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3 years ago

At a competition with 5 runners

Mathematics

2 answers:

kenny6666 [7]3 years ago

7 0

Answer:

Permutation; number of ways = 60

Step-by-step explanation:

ankoles [38]3 years ago

5 0

Answer:

B: Permutation; Number of ways = 60

Step-by-step explanation:

First we have to decide if this is a problem of permutation or combination. The rule is:

If the order matters, permutations will be used
If order does not matter, combinations will be used

In this problem, they order of awarding the medals matters, so this is a permutation problem.

We have to award 3 medals among 5 runners. So this can be done in 5P3 ways:

$nPr=\frac{n!}{(n-r)!}\\ \\ so\\ \\ 5P3=\frac{5!}{(5-3)!}=60$

Therefore, there are 60 ways to award the medal. Therefore, the correct answer is B.

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The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviati

TiliK225 [7]

Answer: the probability the mean weight will exceed 2.1 ounces is 0.09

Step-by-step explanation:

Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 2

σ = 0.3

n = 16

x = 2.1

the probability that the mean weight will exceed 2.1 ounces is expressed as

P(x ≥ 2.1)

For x = 2.1

z = (2.1 - 2)/(0.3/√16) = 1.33

We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be

p = 1 - 0.91 = 0.09

P(x ≥ 2.1) = 0.09

6 0

3 years ago

29 - 3x F 5x + 5<br> The answer

barxatty [35]

Answer:

x=3

Step-by-step explanation:

29-3*x-(5*x+5)=0

5 0

3 years ago

I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many ga

lukranit [14]

Answer:

5 more games to be won for the 50% success rate.

Step-by-step explanation:

Total number games played = 500

Number of successful games = 49% of 500

= 500 × $\frac{49}{100}$

= 245

Number of successful games for the success of 50% = 500 × $\frac{50}{100}$

= 250

Therefore, number of game you have to win more = 250 - 245

= 5 games

4 0

3 years ago

4. What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Firdavs [7]

Answer:

Part 4) Right triangle

Part 5) Kite

Step-by-step explanation:

Part 4) What kind of triangle is made by connecting the points A(0, –6), B(3, –6), and C(3, –2)?

Using a graphing tool

see the attached figure N $1$

The triangle of the figure is not equilateral------> The triangle does not have three equal sides

The triangle of the figure is a right triangle------>The triangle has an angle of $90\°$

The triangle of the figure is not isosceles------> The triangle does not have two equal sides

The triangle of the figure is not a right and isosceles

Part 5) What type of quadrilateral is formed by connecting the points $(0, 9), (3, 6), (0, 1), and (-3, 6)$ ?

Using a graphing tool

see the attached figure N $2$

The figure is not a rhombus------> All sides are not congruent

The figure is not a trapezoid-----> has not parallel sides

The figure is a kite------> Two disjoint pairs of consecutive sides are congruent and the diagonals meet at a right angle

6 0

3 years ago

What is a square root?

Vlad [161]

Number that produces a specified quantity when multiplied by itself
Example : “ 7 is a square root of 49 “ BECAUSE 7x7=49

6 0

3 years ago

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