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GrogVix [38]
2 years ago
6

What is the scale factor from figure A to figure B?

Mathematics
2 answers:
Sonja [21]2 years ago
7 0

Answer:

1/3

Step-by-step explanation:

Figure A is

-the initial one and

-is bigger

so the scale factor is less then 1 and the figure A was shrunk to figure B

If we compare the sides of the triangles we see that the green triangle was shrunk by a k= 1/3 factor into the blue triangle.

Blue triangle is 3 times smaller than green triangle.

lutik1710 [3]2 years ago
6 0
The side lengths from Figure A to Figure B grow by a factor of 1.5—each side length from A to B is 1.5 times as long. So, the scale factor from Figure A to Figure B is 1.5.
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A computer hard drive contains a circular disk with diameter 2.5 inches and spins at a rate of 7200 RPM (revolutions per minute)
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Now to solve this problem, all we have to remember is the formula for calculating the linear speed given the radial speed, that is:

v = r w

where,

v = is the linear velocity or linear speed

r = is the radius of the circular disk = (1 / 2) diameter = (1/ 2) (2.5 inches) = 1.25 inches

w = is the radial velocity (must be in rad per time) = 7200 rev per minute

 

Calculating for v:

v = 1.25 inches (7200 rev per minute) (2 π rad / 1 rev)

v = 56,548.67 inches / minute

 

Converting to miles per hour:

v = 56,548.67 inches / minute (1 mile / 63360 inches) (60 min / hour)

<span>v = 53.55 mile / hour</span>

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3 years ago
Compare two linear relationships below. All of the following are true except
Korvikt [17]

Answer:

I think it's A

Step-by-step explanation:

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3 years ago
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3 years ago
A psychology professor assigns letter grades on a test according to the following scheme. A: Top 10% scores, B: Scores below 10%
stich3 [128]

Answer:

The numerical limits for a D grade is between 57 and 64.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 71.5, \sigma = 9.5

D: Scores below the top 80% and above the bottom 7%

Between the 7th and the 100 - 80 = 20th percentile.

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X when Z has a pvalue of 0.07. So X when Z = -1.475.

Z = \frac{X - \mu}{\sigma}

-1.475 = \frac{X - 71.5}{9.5}

X - 71.5 = -1.475*9.5

X = 57.49

So 57

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

Z = \frac{X - \mu}{\sigma}

-0.84 = \frac{X - 71.5}{9.5}

X - 71.5 = -0.84*9.5

X = 63.52

So 64

The numerical limits for a D grade is between 57 and 64.

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Is the second side “WY and ZY” or the other way around?
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