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2 years ago

9

In the table, each value of y varies directly with the corresponding value of x. Which equation represents the values in the tab

le?

1 answer:

Alex777 [14]2 years ago

6 0

Your equation should be
y=2.2x

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5. What is the equation of the tangent line to the circle x^2+y^2=1 through the point (6,0)?

notka56 [123]

Answer:

There is no tangent line of the given circle at (6, 0).

Step-by-step explanation:

Given equation of the circle,

$x^2 + y^2 = 1$

∵ equation of a circle is $(x-h)^2 +(y-k)^2 = r^2$ ,

Where, (h, k) is the center of the circle and r is the radius,

By comparing,

Center of the given circle = (0, 0),

Radius of the circle = 1 unit

Now, check whether point (6, 0) lie on the circle,

if x = 6, $6^2 + y^2 = 1$

$36 + y^2 = 1$

$y^2 = 1- 36$

$y= i\sqrt{35}\neq 0$

i.e., (6, 0) does not lie on the circle,

Hence, there is no tangent line of the given circle at (6, 0).

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2 years ago

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RSB [31]

It’s a cool shape. Reminds me a flash.

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2 years ago

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The ratio of adults to children at a park is 1/3. The total number of people at the park is 36. How many children are at the par

Elodia [21]

24 children 12 adults

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2 years ago

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0.10x how much is the bill for a person who uses 600 kWh in a month

Yuliya22 [10]

The total bill paid for a person who uses 600 kWh in a month is $60.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that the utility company charges $0.10 per kWh, hence:

Total charge in a month = 0.10 * 600 = $60

The total bill paid for a person who uses 600 kWh in a month is $60.

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1 year ago

Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with

FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

a)

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

b)

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

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2 years ago