Answer:
x₁ = 3,29296875
x₂ = 3,276659786
x₃ = 3,279420685
Step-by-step explanation:
This is a recurrent relationship between xₙ₊₁ and xₙ
To get x₁, write the formula with n=0:

Then fill in what you know, x₀=3.2. This gives you x₁.
Repeat for n=1,... and so forth.
Excel can do this effectively, see picture.
Answer:
B. z Subscript alpha divided by 2 zα/2 = 1.96.
Step-by-step explanation:
We are given that we want to construct a confidence interval. For this, the summary statistics for randomly selected weights of newborn girls:
n = 236,
= 30.3 hg, s = 7.2 hg. The confidence level is 95%.
As we can clearly see here that the population standard deviation is unknown and the sample size is also very large.
It has been stated that when the population standard deviation is unknown, we should use t-distribution but since the sample size is very large so we can use z distribution also as it is stated that at very large samples; the t-distribution corresponds to the z-distribution.
Here,
= level of significance = 1 - 0.95 = 0.05 or 5%
= 0.025 or 2.5%
So, the value of
in the z table is given as 1.96 with a 2.5% level of significance.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx =
=
, then
x =
(
) ≈ 38.7° ( to 1 dec. place )
Answer: #2
Step-by-step explanation:
<h3>3
Answers:</h3>
- B) Mean
- C) Mean absolute deviation
- E) Mode
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Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
- Minimum
- Q1 = first quartile
- Median (sometimes referred to as Q2 or second quartile)
- Q3 = third quartile
- Maximum
This list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
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Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
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So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.