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Komok [63]
3 years ago
8

Is 2a * b = a^2 + b^2 true or false

Mathematics
1 answer:
alisha [4.7K]3 years ago
5 0

First step of the equation is to simplify the equation 2a • b = a2 + b2 into 2 ab = a2 + b2. This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9. hence the answer to this problem is false. we can try another values to verify.


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You spend $77 shopping. You buy some shirts at $12 each, and spend $5 on food. How many shirts did you buy?
galina1969 [7]
You buy 6 shirts. So $77 minus $5=$72
Then you divide $72 by $12 and you get 6 shirts
5 0
3 years ago
Read 2 more answers
A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br
Marianna [84]

Answer:

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

The manager of  Publix in Clemson believes 64% is too high for his own store

Step-by-step explanation:

<u><em>Step:-1</em></u>

Given that the consumer Reports showed that 64% of supermarket shoppers.

Given that the population proportion

                                 P = 0.64

Given that random sample size 'n' = 100

Given that 52 believe the supermarket brands were as good as the national brands.

<em>sample proportion</em>

<em>                           </em>p^{-} = \frac{x}{n} = \frac{52}{100} = 0.52<em></em>

<u><em>Step:-2</em></u>

<u><em>Null hypothesis: </em></u>The manager of the Publix in Clemson believes 64% is too low for his own store

μ < 0.64

<u><em>Alternative Hypothesis:H₁:</em></u>μ > 0.64

Test statistic

               Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }

               Z = \frac{0.52-0.64}{\sqrt{\frac{0.64 X 0.36}{100} } }

              Z =  -2.5

<em>Level of significance = 0.05</em>

<em>Z₀.₀₅ = 2.326</em>

<em>The calculated value  |Z| = |-2.5| >2.326 at 0.05 level of significance</em>

<u><em>Final answer</em></u><em>:-</em>

<em>The null hypothesis is rejected at a 0.05 level of significance</em>

<em>The alternative hypothesis is accepted at a 0.05 level of significance</em>

3 0
3 years ago
A lock has four dials. On each dial are the digits 0 to 9 how many possible combinations are there
madam [21]

Answer:

10,000

Step-by-step explanation:

The combination consists of four digits, hence 0000 to 9999. There at 10^4 or 10,000 possible combinations (but only one that works).

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Consider the figure below where l2 intersects l1 and m∠2=90°.
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where the triangles are........????

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