Answer:
=2 =−2
Step-by-step explanation:
<em>Common factor</em>
16 2 − 64 = 0
16(2 − 4)= 0
Use the sum-product pattern
16(2−4)=0
16(2 + 2 − 2 − 4) = 0
Common factor from the two pairs
16(( 2 + 2) + (−2 − 4)) = 0
16 ( ( + 2 ) − 2 ( + 2 ) ) = 0
Rewrite in factored form
16 ( ( + 2 ) − 2 ( + 2 ) ) = 0
1 6 ( − 2 ) ( + 2 ) = 0
Create separate equations
16 ( − 2 ) ( + 2 ) = 0
− 2 = 0
+ 2 = 0
Solve / Rearrange and isolate the variable to find each solution
= − 2
= 2
D cause Times x by y and your answer should be
Just divide "1849 parts" by "4 hours:" the average rate is 1849/4 parts/hour,
or 1849 parts/ 4 hours, or 462.25 parts/hour, or (rounded off) 462 parts/hour.
Answer:
m∡GHI = 21°
Step-by-step explanation:
Since the lines are intersecting, GHI and JHK are opposite angles, so they are the same measure.
That means you can set them equal to each other
x + 7 = 3x - 21
x = 14
Now plug x into GHI
14 + 7 = 21
m∡GHI = 21°
Answer:
The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.
Step-by-step explanation:
The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:
<u>Revenue</u> <u>Frequency</u>
Under $2,000 18
$2,000 - $4,000 10
$4,000 - $6,000 26
$6,000 - $8,000 14
$8,000 - $10,000 8
Over $10,000 4
Total 80
The probability of an event <em>E</em> is defined as:

Here,
n (E) = favorable outcome
N = total outcomes
The favorable outcomes of the event <em>X</em> : "more than $6,000 in revenue" is defined as:
n (X) = 14 + 8 + 4 = 26
Total number of outcomes is, <em>N</em> = 80.
Compute the probability of the event <em>X</em> is:

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.