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alexandr402 [8]
3 years ago
6

What property is used to show that 6(x + 7) = 6x + 42?

Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer: Distributive because 6 has to be multiplied by x and 7

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A line passes through the point (-2, 7) and has a slope of -5.
Ludmilka [50]

Answer:

-7

Step-by-step explanation:

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3 years ago
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
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Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
Find a counter example. The product of any integer and 2 is greater than 2
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Exception if the integer is a negative
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Step-by-step explanation:

The statement in the above question is True.

Sum of three prime numbers (other than  two)  is always odd.

Going by Christian Goldbach number theory ,

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 Lets take an example,

  • 3 + 3 + 5 = 11
  • 3 + 5 + 5 = 13
  • 5 + 5 + 7 = 17

Later on in 2013  the Mathematician <u>Harald Helfgott</u> proved this theory true for all odd numbers greater than five.

6 0
3 years ago
Convert the angle 0=23/20 radians to degrees,
MrRa [10]

Answer:

207°

Step-by-step explanation:

3 0
3 years ago
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