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Harman [31]
3 years ago
12

Write an inequality to represent the phrase: The sum of a number an 6 is no less than 31

Mathematics
1 answer:
Leviafan [203]3 years ago
5 0
The inequality that represents this phrase is n+6 > 31.
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Use the empirical rule to solve the problem. The annual precipitation for one city is normally distributed with a mean of 288 in
nadezda [96]

Answer:

z=-1.99

z=1.99

And if we solve for a we got

a=288 -1.99*3.7=214.4

a=288 +1.99*3.7=295.4

And the limits for this case are: (214.4; 295.4)

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:

X \sim N(288,3.7)  

Where \mu=288 and \sigma=3.7

The confidence level is 95.44 and the signficance is 1-0.9544=0.0456 and the value of \alpha/2 =0.0228. And the critical value for this case is z = \pm 1.99

Using this condition we can find the limits

z=-1.99

z=1.99

And if we solve for a we got

a=288 -1.99*3.7=214.4

a=288 +1.99*3.7=295.4

And the limits for this case are: (214.4; 295.4)

8 0
3 years ago
(3Q) Evaluate the logarithm.
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Answer:

a. 5/3

that's your answer

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3 years ago
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Which of the following choices is equivalent to 1 + 8(2x + 3)?
RUDIKE [14]

Answer:

16x + 25

Step-by-step explanation:

First, distribute the 8 to both numbers within the parenthesis.

1 + 16x + 24

Then, add similar terms together.

16x + 25

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A line contains the points (8, 9) and (–12, –7). Using point-slope form, write the equation of the line that is parallel to the
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The lines have equal gradients;
m\frac{16}{20} = \frac{4}{5}

Equation of line 2;
y=mx+c
y=\frac{4}{5}x+c
-15=\frac{4}{5*(-5)}+c
c=-11
y=4/5x-11
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