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Oduvanchick [21]
3 years ago
7

Which of the following describes the translation of the graph of y = x2 to obtain the graph of y = -x2 - 3?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

reflections across the x axis and a shift down 3 units

Step-by-step explanation:

y = x^2

The negative sign means  it is a reflection across the x axis y = −f(x)

y = -x^2

The subtraction of 3 means we are shifting down 3 units

y = -x^2 -3

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But 32=2⁵

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And the denominator is a power of 2.

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What must be true of the side lengths in order to build a triangle with only two angles the same size?
ale4655 [162]

Answer:

A triangle with two angles of the same size is an isosceles triangle. So two of its sides are going to have the same measure and the third different. The length of the sides will depend on the height of the measure of the given angles.

Step-by-step explanation:

Isosceles triangles can be classified into an isosceles right triangle, isosceles obtuse, isosceles acute depending on the measurements of its internal angles.

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3 years ago
Suppose each of the following data sets is a simple random sample from some population. For each dataset, make a normal QQ plot.
adell [148]

Answer:

a) For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

b) For this case the data is skewed to the left and we can't assume that we have the normality assumption.

c) This last case the histogram is not symmetrical and the data seems to be skewed.

Step-by-step explanation:

For this case we have the following data:

(a)data = c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

We can use the following R code to get the histogram

> x1<-c(7,13.2,8.1,8.2,6,9.5,9.4,8.7,9.8,10.9,8.4,7.4,8.4,10,9.7,8.6,12.4,10.7,11,9.4)

> hist(x1,main="Histogram a)")

The result is on the first figure attached.

For this case the histogram is not too skewed and we can say that is approximately symmetrical so then we can conclude that this dataset is similar to a normal distribution

(b)data = c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> x2<- c(2.5,1.8,2.6,-1.9,1.6,2.6,1.4,0.9,1.2,2.3,-1.5,1.5,2.5,2.9,-0.1)

> hist(x2,main="Histogram b)")

The result is on the first figure attached.

For this case the data is skewed to the left and we can't assume that we have the normality assumption.

(c)data = c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> x3<-c(3.3,1.7,3.3,3.3,2.4,0.5,1.1,1.7,12,14.4,12.8,11.2,10.9,11.7,11.7,11.6)

> hist(x3,main="Histogram c)")

The result is on the first figure attached.

This last case the histogram is not symmetrical and the data seems to be skewed.

7 0
3 years ago
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