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uysha [10]
2 years ago
8

Describe the type of correlation each scatter plot shows. Draw a trend line that

Mathematics
1 answer:
ruslelena [56]2 years ago
3 0
The correlation is positive, negative and no correlation.
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Find the x-intercepts of the parabola with vertex (-5,80) and y-intercept (0,-45). Write your answer in this form (x of 1 , y of
Ivan
A parabola is a quadratic function, and a quadratic can be expressed in vertex form, which is:

y=a(x-h)^2+k, where (h,k) is the vertex (absolute maximum or minimum point of the quadratic)

In this case we are given that (h,k) is (-5,80) so we have so far:

y=a(x--5)^2+80

y=a(x+5)^2+80, we are also told that it passes through the point (0,-45) so:

-45=a(0+5)^2+80

-45=25a+80  subtract 80 from both sides

-125=25a  divide both sides by 25

-5=a, so now we know the complete vertex form is:

y=-5(x+5)^2+80

The x-intercepts occur when y=0 so:

0=-5(x+5)^2+80  add 5(x+5)^2 to both sides

5(x+5)^2=80  divide both sides by 5

(x+5)^2=16  take the square root of both sides

x+5=±√16  which is

x+5=±4  subtract 5 from both sides

x=-5±4 so the x-intercepts are:

x=-1 and -9


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3 years ago
Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
elena55 [62]

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2}  \leq \ y  \leq \sqrt{4-x^2}\  ) \ \}\\

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2 years ago
Plz answer me will mark as brainliest read full question
Musya8 [376]

Answer:83 -->17-->103-->43-->7-->1

Have a good day

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A set of data has a sample mean of 65.4 and a standard deviation of 1.2. If the sample size is 45. what is the 99% confidence in
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67.55 is the correct answe bec I add
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No there is 53 Friday's in a year
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