Answer:
mean = 52
Step-by-step explanation:
Just add all four together and divide by 4. That's the mean.
Sum (49 + 43 + 53 + 63) = 208
Mean = 208 /4 = 52
Answer:
Step-by-step explanation:
The complete question in the attached figure
we know that
When two lines are crossed by another line (transversal), a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal, are called <em><u>Alternate Interior Angles</u></em>.
When the two lines being crossed are Parallel Lines the Alternate Interior Angles are congruent
In this problem
---> by alternate interior angles
we have
therefore
9514 1404 393
Answer:
Step-by-step explanation:
y is proportional to x when it satisfies the equation ...
y = kx
where k is the constant of proportionality. The equation can be solved for k by dividing by x:
k = y/x
The value of k for the given relation is ...
k = (320 mL)/(20 s)
k = 16 mL/s . . . the constant of proportionality
Then the equation is ...
y = 16x
Answer:
f(x) = 30 • 0.989x
Step-by-step explanation:
Given the data :
10 26.8
20 23.9
30 21.3
40 19
50 16.9
60 15.1
Using technology, the exponential model equation obtained by plotting the data is :
y = 30.068(0.989)^x
Based on the general exponential formula :
y = ab^x
y = predicted value
Initial value, a = 30.068
Rate = b = 0.989
The most appropriate model equation from the options given is :
f(x) = 30 • 0.989^x
Answer:
B-The graph is incorrect. He should have shaded to the right of –8.
Step-by-step explanation:
We examine the steps Alfonso follows in graphing the inequality x > -8.
Step 1: Draw a number line, and place an open circle at –8.
A number line going from negative 13 to negative 3. An open circle is at negative 8.
The first step is correct, since we use an open circle for > or < and a closed circle for
.
Step 2: Shade to the left of –8 to represent the infinite solutions to x greater-than negative 8.
This step is incorrect since <u>values to the left are always less than.</u>
He should have shaded to the right of -8.
<u>The error made is Option B. </u>
CHECK:
x=-7
-7>-8 (TRUE)