MATHEMATICS COLLEGE

The amount of carbon 14 still present is a sample after t yearsis given by the function C(t)=
Coe-.00012t
where co is the initial anong . estimate the age of a sample of
wood discoverd by a arecheologist if the carbon level in the sample
is only 20% of it orginal carbon 14 level.

Answers

Answer 1
Answer:

Answer:

The age of this sample is 13,417 years.

Step-by-step explanation:

The amount of carbon 14 present in a sample after t years is given by the following equation:

C(t) = C_(0)e^(-0.00012t)

Estimate the age of a sample of wood discoverd by a arecheologist if the carbon level in the sampleis only 20% of it orginal carbon 14 level.

The problem asks us to find the value of t when

C(t) = 0.2C_(0)

So:

C(t) = C_(0)e^(-0.00012t)

0.2C_(0) = C_(0)e^(-0.00012t)

e^(-0.00012t) = (0.2C_(0))/(C_(0))

e^(-0.00012t) = 0.2

ln e^(-0.00012t) = ln 0.2

-0.00012t = -1.61

0.00012t = 1.61

t = (1.61)/(0.00012)

t = 13,416.7

The age of this sample is 13,417 years.

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In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic. a. There are 100 senators in the 114th Congress, and 54% of them are Republicans. b. The 54% here is a In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy. c. The 11% here is a A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males. d. The mean height of 180 cm is a The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds. e. The 44.6 pounds is a In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television.

Answers

Answer:

a) Parameter

b) Statistic

c) Statistic

d) Parameter

e) Statistic

Step-by-step explanation:

For this case we need to remmber that a parameter describe a population of interest is fixed and not changes , and a statistic is a value that describe the sample size selected and can change between samples.

a. There are 100 senators in the 114th Congress, and 54% of them are Republicans.

The 54% here is a parameter since represent the proportion for all the population of interest on this case.

b. In a 2011 Gallup poll of 1008 adults living in the United States, 11% said they are satisfied with the condition of the national economy.

The 11% here is a statistic since we have a random sample and from this sample we calculate the proportion of interest for this case.

c. A survey of hospital records in 120 hospitals throughout the world shows the mean height of 180 cm for adult males.

The mean height of 180 cm is a statistic since we have a survey not all the population of interest

d. The 59 players on the roster of a championship football team have a mean weight of 248.6 pounds with a standard deviation of 44.6 pounds.

The 44.6 pounds is a parameter since we are interested on all the possible players and we have the info for all of them

e. In a random sample of households in the United States, it is found that 51% of the sampled households have at least one high‑definition television.

The 51% here is a statistic since we have a result from a sample not from the population

1/2x + 1 ⥸ 5
show your work

Answers

Answer:

x ⥶ 8

Step-by-step explanation:

1/2x + 1 ⥶5

x + 2 ⥶ 10

x ⥶ 10 - 2

Calcular: log 4 2 = (escribir el resultado como decimal)

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

What is 3/8 divided by 1 1/4 in its simplest form

Answers

9514 1404 393

Answer:

  3/10

Step-by-step explanation:

  (3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10

The quotient for the given fractions is (3)/(10).

The given fractions are (3)/(8) and 1(1)/(4).

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as (a)/(b), then the reciprocal of it will (b)/(a).

Here, 1(1)/(4)=(5)/(4)

(3)/(8) divided by 1(1)/(4)=(3)/(8)/(5)/(4)

=(3)/(8) * (4)/(5)

=(3)/(2) * (1)/(5)

=(3)/(10)

Therefore, the quotient for the given fractions is (3)/(10).

Learn more about the division of fractions here:

brainly.com/question/17205173.

#SPJ3

Someone please tell me and also what b is

Answers

18(b+19)=18
(18)(b)+(18)(19)=18
18b+342=18
18b+342-342=18-342
18b=-324
18b/18=-324/18
b=-18
(I hope i wasn’t too late)
I think it is number two because 19-18=1 but I might be wrong.

The mortgage department of a large bank is interested in the nature of loans of first-time borrowers. This information will be used to tailor their marketing strategy. They believe that 40% of first-time borrowers take out smaller loans than other borrowers. They perform a hypothesis test to determine if the percentage is the same or different from 40%. They sample 100 first-time borrowers and find 53 of these loans are smaller than the other borrowers. For the hypothesis test, they choose a 5% level of significance. What would be the null and alternative hypotheses

Answers

Answer:

Step-by-step explanation:

The null hypothesis is the statement or claim that is believed or assumed to be true. In this case, the null hypothesis is "They believe that 40% of first-time borrowers take out smaller loans than other borrowers". Since we are dealing with proportion, we will denote it with p. The null hypothesis would be

p = 0.4

The alternative hypothesis is what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected. The alternative hypothesis is "They perform a hypothesis test to determine if the percentage is the same or different from 40%". It would be written as

p ≠ 0.4
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