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Fynjy0 [20]
1 year ago
5

​sixty-two percent of pet owners say they consider their pet to be their best friend. you randomly select 12 pet owners and ask

them if they consider their pet to be their best friend. find the probability that the number who say their pet is their best friend is​ (a) exactly nine, ​(b) at least eight​, and​ (c) at most three.
Mathematics
1 answer:
inna [77]1 year ago
7 0
Is this like 3 separate questions, or is it like
one all together with one answer?


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On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant
strojnjashka [21]

Answer:

answer is g (x) = 2(3)-x I guess not really sure aguh work it again

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Rewrite in simplest radical form! Show your work.
vazorg [7]

x^{\frac{1}{\frac{-3}{6} }}

First, let's deal with the fraction in the denominator of the exponent. Multiply the top and bottom of the exponent by 6.

x^{\frac{6}{-3} }

Now that the fraction in the denominator is taken care of, we can reduce the denominator.

x^{-2}. Some professors might accept this as simplest form, but others might ask you to get rid of the negative.

x^{-2} = \frac{1}{x^{2} }

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2 years ago
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Two functions are defined as shown. f(x) =-1/2 x – 2 g(x) = –1 Which graph shows the input value for which f(x) = g(x)?
Natalka [10]

Answer:

See attachment.

Step-by-step explanation:

The given functions are:

f(x) =  -  \frac{1}{2}x - 2

and g(x)=-1

To find the x-value of the point of intersection of the two functions, we equate the two functions and solve for x.

-  \frac{1}{2}x - 2 = -1

x + 4 = 2

x = 2 - 4 =  - 2

The graph that shows the input value for which f(x)=g(x) is the graph which shows the point of intersection of f(x) and g(x) to be at x=-2.

4 0
1 year ago
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In a function, y varies inversely with x. The constant of variation is 4. Which table could represent the function?
Nimfa-mama [501]
The equation will be y=4/x. u can make the table of variables by inserting the values of x in the equation. for suppose here, if x=1 then y=4 , x=2 then y=2 and so on.
5 0
1 year ago
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Find the correlation coefficient of the line of best fit for the points (-3,-40), (1,12), (5,72), (7,137). Explain how you guy y
vodka [1.7K]

Answer:

r = 0.9825; good correlation.

Step-by-step explanation:

One formula for the correlation coefficient is  

r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{n\left [\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}

The calculation is not difficult, but it is tedious.

1. Calculate the intermediate numbers

We can display them in a table.

      <u> </u><u>x</u>    <u>  y </u>   <u>  xy </u>  <u> x² </u>    <u>   y²   </u>

      -3   -40    120     9     1600

       1      12      12      1        144

       5    72   360   25      5184

     <u>  7</u>   <u>137</u>  <u> 959</u>   <u>49</u>    <u>18769 </u>

Σ = 10   181  1451   84   25697

2. Calculate the correlation coefficient

r = \dfrac{n\sum{xy} - \sum{x} \sum{y}}{\sqrt{\left [n\sum{x}^{2}-\left (\sum{x}\right )^{2}\right]\left [n\sum{y}^{2}-\left (\sum{y}\right )^{2}\right]}}\\\\= \dfrac{4\times 1451 - 10\times 181}{\sqrt{[4\times 84 - 10^{2}][4\times25697 - 181^{2}]}}\\\\= \dfrac{5804 - 1810}{\sqrt{[336 - 100][102788 - 32761]}}\\\\= \dfrac{3994}{\sqrt{236\times70027}}\\\\= \dfrac{3994}{\sqrt{16526372}}\\\\= \dfrac{3994}{4065}\\\\= \mathbf{0.9825}

The closer the value of r is to +1 or -1, the better the correlation is. The values of x and y are highly correlated.

3 0
1 year ago
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