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zavuch27 [327]
3 years ago
11

Help with this pleasee

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0
Determine with lim

=0
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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500
Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 500, \pi = \frac{421}{500} = 0.842

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 - 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.81

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

6 0
3 years ago
The equation of s circle is x2+y2+6x+4y+10=1. What is this equation written in standard form?
Andreas93 [3]

Answer:

i think it would be x two+ y two + six x + four y+ ten= one is that one the answers if so i hope this helps if not just give me the answers and i will try to help you as much as i can thanks

Step-by-step explanation:


4 0
3 years ago
A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
scoray [572]

Answer:

Option B. 1.8 seconds

Step-by-step explanation:

h=-16t^2+56t+1

This is a quadratic equation, and its graph is a parabola

h=at^2+bt+c; a=-16, b=56, c=1

Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

t=-\frac{b}{2a}

Replacing the known values:

t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75

Approximately 1.8 seconds.

Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.


5 0
3 years ago
Read 2 more answers
23. Which point has a horizontal distance of 4 units and a vertical distance of 5 units from (6, - 4)?
vagabundo [1.1K]

Answer:

(2,1)

Step-by-step explanation:

7 0
3 years ago
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in tha
S_A_V [24]
So, 252 is 1/5 of the total workforce then, the total or whole will then be 5/5 or 1 whole... well, if 252 is 1/5, what's 5/5?

\bf \begin{array}{ccll}&#10;amount&fraction\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;252&\frac{1}{5}\\\\&#10;x&\frac{5}{5}&#10;\end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5}&#10;\\\\\\&#10;\cfrac{252\cdot 5}{1}=x
8 0
3 years ago
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