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3 years ago

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Mathematics

1 answer:

deff fn [24]3 years ago

8 0

Answer:

36 feet

Step-by-step explanation:

The diameter is 120 ft, which means the radius is 60 ft.

240° counterclockwise from the bottom of the circle is a standard angle of 150°.

The vertical position is therefore:

y = 6 + 60 sin 150°

y = 36

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3 years ago

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−15(x−4)=−2 the 15 is one fifth pls help

PIT_PIT [208]

X=-6
1(x-4) over 5 =-2
Multiply all terms by the denominator to get simplified x-4=-10
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3 years ago

The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff

tekilochka [14]

Answer:

Step-by-step explanation:

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3 years ago

Which function is equivalent to f(x)=1/4(x-2)^2+3?

QveST [7]

Answer: f(6) = (6)2 + 1 = 36 + 1 = 37

If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:

f(x) = x2 + 1

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Step-by-step explanation:

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3 years ago

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters

PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

Let Z = $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1) where, Xbar = mean contents of six randomly

selected bottles

n = sample size i.e. 6

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

P(Xbar < 295) = P( $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{295 - 298}{\frac{3}{\sqrt{6} } }$ ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

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4 years ago