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elena-14-01-66 [18.8K]
3 years ago
11

This is a number system which uses a base of 10. The valid digits are 0 to 9.

Mathematics
2 answers:
RSB [31]3 years ago
8 0

Answer:

Decimal system

Step-by-step explanation:

The present system in Mathematics we use for representing numbers is a system which uses a base of 10.

We write 0 to 9 then next value we shift the digit from units to 10th place and write as 10.  Thus we use only digits form 0 to 9, and place values for digits from right are

10^0, 10^1, 10^2,....

For less than 1 we use decimals and use place values from right to left as

10^{-1} ,10^{-2} ,10^{-3} ...

Thus the system we use now is decimal system which has base 10.

Licemer1 [7]3 years ago
7 0
I think it's 9 but I could be wrong
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Assume that you have a sample of n 1 equals 6​, with the sample mean Upper X overbar 1 equals 50​, and a sample standard deviati
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Answer:

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Step-by-step explanation:

Data given

n_1 =6 represent the sample size for group 1

n_2 =5 represent the sample size for group 2

\bar X_1 =50 represent the sample mean for the group 1

\bar X_2 =38 represent the sample mean for the group 2

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System of hypothesis

The system of hypothesis on this case are:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 > \mu_2

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\sigma^2_1 =\sigma^2_2 =\sigma^2

The statistic for this case is given by:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{S_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}}

The pooled variance is:

S^2_p =\frac{(n_1-1)S^2_1 +(n_2 -1)S^2_2}{n_1 +n_2 -2}

We can find the pooled variance:

S^2_p =\frac{(6-1)(7)^2 +(5 -1)(8)^2}{6 +5 -2}=55.67

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The statistic is given by:

t=\frac{(50 -38)-(0)}{7.46\sqrt{\frac{1}{6}+\frac{1}{5}}}=2.656

The degrees of freedom are given by:

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The p value is given by:

p_v =P(t_{9}>2.656) =0.0131

Since the p value is higher than the significance level given of 0.01 we don't have enough evidence to conclude that the true mean for group 1 is significantly higher thn the true mean for the group 2.

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