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Vikki [24]
3 years ago
7

The sum of three consecutive intergers is 36.if the first integer is y,find the value of y.

Mathematics
1 answer:
wariber [46]3 years ago
6 0
Hi,
Since they are consecutive, the equation will be:
y + (y + 1) + ( y + 2)=36
y + y + y +1 +2 = 36
3y + 3 = 36
3y = 36-3
3y = 33
y = 33/3
y=11
The three consecutive integers are 11, 12(11+1) and 13(11+2).
Hope this helps you.
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Step-by-step explanation:

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x = 360° - 300°

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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>

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3 years ago
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