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Alex73 [517]
3 years ago
7

A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the p

robability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain your answer.
Mathematics
1 answer:
Schach [20]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that a student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question.

Since each question has 5 choices p = probability for success = pr for getting correct guess = 0.2

Each question is independent of the other and q= pr for failure =1-0.2=0.8

Hence we have X, no of correct questions in the test is binomial n =20 and p =0.2

the probability of guessing at least 15 out of 20 correctly

= P(x=15)\\=20C15 (0.2)^{15} (0.8)^5

<0.00001

So we can consider this event  unlikely to occur because the probability is almost zero.

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A meteorologist recorded the rainfall in Oakdale in two consecutive months. In the first month, there were 1 6/12 inches of rain
baherus [9]

Answer:

There were 2 1/2 inches of rain in 2 months.

Step-by-step explanation:

1. Reduce 1 6/12 to 1 1/2.

2. Add 1 1/2 and 1 (if it is easier for you to add decimals you can reduce the 1 1/2 to 1.5 by dividing 1 by 2. In that case you would get 2.5 as your final answer). The answer is 2 1/2.

8 0
2 years ago
-2 (4x-9) = -18 ×=___​
Dahasolnce [82]

Answer:

x = 9/2 or 4 1/2 or 4.5

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve. Hope this helped :)!

5 0
3 years ago
Allowance method entries
Feliz [49]

Using the Allowance Method, the relevant transactions can be completed in the books of Wild Trout Gallery as follows:

1. <u>Allowance for Doubtful Accounts</u>

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance          $56,500

Dec. 31 Bad Debts Expenses                   $55,470

Totals                                        $116,005  $116,005

<u>Accounts Receivable</u>

Accounts                                          Debit               Credit

Jan. 1 Beginning balance           $2,290,000

Jan. 19 Allowance for Doubtful           2,560

Jan. 19 Cash                                                            $2,560

Apr. 3  Allowance for Doubtful                                14,670

July 16  Allowance for Doubtful                              19,725

July 16  Cash                                                             6,575

Nov. 23  Allowance for Doubtful         4,175

Nov. 23 Cash                                                             4,175

Dec. 31  Allowance for Doubtful                             25,110

Dec. 31   Sales Revenue            8,020,000

Dec. 31   Cash                                               $8,944,420

Dec. 31 Ending balance                                 $1,299,500

Totals                                        $10,316,735 $10,316,735

3. Expected net realizable value of the accounts receivable as of December 31 = $1,243,000 ($1,299,500 - $56,500)

Allowance for Doubtful Accounts ending balance = $40,100 ($8,020,000 x 0.5%)

<u>Allowance for Doubtful Accounts</u>

Accounts                                          Debit       Credit

Jan. 1 Beginning balance                             $53,800

Jan. 19 Accounts Receivable                           2,560

Apr. 3 Accounts Receivable       $14,670

July 16 Accounts Receivable        19,725

Nov. 23 Accounts Receivable                         4,175

Dec. 31 Accounts Receivable       25,110

Dec. 31 Ending balance           $40,100

Dec. 31 Bad Debts Expenses                  $39,070

Totals                                        $99,605   $99,605

4. a. Bad Debt Expense for the year = $39,070

4.b. Balance for Allowance Accounts = $40,100

4.c. Expected net realizable value of the accounts receivable = $1,259,400 ($1,299,500 - $40,100)

Data Analysis:

Jan. 19 Accounts Receivable $2,560 Allowance for Uncollectible Accounts $2,560

Jan. 19 Cash $2,560 Accounts Receivable $2,560

Apr. 3 Allowance for Uncollectible Accounts $14,670 Accounts Receivable $14,670

July 16 Cash $6,575 Allowance for Uncollectible Accounts $19,725 Accounts Receivable $26,300

Nov. 23 Accounts Receivable $4,175 Allowance for Uncollectible Accounts $4,175

Nov. 23 Cash $4,175 Accounts Receivable $4,175

Dec. 31 Allowance for Uncollectible Accounts $25,110 Accounts Receivable $25,110

Accounts Receivable ending balance = $1,299,500

Allowance for Uncollectible Accounts ending balance = $56,500

Learn more: brainly.com/question/22984282

4 0
3 years ago
Direct Variation
Masja [62]

Answer:

d.233 is the answer

Step-by-step explanation:

hope it helps you

3 0
3 years ago
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Answer:

(3,3)

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x=(5+1)/2=3

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