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jok3333 [9.3K]
3 years ago
13

A glass is

Mathematics
2 answers:
serg [7]3 years ago
7 0

Answer:

Step-by-step explanation:

4/7 x + 70 cm^3 = 3/4 x          Subtract 4/7 x from both sides

3/4 x - 4/7 x = 70 cm^3          The lowest common denominator is 28

\frac{3*7*x}{4*7} - \frac{4*4x}{4*7} = 70 cc\\\frac{21*x}{28} - \frac{16*x}{28} = 70 cc\\\frac{5x}{28}= 70cc\\

5x = 70*28

5x = 1960                                Divide by 5

x = 1960/5

x = 392 cc

sergeinik [125]3 years ago
4 0

Answer:

  • 392 cm³

Step-by-step explanation:

<u>The difference of 3/4 and 4/7 of the volume is 70 cm:</u>

  • 3/4 - 4/7 = 7/7*3/4 - 4/4*4/7 = 21/28 - 16/28 = 5/28

5/28 of the volume is 70 cm³

<u>Divide both numbers by 5/28 to find the total volume of the glass:</u>

  • 70 : 5/28 = 70*28/5 = 392 cm³
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Read 2 more answers
Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0
3 years ago
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