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dimulka [17.4K]
2 years ago
11

A five question multiple choice test has 4 choices for each question and only 1 correct answer each. What is the probability of

guessing at least 3 out of the 5 questions correctly?
Mathematics
1 answer:
crimeas [40]2 years ago
4 0

Answer:

Prob = 13/1024 = 0.0127

Step-by-step explanation:

Prob {A correct answer} = Correct option / Total options = 1/4

Prob {A wrong answer} = Wrong options / Total options = 3/4

Prob [3 answers correct] = P (3 correct ,& 2 wrong) or P (4 correct ,& 1 wrong) or P (5 correct, & no wrong)

= [ (1/4) x (1/4) x (1/4) x (3/4) x (3/4) ]  +  [ (1/4) x (1/4) x (1/4) x (1/4) x (3/4) ] + [ (1/4) x (1/4) x (1/4) x (1/4) x (1/4) ]

( 9/1024 ) + ( 3/1024 ) + ( 1/1024 )

13/1024 = 0.0127

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Lines L and M are parallel. Lines t^1 and t^2 are transversals. What is m<1 if m<4=65*? Justify your answer. (Ps- there is
Diano4ka-milaya [45]
The complete question in the attached figure

we know that
m∡4=65°
m∡4=m∡2---------> by internal alternate angles
m∡5=m∡3---------> by internal alternate angles

m∡1=180°-m∡2---------> 180°-65°--------> m∡1=115°

the answer is 
m∡1=115°

3 0
3 years ago
There are 3 bags each containing 100 marbles. Bag 1 has 75 red and 25 blue marbles. Bag 2 has 60 red and 40 blue marbles. Bag 3
jekas [21]

Answer:

0.4 ; 0.6125

Step-by-step explanation:

Given the following :

Bag 1 : 75 red ; 25 blue

Bag 2: 60 red ; 40 blue

Bag 3: 45 red ; 55 blue

Probability = (required outcome / Total possible outcomes)

A) since the probability of choosing each bag is equal :

BAG A:

P(choosing bag A) = 1 / total number of bags = 1/3 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (1/3 × 75/100) = 25/300

BAG B:

P(choosing bag B) = 1/3 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (1/3 × 40/100) = 40/300

BAG C:

P(choosing bag C) = 1/3

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (1/3 × 55/100) = 55/300

= (25/300) × (40/300) × (55/300) = (25 + 40 + 55)/300 = 120/300 = 0.4

2) What is the probability that the marble is blue when the first bag is chosen with probability 0.5 and other bags with equal probability each?

BAG A:

P(choosing bag A) = 0.5 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (0.5 × 75/100) = (0.5 * 0.75) = 0.375

BAG B:

P(choosing bag B) = (1-0.5) / 2 = 0.25 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (0.25 × 40/100) = (0.25 × 0.4) = 0.1

BAG C:

P(choosing bag C) = (1 - (0.5+0.25)) = 0.25

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (0.25 × 55/100) = 0.25 × 0.55 = 0.1375

= 0.1375 + 0.1 + 0.375 = 0.6125

7 0
3 years ago
The SKELD ship has 186 crewmates divided as evenly as possible into 8 teams. How many crewmates are in each team? Show your work
galben [10]

Answer:

There is 23 crewmates in a group i got this by dividing 186x8 but this number is uneven so i rounded :)

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2 years ago
Help please it’s scatter plots
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I can’t see the picture
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2 years ago
The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it
mash [69]

An expression that represents the perimeter of the rectangle would be:

P = 2(3n+2) + 2(n-1)

Hope this helps!

5 0
3 years ago
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