Answer:
An applicant must score a minimum of 128
Step-by-step explanation:
To solve this question, we make use of the z-score formula.
Z = (X - mean)/standard deviation
Firstly, let’s list out the parameters from the question. From the question, we can deduce that:
Z = 1.5
X = ?
Mean = 110
Standard deviation =12
1.5= (X-110)/12
18 = X - 110
X = 110 + 18
X = 128
Answer:
b = 2A/h - a . (option a)
Step-by-step explanation:
Check attachment
Let us assume the first even number = n
The second consecutive even number = n + 2
The third consecutive even number = n + 4
The addition of the three consecutive even numbers is 42 and it is already given in the question. Based on the information's given in the question, the answer can be easily deduced.
Then, the equation can be written as
n + (n + 2) + (n + 4) = 42
3n + 6 = 42
3n = 42 - 6
3n = 36
n = 36/3
= 12
So
The first even number = 12
The second consecutive even number = n + 2
= 12 + 2
= 14
The third consecutive even number = n + 4
= 12 + 4
= 16
So the three consecutive even numbers are 12, 14, 16.
Answer:
Both
1 ≥ 2x
and
6x ≥ 3 + 8x – 4
Step-by-step explanation:
Correct representations are representations which are equivalent and represent the exact same relationship. To find these, you can simplify the inequality.
6x ≥ 3 + 4(2x – 1)
6x ≥ 3 + 8x - 4
6x ≥ 8x - 1
-2x ≥ -1
2x ≤ 1
x ≤ 1/2
Let the two numbers be x and y.
x + y = 86
+
x - y = 12
_________
2x + 0 = 98
__________
2x = 98
x = 98/2
x = 49
From x + y = 86
49 + y = 86
y = 86 - 49
y = 37
The numbers are 49 and 37.
