Answer:
Josephine
Step-by-step explanation:
2 criteria was given to pass an exam:
1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers
2. Score at least, 33% in each paper.
From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths
Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.
Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%
Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%
Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.
It is A because opposite of angle 27 degrees is the same angle if you see
Answer:
n=-6
Step-by-step explanation:
5n-42=12n
5n=12n+24
5n-12n=42
-7n=42
divide each side by -7
n does =-6
Answer:
Length = 8 inches
Width = 4 inches
Height = 6 inches
Step-by-step explanation:
Volume of the box = 192 cubic inches
Volume of a box = length × width × height
Let
Width = x
Length = 2x
Height = x + 2
Volume of a box = length × width × height
192 = 2x * x * (x + 2)
192 = 2x^2 (x + 2)
192 = 2x^3 + 4x^2
Divide through by 2
96 = x^3 + 2x^2
Subtract 96 from both sides
x ^3 + 2x^2 - 96 = 0
Factorise
(x - 4) (x^2 + 6x + 24) = 0
x^2 + 6x + 24 has no real x-value
So,
Divide both sides by (x^2 + 6x + 24).
0 ÷ (x^2 + 6x + 24) = 0
So,
(x - 4) = 0
x = 4
Width = x = 4 inches
Length = 2x
= 2(4)
= 8 inches
Height = x + 2
= 4 + 2
= 6 inches
Check:
Volume of a box = length × width × height
= (8 * 4 * 6) inches
= 192 inches
F(x) = x + 5; x = 4w
f(4w) = 4w + 5
Answer: B - (4w; 4w + 5)
