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3 years ago

????????????????????????

Mathematics

1 answer:

gavmur [86]3 years ago

3 0

Answer:

$P(Sum = 9) = \frac{1}{9}$

Step-by-step explanation:

Given

Outcomes of rolling two dice

Required

P(Sum = 9)

From the given outcomes, we have:

$n(S) = 36$ -- the sample size

$Sum = 9:=\{(3,6),(4,5),(5,4),(6,3)\}$

So.

$n(Sum = 9) = 4$

The probability is:

$P(Sum = 9) = \frac{n(Sum = 9)}{n(S)}$

$P(Sum = 9) = \frac{4}{36}$

Simplify

$P(Sum = 9) = \frac{1}{9}$

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Which equation has a greater rate of change than the rate shown in the graph

Natali5045456 [20]

Answer:

Step-by-step explanation:

Rate of change of the graph is the slope of the line, which is ¼.

slope of y = ⅖x = ⅖ > ¼

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3 years ago

In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an

denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

$Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455$

$Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4$

Total number of possible results:

$results = 4*455\\results = 1820$

3 0

4 years ago

The length of a rectangular is 5 centimeters less then it width. The perimeter of the rectangle is 26

Zina [86]

Hi there! :)

Answer:

Length = 4 cm

Width = 9 cm

Step-by-step explanation:

Here's the information we know:

- Perimeter = 26 cm

- Width = x (I just replaced the width by "x" because it's what we are looking for)

- Length = x - 5

Now before we can do anything, you need to know what the formula for the perimeter of a rectangular is: P = (2 × Length) + (2 × Width)

Replace all the information you know in the formula and solve the equation by isolating "x":

P = (2 × Length) + (2 × Width)

26 = ( 2 × (x - 5)) + (2 × x)

Multiply "2" and "x" together → 2 × x = 2x

26 = ( 2(x - 5)) + 2x

Distribute the "2" to the entire parentheses → 2 × x = 2x & 2 × -5 = -10

26 = 2x - 10 + 2x

Add similar terms together → 2x + 2x = 4x

26 = 4x - 10

Add 10 to each side of the equation → 26 + 10 = 36

36 = 4x

Divide each side of the equation by 4 → 36 ÷ 4 = 9

9 = x ⇒ Measure of the width

Since the lenght is 5 centimeter less than the measure of the width, in order to find the measure of the length you'll need to subtract "5" from the measure of the width, which is "9":

9 - 5 = Length rectangle

9 - 5 = 4 ⇒ Length rectangle

There you go! I really hope this helped, if there's anything just let me know! :)

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4 years ago

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Answer:

19/41

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago