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netineya [11]
3 years ago
12

The odds in favor of an event are 2:9 or 2/9. What are the odds against the event?

Mathematics
1 answer:
ddd [48]3 years ago
5 0

Answer:

Odds against the events are 7/9.

Step-by-step explanation:

It is given that:

Odds in favor of event = 2 : 9 or 2/9

Let,

These odds are out of 1.

The odds against the event would be

Odds against = 1 - 2/9

Odds against = \frac{9-2}{9}

Odds against = \frac{7}{9}

Therefore,

Odds against the events are 7/9.

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Of 24 employees at a local supermarket, 13 work as cashiers and 11 stock shelves. If 4 employees are selected at random to work
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Answer:

The required probability is, \simeq 0.06729

Step-by-step explanation:

Of 24 employees at a local supermarket, 13 work as cashiers  and 11 stock shelves. If 4 employees are selected at random to work overtime, then

P( all 4 are cashiers) = \frac{^{13}{C}_{4}}{^{24}{C}_{4}}

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4 0
3 years ago
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In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
ryzh [129]

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

4 0
3 years ago
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3 years ago
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Let p be 2p and q be 3q. The ratio formed by this will be

\sf \: p = 2 \\  \sf \: q = 3 \\ \sf \: p : q = 2 : 3

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