true or false? the opposite and adjacent sides stay the same no matter which angle you are looking at.

olasank [31]

You have to make the denominTors even, in this. Case it is 30. So you mutiply the 4 by 3 because you mutiply true 10 by 3 to get 30. So that fraction is now 12/30. Then mutiply the 2 by 2 because the 15 gets multiplied by 2 to get 30. So your equation is now 12/30 - 4/30. And you solve that to make 8/30. Simplify it to get 4/15. 4/15 is the answer. Hope this helps.

8 0

3 years ago

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Fritz attended band practice for 5/6 hour. Then he went home and practiced for 2/5 as long as band practice. How many minutes di

iren2701 [21]

The answer is 1/3 SmartUnicorn101

4 0

3 years ago

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Connor said, "To the nearest hundred, I've attended school for 800 days of my life!" State 3 numbers that could be the actual nu

joja [24]

How many school are in a year at your school? You need to figure that out before you answer the question.

8 0

3 years ago

Advandia is a drug used to treat diabetes, but it may cause an increase in heart attacks among a population already susceptible.

sergiy2304 [10]

Answer:

a) The proportions are not form matched-pairs data.

b) The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is evidence of a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Step-by-step explanation:

a) Two data sets are "paired" when the following one-to-one relationship exists between values in the two data sets:

Each data set has the same number of data points.

Each data point in one data set is related to one, and only one, data point in the other data set.

None of this conditions apply in this case, so the proportions are not form matched-pairs data.

b) This is a hypothesis test for the difference between proportions.

The claim is that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0$

The significance level is 0.05.

The sample 1 (Avindia treatment), of size n1=1456 has a proportion of p1=0.0185.

$p_1=X_1/n_1=27/1456=0.0185$

The sample 2 (other treatment), of size n2=2895 has a proportion of p2=0.0142.

$p_2=X_2/n_2=41/2895=0.0142$

The difference between proportions is (p1-p2)=0.0044.

$p_d=p_1-p_2=0.0185-0.0142=0.0044$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{27+41}{1456+2895}=\dfrac{68}{4351}=0.0156$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.0156*0.9844}{1456}+\dfrac{0.0156*0.9844}{2895}}\\\\\\s_{p1-p2}=\sqrt{0.00001+0.00001}=\sqrt{0.00002}=0.004$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0044-0}{0.004}=\dfrac{0.0044}{0.004}=1.1$

This test is a right-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=P(z>1.1)=0.1358$

As the P-value (0.1358) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that there is evidence to suggest that there is a significant increase in the proportion of people who suffer heart attacks when using Avandia compared to other treatments.

8 0

4 years ago

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A ‘bit’ is the smallest unit of space in computing (holding a ‘0’ or ‘1’ value). There are 8 bits in a byte, 1000 bytes in a kil

kvv77 [185]

The answer is 6.4*10^22

6 0

3 years ago