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Crazy boy [7]
3 years ago
12

How would I solve this

Mathematics
1 answer:
Serjik [45]3 years ago
7 0
By looking up formulas on how to solve questions involving circles, and input numbers, such as pi, circumference, radius, and diameter of a circle, thank you
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What is the slope of a line parallel to the line with equation y = 5x – 2
BARSIC [14]

Answer:

A:5

Step-by-step explanation:

if it asks for parallel it will always be the same slope

5 0
2 years ago
Elderly drivers. In January 2011, The Marist Poll published a report stating that 66% of adults nationally think licensed driver
katrin [286]

Answer:

(a) Hence, the margin of error reported by The Marist Poll was correct.

(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.

Step-by-step explanation:

We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.

It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.

(a) <u>Margin of error formula is given by;</u>

             Margin of Error =  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

where, \alpha = level of significance = 1 - 0.95 = 0.05 or 5%

Standard of error =  \sqrt{\frac{\hat p(1-\hat p)}{n} }

Also, \hat p = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%

n = sample of American adults = 1.018

The critical value of z for level of significance of 2.5% is 1.96.

So, <em>Margin of Error </em>=  Z_(_\frac{\alpha}{2}_)  \times \sqrt{\frac{\hat p(1-\hat p)}{n} }  

                                =  1.96  \times \sqrt{\frac{0.66(1-0.66)}{1,018} } = 0.03 or 3%

Hence, the margin of error reported by The Marist Poll was correct.

(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;

                   P.Q. =  \frac{\hat p-p}{ \sqrt{\frac{\hat p(1-\hat p)}{n} }}  ~ N(0,1)

So, <u>95% confidence interval for p</u> =  \hat p \pm \text{Margin of error}

                                                        =  0.66 \pm 0.03

                                                        =  [0.66 - 0.03 , 0.66 + 0.03]

                                                        =  [0.63 , 0.69]

Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.

7 0
3 years ago
PLEASE HELP IM STUCK
uysha [10]
Y axis and quadrant IV
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3 years ago
Solve the system of equations algebraically. Show all of your steps. (2 points)
Alex777 [14]
Did you solve this? I need it too.
6 0
3 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
Nady [450]

Do you notice anything strange about those points ?

(0, 1), 
(1, 2), 
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

So, after 10 hours,  x=10, and  y = 2¹⁰ = 1,024 .

3 0
3 years ago
Read 2 more answers
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