Answer:
BC = 33.9
Step-by-step explanation:
here,
AB = 17, BC = ?, AC = 38
By Pythagoras Theorem
AB² + BC² = AC²
BC² = AC² - AB²
BC² = 38² - 17²
BC² = 1444 - 289
BC² = 1155
BC = √1155
BC = 33.9
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
Answer:
Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.
Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.
Step-by-step explanation:
A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.
Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.
A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.
Use a <em>z</em>-test for the test statistic.
The hypothesis test is:
<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.
<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.
Divide $14,000 by $9.99 = 1401 board games
Since we know $14,00 is how much has been spent on the board game in total, the price to make each board ($1.90) game isn't necessarily relevant.
So you take the profit made from each game and divide that from how much was spent for the board game.
Answer:
80
Step-by-step explanation:
