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3 years ago

Now 11. why is math so hard

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

A. h = 30Ft * 1.26cm/Ft = 37.8 cm. = Ht. of the model.

37.8cm * 1toothpick/6.3cm = 6 Toothpicks

B. 37.8cm/7.6 = 4.97 hope this helped.

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The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?

Alexandra [31]

The number that was left out is 70.

<h3>What is the number that was left out?</h3>

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

Sum of numbers when there are 8 numbers = 56 x 8 = 448
Sum of numbers when there are 7 numbers = 54 x 7 = 378
Difference = 448 - 378 = 70

To learn more about average, please check: brainly.com/question/25842202

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2 years ago

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2 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

$\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167$

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

$\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948$

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

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3 years ago

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Aleonysh [2.5K]

Answer:

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Step-by-step explanation:

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3 years ago

Round your answer to the nearest hundredth.

Nat2105 [25]

Answer:

Step-by-step explanation:

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2 years ago

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