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shusha [124]
2 years ago
12

Write 0.00000711 in scientific notation.

Mathematics
2 answers:
dedylja [7]2 years ago
7 0

Answer:

7.11 * 10^-6

Step-by-step explanation:

Count from decimal = -6  then place to show value 1-9  = 7.11 * 10^-6    The Chaldean were ruled by King Nebuchadnezzar he built one of the Seven Wonders of The World  Gardens of Babylon - he also conquered Jerusalem and built a Mesopotamian pyramid called a ziggurat at the center of Babylon including lots of restructure to all cities across the region - Also the rise in culture to design of names for zodiac signs and two pillar scripts as they used astrology and no my name is named after a baby panda lol I realise the Childean's translation for number 9 is Bamboola but i found Bamboola a helpful meaning name considering how people so cry for help with maths- I like to think of these images all while breeding programs are showing remarkable success :-)  I am an English girl residing in South East England.

BabaBlast [244]2 years ago
5 0

Answer:

7.11 x 10^-6

Step-by-step explanation:

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z=\frac{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

p_v =P(z>1.9)=0.0287  

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Step-by-step explanation:

Data given and notation  

\bar X=12.95 represent the sample mean

\sigma=3 represent the population standard deviation for the sample  

n=36 sample size  

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\alpha=0.05 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)  

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We need to conduct a hypothesis in order to check if the mean is equal to 12, the system of hypothesis would be:  

Null hypothesis:\mu \leq 12  

Alternative hypothesis:\mu > 12  

Since we know the population deviation, 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{12.95-12}{\frac{3}{\sqrt{36}}}=1.9  

P-value  

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

p_v =P(z>1.9)=0.0287  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is higher than 12 at 5% of signficance.  

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