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3 years ago

Which shows one way to determine the factors of x^3-12x^2-2x+24 by grouping

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

Answer:

(x - 12)(x² - 2)

Step-by-step explanation:

Given

x³ - 12x² - 2x + 24 ( factor the first/second and third/fourth terms )

= x²(x - 12) - 2(x - 12) ← factor out (x - 12) from each term

= (x - 12)(x² - 2)

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Delta makes 12-volt car batteries. These batteries are known to be normally

blondinia [14]

Answer:

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

Step-by-step explanation:

Step(i):-

Given that the sample size n =12 -volt car batteries

Let 'X' be a Random variable in a normal distribution

Given that mean of the normal distribution = 45 months

Given that the Standard deviation of the normal distribution = 8months

Step(ii):-

Let X₁ = 3 years = 12 × 3 = 36 months

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{36-45}{8} = -1.125$

Let X₂ = 4 years = 12 × 4 = 48 months

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{48-45}{8} = 0.375$

Step(iii):-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = P(-1.125≤Z≤0.375)

= P(Z≤0.375) - P(Z≤-1.125)

= 0.5 +A(0.375) - (0.5-A(1.125)

= 0.5 + 0.1480 - (0.5 -0.3708)

= 0.1480 + 0.3708

= 0.5188

Final answer:-

The probability that Delta car batteries last between three and four years

P(36≤X≤48) = 0.5188

The percentage of that Delta car batteries last between three and four years

P(3≤X≤4) = 52%

5 0

3 years ago

Suppose cos(π/2−x) =3/5, cos x =4/5 find sin, tan, csc, sec, cot

Pani-rosa [81]

Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.

5 0

3 years ago

$1950 plus 15% is what

Fudgin [204]

15% of 1950 = 1950 * 0.15 = 292.5
So, sum would be: 1950 + 292.5 = 2242.5

In short, Your Answer would be $2242.5

Hope this helps!

6 0

3 years ago

Name the plane represented by the front of the box. BJC, DBF, GBF, or CAB

sladkih [1.3K]

Answer:cab

Step-by-step explanation:

8 0

3 years ago

Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers.

Viefleur [7K]

Answer:

5.9987174899

Step-by-step explanation:

9.654km / 1.609344

= 5.9987174899mi

4 0

3 years ago