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2 years ago

X and y interpects of f(x)=x^2-49

1 answer:

5 0

Y intercept is when x = 0
X intercept is when y = 0

Y intercept is 0^2 - 49 = ?
-49

X intercept you would have to factor. You’d get (x-7)(x+7) meaning the graph touches o at the x values 7 and -7

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Cuanto es menos 7 mas 2

irina [24]

Answer:

the answer is -5. you could really just use a calculator this is pretty basic math.

Step-by-step explanation:

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2 years ago

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Answer! The amount of time it takes to complete a reading assignment might be a function of which of the folowing ?

sladkih [1.3K]

Amount is a function of what means
the amount is dependent on what variable

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looking at the options, A is clearly the answer

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−7(−2x+6) Select one: −9x−42 14x+6 14x−42 −14x−42

saveliy_v [14]

Answer:

14x-2 is answer

Step-by-step explanation:

may be this is helpful!

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2 years ago

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Fifteen more than a number is written as...?

frozen [14]

Answer:

x + 15

Step-by-step explanation:

Since I don't know what this number is, I'm going to use the variable x to substitute for the value of the unknown number.

So it would just be x + 15 because addition is the operation of adding and the key words are usually more. Since one of the numbers is unknown, we can't get an answer like "100" because x is undefined.

Say x=100, then the number would be written as 115 in it's simplest form but you could also write it as 100+15. So I'm just using substitution.

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2 years ago

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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