Step-by-step explanation:
z = (x − μ) / σ
z = (65 − 69) / 3.5
z = -1.14
Answer:
D
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = C(3, - 2) and (x₂, y₂ ) = D(7, - 8)
CD = 
= 
= 
= 
≈ 7.2 → D
Answer:
Option D. y = 5x + 1
Step-by-step explanation:
From the question given above, the following data were:
Input (x) >>>>>> Output (y)
0 >>>>>>>>>>>> 1
1 >>>>>>>>>>>> 6
2 >>>>>>>>>>>> 11
3 >>>>>>>>>>>> 16
4 >>>>>>>>>>>> 21
To know the the correct answer to the question, we shall apply the equation given in each option to see which will satisfy the table. This can be obtained as follow:
For Option a
y = 3x + 3
x = 0
y = 3(0) + 3
y = 0 + 3
y = 0
y = 3x + 3
x = 1
y = 3(1) + 3
y = 3 + 3
y = 6
For Option b
y = 5x – 4
x = 0
y = 5(0) – 4
y = 0 – 4
y = – 4
y = 5x – 4
x = 1
y = 5(1) – 4
y = 5 – 4
y = 1
For Option c
y = 10x – 9
x = 0
y = 10(0) – 9
y = 0 – 9
y = – 9
y = 10x – 9
x = 1
y = 10(1) – 9
y = 10 – 9
y = 1
For Option d
y = 5x + 1
x = 0
y = 5(0) + 1
y = 0 + 1
y = 1
y = 5x + 1
x = 1
y = 5(1) + 1
y = 5 + 1
y = 6
From the illustrations made above, only option d satisfy the table. Thus, option d gives the correct answer to the question.
2. y = -4x + 1 so slope m = -4
passing thru (3,-1)
y = mx + b
-1 = -4(3) + b
-1 = -12 + b
11 = b or b = 11
answer:
equation: y = -4x + 11
4.
answer is a. -2, 1/2 opposite reciprocal
b. 1/4 , 4 ..... only reciprocal
c. 5, -5..........only opposite
Answer:
-9/2
Step-by-step explanation:
-7-3a=17
-1-17=3a
-18=3a
a=-18/3
a=-6
The value of fac{3}{4} a = (3/4)(-6)
= -18/4
= -9/2
