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Morgarella [4.7K]
3 years ago
9

a hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting Cross section?

Mathematics
2 answers:
faltersainse [42]3 years ago
8 0
The shape of the resulting Cross section is a hexagone
zloy xaker [14]3 years ago
6 0
After cutting the Hexagonal in this manner it would still be a Hexagonal.
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Write an explicit rule for the geometric sequence 4, 8, 16, 32, ..
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Then:

a(n) = 4(2)^(n-1)

Check:  Predict the 4th term using this formula:

a(4) = 4(2)^3 = 4(8) = 32  (correct)
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A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trou
Mrrafil [7]

Answer:

Check the explanation

Step-by-step explanation:

(a)

H0: Population mean = 8.46

H1: Population mean is not equal to 8.46

The test statistic (t) is given by the following expression -

{t=\frac{\overline{x}-\mu_0}{s/\sqrt{n}}}

We have calculated the sample mean (8.421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be -

t = (8.421 - 8.46)/(0.0461/sqrt(49)) = -5.92

The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.

(b)

There are the following four assumptions for a single sample t-test.

The observations are in ratio scale.

The observations have been taken in such a manner that every single observation is independent and uncorrelated from the others.

There should not be any significant outliers in the sample observations.

The sample data should be approximately normal.

(c)

The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.

Kindly check the graphical table in the attached images below.

(d)

The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.

7 0
3 years ago
The sale price of a used car is $4,160 after a 35% discount. What is the original price of the car?
erik [133]

Answer: The original price was $6,400

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mark brainliest?? plz :)

3 0
3 years ago
If csc x = −5, find csc(−x) find the period and horizontal shift
ella [17]

Answer:

\csc (-x) = - \csc x = - ( - 5) = 5

Period is 2π

Horizontal shift = 0

Step-by-step explanation:

We know that \sin (-x) = - \sin x and as \csc x = \frac{1}{\sin x}, so, we can write \csc (-x) = - \csc x

Therefore, the if \csc x = - 5 then \csc (-x) = - \csc x = - ( - 5) = 5 (Answer)

Now, the period of \csc x is 2π, hence the period of \csc (- x) is also 2π.  (Answer)

Again. \csc ( - x) = \csc (-x + 0), hence, the horizontal shift of \csc (- x) is 0. (Answer)

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Tom predicted that the Giants what score three point field goal scored two 6 points touchdowns in for one extra points if Tom we
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If they only scored one field goal they would start with 3, and if they scored one extra point on each touchdown that would be 7+7+3 that would equal 17. If they only scored one extra point between two touchdowns than it would be 3+7+6=16
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3 years ago
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