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algol13
3 years ago
13

Ms. McClain conducted an experiment

Mathematics
1 answer:
joja [24]3 years ago
8 0

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

 

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Solve each equation 3x^2=80
Lapatulllka [165]

Answer:

x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

or

x = \frac{\pm4\sqrt{15}}{3}

Step-by-step explanation:

Hello!

Use the quadratic formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0

3x² = 80

3x² - 80 = 0

Note, thats the value of b will be 0, as there is no "bx"

Now, solve:

  • x = \frac{-(0) \pm \sqrt{(0)^2 - 4(3)(-80)}}{2(3)}        Plug in values
  • x = \frac{\pm\sqrt{960}}{6}                              Simplify the radical (Discriminant)
  • x = \frac{\pm8\sqrt{15}}{6}                              Pull out perfect squares
  • x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}              Reduce factors

 

The solutions are x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

5 0
2 years ago
Subtract x3 – 7x2 + 3 from the sum of - 3x3 + x2 and – x2 + 4x - 3.
Vesnalui [34]

Answer:

x3 – 7x2 + 3------  x3 - 7x2 + 3

3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((x3) -  7x2) +  3

Step  2  :

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(x) = x3-7x2+3

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -5.00      

     -3       1        -3.00        -87.00      

     1       1        1.00        -3.00      

     3       1        3.00        -33.00    

Hope this helps.

3 0
3 years ago
Read 2 more answers
I need help figuring out when to use law of sine or law of cosine?
irina [24]
When you have angle and its corresponding (opposite) side then you need to use law of  sin. Problems 3,4,5(in 5 you need at first find angle X=180-92-62)


when you have two sides and angle between them, this is law of cos, problem 6,8

problem 7 you can use both, but if you can use both better to use law of sin, it is just easier
4 0
3 years ago
A choral conductor has 1648 singers in her choir, some of them are professional singers. The conductor wants to estimate what pe
alina1380 [7]

Answer:

B. entire singers

Step-by-step explanation:

A population consists of all subjects that are being studied.

The total number of singers the choral conductor choral conductor  has in her choir is 1648.

The 1648 singers refers to the entire subject being studied

Therefore the population is the entire singers.

The correct answer is B.

4 0
3 years ago
What are the accounting concepts
qwelly [4]
The accounting concepts are business entity, going concern, historical cost, conservatism, consistency etc.
5 0
3 years ago
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