Roughly 1.7 percent of the bands are shorter than 3cm. We calculate the z score of the data point in standard distribution. By definition of z score, we use score minus mean divided by standard deviation. z=(3-6)/1.5=-2. A z score of -2 corresponds to approximately 1.7%, in other words, roughly 1.7 percent of data is less than 3cm.
Answer:
z=-4
Step-by-step explanation:
Simplify 10 + 2z + 2z to 10 + 4z
Add 10 to both sides
Simplify 10 + 4z + 10 to 4z + 20
Subtract 4z from both sides
Simplify -z - 4z − z− 4z to -5z − 5z.
Divide both sides by -5 − 5
Simplify 20 / 5 to 4
Answer:
Correct answer: q = 4
Step-by-step explanation:
Given:
3, 12, 48, 192, .....
First term b₁ = 3
Second term b₂ = 12
Third term b₃ = 48
Fourth term b₄ = 192
Common ratio or quotient is:
q = b₂ / b₁ = b₃ / b₂ = 12 / 3 = 48 / 12 = 4
q = 4
God is with you!!!
Answer:
Q1: The rabbit could be at eight different numbers of the number line: -7, - 5, - 3, - 1, 1, 3, 5, and 7.
Q2: 13
Step-by-step explanation:
Q1: Let's simulate each of the jumps of the rabbit in all the possible directions, as follows:
Option 1: - 4 - 2 - 1 = -7
Option 2: - 4 - 2 + 1 = -5
Option 3: - 4 + 2 - 1 = - 3
Option 4: - 4 + 2 + 1 = - 1
Option 5: 4 - 2 - 1 = 1
Option 6: 4 - 2 + 1 = 3
Option 7: 4 + 2 - 1 = 5
Option 8: 4 + 2 + 1 = 7
Q2: If the rabbit started at 10 you would add 3 to 10 and get 13.
Answer:
7 - 2x
Step-by-step explanation:
We start with
-2x + 7
And we can separate the terms
(-2x) (+7)
and move them around
(+7) (-2x)
7 - 2x is an equivalent expression.
