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pashok25 [27]
3 years ago
9

How do I solve this problem?

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0
A. x=the cost of one lunch. 60.25=5x+3(x-5.25)

b. 60.25=5x+3x-15.75                    60.25+15.75=8x-15.75+15.75

 76=8x                  76/8=8x/8              9.50=x

A lunch is $9.50. If you are not sure, check my answers. Hope this helped.
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3. The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population p
damaskus [11]

Answer:

A)sample proportion = 0.17,  the sampling distribution of p can be calculated/approximated with normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) 0.869

C)0.9668

Step-by-step explanation:

A) p ( proportion of population that spends more than $100 per week) = 0.17

sample size (n)= 800

the sample proportion of p = 0.17

standard error of p = \sqrt{\frac{p(1-p)}{n} } = 0.013281

the sampling distribution of p can be calculated/approximated with

normal distribution of sample proportion = 0.17 and standard error/deviation = 0.013281

B) probability that the sample proportion will be +-0.02 of the population proportion

= p (0.17 - 0.02 ≤ P ≤ 0.17 + 0.02 ) = p( 0.15 ≤ P ≤ 0.19)

z value corresponding to P

Z = \frac{P - p}{standard deviation}

at P = 0.15

Z =  (0.15 - 0.17) / 0.013281 = = -1.51

at P = 0.19

z = ( 0.19 - 0.17) / 0.013281 = 1.51

therefore the required probability will be

p( -1.5 ≤ z ≤ 1.5 ) = p(z ≤ 1.51 ) - p(z ≤ -1.51 )

                           = 0.9345 - 0.0655 = 0.869

C) for a sample (n ) = 1600

standard deviation/ error = 0.009391 (applying the equation for calculating standard error as seen in part A above)

therefore the required probability after applying

z = \frac{P-p}{standard deviation} at p = 0.15 and p = 0.19

p ( -2.13 ≤ z ≤ 2.13 ) = p( z ≤ 2.13 ) - p( z ≤ -2.13 )

                               = 0.9834 - 0.0166 = 0.9668

7 0
3 years ago
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Rate of change between (2,11) and (8,14)
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Answer:

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Step-by-step explanation:

the rate of change is = the change in y/ the change in x

if the points are (2, 11) and (8, 14)  

Rate of change = (14-11) / (8-2) = 3 / 6 = 1/2

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2 years ago
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Mazyrski [523]

Answer:

idk let me go look at it

Step-by-step explanation:

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3p²q - 6pq² help me please .​
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3p²q - 6 pq²

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