Answer:
x = 45
Step-by-step explanation:
x + 45 + 2x = 180
3x + 45 = 180
3x = 135
x = 45
Answer:
It took 2 hours by plane
Step-by-step explanation:
let bus is represented by x and plane is represented by y
the total distance of bus and plane will be represented by equation:
40 x + 600 y = 1320 (1)
the total time taken by bus and plane will be represented by:
x + y = 5 (2)
solving equations (1) and (2) simultaneously:
Multiply by 40 on both sides in eq (2) and then subtract (1) and (2)
40 x + 600 y = 1320
40 x + 40 y = 200
_______________
560 y = 1120
y = 1120/ 56
y= 2
since plane is represented by y so, the time they spent travelling by plane is 2 hours.
Answer:
2 * 0.75 + 0.50 + 4 * 1.25
$7.00
Step-by-step explanation:
Expression
2 * 0.75 + 0.50 + 4 * 1.25
Evaluate
1.50 + 0.50 + 5.00
$7.00
Answer:
Based on the 95% confidence interval for the difference in population proportion, there is convincing statistical evidence that he is correct
Step-by-step explanation:
The proportion from the sample of people from his party that support the law = 70%
The number the members of the politicians political party that support the law = 550 people
The proportion from the sample of people from the other party that support the law = 65%
The number the members of the politicians political party that support the law = 420 people
The confidence level of the test = 95%
The given confidence interval for the difference in proportion, C.I. = (-0.010, 0.110)
Given that the 95% confidence interval for the difference in population proportion ranges from -0.010, to 0.110, it is 95% certain that 0 is among the likely difference in proportion between the two populations and therefore, there is sufficient statistical evidence to suggest that there is no difference in the proportion of the members of either political that support the proposed new traffic law.
Answer:
3 ft, 3ft, 5ft => 45 cubic feet
6 ft, 2 ft, 4 ft => 48 cubic feet
7 ft, 2 ft, 2 ft => 28 cubic feet
6 ft, 5 ft, 2 ft => 60 cubic feet
Step-by-step explanation:
Recall: formula for volume of a rectangular prism is given as, V = L × W × H
✔️Volume of rectangular prism with the following dimensions:
L = 3 ft
W = 3 ft
H = 5 ft
V = 3 × 3 × 5
V = 45 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 6 ft
W = 2 ft
H = 4 ft
V = 6 × 2 × 4
V = 48 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 7 ft
W = 2 ft
H = 2 ft
V = 7 × 2 × 2
V = 28 cubic feet
✔️Volume of rectangular prism with the following dimensions:
L = 6 ft
W = 5 ft
H = 2 ft
V = 6 × 5 × 2
V = 60 cubic feet
