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[Calc1] Help with 2 questions?

(B) What is the least squares regression line

(C) According to the model in (b), for every increase of $1000 in income, the ulcer rate (per 100 population) will go down by _________ points.

Answers

Answer 1

Answer:

Answer:

B) y = -9.98×10⁻⁵ x + 13.95

C) 0.1

Step-by-step explanation:

Using Excel, the least squares regression line, rounded to two decimal places, is y = -9.98×10⁻⁵ x + 13.95.

The slope is -9.98×10⁻⁵, so if x increases by 1000, then y changes by -9.98×10⁻² = -0.0998. Rounded to one decimal place, the ulcer rate per 100 population will go down by 0.1 points.

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PLEASE HELP!!!!Select the locations on the number line to plot the points 10/2 and -9/2

Answers

10/2=5 -9/2=-4.5. To solve the problem take the numerator divided by the denominator. so 10 divided by 2 would be 5.

When designing and writting questions for a survey , which of the following are issues that you need to pay attention to?A. Wording of questions
B. Order of questions
C. Sensitive questions
D. All of the above

Answers

Answer:A

Step-by-step explanation:

Determine whether the geometric series is convergent or divergent. 6 + 5 + 25/6 + 125/36 + ... If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

Answers

The $n$ -th term in the series is 6 multiplied by the $(n-1)$ -th power of 5/6:

$a_1=6=6\left(\frac56\right)^(1-1)$

$a_2=5=6\left(\frac56\right)^(2-1)$

$a_3=\frac{25}6=6\left(\frac56\right)^(3-1)$

and so on.

$\displaystyle\sum_(n=1)^\infty6\left(\frac56\right)^(n-1)$

Consider the $N$ -th partial sum,

$S_N=\displaystyle\sum_(n=1)^N6\left(\frac56\right)^(n-1)$

$S_N=6\left(1+\frac56+\cdots+(5^(N-2))/(6^(N-2))+(5^(N-1))/(6^(N-1))\right)$

Multiplying both sides by 5/6 gives

$\frac56S_N=6\left(\frac56+(5^2)/(6^2)+\cdots+(5^(N-1))/(6^(N-1))+(5^N)/(6^N)\right)$

and substracting this from $S_N$ gives

$\frac16S_N=6\left(1-(5^N)/(6^N)\right)$

$S_N=36\left(1-\left(\frac56\right)^N}\right)$

As $N\to\infty$ , it's clear that the sum converges to 36.

Final answer:

The geometric series in the question is convergent with a common ratio of 5/6. Using the formula for the sum of an infinite geometric series, the sum of the series is found to be 36.

Explanation:

In mathematics, specifically in series, determining whether a geometric series is convergent or divergent is centered around the common ratio value. In terms of this particular series: 6 + 5 + 25/6 + 125/36 + ..., the common ratio is 5/6. Given this common ratio, it's clear that it falls between -1 and 1. Hence, this geometric series is convergent.

Once we establish it is a convergent series, we can calculate its sum using the formula for the sum of an infinite geometric series: S = a / (1 - r), where 'a' is the first term and 'r' is the common ratio. Inserting the respective values a = 6 and r = 5/6, we get: S = 6 / (1 - 5/6) = 36. Hence, the sum of this infinite geometric series is 36.

Learn more about Geometric Series here:

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Find the product of these complex numbers.(8 + 5)(-7 + 9) =
A. -101 +37i
B.-11-107/
C. -11 +37/
D. -101-107/

Answers

Final answer:

To find the product of two complex numbers, you can use the distributive property. First, multiply the real parts and then multiply the imaginary parts. The correct answer is A. -101 + 37i.

Explanation:

To find the product of two complex numbers, you can use the distributive property. First, multiply the real parts of the complex numbers together, and then multiply the imaginary parts together. For the given complex numbers (8 + 5) and (-7 + 9):

Real part: (8 * -7) + (8 * 9) = -56 + 72 = 16

Imaginary part: (5 * -7) + (5 * 9) = -35 + 45 = 10

So, the product is 16 + 10i. Therefore, the correct answer is A. -101 + 37i.

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Karen earns $54.60 for working 6 hours. If the amount she earns varies directly with thenumber of hours she works, how many hours would she need to work to earn an
additional $260?