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Harman [31]
3 years ago
9

13. Suppose the probability of passing a driving test is 65%. (a) On a certain afternoon 15 people are tested. (i) What is the e

xpected number of people who pass
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

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A jet flies over the Air Force Base at 10:20 a.m. At 10:32 a.m., the plane passes over the Navy Base Station, 120 miles away. Ho
m_a_m_a [10]

Answer:

10 miles per minute

Step-by-step explanation:

distance = speed x time

but we are working out the speed, so it is speed = distance/ time

it takes 12 minutes, so we do 120/ 12 which gives us 10

3 0
3 years ago
If there are 144 fruits in a box. And 1/8 are red apples and 1/4 are green apples and the rest are oranges. Than how many orange
Leviafan [203]
1/8 of 144= 18 (red apples). 1/4 of 144= 36 (green apples). Oranges = 36+18= 54, equal to 144-54= 90. Therefore, there are 90 oranges, and this is equal to 90/144, or 45/ 72 or 15/24 or 5/8. Hope this helps :)
3 0
2 years ago
How can 2, 4, 1, and 1/3 make 24?
Zarrin [17]

Answer:

They are all multiples of 24

Step-by-step explanation:

5 0
2 years ago
Write an equation perpendicular to 5x+6y=18 that passes through the point (10,7)
JulsSmile [24]

Answer:

Step-by-step explanation:

6y = -5x + 18

y = -5/6x + 3

perp slope: 6/5

y - 7 = 6/5(x - 10)

y - 7 = 6/5x - 12

y = 6/5x - 5

6 0
3 years ago
A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l
Vinil7 [7]

Answer:

\boxed{\text{12 h 20 min}}

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms.  Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}

So

\begin{array}{rcl}S_{8}& = & \dfrac{8(75 +110)}{2}\\& = & 4 \times 185\\& = & \text{740 min}\\& = & \textbf{12 h 20 min}\\\end{array}\\\text{The total length of all eight movies is }\boxed{\textbf{12 h 20 min}}

4 0
3 years ago
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