Answer:
<h2>(0, -2)</h2>
Step-by-step explanation:
A(x, y)
rotated 180°: A'(-x, -y)
translated n units:
left (x - n, y)
right (x + n, y)
up (x, y + n)
down (x, y - n)
We have R(-3, 2)
rotated 180°: (-(-3), -2) = (3, -2)
translated 3 units left: (3 - 3, -2) = (0, -2)
Answer:
C. There isn't much evidence to support a conclusion that the presence of carpet is associated with an increase or decrease in the mean bacterial concentration of air.
Step-by-step explanation:
A. There are outliers in these data, so we can't rely on the two-sample t test.
There are no outliers, as the seven rooms for both sample have similar size and function.
B. This test is unreliable because the populations we're sampling from are heavily skewed.
We don't know if the populations are heavily skewed, but this effect should be appeased by the sampling.
C. There isn't much evidence to support a conclusion that the presence of carpet is associated with an increase or decrease in the mean bacterial concentration of air.
Correct conclusion, as the P-value is surely greater than the significance level (usually 0.10 at most).
D. There is fairly strong evidence to support a conclusion that the presence of carpet is associated with an increase or decrease in the mean bacterial concentration of air.
There is no evidence as the P-value is greater than the significance level.
Full question:
Linear Functions: Taking a Taxi
You take a trip to downtown Boston to walk the Freedom Trail with your family. After you walk through the Bunker Hill Memorial, your family decides to take a taxi to a restaurant for dinner. After 1 mile, the meter on the taxi says $4.75. It will cost $8.25 to go 3 miles. The cost varies linearly with the distance that you traveled. If you have $11 in your pocket, will you be able to take the cab 5 miles?
Answer:
Cannot go 5 miles having just $11
Step-by-step explanation:
Since the cost varies linearly with the distance that you traveled, to model the linear function for this problem we know that
1 mile = $4.75
And so to go x miles, we require $4.75x
Equation can therefore be modelled thus :
y=4.5x
Where y = total cost of transport in dollars
x= cost in dollars per mile
To find out if we can go 5 miles just having $11, we plug in 5 miles for x into the equation to find total cost of transport going 5 miles
y=4.5*5
y= $22.5
Therefore we cannot go 5 miles just having $11
Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
4. A<span>=<span><span><span><span>2π</span>r</span>h</span>+<span><span>2π</span><span>r2</span></span></span></span><span>=<span><span><span><span>2·π</span>·4</span>·7</span>+<span><span>2·π</span>·<span>42</span></span></span></span><span>≈<span>276.46015 = 276
5. </span></span>A<span>=<span><span><span><span>2π</span>r</span>h</span>+<span><span>2π</span><span>r2</span></span></span></span><span>=<span><span><span><span>2·π</span>·10</span>·9</span>+<span><span>2·π</span>·<span>102</span></span></span></span><span>≈<span>1193.80521 = 1193.81</span></span>
