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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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Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need a
vesna_86 [32]

Answer:

(Choice C) 24+12R ≤100

$56

Step-by-step explanation:

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.

1)

Which inequality describes this scenario?

Choose 1 answer:

(Choice A) 12+ 24R ≤ 100

(Choice B) 12+24R ≥ 100

(Choice C) 24+12R ≤100

(Choice D) 24+12 ≥100

2)

What is the least amount of additional money Sofia can spend to get the sushi they need?

ans) ___ dollars

please solve fast !!!! thank you from advance :)

The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders

Sofia has ordered 24 pieces

Sofia needs 100 pieces

sushi comes in rolls

12 pieces per roll

= 12R

24 + 12R ≤ 100

(Choice C) 24+12R ≤100

B.

24 + 12R ≤ 100

12R ≤ 100 - 24

12R ≤ 76

R ≤ 76 / 12

R ≤ 6.33

Approximately 7 rolls

Sofia will order 7 more rolls

Each roll cost $8

R ≤ 7

7 × 8

= $56

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3 years ago
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