Please answer this!: Find the value of x in each case...
1 answer:
Answer:
Step-by-step explanation:
1) AE // AC and EB is transversal
2x+ 6x = 180 {Co-interior angles are supplementary}
8x = 180
x = 180/8
x = 22.5
2)8x + ∠CAB = 180 {Linear pair}
∠CAB = 180 - 8x
9x + ∠ABC = 180 {linear pair}
∠ABC = 180 - 9x
∠CAB + ∠ABC + ∠ACB = 180 {Angle sum property of triangle}
180 - 8x + 180 - 9x + 5x = 180
-8x - 9x + 5x = 180 - 180 - 180
-12x = -180
x = -180/-12
x = 15
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Answer:
a) Mean = 133, Standard deviation = 2.5
b) Normal distribution
c) 0.0026
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 4
Mean = 133
Standard deviation = 5
a) Mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day.
The sampling distribution has a mean equal to the population mean
The standard deviation of the sampling distribution is given by:
b) Shape of the sampling distribution
Central limit theorem:
When a large sample is drawn from a normal distribution, then the distribution of sample means approaches a normal distribution.
Since the distribution is normal, the sampling distribution of the sample mean will be bell shaped and follow a normal distribution.
c) P(sample mean exceeds 140)
Calculation the value from standard normal z table, we have,
0.0026 is the probability that the sample mean exceeds 140.