Answer:
Answer = √(0.301 × 0.699 / 83) ≈ 0.050
A 68 percent confidence interval for the proportion of persons who work less than 40 hours per week is (0.251, 0.351), or equivalently (25.1%, 35.1%)
Step-by-step explanation:
√(0.301 × 0.699 / 83) ≈ 0.050
We have a large sample size of n = 83 respondents. Let p be the true proportion of persons who work less than 40 hours per week. A point estimate of p is because about 30.1 percent of the sample work less than 40 hours per week. We can estimate the standard deviation of as . A confidence interval is given by , then, a 68% confidence interval is , i.e., , i.e., (0.251, 0.351). is the value that satisfies that there is an area of 0.16 above this and under the standard normal curve.The standard error for a proportion is √(pq/n), where q=1−p.
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Simplify each term.
1/2X - 1/3Y
Combine 1/2x and −1/3y using a common denominator.
To write −1/3y as a fraction with a common denominator, multiply by 2x/2x.
(1 / 2x )(3y / 3y) + (−1 / 3y) (2x / 2x)
Write each expression with a common denominator of 6xy, by
multiplying each by an appropriate factor of 1.
1 (3y)/6xy − 1 (2x)/6xy
Combine the numerators over the common denominator.
1(3y) − (1(2x))/6xy
Simplify the numerator.
3y−(1(2x))/6xy
<span>Simplify.
</span>3y−(2x)/6xy
<span><span>3y−2x/</span><span>6xy</span></span>
Simplify with factoring<span> out.
</span>
Reorder <span>3y</span><span> and </span><span><span>−2x</span>.</span>
<span><span>−2x+3y/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−2x</span>.</span>
<span><span>−1(2x)+3y/</span><span>6xy</span></span>
Factor <span>−1</span><span> out of </span><span><span>3y</span>.</span>
<span><span>−1(2x)−1(−3y)/</span><span>6xy</span></span><span>
</span>
Factor <span>−1</span><span> out of </span><span><span>−1(2x)−1(−3y)</span>.</span>
<span>−1(2x−3y)/</span><span>6xy
</span>Move the negative in front of the fraction<span>.
</span>
<span>−<span><span>2x−3y/</span><span>6xy</span></span></span><span>
</span>
Answer:
41.87
Step-by-step explanation:
Add the 2 numbers
Answer:
V = x^3
Step-by-step explanation:
Please share the illustration of the cube.
V = x^3 is the only possible correct answer.