To graph ty function simply make a table of values, where you choose any value for x and substitute that value in the function.
Then take the absolute value of the expression in the square bracket.
It is always positive, the absolute value of -6 is 6 etc.
Then graph the resulting points.
Another way to do it is simply draw the graph of y = |x| then move it 2 spaces to the right and 4 spaces down, I believe.
Answer:
13 units.
Step-by-step explanation:
We can find distance between points by using the following formula:
The change in x is -5, and change in y is 12. Let's apply this to the formula.
. Evaluate this, and we get 13.
Hope this helped!
Answer:
Answer:
Since the calculated value of t= -1.340 does not fall in the critical region , so we accept H0 and may conclude that the data do not provide sufficient evidence to indicate hat there is difference in mean carbohydrate content between "meals with potatoes" and "meals with no potatoes".
Step-by-step explanation:
Potatoes : No Potatoes : Difference Difference (d)²
(Potatoes- No Potatoes)
29 41 -12 144
25 41 -16 256
17 37 -20 400
36 29 -7 49
41 30 11 121
25 38 -13 169
32 39 -7 49
29 10 19 361
38 29 9 81
34 55 -21 441
24 29 -5 25
27 27 0 0
<u>29 31 -2 4 </u>
<u> ∑ -64 2100 </u>
- We state our null and alternative hypotheses as
H0 : μd= 0 and Ha: μd≠0
2. The significance level alpha is set at α = 0.01
3. The test statistic under H0 is
t= d`/sd/√n
which has t distribution with n-1 degrees of freedom.
4. The critical region is t > t (0.005,12) = 3.055
5. Computations
d`= ∑d/n = -64/ 13= -4.923
sd²= ∑(di-d`)²/ n-1 = 1/n01 [ ∑di² - (∑di)²/n]
= 1/12 [2100- ( -4.923)] = 175.410
sd= √175.410 = 13.244
t = d`/sd/√n= - 4.923/13.244/√13
t= - 4.923/3.67344
t= -1.340
6. Conclusion :
Since the calculated value of t= -1.340 does not fall in the critical region , so we accept H0 and may conclude that the data do not provide sufficient evidence to indicate hat there is difference in mean carbohydrate content between "meals with potatoes" and "meals with no potatoes".
Answer: a) 100
<u>Step-by-step explanation:</u>
Volume (V) of the prism = Length(L) x width(w) x height(h)
V = 7 x 7 x 6.5
= 318.5 cm³
Next, what is the volume of an M & M? The info isn't given so according to the internet it is 0.636 cm³
The nearest answer to this is: (a) 100
because the upper limit cannot be 10,000
<u>Answer</u>
∛729
<u>Explanation</u>
The volume of an object is the amount of space that the object can occupy.
The general formula for getting the volume of a regular object is:
Volume = Base area × Height
For a cube, all sides are equal.
∴ Volume of a cube = length × length × length
= (length)³
This means given the volume of a cube we can get the length of one side as shown.
Volume = (length)³
length = ∛volume.
∴ Volume = 729 in³
Length = ∛729 inches. This will give you the number of cubes 1 inches can fit along one side.
