The volume of a box (V) varies directly with its length (l). If the box has a volume of 90 cubic inches and a length of 15 inche
2 answers:
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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!!!
First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that t<span>he sum of three consecutive even integers is </span>
<span>, therefore, you can given the variable </span>
<span> to the first integer, the second even integer is </span>
<span> and the third one is </span>
<span>.
2. Calculate x:
</span>
<span>
</span>
<span> </span>
<span>
</span>
<span>
</span>
<span>
Therefore, the answer is:</span>
1. You have that t<span>he sum of three consecutive even integers is </span>
2. Calculate x:
</span>
</span>
<span> </span>
</span>
</span>
Therefore, the answer is:</span>
Answer:
- y = -5x +10
- (0, 10)
- (1, 5)
- see attached
Step-by-step explanation:
1. Subtract 5x from both sides to put the equation in slope-intercept form:
y = -5x +10
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2. The y-intercept is the point corresponding to x=0. The y-value when x=0 is the constant in the equation: 10. Then the point is ...
(x, y) = (0, 10)
You may notice this is one of the points listed in part 4, and is also used in question 3.
__
3. The x-value computed is 1; the y-value computed is 5. The point is ...
(x, y) = (1, 5)
You may notice this is one of the points listed in part 4.
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4. See attached
