F(x) = 5x – 12 What is f (-4)please help im on a timer!!

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

4 0

Answer:

f(-4)=-32

Step-by-step explanation:

Plug in -4 for x

f(-4)=5(-4)-12

Combine like terms

f(-4)=-20-12

f(-4)=-32

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A diver was exploring the ocean. The diver dove 32 ft. below sea level. Then dove another 45 ft. At what depth was the diver?

frez [133]

Step-by-step explanation:

add 32 ans 45 together thats your answer

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4 years ago

The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There

Oksi-84 [34.3K]

Answer:

$z=1.64$

And if we solve for a we got;

$10 +1.64*1=11.64$

So the value of height that separates the bottom 95% of data from the top 5% is 11.64

Step-by-step explanation:

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 certain lifetime of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,1)$

Where $\mu=10$ and $\sigma=1$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.05$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

$P(X$