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3 years ago

62.5% as two equivalent forms

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

7 0

62.5%=0.625=625/1000=5/8

mrs_skeptik [129]3 years ago

5 0

62.5/100 and 0.625 are both equivalent.

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Consider the tangent line to the curve y = 6 sin(x) at the point (π/6, 3). (a) Find a unit vector that is parallel to the tangen

mojhsa [17]

Answer:

$y=\frac{\pi }{6}+5.196(x-3)$

Step-by-step explanation:

We have given the equation y = 6 sin (x)

On differentiating both side $\frac{dy}{dx}=m=6cosx$

As it passes through the point $(\frac{\pi }{6},3)$

So $\frac{dy}{dx}=6cos\frac{\pi }{6}=5.196$

Now the unit vector is parallel to the tangent so m will be 5.196

This passes through the point $(\frac{\pi }{6},3)$

So unit vector will be $y-\frac{\pi }{6}=5.196(x-3)$

$y=\frac{\pi }{6}+5.196(x-3)$

5 0

3 years ago

What are the solutions to. x^2 - x - 20 = 0

nignag [31]

Step-by-step explanation:

x² - x - 20 = 0

x² - (5-4) x - 20 = 0 

x² - 5x + 4x -20 = 0

x ( x - 5) + 4 ( x - 5) = 0

(x - 5) (x+ 4) = 0

Either. 

x - 5 = 0

x = 5

Or, 

x + 4 = 0 

x = -4

3 0

3 years ago

Given a data set consisting of 33 unique whole number observations, its five-number summary is:

Lemur [1.5K]

Answer:

given a data set of 33 unique whole number observation,its five number sumary is [16, 29, 40 ,54, 67]

Step-by-step explanation:

The p-th percentile in an ordered (from low to high) data set is a value such that p% of the data is less than that value. The quartiles of a data set are the 25th, 50th and 75th percentiles. (The 25th percentile is usually called the first quartile, the 50th percentile is usually called the median, and the 75th percentile is usually called the third quartile.)

The formula for finding the location (or position) of the (approximate) pth percentile in an ordered (from low to high) data set is

L p=(n+1).p/100

For example, in the data set [2,4,6,8,10,12,14,16,18]

the (approximate) 60th percentile is located at position

L 60=(9+1).60/100=6

that is, the sixth data point (the value 12) is at the (approximate) 60th percentile.(Actually, only 55.6% of the data is below a 12.)

3 0

3 years ago

Plzz help asap.......

SSSSS [86.1K]

Answer:

29.78 feet

Step-by-step explanation:

4 0

3 years ago

Find the equation of the line.

Stells [14]

To find the equation of the line, we need to figure out the slope and y-intercept.

To find the y-intercept, look at the number where the line intersects the y-axis. The number is 5. The equation so far is y = ?x + 5.

We still didn't figure out the slope yet. To figure out the slope, pick two points. Use the rise over run method. It is in the image below. The line is going up to the left, so the slope will be negative. Now we know the slope is -1/3. The equation now that we figured out the slope is y = -1/3x + 5.

I hope this helps you! Let me know if I got something wrong.

4 0

2 years ago