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natali 33 [55]
3 years ago
10

During the party josie decides to make some more. She has 6 litres of fruit juice left and plenty of lemonade. How much extra pu

nch can she make
Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

Answer:

25 extra litres

Step-by-step explanation:

Ratio 2:3

2+3=5 so 35/5 =7

7x2 means she used 14 litres of fruit juice

7x3 means she used 21 litres of lemonade

if she has 10 litres of fruit juice left then she can use 10/2=5 5x3=15 15 litres of lemonade

10+15=25 so she can make 25 extra litres

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Several years​ ago, 38​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
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Answer:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

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We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

For this case we are interesting in the parameter of the true proportion of people satisfied with the quality of education the students receive

The confidence level is given 95%, the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical values are:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion of people satisfied with the quality of education the students receive is given by:

\hat p =\frac{499}{1165}= 0.428

The confidence interval for the proportion if interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

And replacing the info given we got:

0.428 - 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.3995

0.428 + 1.96\sqrt{\frac{0.428(1-0.428)}{1165}}=0.4564

We are confident that the true proportion of people satisfied with the quality of education the students receive is between (0.3995, 0.4564), since the lower value for this confidence level is higher than 0.38 we have enough evidence to conclude that the parents' attitudes toward the quality of education have changed.

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Now, we have to look at the 1/8x in the equation.

This 1/8 means that the slope is 1/8!

Now we use the slope and to rise/run to find our next point

We go up 1 from 4 (this is the rise) to get to 5 on the y-axis

Next, we go over 8 horizontally to get to 8 for your x-axis point.

So therefore, our next point is, (8,5)

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