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777dan777 [17]
3 years ago
8

Find the sum. Write your answer in simplest form. 3/7+ 2/3

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0
3/7 + 2/3

3/7 x 3/3 = 9/21
2/3 x 7/7 = 14/21

9/21 + 14/21 = 23/21 = 1 2/21
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If 2 cups of ketchup= 1 cup of tomato sauce, then ____ cups of ketchup= 2.25 cups of tomato sauce.
SashulF [63]
We have an equation: 2/1= ?/2.25

Cross multiply:
1*?= 2*2.25
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The final answer is 4.5~
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Many people use scanners to read documents and store them into pdf file. To help determine which brand of scanner to buy, a stud
konstantin123 [22]

The data is missing in the question. The data is provided below :

Document : 1     2      3      4      5     6      7      8

Brand A       17  29    18    14    21   25    22    29

Brand B       21  38    15    19    22   30    31   37

Solution :

State of the hypothesis of the null hypothesis and alternate hypothesis.

Null hypothesis : $h_A = h_B$

Alternate hypothesis : $h_A > h_B$

These hypothesis is a one tailed test. The null hypothesis will get rejected when the mean difference between the sample means is very small.

Significance level = 0.05

Therefore the standard error is :  $SE = \sqrt{(\frac{s^2_1}{n_1})+(\frac{s^2_2}{n_2})}$

                                                         = 3.602

And the degree of freedom, DF = 14

$t=\frac{(x_1-x_2)-d}{SE}$

 = -1.319

Here, $s_1$ = standard deviation of the sample 1

        $s_2$ = standard deviation of the sample 2

         $n_1$ = size of the sample 1

        $n_2$ = size of the sample 2

         $x_1$ = mean of the sample 1

        $x_2$ = mean of the sample 2      

          d = the hypothesis difference between the population mean

The observed difference in a sample means t static of -1.32. From t distribution calculator to determine P($t \leq -1.32$) = 0.1042  

Since the P value of 0.1042 is greater than significance level o 0.05, we therefore cannot reject the null hypothesis.

But from the test, we have no sufficient evidence that supports that Brand A is better than Brand B.      

8 0
3 years ago
What is the decimal multiplier to decrease by 30%?
sdas [7]
The decimal multiplier to decrease by 30 is .7
7 0
3 years ago
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