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Romashka [77]
3 years ago
10

A target with the diameter of 14 cm has 4 scoring zones formed by concentric circles. the diameter of the center circle is 2 cm.

The width of each ring is 2 cm. A dart hits the target at a random point. Find the probability that it will hit in the blue region.
The probability that a dart will hit a point in the blue region is about ____.
(Round to tree decimal places as needed.)​

Mathematics
2 answers:
Lelu [443]3 years ago
6 0

Answer:

.327

Step-by-step explanation:

faltersainse [42]3 years ago
5 0
Answer my question and I’ll answer yours
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Suppose that 40 percent of the drivers stopped at State Police checkpoints in Storrs on Spring Weekend show evidence of driving
lesantik [10]

Answer:

a) 0.778

b) 0.9222

c) 0.6826

d) 0.3174

e) 2 drivers

Step-by-step explanation:

Given:

Sample size, n = 5

P = 40% = 0.4

a) Probability that none of the drivers shows evidence of intoxication.

P(x=0) = ^nC_x P^x (1-P)^n^-^x

P(x=0) = ^5C_0  (0.4)^0 (1-0.4)^5^-^0

P(x=0) = ^5C_0 (0.4)^0 (0.60)^5

P(x=0) = 0.778

b) Probability that at least one of the drivers shows evidence of intoxication would be:

P(X ≥ 1) = 1 - P(X < 1)

= 1 - P(X = 0)

= 1 - ^5C_0 (0.4)^0 * (0.6)^5

= 1 - 0.0778

= 0.9222

c) The probability that at most two of the drivers show evidence of intoxication.

P(x≤2) = P(X = 0) + P(X = 1) + P(X = 2)

^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2  (0.4)^2  (0.6)^3

= 0.6826

d) Probability that more than two of the drivers show evidence of intoxication.

P(x>2) = 1 - P(X ≤ 2)

= 1 - [^5C_0  (0.4)^0  (0.6)^5 + ^5C_1  (0.4)^1  (0.6)^4 + ^5C_2 * (0.4)^2  (0.6)^3]

= 1 - 0.6826

= 0.3174

e) Expected number of intoxicated drivers.

To find this, use:

Sample size multiplied by sample proportion

n * p

= 5 * 0.40

= 2

Expected number of intoxicated drivers would be 2

7 0
3 years ago
Becca has saved 25% of the money that she needs to buy a new tennis racket. If she has saved $21 jow much money does the tennis
nexus9112 [7]
Let x be the entire portion of the money Becca needs to save to buy a new tennis racket.

So, 0.25x=$21

x=$21/0.25
x=$84

Thus, the total amount she needs to save is $84. Now, we'll deduct 25 from 84 to get the 75 percent or the remaining amount she has to save.

$84-$21=$63

The answer is $63.
6 0
3 years ago
Read 2 more answers
Val returned a bicycle while she was on vacation. She paid a flat rental fee of $55.00 plus $8.50 each day. The total cost was $
never [62]

Number of days Val rented the bicycle is 8

<h3><u>Solution:</u></h3>

Given that val paid a flat rental fee of $55.00 plus $8.50 each day

The total cost was $123

To find: number of days she rented the bicycle

Let "a" be the number of days she rented the bicycle

Rental fee = $55.00

Fee for one day = $ 8.50

So total cost is equal to rental fee and fee for "a" days

Total cost = rental fee + (number of days she rented the bicycle x Fee for one day)

123 = 55.00 + (a \times 8.50)

123 = 55 + 8.50a

123 - 55 = 8.50a

8.50a = 68

a = \frac{68}{8.50} = 8

Thus number of days she rented the bicycle is 8

4 0
3 years ago
What are some ways in which you are surrounded by political messages?
stiks02 [169]

life: people tell others all the time how they feelwhethe it is appropriate or not.

7 0
2 years ago
Find the midpoint of points A(-7,-6) and B(1,-10) graphically.​
mixas84 [53]
-3, -8 i think lmk .
4 0
3 years ago
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