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____ [38]
3 years ago
10

15=3-(z+6) solve the equation and check your solution

Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0
15 = 3 - (z+6)
15 = 3 - z - 6
z = 3 - 6 - 15
z = -18

check:
15 = 3 - (z+6)
15 = 3 - (-18+6)
15 = 3 - (-12)
15 = 3 + 12
15 = 15 (true)
vichka [17]3 years ago
6 0

So, 15 = 3 - z - 6   /  + z;

15 + z = 3 - 6 ;

15 + z = -3   /  -15;

z = -18;

Check the solution: 3 - (-18 + 6 ) = 3 - (-12) = 3 + 12 = 15. Okay!

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NemiM [27]

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%

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

6 0
3 years ago
Help me answer for 11 points
Tcecarenko [31]

Answer:

Just Transposition...

Step-by-step explanation:

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92-49=43=e

28+57=85=f

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55-6+21=70=j

88+8÷4=96÷4=16=k

19+24-97=-97-43=54=m

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