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Anit [1.1K]
3 years ago
13

Mikayla evaluated the expression 0.86 times 23.4 using the steps shown below.

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0

Answer:

she moved the decimal incorrectly

Step-by-step explanation:

mikayla evaluated the expression 0.86 × 23.4 using the steps shown below.

0.86

× 23.4

344

2580

+ 17200

= 201.24

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Explain why x^2 = -81 does not have a solution.
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Answer:

1.  Find < ACB

2. Use that triangles =180 to find <B  = 41

Step-by-step explanation:

1.We need to find < ACB

<ACB +<DBC= 180 They make a straight line

Subtract DBC from each side

<ACB = 180 - <DBC  

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4 years ago
Read 2 more answers
1).Calculate T, when sample mean is 120, population mean is 100, standard deviation is 20 and smaple size is 10 using levels of
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Answer:

t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16  

p_v =2*P(t_{9}>3.16)=0.012  

If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.  

Step-by-step explanation:

Data given and notation

\bar X=120 represent the sample mean  

s=20 represent the standard deviation for the sample

n=10 sample size  

\mu_o =100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

t 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 to be tested  

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:  

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

Compute the test statistic  

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-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".  

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

t=\frac{120-100}{\frac{20}{\sqrt{10}}}=3.16  

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Conclusion

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If we compare the p value and a significance level assumed \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and the true mean is significantly different from 100 at 5% of significance.  

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