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jok3333 [9.3K]
3 years ago
9

Micah made a scale model of the Empire State building.The building has an actual height of 381 meters. Micah’s model used a scal

e in which 1 cm represents 50 meters. what is the height in centimeters of Micahs model?
Mathematics
1 answer:
Marysya12 [62]3 years ago
3 0

<em>Answer:</em>

<em>1cm = 50 </em>

<em>2 cm = 50 x 2 </em>

<em>3cm = 50 x 3 </em>

<em>and the inverse:50m = 50/50 = 1cm </em>

<em>100m = 100/50 = 2cm </em>

<em>150m = 150/50 = 3cm </em>

<em>381m = 381/ </em>

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Answer: 0.00102%

Step-by-step explanation:

Given : Human body temperatures are normally distributed with a mean of \mu=98^{\circ}Fand a standard deviation of s=0.61^{\circ}F

A hospital uses 100.6^{\circ}F as the lowest temperature considered to be a fever.

Let x be the random variable that represents the human body temperatures.

z=\dfrac{x-\mu}{s}

For x= 100.6, z=\dfrac{100.6-98}{0.61}=4.26229508197\approx4.26

Using normal distribution table for z-values for right-tailed area ,

P(x>100.6)=P(Z>4.26)=0.0000102=0.00102\%

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3 years ago
At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides
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Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

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a)

The probability the visitor selects an authentic painting is  

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b)

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

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c)

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

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If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

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8 0
4 years ago
37 For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottl
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Answer:

Step-by-step explanation:

Let j represent the cost of a juice box.

Let w represent the cost of a bottle of water.

One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that

18j + 32w = 19.92 - - - - - - - - - - - - 1

The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that

14j + 26w = 15.76- - - - - - - - - - - - 2

Multiplying equation 1 by 14 and equation 2 by 18, it becomes

252j + 448w = 278.88

252j + 468w = 283.68

Subtracting, it becomes

- 20j = - 4.8

j = - 4.8/- 20 = 0.24

Substituting j = 0.24 into equation 1, it becomes

18 × 0.24 + 32w = 19.92

4.32 + 32w = 19.92

32w = 19.92 - 4.32 = 15.6

w = 15.6/32 = 0.4875

Kara's prices are incorrect.

the cost of a juice box is $0.24

the cost of a bottle of water is $0.4875

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3 years ago
What is 3 1/5 times 1/6?
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Answer:

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3 years ago
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Help, quick! Worth 100 points
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Answer:

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