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KATRIN_1 [288]
2 years ago
13

What is the solution for the determinant?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0
<span>The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.

The value of the determinant of a 2x2 matrix is the product of the top-left and bottom-right terms minus the product of the top-right and bottom-left terms.

= [ (1)(-3)] - [ (7)(0) ]
= -3 - 0
= -3

Therefore, the determinant is -3.

Hope this helps!</span>
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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
2 years ago
The surface area, S, of a right rectangular prism with length, l, width, w, and height, h can be found using the formula below.
anygoal [31]

Answer:

246 in^2

Step-by-step explanation:

Given data

Length= 8 in

Width= 3 in

Height= 9 in

SA= 2( lw + wh + hl)

substitute

SA= 2(8*3+ 3*9+ 9*8)

SA= 2(24+ 27+72)

SA= 2(123)

SA= 246 in^2

Hence the SA is 246 in^2

4 0
2 years ago
Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.
Yanka [14]
Hector could do it in 3 hours.
Your question doesn’t really make sense though.
3 0
3 years ago
Read 2 more answers
Please help!!!<br> 43+29= ? +60
NemiM [27]

Answer:

12

Step-by-step explanation:

43 + 29 = 72

? = 72 - 60 = 12

therefore, 43 + 29 = 12 + 60

8 0
2 years ago
Owen earns a base salary plus a commission that is a percent of his total sales. His total weekly pay is described by f(x)=0.15x
Travka [436]

Answer:

0.05x

This is equivalent to 5% of the total amount of sales.

Step-by-step explanation:

Previous Weekly pay function for Owen; f (x) = 0.15x +325-------------------- (1)

Current   Weekly pay function for Owen; g(x) = 0.20x +325--------------------(2)

Change in Owen's Salary plan is equation (2) minus equation (1)

g(x) - f(x) = (0.20x+325)-(0.15x+325)

              =  0.05x

The new change in Owen's salary is 5% of the total amount of sales

4 0
3 years ago
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