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astraxan [27]
3 years ago
8

Help on this to please

Mathematics
2 answers:
Levart [38]3 years ago
7 0
<h2>Finding the slope of a line given the graph</h2><h3>Answer:</h3>

7) \frac{1}{2}\\

8) -\frac{5}{4}\\

<h3>Step-by-step explanation:</h3>

<em>Please refer to my Answer from this question to know more about the slope of a line: <u>brainly.com/question/24599351</u></em>

In graph 7, we can see that the points, (-1,-4) and (1, -3) are on the line so these can be our points 1 and 2. Now we can find the slope.

\frac{-3 -(-4)}{1-(-1)} \\ \frac{-3 +4}{1 +1} \\ \frac{1}{2}

The slope of line in graph 7 is \frac{1}{2}\\.

In graph 8, we can see that the points, (-4,4) and (0, -1) are on the line so these can be our points 1 and 2. Now we can find the slope.

\frac{-1 -4}{0-(-4)} \\ \frac{-1 -4}{0 +4} \\ \frac{-5}{4} \\ -\frac{5}{4}

The slope of line in graph 8 is -\frac{5}{4}\\.

d1i1m1o1n [39]3 years ago
5 0

Answer:

7). up 4 over  4

8). up 1 over 2

Step-by-step explanation:

hope this helps :)

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3 years ago
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.
nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0
3 years ago
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