Answer:
Step-by-step explanation:
3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0
5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ <u>5x + 2y</u> = <u>22 </u>
11x = 22
x = 2
3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y
Answer: x=2, y=6
Answer:
Step-by-step explanation:
Assuming that all of the 255 sold seats were filled, then
[tex]\frac{sold}{total} *100\\[percent filled]
(225/260)*100=86.53%
100%-86.53%=13.4%
13.4% of seats are empty!
Answer: $244.83
Step-by-step explanation:
First find the original amount spent on dvds:
$12.95 * 4 = $51.80
Then, the sales tax (6.5% is converted to decimal form by dividing by 100):
$51.80 * 0.065 = $3.367
Add the sales tax to the original amount to get the total amount spent:
$51.80 + $3.367 = $55.167
Round to the nearest hundredth:
$55.167 -> $55.17
Subtract the total amount from the money received for his birthday:
$300 - $55.17 = $244.83
Answer:
$12.43
Step-by-step explanation:
Given :
Mean = $8.52
Standard deviation, = $2.38
Stock price which falls beyond 0.05 of the distribution is at the 95th percentile
The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)
We obtain the value of x, with z = 1.645
Using the Zscore relation :
Zscore = (score - mean) / standard deviation
1.645 = (score - 8.52) / 2.38
Cross multiply :
1.645 * 2.38 = score - 8.52
3.9151 = score - 8.52
Score = 8.52 + 3.9151
Score = $12.4351
Stock price beyond 0.05 is $12.43
