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Anton [14]
4 years ago
15

the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do

g eating contest are 2:9​
Mathematics
2 answers:
Ivahew [28]4 years ago
5 0

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

  • Determine the probability that Frank will win the contest,
  • Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}

So, total outcomes = 2 + 9 = 11,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability that Frank will win the contest = \frac{2}{11}

And,

The probability that Frank will win the contest = \frac{9}{11}

My name is Ann [436]4 years ago
5 0

Answer:

1. 18.2 %

2. 81.8 %

Step-by-step explanation:

The following information is missing:

  1. <em>Determine the probability that Frank will win the contest</em>
  2. <em>Determine the probability that Frank will not win the contest</em>

The odds are 2:9, that means 2 favorable outcomes and 9 unfavorable outcomes, which means that the total possible outcomes are 9+2 = 11

To probability of winning is: favorable outcomes/total possible outcomes  = 2/11 = 0.182 or 18.2%

To probability of not winning is: unfavorable outcomes/total possible outcomes  = 9/11 = 0.818 or 81.8%

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B. x ≤ 2.5

Step-by-step explanation:

a and d say 3 which is wrong

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5 0
3 years ago
Solve for x.<br> 3(2x + 5) = 33
Umnica [9.8K]

Answer:

x = 3

Step-by-step explanation:

3(2x + 5) = 33

3 * 2x + 3 * 5 = 33

6x + 15 = 33

6x = 33 - 15

x = 18 / 6

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6 0
3 years ago
Here is a triangular pyramid and its net.
galben [10]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

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