Answer:
Step-by-step explanation:
The 5th term of the arithmetic sequence is 53. We can write the equation:
The 6th term of the arithmetic sequence is 62. We can write the equation:
Subtract the first equation from the second one to get:
The first term is
The 38th term of the sequence is given by:
Answer:
68%
Step-by-step explanation:
The Standard Deviation Rule = Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question,
Step 1
We have to find the number of Standard deviation from the mean. This is represented as x in the formula
μ = Mean = 61
σ = Standard Deviation = 8
For x = 53
μ - xσ
53 = 61 - 8x
8x = 61 - 53
8x = 8
x = 8/8
x = 1
For x = 69
μ + xσ
69 = 61 + 8x
8x = 69 - 61
8x = 8
x = 8/8
x = 1
This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%
The coefficient of X is -2
Hey!
If 112 people are getting cake and 5/8 are getting chocolate, that means the remaining will get chocolate.
8/8 - 5/8 = 3/8
3/8 are getting chocolate. You have to find 3/8 of 112.
3/8 × 112 = 336/8 = 42
42 people are getting carrot cake
:)
Answer:
answer of your question is
-x= -7
