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a_sh-v [17]
2 years ago
7

Now suppose that bigger cups are ordered and the machine’s mean amount dispensed is set at μ=12. Assuming we can precisely adjus

t σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?
Mathematics
1 answer:
Elina [12.6K]2 years ago
4 0

Answer:

σ should be adjusted at 0.5.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.

Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?

13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.

So 1 should be worth two standard deviations. Then

2\sigma = 1

\sigma = \frac{1}{2}

\sigma = 0.5

σ should be adjusted at 0.5.

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c) 200 people are asked about three brands of beverages Coffee, Tea and Chocolate. 36 like Coffee only, 46 like Coffee but not T
Agata [3.3K]

The number of people who like black coffee i) 52

Number of the people who don't like any of the drinks ii) 66

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

This sort of problem is usually solved using some sort of table or Venn diagram. We have used a table in the attachment such that each of the cells in the grid represents one of the 8 possible combinations of coffee, tea, or chocolate.

The numbers in black are given directly by the problem statement. The numbers in blue are calculated from the numbers in black and one of the other given numbers in the problem statement. The numbers in red are calculated so the totals work out correctly.

The cells shaded blue-gray are "one and only one" of the drinks. The cell-shaded purple-gray is "don't like any".

i) black coffee

We assume that any form of "coffee" is "black coffee." The problem statement tells us that 52 people like coffee.

ii) none

The last number we calculated is the number who like none of the drinks: 66. This brings the total of non-coffee drinkers to 148.

Additional comment

As noted above, the colors more or less indicate the order of the calculations. We started with 36 who like coffee only, and 46 who like coffee and not tea. That means 46-36=10 like coffee and chocolate, but not tea.

Since 16 like coffee and chocolate, that leaves 16-10=6 who like coffee and tea and chocolate (all three).

96 like chocolate, but 16 of those like chocolate and tea. The other 80 like chocolate, but not tea.

46+16=52, so there must be 0 who like coffee and tea, but not chocolate.

The number who like only one is 108. We already have 36 that are coffee only, 80-10 = 70 that are chocolate only, so there must be 108 -70 -36 = 2 who like a tea only.

Now, we can finish filling the top row of the table and the totals in the bottom row.

Therefore the number of people who like black coffee i) 52 , Number of the people who don't like any of the drinks ii) 66

To know more about probability follow

brainly.com/question/24756209

#SPJ1

5 0
1 year ago
The lateral surface area is _ square centimeters.
Liula [17]

Answer: 24

Step-by-step explanation:

5 0
3 years ago
What is the gcf of 60 and 20
Daniel [21]
Since 20<span> is the largest number </span>common<span> to both lists, the </span>GCF<span> of 40 and </span>60<span> is </span>20<span>.</span>
6 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the points (0,8) and (-1, –4).
andrey2020 [161]

Answer:

Step-by-step explanation

First, let's remember the equation for point-slope form and how to find the 'm' value:

y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12

Now plug your m value and (x1, y1) into point-slope form:

y - 8 = 12(x-0)\\reduce\\y=12x+8

8 0
2 years ago
A rectangular prism has a length of 5 cm, a width of 2 1/2 cm, and a expressions height of 1 1/2 cm. Which can be used to find t
Assoli18 [71]

To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]

V = 5 * 2 1/2 * 1 1/2

V = 12 1/2 * 1 1/2

V = 18 3/4cm³

Now that we know the volume, we can check each answer choice.

Option A:

5 ∙ 2 1/2 ∙ 1 1/2

12 1/2 * 1 1/2

18 3/4cm³

Option B:

12 1/2 ∙ 1 1/2

18 3/4cm³

Option C:

1 1/2(5 + 2 1/2)

1 1/2(7 1/2)

11 1/4cm³

Option D:

1/2(12 1/2 ∙ 1 1/2)

1/2(18 3/4)

9 3/8cm³

Therefore, the only correct options are A and B.

Best of Luck!

5 0
3 years ago
Read 2 more answers
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