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Margarita [4]
2 years ago
5

bill is replacing his 15ft long by 12 ft wide deck. his new deck will add 5 feet to the length and 4 feet to the width. if a dra

wing of the new deck uses a scale of 1 inch =2.5 feet, fin the dimensions of the deck in the drawing
Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
7 0

The dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.

Given that the length of the previous deck = 15 feet

The width of the previous deck = 12 feet

Since the new deck will add 5 feet to the length and 4 feet to the width,

The length of the new deck = 15 + 5 = 20 feet

The width of the new deck = 12 + 4 = 16 feet

Also given that a drawing of the new deck uses a scale of 1 inch = 2.5 feet.

So, The length of the deck in the drawing = 20/2.5 inches = 8 inches

The width of the deck in the drawing = 16/2.5 inches = 6.4 inches

Therefore, the dimensions i.e. length and width of the deck in the drawing is 8 and 6.4 inches respectively.

Learn more about length here -

brainly.com/question/14782156\

#SPJ10

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Mensa is an international society that has
andrew11 [14]

Answer:

130.81

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ,

where from the question:

x is the raw score = ?

μ is the population mean = 100

σ is the population standard deviation = 15

We are told in the question that:

Mensa is an international society that has one and only one qualification for membership: a score in the top 2% on an IQ test.

The top 2% means a score in the 98th percentile

The z score of the 98th percentile = 2.054

Hence:

2.054 = x - 100/15

Cross Multiply

2.054 × 15 = x - 100

30.81 = x - 100

x = 30.81 + 100

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The IQ score that one should have in order to be eligible for Mensa is the score of 130.81

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3 years ago
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3 0
3 years ago
Read 2 more answers
Please help !!! can someone explain?
kari74 [83]

Given:

Total cites are 1\dfrac{1}{2} inches apart on the map.

Scale of the map is \dfrac{1}{2}\text{ inch }=40\text{ miles}

To find:

The actual distance between two cities.

Solution:

Distance between two cities on map = 1\dfrac{1}{2} inches

                                                              = \dfrac{1(2)+1}{2} inches

                                                              = \dfrac{3}{2} inches

We have,

\dfrac{1}{2}\text{ inch }=40\text{ miles}

Multiply both sides by 3.

\dfrac{3}{2}\text{ inch }=3\times 40\text{ miles}

\dfrac{3}{2}\text{ inch }=120\text{ miles}

So, the actual distance between two cities is 120 miles.

Therefore, the correct option is D.

3 0
3 years ago
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