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Dmitry_Shevchenko [17]
3 years ago
5

Solve the linear system of equations using the linear combination method.

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

a=-2 B=-9

Step-by-step explanation:

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After a snowstorm in the town of Golden Glen, the morning temperature was – 10°F. But by the afternoon, the temperature had rise
spayn [35]

Answer:

7°F

Step-by-step explanation:

We have the following information from the question;

Morning temperature = -10°F

Increase in temperate = 17°F

Afternoon temperature = the unknown

Since;

Increase in temperature = Afternoon temperature - morning temperature

Then;

Afternoon temperature = increase in temperature + morning temperature

Afternoon temperature = 17°F + (-10°F)

Afternoon temperature= 7°F

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The fourth one, (3,-6), (3,-4), (6,-4), (6,-6)
8 0
3 years ago
In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.
telo118 [61]

Answer:

v \approx 415.2\,cm

Step-by-step explanation:

The angle T is:

\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}

\angle T = 75^{\circ}

Now, the length of v is determine by the Law of Sines:

\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}

v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)

v \approx 415.2\,cm

6 0
3 years ago
According to the University of Nevada Center for Logistics Management, 6% of all merchandise sold in the United States gets retu
jeka57 [31]

Answer:

p_v =P(z>3.390)=0.000349  

If we compare the p value and the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 10% of significance the proportion of returns at the Houston store is significantly higher than 0.06 or 6%.

Step-by-step explanation:

1) Data given and notation n  

n=80 represent the random sample taken

X=12 represent number of items returned

\hat p=\frac{12}{80}=0.15 estimated proportion of items returned

p_o=0.06 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.90

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that proportion of returns at the Houston store was more than the national expectation (0.06):  

Null hypothesis:p\leq 0.06  

Alternative hypothesis:p >0.06  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.15 -0.06}{\sqrt{\frac{0.06(1-0.06)}{80}}}=3.390  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.1. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>3.390)=0.000349  

If we compare the p value and the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 10% of significance the proportion of returns at the Houston store is significantly higher than 0.06 or 6%.

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3 years ago
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Maksim231197 [3]
The answer is 28 because 10x2 is 20 and there are 2 2x2 which is 8 so 28.
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3 years ago
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