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natali 33 [55]
3 years ago
11

12) A bag contains four red marbles and eight

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer: 8/12%   6/11%

Step-by-step explanation: so 4 red marbles and 8 blue marbles so in total that's 12 marbles so if you have 8 blue marbles you have a 3/4 chance of getting blue but only 1/4 chance of red

So 5 green marbles and 6 yellow marbles so in total that's 11 marbles so if you have 6 yellow marbles you have a 3/4 chance of getting yellow but only 1/4 chance of green

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NeX [460]
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3 0
3 years ago
Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065. New equipment is being
Ilya [14]

Answer:

Yes, the new equipment appear to be effective in reducing the variation of​ weights.

Step-by-step explanation:

We are given that Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065.

A simple random sample of 25 quarters is obtained from those manufactured with the new​ equipment, and this sample has a standard deviation of 0.047.

Let \sigma = <u><em>standard deviation of weights of new equipment.</em></u>

SO, Null Hypothesis, H_0 : \sigma \geq 0.065      {means that the new equipment have weights with a standard deviation more than or equal to 0.065}

Alternate Hypothesis, H_A : \sigma < 0.065      {means that the new equipment have weights with a standard deviation less than 0.065}

The test statistics that would be used here <u>One-sample chi-square</u> test statistics;

                           T.S. =  \frac{(n-1)s^{2} }{\sigma^{2} }  ~ \chi^{2}__n_-_1

where, s = sample standard deviation = 0.047

           n = sample of quarters = 25

So, <u><em>the test statistics</em></u>  =  \frac{(25-1)\times 0.047^{2} }{0.065^{2} }  ~  \chi^{2}__2_4   

                                     =  12.55

The value of chi-square test statistics is 12.55.

Now, at 0.05 significance level the chi-square table gives critical value of 13.85 at 24 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of chi-square as 12.55 < 13.85, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that the new equipment have weights with a standard deviation less than 0.065.

5 0
3 years ago
Which could be a conditional relative frequency table? A 4-column table with 3 rows. The first column has no label with entries
kotykmax [81]

Answer:

<u>II. Second table</u>

              A              B            Total

C           0.25         0.75          1.00

D           0.35         0.65          1.00

Total     0.30         0.70          1.00

Explanation:

<h2>Tables</h2>

<u>I. First table </u>

              A              B            Total

C           0.25          0.25          0.50

D           0.25          0.25          0.50

Total     0.50          0.25           1.00

<u>II. Second table</u>

              A              B            Total

C           0.25         0.75          1.00

D           0.35         0.65          1.00

Total     0.30         0.70          1.00

<u>III. Third table</u>

<u></u>

             A              B            Total

C          0.75         0.25          0.50

D          0.25         0.75          0.50

Total    0.50         0.50          1.00

<u>IV. Fourth table</u>

              A              B            Total

C          0.65         0.35         1.00

D          0.35         0.65          1.00

Total     1.00          1.00          1.00

<h2>Solution</h2>

A <em>conditional relative frequency table</em> shows the relative frequencies determined upon a row or column.

There are two types of relative conditional frequency table: 1) row conditional relative frequency, and 2) column conditional relative frequency.

When you divide the joint frequency by the marginal frequency of the column total you have the row conditional frequency table. When you dividethe joint frequency by the row total you have the colum conditional frequency table.

In a row conditional relative frequency each total of the right hand column equals 1. This is the case of the second table.

In a column conditional relative frequency each total of the bottom row equals 1. This is not happening with any of the shown tables.

Hence, only the second table could be a conditional relative frequency table.

5 0
3 years ago
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An investor buys $15,000 worth of stocks. The price of one kind of stock is $35 per share, and the price of the other kind of st
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Answer:

300

Step-by-step explanation:

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3 years ago
How many 2/3 cup servings are in 1½ cups of cheese?<br> lol I know this but I'm too lazy
melomori [17]

Answer:

2.25

Step-by-step explanation:

1.5 / 0.666 (repeating) = 2.25

8 0
3 years ago
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