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laila [671]
3 years ago
8

what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.

Mathematics
2 answers:
brilliants [131]3 years ago
6 0

Answer:

\frac{1}{7776}

Step-by-step explanation:

So , if you read the question clearly  it says  "probability of rolling "6" 5 times

what that tells you is that in a simple term is that , How many possible outcomes are there if you roll a dice 5 times to land on 6s: 6 outcomes per dice raised to the power of 5 (dice). \frac{1}{6}⁵

Step 1 = \frac{1}{6} * \frac{1}{6} * \frac{1}{6} * \frac{1}{6}* \frac{1}{6}

Step 2 = multiply all the nominators 1*1*1*1*1 = 1

Step 3 = multiply all the denominators 6*6*6*6*6 = 7776

Final Answer = There are 7776 equally possible outcomes

Therefore, the probability of rolling 6 five times in a row is \frac{1}{7776}

qaws [65]3 years ago
5 0

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling   a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

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F(x)=99, what is x?
Lady bird [3.3K]

The answer is x = 10, and it could alternatively be x = -10 depending on what topic this is and if negatives apply.

x^2 - 1 = 99
Add 1 to both sides.
x^2 = 100
Square root both sides
x = 10

Like this answer? Give it a Brainiest award if so.

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3 years ago
Which of the following is a multiple of 4?
Alex17521 [72]
2 × 2 is a multiple of 4 thats abould all you can do besides 4 × 1.
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Which of the following best represents the dependent quantities in the graph below?
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Answer:

C

Step-by-step explanation:

Dependent quantity = y-value

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What is the slope of the line that passes through the points (4,10) and (1,10) in simplest form​
GuDViN [60]

Answer:

0

Step-by-step explanation:

We can find the slope by using

m = (y2-y1)/(x2-x1)

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7 0
4 years ago
Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25
sergey [27]

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

<h3>What are the coordinates of vertex for a quadratic function?</h3>

For a quadratic function of the form y = ax^2 + bx + c, its vertex form is obtained as:

y = ax^2 + bx + c\\y  =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2  )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c

For the form y = a(x-h)^2 + k, the vertex has coordinates (h, k)

Thus, for the obtained equation y = a(x+b/2a)^2 - a \times (b/2a)^2 + c, we get the coordinates of vertex as:

h = -b/2a, k = c - a\times(b/2a)^2

Thus, the coordinates of vertex of  y = ax^2 + bx + c is:

(h,k) = (-b/2a, c - a \times (b/2a)^2 )

The missing steps of work of Jan'ai are:

  1. Begin to write a function in factored form. f(x) = a(x+1)(x-5)
  2. Substitute x = 0, y = f(x) =  -25 to determine a. -25 = a(0+1)(0-5)
  3. Simplify and solve to find a. a=5
  4. Rewrite the function. f(x) = 5(x+1)(x-5)
  5. Rewrite in standard form. f(x) = 5x^2-20x-25
  6. Find the x-coordinate of the vertex. x = -20/2(5) = -20/10; x = -2
  7. Find the y-coordinate of the vertex.

y = 5x^2-20x-25

y = 5(-2)^2-20(-2)-25

y = 35

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function f(x) = 5x^2-20x-25,

Comparing this to f(x) = ax^2 + bx + c, we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

brainly.com/question/9912128

6 0
3 years ago
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