

b. Price per unit of Iowa corn = $6

Price per unit of Illinois corn = $5.5

Objective function that would minimize the total cost can be written as:

Min 6x1 + 5.5x2

c. The manufacturer needs at least 12000 units of corn which means that the combined number of units from Iowa and Illinois must be greater than or equal to 12000. So, we can write:

x1 + x2 ≥ 12000

The Iowa cooperative can supply up to 8000 units which means that the value of x1 must not be greater than 8000. So, we can write:

x1 ≤ 8000

Similarly, the Illinois cooperative can supply at least 6000 units which means that the value of x2 must not be less than 6000. So, we can write:

x2 ≥ 6000.

The constraints for these conditions are:

x1 + x2 ≥ 12000

x1 ≤ 8000

x2 ≥ 6000

6 0

3 years ago

Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded cheese and 4 tablespoons of

Masja [62]

Nolan will need 2 table spoons of milk for a smaller batch of his family’s macaroni and cheese recipe.

5 0

2 years ago

Which functions have removable discontinuities (holes)? Check all of the boxes that apply.

Naya [18.7K]

Answer:

a b d

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers