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3 years ago

What number has a greater value? 0.00009 or 0.0001.

Mathematics

2 answers:

victus00 [196]3 years ago

8 0

Answer:

The answer is .0001

Step-by-step explanation:

Since it is the closest value to 0, it is the largest number

kvv77 [185]3 years ago

5 0

Answer:

0.0001 is the greater value

Step-by-step explanation:

It is a good idea to write both the values in the scientific notation and then compare which of the values is greater.

So, to convert 0.00009 in scientific notation, write the first value from the right most side and multiply it with 10 to the negative power of number of digits to the right side of the decimal to get:

0.00009 ---> 9 x 10^-5

And 0.0001 ---> 1 x 10^-4

Comparing 9 x 10^-5 and 1 x 10^-4, we can see that 1 x 10^-4 has a greater power than that of 9 x 10^-5.

Therefore, 0.0001 is the greater value.

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A metal rod 9.4 meters long is cut into two pieces. One piece is three times as long as the other. Find the length of the longer

tresset_1 [31]

2a + b = 9.4

There are 3 parts, 2 go to Rod A, 1 go to Rod B.

9.4 / 3 = 3.13333 recurring

Rod A = 2(3.13)
= 6.26

Rod B =
3.13

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7 0

3 years ago

Assume that you plan to use a significance level of alpha α equals =0.05 to test the claim that p 1 p1 equals = p 2 p2. Use the

stiks02 [169]

Answer:

z=3.536

$\hat p=0.204$

$p_v =2*P(Z>3.54)\approx 0.0004$

Step-by-step explanation:

1) Data given and notation

$X_{1}=172$ represent the number of people with the characteristic 1

$X_{2}=356$ represent the number of people with the characteristic 2

$n_{1}=677$ sample 1 selected

$n_{2}=3377$ sample 2 selected

$p_{1}=\frac{172}{677}=0.254$ represent the proportion estimated for the sample 1

$p_{2}=\frac{654}{3377}=0.194$ represent the proportion estimated for the sample 2

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{172+654}{677+3377}=0.204$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.254-0.194}{\sqrt{0.204(1-0.204)(\frac{1}{677}+\frac{1}{3377})}}=3.536$

4) Statistical decision

Since is a two side test the p value would be:

$p_v =2*P(Z>3.54)\approx 0.0004$

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups.