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JulsSmile [24]
3 years ago
7

An anatomy model of an adult human is 7 inches tall. Most adult humans are between 5 feet and 6 feet tall. What is the approxima

te scale factor of the model?
Mathematics
2 answers:
anyanavicka [17]3 years ago
3 0

Answer:

9.42857142857 inches = 1 inch

Step-by-step explanation:

12 inches in a foot

12 × 5.5 = 66

66 / 7 = 9.42857142857

vlada-n [284]3 years ago
3 0

Answer:

0.106 ( approx )

Step-by-step explanation:

Given,

The height of human is between 5 feet and 6 feet,

So, the average height of a human = \frac{5+6}{2}

=\frac{11}{2}

= 5.5 feet,

∵ 1 feet = 12 inches,

Thus, the average height of a human = 12 × 5.5 = 66 inches

Now,

\text{Scale factor}=\frac{\text{Scaled measure}}{\text{Actual measure}}

We have,

Scaled measure of the height of a human = 7 inches,

Thus,

\text{Scale factor}=\frac{7}{66}\approx 0.106

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the
Anni [7]

Answer:

8.68,13.16

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92

Standard deviation of the sample is,

\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6

The confidence interval will be,

=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}

=10.92 \pm 2.24

=8.68,13.16

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0
3 years ago
A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist
AveGali [126]

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

7 0
3 years ago
Find the measure of angle A
AVprozaik [17]

Answer: The answer is 35 degrees

5 0
3 years ago
Why is the derivative equals to 0?
Lisa [10]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• tan²x + 1 = sec²x

⇒ tan²x - sec²x = - 1

Thus the derivative reduces to

\frac{d}{dx} ( - 1 ) = 0

7 0
4 years ago
Em 1 Graph the system of equations. { x−y=6 ,4x+y=4
muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. x-y=6 ,4x+y=4

First we will find value of x and y

Let:

x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)

Add eq(1) and eq(2)

x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2

Putting value of x in eq(1) and finding y

x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

8 0
4 years ago
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