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Ksenya-84 [330]
3 years ago
10

Suppose 60% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just de

cision?
A. 0.3669
B. 0.3823
C. 0.6177
D. 0.6331
E. 0.8494
Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

D. 0.6331

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is 1−p, the probability of failure.

More than half of 10 jurors is 6, 7, 8, 9, and 10.  Find the probability of each.

If r = 6:

P = ₁₀C₆ (0.6)⁶ (0.4)⁴

P = 0.2508

If r = 7:

P = ₁₀C₇ (0.6)⁷ (0.4)³

P = 0.2150

If r = 8:

P = ₁₀C₈ (0.6)⁸ (0.4)²

P = 0.1209

If r = 9:

P = ₁₀C₉ (0.6)⁹ (0.4)¹

P = 0.0403

If r = 10:

P = ₁₀C₁₀ (0.6)¹⁰ (0.4)⁰

P = 0.0060

Therefore, the total probability is:

P = 0.2508 + 0.2150 + 0.1209 + 0.0403 + 0.0060

P = 0.6330

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Marcus borrowed 9000 from his bank to buy a car. The bank charged him a simple interest rate of 1.25%. By the time he paid back
snow_lady [41]

Answer:

2.5 years

Step-by-step explanation:

Given data

P=9000

r= 1.25%

A= 9281.25

The simple interest expression is given as

A=P(1+rt)

substitute

9281.25= 9000(1+0.0125*t)

9281.25=9000+112.5t

collect like terms

9281.25-9000=112.5t

281.25= 112.5t

t= 281.25/112.5

t= 2.5

Hence the time is 2.5 years

7 0
3 years ago
Sally had 7 stars and eric had 186 stars .he gave 27 to sally how many does he have left?
Ilya [14]
To solve this you can use subtraction
186-27=159 (for the amount Eric gave away)
So Eric has 159 stars left!
Hope this helped!!
3 0
3 years ago
Read 2 more answers
Select all the common denominators for 8/3 and 5/6 .......12, 24, 32, 36, 48
BabaBlast [244]
Hello.

The answer to your question is = 
12, 3 x 4 and 6 x 2.
24, 3 x 8 and 6 x  4.
36, 3 x 12 and 6 x 6.
48, 3 x 16 and 6 x 8.

So it's pretty much everything except for 32.
Have a great day!
6 0
4 years ago
Read 2 more answers
the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy mac
borishaifa [10]

Answer:

<h2><em>30page essay/min</em></h2>

Step-by-step explanation:

Speed is the change in distance of a body with respect to time.

Speed = Distance/Time

If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs

To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).

If 3 page essay = 6secs

x page essay = 60 secs

cross multiply

3*60 = 6x

180 = 6x

x = 180/6

x = 30

<em>This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.</em>

5 0
3 years ago
Find the volume of the prism.
Zigmanuir [339]

Answer:

The correct answer is first option.  270 m³

Step-by-step explanation:

Formula:

Volume of prism = Base area * Height

Area of triangle = bh/2  where b - base and h - height

From the figure we can see that height of prism = 36 m

Base is a right angled triangle with base 5 m and height = 3 m

<u>To find the Base area</u>

Area of triangle = bh/2 = (3 * 5)/2 = 15/2 = 7.5

<u>To find the volume of prism</u>

Volume = Base area * height = 7.5 * 36 = 270 m³

Therefore the correct answer is first option . 270 m³

7 0
3 years ago
Read 2 more answers
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