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Anettt [7]
3 years ago
11

A consultant for an association of personnel directors wants to find the proportion of clerical personnel that change jobs becau

se they are bored with their work. The consultant queries a random sample of 400 clerical workers who recently changed jobs, 200 of which state that they changed jobs because they were bored. The consultant wishes to prepare a 95% confidence interval for the true proportion changing jobs because of boredom. What is the margin of error for this interval
Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

the margin of error for this interval is 0.049

Step-by-step explanation:

The computation of the margin of error for this interval is shown below;

Given that

n = 400

x = 200

Now

p = x ÷ n = 200 ÷ 400 = 0.5

Now the margin of error is

= z \times \sqrt{\frac{p(1-p)}{n}} \\\\1.96  \times \sqrt{\frac{0.5 \times 0.5}{400} }

= 0.049

Hence the margin of error for this interval is 0.049

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Use photomath babe and if that doesn’t work idk i ain’t smart tbh
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3 years ago
Write the equation of the given circle.<br><br> center (1, -5)<br> radius of 10
Naddika [18.5K]

Answer:

(x-1)^2+(y+5)^2=100

Step-by-step explanation:

The equation of a circle has the following form:

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Our equation center is (1.-5) and radius is 10.

(x-1)^2+(y--5)^2=10^2

(x-1)^2+(y+5)^2=100



3 0
3 years ago
What is the sum of the series?
lana66690 [7]

Answer:

44

Step-by-step explanation:

substitute k = 1, 2, 3, 4 into 2k² - 4 and sum the terms

k = 1 : 2(1)² - 4 = 2 - 4 = - 2

k = 2 : 2(2)² - 4 = 8 - 4 = 4

k = 3 : 2(3)² - 4 = 18 - 4 = 14

k = 4 : 2(4)² - 4 = 32 - 4 = 28

sum = - 2 + 4 + 14 + 28 = 44

8 0
3 years ago
Read 2 more answers
Let c be the path c(t) = (2t, t2, log(t)), defined for t &gt; 0. find the arc length of c between the points (2, 1, 0) and (12,
V125BC [204]
The path starts at t=1 and ends at t=6, so we have an arc length of


\displaystyle\int_{\mathcal C}\mathrm dS=\int_{t=1}^{t=6}\|\mathbf c'(t)\|\,\mathrm dt
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=\displaystyle\int_1^6\sqrt{4t^2+4+\frac1{t^2}}\,\mathrm dt
=\displaystyle\int_1^6\frac1t\sqrt{4t^4+4t^2+1}\,\mathrm dt
=\displaystyle\int_1^6\frac1t\sqrt{(2t^2+1)^2}\,\mathrm dt
=\displaystyle\int_1^6\frac{2t^2+1}t\,\mathrm dt
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=(6^2+\log6)-(1^2+\log1)=35+\log6
4 0
4 years ago
Which equation represents a linear function?
quester [9]

Answer:

Step-by-step explanation:

y = 9 - X   is a linear function; x is to the first power.

y = x2 + 1   does NOT represent a linear function; it's a quadratic function.

o            

y=x² + 5    does NOT represent a linear function; it's a quadratic function.

D)

y = [xl - 9  does NOT represent a linear function; it's an absolute value function.  This function has two halves, each of which is a linear function.

But the best answer here is that y = 9 - X   is a linear function; x is to the first power.

3 0
3 years ago
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