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gayaneshka [121]
3 years ago
15

to find the product 3 3/8 * 4 1/9.tara rewrote 3 3/8 as 17/8 amd 4 1/9 as 13/9. she multiplies the fractions to find the product

221/72. what error did she make
Mathematics
1 answer:
Ymorist [56]3 years ago
3 0

Answer:

The error Tara made is she rewrote incorrectly 3 3/8 as 17/8 and 4 1/9 as 13/9,

the corrected number can be rewrote as 3 3/8 as 27/8 and 4 1/9 as 37/9.

Step-by-step explanation:

To find the Product of:

3\frac{3}{8}\times 4\frac{1}{9}

The Number can be rewrote as,

\frac{3\times8+3}{8}\times \frac{4\times9+1}{9}\\\\\frac{24+3}{8}\times \frac{36+1}{9}\\\\\frac{27}{8}\times \frac{37}{9}

Tara made error here she rewrote the number incorrectly 3 3/8 as 17/8 amd 4 1/9 as 13/9.

Now multiplying the fraction we get

\frac{999}{72}

Because she rewrote incorrectly which led her answer to multiplication of fraction, the product too was incorrect which she wrote as 221/72.

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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, 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 a compact microwave oven consumes a mean of more than 250 W.

7 0
3 years ago
The recipe for potato salad calls for one teaspoon of vinegar for every 2 teaspoons of mayo how many teaspoons of vinegar are ne
lozanna [386]
To solve this, you see that the amount of mayo is double that of vinegar, so you can simply divide 16/2 to get 8 teaspoons of vinegar
8 0
4 years ago
OK so I need to know what 96÷6 is and I know it is 16 but I need to know how to do it in long division can anyone help me
algol13

Answer:

   16

 ____________

6| 96

  -6 |

       V

    36

  - 36

     0

6 goes into 9 one time because 9-6=3 so there is 1 six in 9. Write 1 at the top because you have 1 6.

Subtract the 6 and you get 3

Bring the 6 from 96 down

you get 36

6 goes into 36 6 times because 36-6-6-6-6-6-6=0 so write a 6 at the top and you get 16 because of the previous 1.

Subtract 36 by 36 to get 0

Hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What two numbers multiply to -36 and add to -5
quester [9]

Answer:

9 and -4 is the answer it should be correct

5 0
3 years ago
Find the product. (n + 8)(n - 2)
Margaret [11]
If you would like to find the product (n + 8) * (n - 2), you can do this using the following steps:

(n + 8) * (n - 2) = n * n - 2 * n + 8 * n - 8 * 2 = n^2 + 6 * n - 16

The correct result would be n^2 + 6 * n - 16.
7 0
3 years ago
Read 2 more answers
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