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NemiM [27]
4 years ago
8

The line plot shows the number of bags of grapes,grouped by weight, to the nearest 1/8 pound. How many bags of grapes had a weig

ht of 3/8 pound or less

Mathematics
1 answer:
Assoli18 [71]4 years ago
8 0

Answer:

2.25 pounds

Step-by-step explanation:

The diagram showing the weight of bags with grapes is shown in the attached file below.

From the diagram; number of  bags of grapes that had a weight of \dfrac{3}{8} pounds or less is:

\dfrac{3}{8} pounds  = 3

\dfrac{1}{4} pounds = 4

\dfrac{1}{8} pounds = 1

Thus; the total is = 3+4+1 = 8

However, The total weight of the grapes in the bag that had a weight of  \dfrac{3}{8} pounds or less is :

= \dfrac{3}{8}(3) + \dfrac{1}{4}(4) + \dfrac{1}{8}(1)

= \dfrac{9}{8} + 1 + \dfrac{1}{8}

= \dfrac{9+8+1}{8}

= \dfrac{18}{8}

= 2.25 pounds

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
saul85 [17]

Answer:

The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

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For this problem, we have that:

He takes a simple random sample of 122 people living in Gastown and finds that 25 have an annual income that is below the poverty line. This means that n = 122 and \pi = \frac{25}{122} = 0.205

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The upper limit of this interval is:

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The 95% confidence interval for the true proportion of Gastown residents living below the poverty line is (0.133, 0.2766).

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3 years ago
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