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DENIUS [597]
3 years ago
5

Keisha is reading a 325-page book at a rate of 25 pages per day. Use a point-slope equation to determine

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
To determine whether Keisha will be able to finish reading the book in 10 days, establish first the point-slope form of the scenario.

If we let y be the number of pages in a book and x be the number of days the slope-intercept form is as follows:
    y = 25x

To determine the value of x if y is equal to 325,
   325 = (25)(x) 

    x = 325/25
    x = 13

Since the value of x is greater than 10 then, Keisha will not be able to finish reading the book. 
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In a random sample of 7 residents of the state of Maine, the mean waste recycled per person per day was 1.4 pounds with a standa
ivolga24 [154]

Answer:

a) The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

b) T_c = 2.4469

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.4469, and the answer to question b is T_c = 2.4469

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.4469\frac{0.23}{\sqrt{7}} = 0.21

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.4 - 0.21 = 1.19 pounds.

The upper end of the interval is the sample mean added to M. So it is 1.4 + 0.21 = 1.61 pounds.

The 95% confidence interval for the mean waste recycled per person per day for the population of Maine is between 1.19 and 1.61 pounds.

7 0
3 years ago
Solve this quadratic equation. Show all work. <br><br><br> 4x^2-2x-5=0
kicyunya [14]
X= -b⁺₋ √b²-4ac/2a
x= (-(-2)⁺₋√(-2)²- 4(4)(-5))/2(4)
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x= (4⁺₋ 9.165)/8
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Answer:

-3t ≥39

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yawa3891 [41]

Answer:

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Step-by-step explanation:

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2 person: The second-person point of view belongs to the person (or people) being addressed. This is the “you” perspective. Once again, the biggest indicator of the second person is the use of second-person pronouns: you, your, yours, yourself, yourselves.

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4 person: The term fourth person is also sometimes used for the category of indefinite or generic referents, which work like one in English phrases such as "one should be prepared" or people in people say that..., when the grammar treats them differently from ordinary third-person forms."

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