The difference between 4 and the product 6x is 40

Jack is performing an experiment in a laboratory. The resulting rise in temperature, t(x), of the chemical under observation, ov

Scorpion4ik [409]

I'd say option D because you can just tell right off the bat that if x = 0, then f(x) = 43.75.

7 0

2 years ago

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Using the graph below, what is the value of f(6) ?

Dima020 [189]

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$f(6) = - 2$

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5 0

2 years ago

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What three numbers must be multiplied by 6

Advocard [28]

Answer:

6, 36, 60 have to be multiplied by six in order to get the answer.

Step-by-step explanation:

4 0

2 years ago

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An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found

lidiya [134]

-16t^2+400=0

16t^2=400

take square root on both sides.

$\sqrt{16t^2} =\sqrt{400}$

4t=20

t=20/4

t=5

6 0

2 years ago

If the filling equipment is functioning properly what is the probability that the volume of oil in a randomly selected barrel wi

Sophie [7]

Answer:

$P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)$

$P(Z>0.8)=1-P(Z\leq 0.8)$

$P(Z>0.8)=1-0.788=0.212$

Step-by-step explanation:

Assuming this previous info : "Trucks carry barrels of crude oil from a port in Texas to a distributer in New Mexico on long trailers. Filling equipment is used to fill the barrels with the oil. When functioning properly, the actual volume of oil loaded into each barrel by the filling equipment at the port is approximately normally distributed with a mean of 55 gallons and a standard deviation of 0.5 gallons. If the mean is greater than 55.4 gallons, the filling mechanism is overfilling."

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the amount filling of a population, and for this case we know the distribution for X is given by:

$X \sim N(55,0.5)$

Where $\mu=55$ and $\sigma=0.5$

We are interested on this probability

$P(X>55.4)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>55.4)=P(\frac{X-\mu}{\sigma}>\frac{55.4-\mu}{\sigma})=P(Z>\frac{55.4-55}{0.5})=P(Z>0.8)$

And we can find this probability using the complement rule:

$P(Z>0.8)=1-P(Z\leq 0.8)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(Z>0.8)=1-0.788=0.212$

8 0

2 years ago