Answer:
25.2X + 3.4 centimeters.
Step-by-step explanation:
The formula for the perimeter of a rectangle
= 2L + 2W
= 2(L + W)
From the question:
Width of a rectangle (W) = 9.7 X - 4.7 centimeters
Length of a rectangle (L) = 2.9 X + 6.4 centimeters
Imputing it into the formula
2(L + W)
2( 9.7X - 4.7 + 2.9X + 6.4)
2 (9.7X + 2.9X - 4.7 + 6.4)
2( 12.6X + 1.7)
= 25.2X + 3.4 centimeters.
Therefore, the perimeter of the rectangle = 25.2X + 3.4 centimeters.
Answer:
Yes, you can buy the used car with $849.92 left over.
Step-by-step explanation:
20 hours per week for 52 weeks = 1040 hours
1040 hours at $8 = $8320 per year
FICA = 8320 x 0.0565 = $470.08
8320 - 470.08 = $7849.92
Answer:
from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
Step-by-step explanation:
Given that;
= 6.5 gpm
μ = 5 gpm
n = eight runs = 8
standard deviation σ = 1.9 gpm
Test statistics;
t = ( - μ) /
we substitute
t = (6.5 - 5) /
t = 1.5 / 0.67175
t = 2.23
the degree of freedom df = n-1 = 8 - 1
df = 7
Now, from the t-distribution table, at df = 7 and t = 2.23
Lies p-values [ 0.05 and 0.025 ]
Hence;
0.025 < p-value < 0.05
First, let's solve the inequality:
Subtracting 4 from all 3 terms, we get -6 < 3x < -2
Solving -6 < 3x results in x>-2, and solving 3x < -2 results in x < -2/3.
Ask: which integers satisfy x>-2? Answers: -1, 0, 1, 2, ....
Also ask: which integers satisfy x < -2/3? Answers: -5, -4, -3, -2, -1
Notice that the only integer that is found in both sets of possibilities is -1. So, only one integer x satisfies the given inequality.
(g-h)(x) = 2x+1 -(<span>x-2)
</span>(g-h)(x) = 2x+1 - x + 2
(g-h)(x) = x + 3