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madreJ [45]
2 years ago
13

NEED ANSWERS ASAP

Mathematics
1 answer:
NARA [144]2 years ago
5 0
The answer is 54 pi in^3. All you have to do is multiply 3x3, then multiply that by 6 and you get the answer 54.
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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
2 years ago
The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the
Mekhanik [1.2K]

Step-by-step explanation:

A transformation(s) of a parent function is

f(x) = a(bx - c) + d

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

y =  \tan(x)

First, we stretched this by 7

so we have

y = 7 \tan(x)

We need to shift this 12 units to the left so we have

y = 7 \tan(x + 12)

We need to reflect this across x axis so we get

y =  - 7 \tan(x + 12)

We need to shift this downwards 15 so we get

y =  - 7 \tan(x + 12)  - 15

or because tan is a odd function you could say

7 \tan( - (x + 12) ) - 15

7 \tan( - x  - 12)  - 15

6 0
2 years ago
Please help me I need help with answer
Rufina [12.5K]

Answer:

+30 + -25

Savings is positive

Buying is negative

Step-by-step explanation:

We save 30 dollars

+30

We buy a game for 25

-25

+30 -25

Savings is positive

Buying is negative

7 0
2 years ago
Which polygon has an interior angle sum of 1080
Crank
Octagon has 8 sides so the sum of the angles of the octagon is 180(8-2)=180 (6)=1080 degrees
5 0
3 years ago
Read 2 more answers
The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 day
ivolga24 [154]

Answer:

After 8 days, the stock lost 32 dollars.

Step-by-step explanation:

If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.

5 0
2 years ago
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