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1 year ago

Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does

Mathematics

1 answer:

grigory [225]1 year ago

7 0

Answer:

The more experiments that are done, the more the theoretical trend is marked

Step-by-step explanation:

The first thing is to define each probability,

-Theoretical probability is a proportion that expresses the ways to be successful in the total events of an experiment.

-Experimental probability is the proportion of the proposed result for the number of experimental attempts.

Based on this, the reason that best supports this is that the more the experiment is repeated, the closer the experimental probability gets to the theoretical one, since as the number of attempts increases, it tends to go more to what theoretically is what would happen.

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What is the measure of j

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Your answer is j= 54. J + 86 + 40 = 180

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When Ms. Sugar turned on her oven, the temperature inside was 70 degrees Fahrenheit. The temperature began to rise at a rate of

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It would take fourteen minutes

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Sum of positive roots of the equation (x2 - 12x + 35) (x2 + 10x + 24) = 504 is

Digiron [165]

Answer:

(3)11

Step-by-step explanation:

We are given that

$(x^2-12x+35)(x^2+10x+24)=504$

We have to find the sum of positive roots of the equation.

$x^2(x^2+10x+24)-12x(x^2+10x+24)+35(x^2+10x+24)=504$

$x^4+10x^3+24x^2-12x^3-120x^2-288x+35x^2+350x+840=504$

$x^4-2x^3-61x^2+62x+840-504=0$

$x^4-2x^3-61x^2+62x+336=0$

Factor of 336

2,3,4,6,8,7,

Let x=2

$2^4-2^4-61(2^2)+62(2)+336\neq0$

x=2 is not the root of equation

x=-2

$(-2)^4-2(-2)^3-61(-2)^2+62(-2)+336=0$

Hence x=-2 is the root of equation.

x+2 is a factor of equation.

x=3

$3^4-2(3^3)-61(3^2)+62(3)+336=0$

Therefore, x=3 is the root of equation.

$(x+2)(x-3)(x^2-x-56)=0$

$(x+2)(x-3)(x^2-8x+7x-56)=0$

$(x+2)(x-3)(x(x-8)+7(x-8))=0$

$(x+2)(x-3)(x-8)(x+7)=0$

$x-8=0\implies x=8$

$x+7=0\implies x=-7$

Positive roots are 3 and 8

Sum of positive roots=3+8=11

Option (3) is true.

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1 year ago

Ray has an odd number of cats. he also has an even number of dogs.

adell [148]

Their sum would be of odd number....

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2 years ago

A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an

Nina [5.8K]

Answer:

The answer is explained below

Step-by-step explanation:

STEP 1

Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.

STEP 2

Manager can define the performance of a product using defects per million units DPMO metric

DPMO can be find by using

DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000

= 1500 - 1477/ 1 x 1500* 1,000,000

= 23/1500

= 15,333,33

The defect rate of the process can be find by

Defect rate = No. of defects/ No. of units * 100

= 1500 - 1477/1500 * 100

= 23/1500 * 100

= 1.53%

Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.

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