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svlad2 [7]
3 years ago
6

Write the augmented matrix for the given system. x + 3y + 5z = -3 -5y + 3z = -8 -8z = -6

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

\begin{pmatrix} 1  & 3 &  5 & | &  -3& \\ 0 & 5 & 3 & | &  -8 \\  0 & 0 & -8 & | & -6 \end{pmatrix}

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The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
3 years ago
Jada is painting the top of a table. She needs to buy enough paint to cover the top.
Serhud [2]
A) she needs to find the area of the table
b) we need to know the radius to find the area. (Area = pi • r^2)
8 0
3 years ago
Read 2 more answers
3w+2(w-2)+10<br> Show and explain work
DaniilM [7]

Answer:

5w+6

Step-by-step explanation:

3w+2(w-2)+10       distribute the 2

<u>3w</u>+<u>2w</u>-4+10         combine like terms the w's and

                                               the numbers without the variables

5w+6

7 0
3 years ago
Which situation is an example of an obserational study apex
kompoz [17]

Answer:

be more descriptive I have no clue what you mean

5 0
3 years ago
Read 2 more answers
What’s the slope 3y=15-6x
Vera_Pavlovna [14]

Answer:

-2

Step-by-step explanation:

Isolate the variable y. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3y)/3 = (15 - 6x)/3

y = (15 - 6x)/3

y = 5 - 2x

Note the equation:

y = mx + b

m = slope

b = y-intercept

x & y = the point (x , y)

Note that the slope is directly next to x. -2 is your answer.

~

7 0
3 years ago
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