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Ymorist [56]
3 years ago
11

Why is the first step in solving the inequality to use the Distributive Property instead of working inside the parentheses?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0
Because it makes sure that you do it on both sides.
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An analytical laboratory is asked to evaluate the claim that the concentration of the active ingredient in a specimen is 86%. Th
Olenka [21]

Answer:

Decision rule

   Reject null hypothesis

Conclusion

There is significance evidence that the true mean is different from 0.86

Step-by-step explanation:

From the question we are told that

  The population mean   \mu  = 0.86

   The  sample is  mean is \=  x  =  0.8708

  The standard deviation is  \sigma =  0.0068

The  level of significance is  \alpha  =  0.01

  The  sample size n =  3

The null hypothesis is  \mu =  0.86

The alternative hypothesis  is \mu \ne  0.86

Generally the test statistics is mathematically represented as  

    z =  \frac{\=  x  - \mu }{ \frac{\sigma}{\sqrt{n} } }

=> z =  \frac{ 0.8708 - 0.86 }{ \frac{0.0068}{\sqrt{3} } }

=>  z =  2.751  

Generally  p- value is mathematically represented as

       p-value =  2 P(z >2.751   )

From the z-table  

        P(z >2.751 ) =  0.0029707

So

     p-value =  2 *  0.0029707

=>   p-value =  0.00594

From the obtained question we see that  p-value  <  \alpha

Hence we reject the null hypothesis

 

6 0
3 years ago
Can you make four mines equal 100
kotegsom [21]
A person can make 100 using the digit 9 four times in an equation.<span> The equation for this math problem is: 99 + (9 / 9) = 100. This solution works because 9 divided by 9 equals 1, and 99 plus 1 equals 100</span>
4 0
3 years ago
A hiker is walking through a flat meadow, observing a mountain in
melomori [17]

Answer:

Un excursionista camina por un prado llano, observando una montaña a

lo lejos. Mide que el ángulo de elevación entre el suelo

y la cima de la montaña es de 25 grados. Camina 5 millas y luego

mide el ángulo de elevación nuevamente, ahora es de 40 grados. ¿Qué altura tiene

la montaña?

Step-by-step explanation:

5 0
3 years ago
The numbers of girls in a second grade class in 4 less than the number of boys. Let b represent the number of boys in the class,
liubo4ka [24]

Answer:

Step-by-step explanation:

But an B

6 0
3 years ago
A bin contains 64 light bulbs of which 10 are defective. if 5 light bulbs are randomly selected from the bin with replacement, f
Sloan [31]
Total number of bulbs = 64
Number of defective bulbs = 10
Number of good bulbs = 64 - 10 = 54

P(5 good bulbs) = (54/64)⁵ = (27/32)⁵ = 0.428


Answer: 0.428
3 0
3 years ago
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