Answer: 1 2/3
Step-by-step explanation:
The expression to find the perimeter of a rectangle is 2(length + width)
Length = 1/3
Width = 1/2
Perimeter = 2( 1/3 + 1/2)
Lowest common factor = 6
Perimeter = 2 [ (2 + 3) / 6]
Perimeter = 2 [ 5/6]
Perimeter = 10/6
Perimeter = 1 4/6 = 1 2/3
Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
Answer:
3.24 minutes
Step-by-step explanation:
Use a calculator or chart to find the z-score.
P(Z > z) = 0.60
P(Z < z) = 0.40
z = -0.253
Find the time associated with the z-score.
z = (x − μ) / σ
-0.253 = (x − 4) / 3
x = 3.24
Answer: b
Step-by-step explanation:
In the last question, you wrote on a second equation "13x ...." kkk
Let's go:
We have to check each one answer in the following system:
x - 2y = 7
3x + 7y = 8
I can use the substituition method to solve this system...
x = 7 + 2y
3x + 7y = 8
3(7 + 2y) + 7y = 8
21 + 6y + 7y = 8
13y = 8 - 21
13y = -13
y = -1
x = 7 + 2.(-1)
x = 5
Finally, the correct answer is the second one (letter b).