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Stels [109]
2 years ago
5

Shortest distance to the origin y=1/2x^2 -4

Mathematics
1 answer:
IrinaK [193]2 years ago
6 0
X=0 y=-2
y=0 x=4

The shortest distance has to be the perp bisector from origin to the midpoint of the line.
midpoint =(2,-1)  and distance from the (0,0) origin is sqrt(5) hence, sqrt(5).

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What is associative property for 5+(3+4)=
AysviL [449]

Answer:

associative property for Addition

The answer of this question is Addition

Please brainliest this answer

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3 0
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 .

7 0
3 years ago
Can someone answer this questions please answer it correctly if it’s correct I will mark you brainliest
muminat

Answer:

c

Step-by-step explanation:

0.1=1/10

1/10 is just the fraction form of 0.1

3 0
3 years ago
Read 2 more answers
What is 9 29/40 as a decimal
earnstyle [38]

Answer:

The answer is 9.725

Step-by-step explanation:

We have been given the mixed fraction 9\frac{29}{40}

First we will concert this to improper fraction.

\frac{40(9)+29}{40}

= \frac{389}{40}

Now we will divide this using long division or calculator and get the answer  9.725.

5 0
2 years ago
Read 2 more answers
For the following exercises, evaluate the expressions, given functions f, g, and h:
sertanlavr [38]

Answer:

- 16

Step-by-step explanation:

Evaluate f(2) by substituting x = 2 into f(x) , that is

f(2) = 3(2) - 3 = 6 - 3 = 3

Evaluate g(- 1) by substituting x = - 1 into g(x) , that is

g(- 1) = 8 - (- 1)² = 8 - 1 = 7

Thus

4f(2) - 4g(- 1)

= 4(3) - 4(7)

= 12 - 28

= - 16

7 0
3 years ago
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