Answer:
x = -0.3
Step-by-step explanation:
You can substitute y in 2x – 4y = 3, to solve for x.
How to solve for x:
2x - 4(3x) = 3 (Simplify)
2x - 12x = 3 (Simplify)
-10x = 3 (Divide by -10)
x = -0.3
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
_____
<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
Since there is no decimal point, the answer is 345276.
540/x=60/100
cross multiply
60x=54,000 then
60x/60=54,000/60
x=900
so 900 people preferred hamburger
Answer:
c. 0.1391 < Ï < 0.2311
Step-by-step explanation:
The formula for Confidence Interval is given as:
Mean ± z × Standard deviation/√n
Z score for 98% confidence interval = 2.326
Mean = Significance level = 100% - 98%
= 2% = 0.02
Standard deviation = S=0.0165
n= 37
Hence,
Confidence Interval =
0.02 ± 2.326 × 0.0165/√37
0.02 ± 0.0063094687
Confidence Interval
0.02 - 0.0063094687
= 0.1391
0.02 ± 0.0063094687
= 0.2311
Hence, the Confidence Interval = (0.1391, 0.2311)
= c. 0.1391 < Ï < 0.2311
