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In-s [12.5K]
2 years ago
13

9x^3 - 12x^2 + 3x + 4​

Mathematics
1 answer:
Nina [5.8K]2 years ago
6 0

Answer:

(3x - 4) (3x^{2} + 1)

Step-by-step explanation:

can i have brainllest

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An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
2 years ago
Solve for the right triangle given only one side and angle
34kurt

Answer:

CD = √11 and CE = √11

Step-by-step explanation:

We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.

8 0
3 years ago
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What is the equation in point slope form of the line that passes through the point (2, 6) and has a slope of 5?
NNADVOKAT [17]
The equation in point slope is: y-y1=m(x-x1) y-6=5(x-2)
5 0
3 years ago
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Here is an equation for a circle: (x-3)^2 + (y+10)^2 = 81.
saw5 [17]

Answer: 2.

Step-by-step explanation: Write the equation of the circle using h = 2, k = –1, and r = ... (x – 1). 2. + y. 2. = 4 is a circle with center (1, 0) and a radius of 2.

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2 years ago
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Kaylis [27]

Hi there!

x=8

<u><em>1.Subtract the answer with the 3 / subtract the terms:</em></u>

<u><em /></u>2995-3=2992<u><em /></u>

<u><em>2.Divide the two terms:</em></u>

<u><em /></u>2992*374=x<u><em /></u>

Therefore, x=8

<u><em /></u>

3 0
2 years ago
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