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lord [1]
2 years ago
9

If a multiple choice test consists of ​questions, each of which with of which only 1 is​ correct, ​(a) in how many different way

s can a student check off one answer to each​ question? ​(b) in how many ways can a student check off one answer to each question and get all the answers​ wrong? ​(a) The test can be answered in 25 ways.
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
3 0

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the  students can check off one answer to each question in 4^5 \ different \  ways

= 4 × 34 × 4 × 4 × 4

= 1024 different ways.

From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.

Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵

= 3 × 3 × 3 × 3 × 3

= 243 ways

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The square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole. Fraction: D
Igoryamba

Answer:

Fraction = \frac{19}{50}

Decimal = 0.38

Percent = 38%

Step-by-step explanation:

Number of shaded rectangles = 38

Total number of rectangles = 100

Fraction represented by the shaded area = \frac{\text{Number of blocks shaded}}{\text{Total number of blocks}}

                                                                     = \frac{38}{100}

                                                                     = \frac{19\times 2}{50\times 2}

                                                                     = \frac{19}{50}

Decimal form of the shaded area = \frac{38}{100} =  0.38

Percent of the shaded area = \frac{38}{100} = 38%

7 0
3 years ago
Solve each equation.<br> 1/3a = -5 a = ?<br> 12 - b = 12.5 b = ? <br> -0.1 = -10c c = ?
Rina8888 [55]

Answer:

a = -15, b = -.5, c = -1

Step-by-step explanation:

1/3a = -5 --> multiply each side with 3 --> a = -15

12 - b = 12.5 --> subtract 12 from both sides --> -b = .5 --> multiply each side with -1 to get b positive --> b = -.5

.1 = -10c --> multiply each side with -10 --> c = -1

8 0
3 years ago
Can someone please be nice enough and give me all the answer for these questions.
PSYCHO15rus [73]
1. 1/9 since you take all the "a"s in the words which is 2/18
2.2/9 same thing as above
3.18/18 since there is no "O" it's a trick question
4.3/9
5.5/6 since you don't count 6
6.1/2 and 1/2 coins are always 1/2 unless you flip twice
7.5/13
8.1/2 because 1,3,5 odd 2,4,6 even 
Hope that helps
8 0
3 years ago
The heights of women aged 20 to 29 follow approximately the N(64, 2.82) distribution. Men the same age have heights distributed
ivann1987 [24]

Answer:96.97

Step-by-step explanation:

Given

mean height of women \mu _w=64

Standard deviation of height \sigma _w=2.82

mean height of men \mu _=69.3

Standard deviation of height \sigma _m=2.71

P\left ( X

P\left ( \frac{x-\mu _w}{\sigma _w}\right )

P\left ( Z

i.e. 0.9697=96.97 %

4 0
3 years ago
I need to know the answers for a, b, and c for 23.
Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

5 0
3 years ago
Read 2 more answers
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