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Len [333]
3 years ago
13

Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the

probability that only one of them will pass their driving test.
Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

Pr(only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr(Ben pass) = 0.8

Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8

Pr(Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)

Pr(only one pass) = 0.24 + 0.14

Pr(only one pass) = 0.38

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A disjunction is a statement formed by combining two statements with the word and. True False
Zarrin [17]
A disjunction is a statement formed by combining two statements with the word and is FALSE.

Answer: B) False or the second option.
3 0
3 years ago
The change in altitude of a bird after 2 __ 1 2 seconds was –41 __ 1 4 feet. What was the average change in altitude of the bird
svlad2 [7]

Answer:

Average\ Change = -1\frac{7}{10} ft/s

Step-by-step explanation:

Given

Altitude\ Change = -4\frac{1}{4} \ ft

Time = 2\frac{1}{2}\ s

Required

Determine the average change

This is calculated as follows:

Average\ Change = \frac{Altitude\ Change}{Time}

This gives:

Average\ Change = \frac{-4\frac{1}{4}}{2\frac{1}{2}}

Average\ Change = -4\frac{1}{4}/2\frac{1}{2}

Convert to improper fractions

Average\ Change = -\frac{17}{4}/\frac{5}{2}

Convert to multiplication

Average\ Change = -\frac{17}{4}*\frac{2}{5}

Average\ Change = -\frac{17}{2}*\frac{1}{5}

Average\ Change = -\frac{17}{10}

Average\ Change = -1\frac{7}{10} ft/s

8 0
3 years ago
Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile.
Alborosie

Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

8 0
3 years ago
Help please?!?!?!?!?!?!?!?!?!?!?!?!
zubka84 [21]

PEMDAS.

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Lets apply that here.

72-[(3x2^3)+48]

So first we start with (3x2^3)

2^3=8

3*8=24

now we do 24+48 which equals 72

now we have 72-72 which equals zero.

So

72-[(3x2^3)+48] = 0

3 0
4 years ago
Read 2 more answers
Select Not independent or Independent for each situation. (3)
valentinak56 [21]

Answer:

A spinner is divided into three equally sized sections. The spinner is spun three times.

  • independent, since the outcome is not affected by previous spins.

A number cube is rolled twice.

  •   independent, since the outcome is not affected by previous rollings.

A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.

  • not  independent, since the new outcome depends on the balls that were drawn before.

Step-by-step explanation:

The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.

6 0
3 years ago
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