Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
Freezer A is better option as price per cubic foot is less for Freezer A
Step-by-step explanation:
Data provided in the question:
Measure of Freezer A = 1 ft × 1 ft × 5 ft
Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft
Price of Freezer A = $300
Price of Freezer B = $600
Now,
Volume of Freezer A = 1 ft × 1 ft × 5 ft
= 5 ft³
Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft
= 9 ft³
Now,
Price per cubic foot for Freezer A = $300 ÷ 5 ft³
= $60/ft³
Price per cubic foot for Freezer B = $600 ÷ 9 ft³
= $66.67/ft³
Hence,
Freezer A is better option as price per cubic foot is less for Freezer A
Answer:
$540
Step-by-step explanation:
You need first to calculate the hour rate that is payment divided to total number of hours done.
297/22 = 13.5
Now we know that she is earning $13.5/1 hour
We just need to multiply by 22 hours and we have 13.5*22 = $540
Answer:
Reject the null hypothesis.
Step-by-step explanation:
n1 = 16
n2 = 21
S.V1 = 5.8
S.V2 = 2.4
= 0.05
= Population Variance 1 ≤ Population Variance 2
= Population Variance 1 > Population Variance 2
Test statistic value = 5.8 / 2.4 = 2.417
Degrees of freedom is n - 1
15 and 20
Critical value is 
= 2.2
2.417 > 2.2
we reject the null hypothesis as the critical value is greater than the test statistic.
Answer:
92
Step-by-step explanation:
20% of 460 is 92 so it would be 92
