1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mamont248 [21]
3 years ago
14

Ezra drew a scale drawing of a house and its lot. The deck is 90 inches wide in the drawing.

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer:

a). Scale: 1 inch:0.4 feet

b). actual measurement=24 feet

Step-by-step explanation:

a).

Step 1

We know that;

1 foot=12 inch

Step 2

Convert 36 feet to inches as follows

If 1 foot=12 inches, then 36 feet converted to inches will be;

(36×12)=432 inches

actual measurement=432 inches

Step 3

We can express the relation ship between the drawing measurement and the actual measurement as follows;

Actual measurement=scale factor×drawing measurement

where;

actual measurement=432 inches

drawing measurement=90 inches

scale factor=s

replacing;

432=s×90

90 s=432

s=432/90

s=4.8

Meaning in order to convert a drawing measurement in inches to the actual measurement in inches, we multiply the drawing measurement by a scale factor of 4.8. This implies;

1 inch drawing represents 4.8 inches on the actual deck, or similarly;

1 inch drawing represents (4.8/12), 0.4 feet on the actual deck

Scale: 1 inch:0.4 feet

b). Convert 5 inches drawing to actual measurement

Actual measurement(feet)=drawing measurement×scale factor

where;

drawing measurement=5 inches

scale factor=4.8

replacing;

actual measurement=(5×4.8)=24 feet

You might be interested in
Plssss some help me with my homework
Sergio039 [100]
The missing side length is 8 units
4 0
3 years ago
Read 2 more answers
What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev
Helen [10]

Answer:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable if interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sigma)  

We are interested on this probability

P(X>\mu +1.8 \sigma)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)

And we can find this probability using the complement rule:

P(z>1.8)=1-P(z

And using the normal standard distirbution table or excel we got:

P(z>1.8)=1-P(z

5 0
3 years ago
What is the vertex of the following equation?<br><br> y = (x + 7)2 + 3
Ede4ka [16]
X = -17/2 is the answer if I’m correct
4 0
3 years ago
What is the purpose of Australians paying tax?
mr_godi [17]
Tax is money people and businesses pay to the Australian Government to provide services including: health. education. defence.
5 0
3 years ago
Read 2 more answers
Simplify the expression
yaroslaw [1]
\bf ~~~~~~~~~~~~\textit{negative exponents}&#10;\\\\&#10;a^{-n} \implies \cfrac{1}{a^n}&#10;\qquad \qquad&#10;\cfrac{1}{a^n}\implies a^{-n}&#10;\qquad \qquad &#10;a^n\implies \cfrac{1}{a^{-n}}&#10;\\\\&#10;-------------------------------\\\\&#10;5^{-2}\div 5^4\implies \cfrac{5^{-2}}{5^4}\implies \cfrac{1}{5^25^4}\implies \cfrac{1}{5^{2+4}}\implies \cfrac{1}{5^6}\implies \cfrac{1}{15625}
8 0
3 years ago
Other questions:
  • Math help with triangles please help (15 points)
    15·1 answer
  • Which of the following is not a part of the concerse theorm
    5·1 answer
  • Select the correct answer. A window is 12 feet above the ground. A ladder is placed on the ground to reach the window. If the bo
    6·1 answer
  • A pencil case for £3.99 a packet of pens for £2.49 a calculator for 4.99 she pays with a £20 note how much change will she recei
    15·2 answers
  • 2/5 + 1/10= In simplest form<br> A. 3/15<br> B. 5/10<br> C. 1/4<br> D. 1/2
    5·2 answers
  • Im struggling, someone please help, thankyou :)
    10·1 answer
  • Josh plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m mon
    11·1 answer
  • What is the exact value of sin(264°)cos(6°) + cos(264°)sin(6°)?
    15·2 answers
  • A modern sculpture in a park contains a parabolic arc that
    9·1 answer
  • If two men walk in opposite directions for 8 meters then turn left and walk six meters how far apart are they
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!