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3 years ago

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Mathematics

1 answer:

solmaris [256]3 years ago

4 0

Answer:

B) Mode doesn't change.

Step-by-step explanation:

Given:

A set of data with 16 being added to the set.

The mode of a given set of data is the data that is repeated the most number of times.

Here, 19 is repeated 3 times, so the mode is 19.

Now, if a number other than that of 19 being added, doesn't affect the mode of the data set as 19 will still be 3 times and adding 16 will not increase its number in the set.

So, the correct option is B.

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3 years ago

Find the equation of the line with slope m=1/4 that contains the point (4,5).

sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

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3 years ago

Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the

fiasKO [112]

Answer:

a) NORM.S.INV(0.975)

Step-by-step explanation:

1) Some definitions

The standard normal distribution is a particular case of the normal distribution. The parameters for this distribution are: the mean is zero and the standard deviation of one. The random variable for this distribution is called Z score or Z value.

NORM.S.INV Excel function "is used to find out or to calculate the inverse normal cumulative distribution for a given probability value"

The function returns the inverse of the standard normal cumulative distribution(a z value). Since uses the normal standard distribution by default the mean is zero and the standard deviation is one.

2) Solution for the problem

Based on this definition and analyzing the question :"Which of the following functions computes a value such that 2.5% of the area under the standard normal distribution lies in the upper tail defined by this value?".

We are looking for a Z value that accumulates 0.975 or 0.975% of the area on the left and by properties since the total area below the curve of any probability distribution is 1, then the area to the right of this value would be 0.025 or 2.5%.

So for this case the correct function to use is: NORM.S.INV(0.975)

And the result after use this function is 1.96. And we can check the answer if we look the picture attached.

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4 years ago