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DiKsa [7]
3 years ago
6

a sail that is in the form of a right triangle is four times as high as it is wide.The sail is made from 8 square meters of mate

rial. what is its height
Mathematics
1 answer:
patriot [66]3 years ago
5 0

I think it is 2 by 4 so the height of the triangle would be 4


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Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:
Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{99.9}{10} = 9.99

Sum of squares of differences = 1.009

S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348

b) observed value of the t-statistic

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom =  n - 1 = 9

Calculating the value from the table

P(x < 9.99) = 0.1631

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0
3 years ago
Answer and show work #36
Artyom0805 [142]
I dont understant that
8 0
3 years ago
If 9^(1 - x) =27^Y and x-y equals to -11 / 2 find the value of x + y​
777dan777 [17]

Answer:

x = -2.9

y = 2.6

x+y = -2.9+2.6

= -0.3

8 0
2 years ago
A 8.33% tax is added to a $120 grocery bill.<br> A. Amount of tax: $9.99<br> B. Total paid: $127.99
katrin2010 [14]
120$. 100%
X$. 8.33%
X= 120• 8.33/100
X=9.99 $
6 0
2 years ago
Combine like terms.<br> 2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y<br> ASAP<br> someone help please
AnnZ [28]

Answer:

-2y2 - 4y - 7

Step-by-step explanation:

2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1

4y2 - 6y2 - 4y - 8 + 1

-2y2 - 4y - 7

3 0
3 years ago
Read 2 more answers
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