4 years ago

Write the equation in vertext form Vertex: (3,6) ; y-intercept: 2

1 answer:

8 0

Y= a(x-3)^2+6
2= a(0-3)^2+6
2=a(-3)^2+6
2=a(9)+6
2-6=9a
-4=9a
-4/9=a

Therefore the equation in vertex form is
y = -4/9 (x-3)^2+6

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A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan

Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

$Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15$

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

= 1-P(Z>1.15)

= 1-( 0.5+A(1.15)

= 0.5 - A(1.15)

= 0.5 - 0.3749

= 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

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3 years ago

Over 4 days the temperature was 4,6,-12,and -5 degrees.What was the average temperature?

Deffense [45]

The average temperature is -7.

Hope this helps

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3 years ago

What is an equation of the line that passes through the points (-1, 6) and (-1, -5)?

kobusy [5.1K]

Answer:

x = -1

Step-by-step explanation:

(-1 , 6) ; (-1 , -5)

There is no change in x-coordinate values.

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3 years ago

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to

Alex Ar [27]

Answer:

About 376.99 cubic inches

Step-by-step explanation:

Cylinder has a volume of:

$V=\pi r^2h$

Where

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h is the height

We need to find the volume of the cylinder, then multiply that answer by 3/4 to get the solution to this problem. First, the full volume of the cylinder.

Given

r = 4

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So,

$V=\pi r^2h\\V=\pi (4)^2 (10)\\V=502.65$

Now, we multiply by 3/4:

$502.65*\frac{3}{4}=376.99$

Mary should be vase to 376.99 cubic inches

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3 years ago

James Wrote the number 8,980,000 in scientific notation which number did he write

Colt1911 [192]

8,980,000 = 8.98 x 10⁶

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3 years ago