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Mamont248 [21]
3 years ago
9

stacy has hired tom to build her a doll house. The doll house will be a scale model of her home, and the scale will be 2 inches:

3ft. The living room in stacy's house is 18 feet by 12 feet and has wall-to-wall carpeting. Hiw many square inches of carpeting will Tom need for thevliving room in Stacy's doll house?
Mathematics
1 answer:
Anni [7]3 years ago
4 0
We know that
[scale]=[doll house]/[<span>real house]
[scale]=12 in/3 ft

</span><span>The living room in stacy's house is 18 feet by 12 feet
</span>so
for 18 ft
 [doll house]=[scale]*[real house]-----> (12/3)*18--------> 72 in

for 12 ft
 [doll house]=[scale]*[real house]-----> (12/3)*12--------> 48 in

The living room in doll house is 72 in by 48 in
The living room area in doll house is (72*48)-----> 3456 in²

<span>Tom will need for the living room in Stacy's doll house 3456 in</span>² <span>of carpeting

the answer is </span>3456 in² of carpeting
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Answer:

a. <u>0.5 or 50%</u>

b. <u>0.496 or 49.6%</u>

c. <u>0.8185 or 81.85%</u>

d. <u>Yes, it would be just 0.0013 or 0.13% of probability to find a typist whose speed exceeds 105 wpm</u>

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f. <u>The qualifying speed would be 47.4 wpm.</u>

Step-by-step explanation:

a. Let's find the z-score this way:

μ  = 60 σ= 15

z-score = (x - μ)/σ

z-score = (60 - 60)/15

z-score = 0

Now, let's calculate the p value for z-score = 0, using the z-table:

<u>p (z=0) = 0.5 or 50%</u>

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If the question were less or equal than 60, a and b would have the same answer. But in this case, the question is "less than 60 wpm".

c.

z-score = (x - μ)/σ

z-score = (45 - 60)/15

z-score = - 1

Now, let's calculate the p value for z-score = -1, using the z-table:

p (z = -1) = 0.1587

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Now, let's calculate the p value for z-score = 2, using the z-table:

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d. z-score = (x - μ)/σ

z-score = (105 - 60)/15

z-score = 3

Now, let's calculate the p value for z-score = 3, using the z-table:

p (z = 3) = 0.9987

In consequence,

p (z > 3) = 1 - 0.9987 = 0.0013

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e. z-score = (x - μ)/σ

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Now, let's calculate the p value for z-score = 1, using the z-table:

p (z = 1) = 0.8413

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z-score = (x - μ)/σ

-0.84 = (x - 60)/15

-12.6 = x - 60

-x = -60 + 12.6

-x = - 47.4

x = 47.4

<u>The qualifying speed would be 47.4 wpm.</u>

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