Joseph write the number pattern below 100; 101, 96; 97; 92; 93, 88; 89; what is the next pattern?
1 answer:
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Answer:
A. 3
B. 4
C. 1
D. 2
Step-by-step explanation:
Consider all equations:
A.
This is the equation of parabola with vertex at point
The y-intercept is at point
Since
,
the x-intercepts are at points (2,0) and (4,0)
The leading coefficient is 1 > 0, then the parabola opens upwards.
Hence, the graph of this parabola is 3.
B.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is 1 > 0, then the parabola opens upwards.
The only possible choice is parabola 4.
C.
This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.
The graph of this parabola is 1.
D.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is -1 > 0, then the parabola opens downwards.
The only possible choice is parabola 2.
Answer:
The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.
Step-by-step explanation:
We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.
<u><em>Let X = weights of adult male birds of a certain species</em></u>
So, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = population mean weight = 27.5 grams
= standard deviation = 1.1 grams
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;
<u>Z score</u> = =
= <u>1.7</u>