Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
Its a right angled triangle. You have C and have B all you need to find is A. usually for a question like this you would use the Pythagorean theorem which is A2+B2=C2 but since we already have c we will use C2-B2=A2
Now we fill in the values. (21)2-(9)2=A2
441-81=360^2 so now with the 360^2 we have to squareroot it so the square root of 360 is 18.973f
Answer:
C. (n₁ + n₂ - 2) degrees of freedom
Step-by-step explanation:
The t-test for difference between two mean when variance are equal is:
where ,
= Mean of Sample 1
= Mean of Sample 2
s = standard deviation
n_1 = size of Sample 1
n_2 = size of Sample 2
and t is Student's t-test with (n₁ + n₂ - 2) degrees of freedom.
$3.90
You have to take $1.16 and multiply it by 2 so that you get the price for 4 pounds then divide 1.16 by 2. Then you have to add together the totals and you'll get the price for 5 pounds.
Or
You could take $1.16 divide it by 2 to get the unit price then multiply (or add it together 5 times) it by 5 to get a total of $3.90
The product of the given fractions, -2/9(-5/3), is: 10/27.
<h3>How to Find the Product of Two Fractions?</h3>
Given the fractions, -2/9(-5/3), recall that minus multiplied by minus equals plus.
So therefore, the product of the two fractions would be a positive number. Thus:
-2/9(-5/3) = (-2 × -5)/(9 × 3)
-2/9(-5/3) = 10/27
Therefore, the product is: 10/27.
Learn more about product of fractions on:
brainly.com/question/82108
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