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8090 [49]
2 years ago
6

Triangle angle sun theorem what the value of y? I will give brainlist

Mathematics
1 answer:
hichkok12 [17]2 years ago
3 0

Answer:

y = 7°

Step-by-step explanation:

By interior angle sum theorem of a triangle.

51 \degree + 87 \degree + 6y = 18 \degree \\  \\ \implies 138 \degree+ 6y = 18 0\degree \\  \\  \implies  6y = 180 \degree  - 138 \degree  \\  \implies  6y = 42 \degree  \\  \\ \implies  y =  \frac{42 \degree}{6}  \\  \\  \huge \red{\implies  y =7 \degree} \\  \\

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Sophie [7]
The answer should be A
5 0
3 years ago
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
An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
Ne4ueva [31]

Answer:

( 0.6 t^2 + 3t + 11 ) cm

Step-by-step explanation:

dh/dt = 1.2t + 3

at t = 0, h = 11 cm

(a)

dh / dt = 1.2 t + 3

dh = (1.2 t + 3) dt

integrate on both sides

h = 0.6 t^2 + 3t + c    .... (1)

where c is the integrating constant

put t = 0

11 = c

Put in equation (1) , we get

h = ( 0.6 t^2 + 3t + 11 ) cm

Thus, teh height of tree after t years is given by

( 0.6 t^2 + 3t + 11 ) cm.

3 0
3 years ago
What is (2x+1) (3x+2)?
Pie

Answer:

In picture...

Step-by-step explanation:

I solved it step by step in picture. U can have a look

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7 0
2 years ago
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Find all solutions to the equation.<br><br> 7 sin2x - 14 sin x + 2 = -5
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7 0
3 years ago
Read 2 more answers
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