Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
Answer:
A one-sided, two-sample t-test
Step-by-step explanation:
In the context, the values of the population standard deviations are not provided, therefore we have to use the two sample t tests for the difference between the two population means. This claim for the hypothesis or the alternative hypothesis is given as the average selling price is more for the first group of the sample size of 21 as compared to the other group of the sample size of 87. Therefore, we perform an one sided test or the upper tailed test.
The order of the scale drawings from smallest to largest is
Smallest
1 in to 1 ft
Second smallest
1 in to 1 yd
Largest
1 in to 1 m
Given the following scales:
1 in to 1 ft
1 in to 1 m
1 in to 1 yd
We are to arrange the scales from smallest to largest.
Since 1 in is used as the base conversion for all the scales, we can convert the other scales to yards for consistency's sake.
Convert 1m to yards
1m = 1.1yards (From the question)
Convert 1ft to yards. According to conversion factor;
1 feet = 0.333333 yards
Ordering the scales from smallest to largest will give
0.33333yard (1 in to 1 ft), 1 yard (1 in to 1 yd), 1.1yards (1 in to 1 m)
Learn more here: brainly.com/question/14348682
Answer:
Kim will need to spend 67 minutes on her sixth ride
Step-by-step explanation:
Represent the number of minutes of her sixth ride by m.
Then the average number of minutes is
53 + 43 + 56 + 54 + 45 + m
---------------------------------------- = 53
6
Multiplying both sides of this equation by 6 yields
6(53 + 43 + 56 + 54 + 45 + m)
--------------------------------------------- = 6(53)
6
which simplifies to
251 + m
---------------- = 318
or 251 + m = 318. Subtract 251 from both sides to obtain the value of m:
m = 318 - 251 = 67
Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of 53 minutes.i
Answer:
43.8 is the Area but i don't know about the perimeter
Step-by-step explanation:
