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tatuchka [14]
3 years ago
9

The line that contains a slope of 1/2 and passes through the point (-2, -3).

Mathematics
1 answer:
natta225 [31]3 years ago
7 0
Y = mx + b
-3 = 1/2(-2) + b
-3 = -1 + b
b = -2

equation
y = 1/2x - 2

standard form
1/2x - y = 2
or 
x - 2y = 4 
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In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product,
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Answer: 0.2872

Step-by-step explanation:

Given : In a sample of 1000 randomly selected consumers who had opportunities to send in a rebate claim form after purchasing a product, 260 of these people said they never did so.

i.e. n= 1000 and x= 260

⇒ Sample proportion : \hat{p}=\dfrac{260}{1000}=0.26

z-value for 95% confidence interval : z_c=1.960

Now, an upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate. :-

\hat{p}+ z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

=0.26+ (1.96)\sqrt{\dfrac{0.26(1-0.26)}{1000}}

=0.26+ (1.96)(0.01387)=0.26+0.0271852=0.2871852\approx0.2872

∴ An upper confidence bound at the 95% confidence level for the true proportion of such consumers who never apply for a rebate : 0.2872

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4 years ago
A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 fee
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I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

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Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

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Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

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Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

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All you have to do is divide 321 by 3 to get $107.00 each night
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