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Firlakuza [10]
3 years ago
15

A punch recipe calls for cups of 1 2/3 orange juice,3/4 cup of pineapple juice, and 1 1/2 cups of mango juice. How many total cu

ps of fruit juice does the recipe make?
Mathematics
1 answer:
KengaRu [80]3 years ago
8 0
First turn the whole numbers into mixed fractions:
1 1/2
multiply the whole number by the denominator then add it to the numerator which will make 3/2
doing the same thing on 1 2/3, you get 5/3
finding the LCM of 5/3, 3/2 and 3/4, you get 12
multiplying 4/4 to 5/3, you get 20/12
multiplying 6/6 to 3/2, you get 18/12
multiplying 3/3 to 3/4, you get 9/12
now you can add them easily and you get 47/20
turning that into a whole fraction, you get 2 7/20
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olga_2 [115]

Answer:

40197 these many 5s make up 200985 so 4 are left to make 200989

Step-by-step explanation:

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3 years ago
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The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang
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Say width equals x.
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8 0
3 years ago
A professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their class
KIM [24]

Answer:

We conclude that seniors skip more than 2% of their classes at 0.01 level of significance.

Step-by-step explanation:

We are given that a professor wishes to discover if seniors skip more classes than freshmen. Suppose he knows that freshmen skip 2% of their classes.

He randomly samples a group of seniors and out of 2521 classes, the group skipped 77.

<u><em /></u>

<u><em>Let p = percentage of seniors who skip their classes.</em></u>

So, Null Hypothesis, H_0 : p \leq 2%   {means that seniors skip less than or equal to 2% of their classes}

Alternate Hypothesis, H_A : p > 2%   {means that seniors skip more than 2% of their classes}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                   T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of seniors who skipped their classes = \frac{77}{2521}

           n = sample of classes = 2521

So, <u><em>test statistics</em></u>  =  \frac{\frac{77}{2521} -0.02}{{\sqrt{\frac{\frac{77}{2521}(1-\frac{77}{2521})}{2521} } } } }

                               =  3.08

The value of the test statistics is 3.08.

Now at 0.01 significance level, <u>the z table gives critical value of 2.3263 for right-tailed test</u>. Since our test statistics is more than the critical value of z as 2.3263 < 3.08, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that seniors skip more than 2% of their classes.

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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Work out the number of boys and girls in each class below.
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Answer:

Work out the number of boys and girls in each class below.

In class 8T, there are 9 boys.

The ratio of boys to girls is 1:2

Number of boys Number of girls = it's 0

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