Answer
140.29 miles
Step-by-step explanation:
477miles/ 153 gallons = <em>x</em> miles/45 gallons
criss-cross multiplication and solve for x
477 x <em> 45 = 153 x</em>
x = (45x477) / 153 = 140.29 miles
Answer:
2:40 p.m.
Step-by-step explanation:
Annike's 11-mile head start is being made up by Celia at the rate of 3 miles per hour. It will take Celia 11/3 = 3 2/3 hours to catch Annike. 3 hours and 40 minutes after 11 a.m. is 2:40 p.m..
Celia and Annike will both have completed 51 1/3 miles at 2:40 p.m..
_____
distance = speed×time
Annike: 11 mph × 4 2/3 h = 51 1/3 mi
Celia: 14 mph × 3 2/3 h = 51 1/3 mi
Answer:
11 units
Step-by-step explanation:
The height of a trapezoid is the distance between the parallel bases.
__
Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...
5 -(-6) = 5 +6 = 11
You can also find this distance by counting the grid squares between the two parallel lines.
The height of the trapezoid is 11 units.
_____
<em>Additional comment</em>
The base lengths are ...
AB = 2 -(-5) = 7
CD = 8 -(-7) = 15
The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.
Answer:
a) critical values ≈ -3.182 and 3.182 shows that there is difference in average prices
b) H0 : μd = 0
Ha : μd ≠ 0
Step-by-step explanation:
<u>a) Determine if there is any significant difference in the average prices </u>
using ∝ = 0.05
and μ( advertiser ) - μ ( competitor ) = μd
test statistic ( t ) = -3.011
df = 3
hence the critical values ( two tailed test ) = -3.182 and 3.182. this shows that there is sufficient evidence to show that there is difference in the average prices
<u>b) state the hypothesis</u>
H0 : μd = 0 ( null )
Alternate hypothesis : Ha : μd ≠ 0
Answer:Four years ago, Alex was twice as old as Jake. Four years from now, Jake will be 3/4 of Alex's age. How old is Alex? - Answer: 12.
Step-by-step explanation:
