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Blababa [14]
2 years ago
10

29. (09.04 MC)

Mathematics
1 answer:
lara [203]2 years ago
7 0

Answer:

The center is located at (-1, -2), and the radius is 5.

Step-by-step explanation:

The general equation of a circle is given as

(x - a)^2 + (y - b)^2 = r^2

where

a and b are the centre of the circle and r is the radius

Given the equation

x2 + 2x + y2 + 4y = 20

add 1 ad 4 to both sides

x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1

factorise

(x +1)^2 + (y+2)^2 = 5^2

comparing with the general equation

a = -1, b = -2, r = 5 (all measured in units)

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A random variable r is normally distributed with a mean of 7 and a standard deviation of 1.5. Find the value of w so that P (8.8
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Answer:

The answer is explained below

Step-by-step explanation:

Given that:

mean (μ) = 7 and standard deviation (σ) = 1.5.

The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:

z=\frac{x-\mu}{\sigma}, where\ x\ is\ the \ raw\ score

To find the Probability that x < 8.8, we first find the z score using:

z = \frac{x-\mu}{\sigma}=\frac{8.8-7}{1.5}=1.2

From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%

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3 years ago
Find the value of x in 2x+20=3x-8
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Answer:

X=28

Step-by-step explanation:

3x-8=2x+20. So x=28

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Describe the graph of a function g by observing the graph of the base function f ? ​
never [62]

Answer:

Choice 3 is your answer

Step-by-step explanation:

The format of the function when you move it side to side or up and down is

f(x) = (x - h) + k,

where h is the side to side movement and k is up or down.  The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.

The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h).  If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3).  Our function has moved up 5 units, so the final translation is

g(x) = f(x + 3) + 5, choice 3 from the top.

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What is 66 1/2 converted to in feet? HURRY PLEASE
astraxan [27]

Step-by-step explanation:

66 1/2= 5ft. and 6 1/2in.

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Round to the nearest tenth wa hit is the perimeter of the triangle
klio [65]

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

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