Answer:
Result is statistically significant.
Step-by-step explanation:
Given that :
Chisquare statistic, χ² = 67.81
Critical value for the distribution, χ²critical = 3.84
α = 0.05
The Decison region :
If χ² statistic > Critical value ; Reject H0 ; this. Eans that result is statistically significant.
Therefore, since, 67.81 > 3.84 ; This means that the result is statistically significant at 0.05
Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier
parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore
has a slope of -2/3.
so we're really looking for a line whose slope is -2/3 and runs through 9,4.
![\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{4})~\hspace{10em}slope = m\implies -\cfrac{2}{3}\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{2}{3}(x-9)\\\\\\y-4=-\cfrac{2}{3}x+6\implies y=-\cfrac{2}{3}x+10](https://tex.z-dn.net/?f=%20%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B9%7D~%2C~%5Cstackrel%7By_1%7D%7B4%7D%29~%5Chspace%7B10em%7Dslope%20%3D%20%20m%5Cimplies%20-%5Ccfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5C%5C%5Cstackrel%7B%5Ctextit%7Bpoint-slope%20form%7D%7D%7By-%20y_1%3D%20m%28x-%20x_1%29%7D%5Cimplies%20y-4%3D-%5Ccfrac%7B2%7D%7B3%7D%28x-9%29%5C%5C%5C%5C%5C%5Cy-4%3D-%5Ccfrac%7B2%7D%7B3%7Dx%2B6%5Cimplies%20y%3D-%5Ccfrac%7B2%7D%7B3%7Dx%2B10%20)
Answer:
f(3) = -1
Step-by-step explanation:
given f(x) = -x + 2
to find f(3), we have to replace x with 3
f(3) = -3 + 2
f(3) = -1
The area formula for rectangles is lxw. To solve, I would divide the figure up into 3 rectangles- top,middle and bottom, then find the areas and add them together.
Top: 4x13=52 cm^2
Middle: 5x8=40 cm^2
Bottom: 21x10=210 cm^2
(5 is the width of the middle piece. You get it from subtracting. 21-8-8=5. 13 is the width of the top piece. 5+8=13)
52+40+210
=302 cm^2
So your answer is 302 square centimetres.