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SpyIntel [72]
3 years ago
11

A fair number cube with faces numbered 1 through 6 was rolled 50 times. The cube landed with the number 2 up 10 times

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Each time its rolled it has a 1/6 chance of rolling a two. Out of 50, it should come up as 2 about 8.33 percent of the time. That is the theoretical probability. However, it came up as two 10 of the 50 times, or 20 percent. The difference is about 11.67

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HELP WILL GIVE BRAINLIEST IF CORRECT
mart [117]

Answer:

B. No, the remainder is -50.

General Formulas and Concepts:

<u>Algebra I</u>

  • Roots are when the polynomial are equal to 0

<u>Algebra II</u>

  • Synthetic Division

Step-by-step explanation:

<u>Step 1: Define</u>

Function f(x) = x³ - 10x² + 27x - 12

Divisor/Root (x + 1)

<u>Step 2: Synthetic Division</u>

<em>See Attachment.</em>

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

<em>Please excuse the bad handwriting. Hope this helped!</em>

6 0
4 years ago
Assume that the wooden triangle shown is a right triangle.
77julia77 [94]

a.

a^2 + b^2 = c^2

The legs are a and b. c is the hypotenuse.

Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y

The equation is:

(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2

b.

Now we square each binomial and combine like terms on each side.

36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2

36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2

100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2

The two sides are equal, so it is an identity.

4 0
3 years ago
Read 2 more answers
Use the quadratic formula to solve the equation.<br><br>-3x^2 - x - 3 = 0
vredina [299]

Answer:  -1 ± <em>i</em>√35

                  ⁻⁻⁻⁻⁻⁻⁻⁻

                     6

Step-by-step explanation:

From the quadratic equation,

X =  -b ±√b² - 4ac

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

             2a

From the given equation, -3x² - x - 3 = 0

where a = -3, b = -1, c = -3

Now substitute for the values in the formula above

x = -(-1) ± √(-1)² - 4(-3)(-3)

      ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

                   2(-3)

x = 1 ± √ 1 - 36

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

           -6

x = 1 ±  √ -35

     ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

           -6

x = -1  ±  <em>i√35   this is because it has a negative root.</em>

<em>       ⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻</em>

<em>            6</em>

<em> The answer is b</em>

   

8 0
3 years ago
Whats 27 x 300 / 34 x 6
Angelina_Jolie [31]

Answer:

Use Calculator:

Approximately. 1429.411

Step-by-step explanation:

Hope it Helps!!!

7 0
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elect the proper interpretation of a confidence interval for a mean at a confidence level of C % . a range of values produced by
Gnesinka [82]

Answer:

a range of values such that the probability is C % that a rndomly selected data value is in that range

Step-by-step explanation:

complete question is:

Select the proper interpretation of a confidence interval for a mean at a confidence level of C % .

a range of values produced by a method such that C % of confidence intervals produced the same way contain the sample mean

a range of values such that the probability is C % that a randomly selected data value is in that range

a range of values that contains C % of the sample data in a very large number of samples of the same size

a range of values constructed using a procedure that will develop a range that contains the population mean C % of the time

a range of values such that the probability is C % that the population mean is in that range

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