Answer:
Y = - 12.55X1 + 276.52
Step-by-step explanation:
Given the data:
Age of child :(X) : 4, 6, 10, 13, 14, 17
Time (seconds) (Y) : 230, 205, 132, 119, 108, 62
Using technology, the linear regression equation obtained using the data Given is :
Y = - 12.55X1 + 276.52
Where :
Slope = - 12.55
Intercept = 276.52
This also indicates that a negative slope is present and hence a negative relationship between age of Child and time in seconds.
The difference between mixed numbers gives:
-5¹/₆ - (-8¹/₂) = 3¹/₃
So the correct option is the third one.
<h3 /><h3>How to get the difference between mixed numbers?</h3>
Here we want to compute the difference between two mixed numbers.
First, remember that we can rewrite those as:
-5¹/₆ = (-5 - 1/6)
-8¹/₂ = (-8 - 1/2)
Now, let's go to the difference:
-5¹/₆ - (-8¹/₂)
First you can see that there are two negative signs together, so it is equivalent to a positive sign:
-5¹/₆ - (-8¹/₂) = -5¹/₆ + 8¹/₂
Now we can replace the mixed numbers to get:
-5¹/₆ + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3
And that can be rewritten to:
3 + 1/3 = 3¹/₃
Which is completely simplified.
So we conclude that the correct option is the third one, counting from the top.
If you want to learn more about mixed numbers:
brainly.com/question/1746829
#SPJ1
Hello,
ln(y)=ln(x^(ln(x))=ln(x)*ln(x)=(ln(x))²
(ln(y))'=2ln(x)*1/x
(1/y)*y'=2ln(x) / x
y'=(2 ln(x) * x^(ln(x)) ) /x
Answer:
D
Step-by-step explanation:
Replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.
$20-$14.56=$5.44
The mechanic would get $5.44 back as change.
