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V125BC [204]
2 years ago
13

Peter guesses on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices, and Peter needs to get at least

7 questions correct to pass. Here are some probabilities computed using the binomial formula: P(getting exactly 7 correct) = 0.0031 P(getting exactly 8 correct) = 0.000386 P(getting exactly 9 correct) = 2.86 × 10−5 P(getting exactly 10 correct) = 9.54 × 10−7 Using the information on the left, combine the individual probabilities to compute the probability that Peter will pass the quiz.
Mathematics
1 answer:
zhuklara [117]2 years ago
6 0
The answer is C. 0.0035
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The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0
2 years ago
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Consider the lengths of stay at a hospital’s emergency department. Hours Count Percent 1 18 3.44 2 55 10.50 3 81 15.46 4 109 20.
Vladimir [108]

Answer:

Probability = 0.502

Step-by-step explanation:

We are given the following data :

 Hours         Count            Percent

  1                    18               3.44

  2                    55              10.50

  3                    81               15.46

  4                    109             20.80

  5                     88              16.79

  6                     66              12.60

  7                     39               7.44

  8                     17                3.24

  9                     17                3.24

  10                   19                3.63

   15                  15                2.86

We need to calculate the probability

P(Length of stay of exactly 1 is less than or equal to 4)

P(Y \leq 4) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)

P(Y \leq 4) = 0.0344 + 0.1050 + 0.1546 + 0.2080 = 0.502

We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.

8 0
2 years ago
wes has six errands to run (picking up the dry cleaning, going to the grocery store, getting gas, going to the bank, going to th
ss7ja [257]
If you did 1*2*3*4*5*6 it's 720
4 0
2 years ago
Read 2 more answers
For which segment lengths is AC¯¯¯¯¯ parallel to DE¯¯¯¯¯ ?
Kruka [31]

Answer:


Step-by-step explanation:

By triangle theorem for similarity we have

AC||DE if and only if

the ratios

\frac{AD}{BD}=\frac{CE}{EB}

Option I:

Here we find the ratios are equal to 1/2

Hence parallel

OPtion 2:

Here we get both ratios equal to 2/3 Hence parallel

Option 3:

Here we get I ratio =2/5 and II ratio =4/7

Since the two are not equal we get not parallel

4 0
2 years ago
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In a survey conducted with 600 participants across the United States, 450 were found to have studied science in college. If we w
Dahasolnce [82]
Confidence interval of a population proportion is given by p^ + or - sqrt(p^(1 - p^)/n); where p^ = 450/600 = 0.75 and n = 600
99.7% convidence interval = 0.75 + or - 2.96 x sqrt(0.75(1 - 0.75)/600) = 0.75 + or - 2.96 x sqrt(0.75(0.25)/600) = 0.75 + or - 2.96 x 0.0177 = 0.75 + or - 0.0524 = 0.697 to 0.803 = 69.7% to 80.3%
7 0
2 years ago
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