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MAVERICK [17]
3 years ago
15

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she

will win first prize
Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer: \dfrac{11}{12}

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}

Probability of non-occurrence i.e. she wins the first prize is

\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}

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pogonyaev
40*60=2400
1/2 of 2400
=1200
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3 years ago
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A circle has center at –6 + 2i and a point on the circle at 4 + 26i. Which of the following points is also on the circle?
Alenkasestr [34]
Answer:
–16 – 22i
Step-by-step explanation:
The radius of the circle = 4 + 26i - (-6 + 2i)
= 10 + 24i.
The radius will be the absolute values of this |10 + 24i|.

If a point is on the circle then it's distance from the centre must be 10+ 24i.
-19 + 15i - (-6 + 2i) = -13 - 13i , so this is not on the circle.
-16 - 22i - (-6 + 2i) = -10 - 24i = |10 + 24i| , so this is on the circle.
5 + 16i - (-6 + 2i) = 11 + 14i , so this is not on the circle.
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3 0
2 years ago
Marvin used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer an
Llana [10]

For Marvin used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $2,595.9 to live on during the next two semesters of school. Marvin will receive a scholarship each semester for $958.35 money can Marvin spend each month, on average, for things like groceries, entertainment, and miscellaneous items is mathematically given as  

$4512.6

<h3>How much money can Marvin spend each month, on average, for things like groceries, entertainment, and miscellaneous items?</h3>

Savings with Marvin = $2,595.9

Scholarship amount  = $958.35

Total Scholarship amount received in 2 semesters = $958.35 X 2 = $ 1916.7

Now total money that Paolo have = (Savings with Marvin) + (Total Scholarship amount received in both semesters) = $2,595.9 + $1916.7 = $ 4512.6

Tuition & books cost  = $2000

Tuition & books cost for 2 semesters = $2000 X 2 = $4000

Housing cost for 2 semester contract =$1,000

Total expenses in books and housing = $4000+ $1000 = $5000

Money left with Marvin after Total expenses in books and housing = $ 4512.6 - $5000 = −487.4

This means he has overspent.

as no. of months in 2 semesters = 8

Amount that Marvin would be in debt each month = −487.4/8 = −$60.925

Read more about Arithmetic

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4 0
2 years ago
What is the greatest common factor of the pair of numbers?
geniusboy [140]
The answer is 66.
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3 0
3 years ago
Here are some summary statistics for the life spans of two breeds of cats.
stich3 [128]

Answer:

D: Mittens

Step-by-step explanation:

We are given;

Population mean;

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- Colorpoint shorthair: μ = 14

Population standard deviation;

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- Colorpoint shorthair: σ = 1

Sample mean;

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To find which cat had a longer lifespan, we need to find the z-score for both breeds and the one with the higher z-score is the one with longer lifespan.

Z-score formula is;

z = (x¯ - μ)/σ

For Fluffy the Abyssinian;

z = (13 - 12)/1.5

z = 0.667

For Mittens the colorpoint shorthair;

z = (15 - 14)/1

z = 1

Z-score of Mittens is higher and thus it has a longer lifespan.

4 0
3 years ago
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