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Citrus2011 [14]

3 years ago

9

I need the Combination( probability) of this problem.

1 answer:

coldgirl [10]3 years ago

8 0

Check attached image file.

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Please tell me the answers and how you got them step by step

kupik [55]

Keep in mind we'll convert the mixed fractions to "improper" and then proceed, also keep in mind that minus times minus is plus,

$\bf -5-\cfrac{5}{3}\impliedby \stackrel{LCD}{3}\implies \cfrac{(-5\cdot 3)-(5\cdot 1)}{3}\implies \cfrac{-15-5}{3}\implies \cfrac{-20}{3}
\\\\\\
{-6\frac{2}{3}}\\\\
-------------------------------\\\\
-1\frac{1}{3}-1\frac{2}{3}\implies -\cfrac{1\cdot 3+1}{3}-\cfrac{1\cdot 3+2}{3}\implies -\cfrac{4}{3}-\cfrac{5}{3}$

$\bf \stackrel{LCD}{3}\implies \cfrac{-4-5}{3}\implies \cfrac{-9}{3}\implies -3\\\\
-------------------------------\\\\
-\cfrac{1}{2}-\left(-\cfrac{5}{9} \right)\implies -\cfrac{1}{2}+\cfrac{5}{9}\impliedby \stackrel{LCD}{18}\implies \cfrac{(-1\cdot 9)+(5\cdot 2)}{18}
\\\\\\
\cfrac{-9+10}{18}\implies \cfrac{1}{18}$

7 0

3 years ago

Cuboid ABCDEFGH is shown

gtnhenbr [62]

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

$tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}$

$tan\angle ACF = \dfrac{FA}{AC}$

In a cuboid, FA = BG = CH = DE = 9.3

$\therefore tan\angle ACF = \dfrac{9.3}{8.63}$

$\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}$

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0

3 years ago

Quadrilateral is a rectangle with vertices D(–8, 2), E(2, 7), F(5, 1), and G(–5, –4). Find the area of the rectangle.

Katarina [22]

The answer would be C

8 0

3 years ago

What percent of 99.2 is 91

olya-2409 [2.1K]

To find percent, you take 91 and divide it by 99.2 then multiply by 100.

(91/99.2) × 100 = 91.92%

7 0

3 years ago

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumpe

lakkis [162]

If there were 49 cars in a line that stretched 528 feet, what is the average car length? assume that the cars are lined up bumper-to-bumper

Answer: We are given there are 49 cars

Also these 49 cars are in a line stretched 528 feet.

Now the average length of the car is:

Average length = $\frac{(length-covered-by-49-cars)}{Number-of-cars}$

= $\frac{528}{49}=10.78$

Therefore, the average length of car is 10.78 feet

6 0

3 years ago