A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error

Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129

The approximate margin of error can be calculated using the relation :

Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]

Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]

Margin of Error = [tex] 1.96 \times 0.576 [/tex]

Margin of Error = [tex] 1.129 [/tex]

Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.

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Answer:

25%

Step-by-step explanation:

75000/30000=75/300=25/100=25%

Answer:

25%

Step-by-step explanation:

(75,000​/300,000) (100)

(0.25) (10)

= 25

well, first off let's check which term has the highest degree, hmmm in this case it has to be the x³, so that's the leading term and its coefficient is 9.

Answer:

Pythagorean Theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.

Answer:

B=24

A= I don't know what that means

Step-by-step explanation:

Answer:

659

Step-by-step explanation:

11-1=10;10/2=5;5+1=6;6+5=11

the hundreds place has 6

the tens place has 5

the ones place has 9

659

Answer:

Step-by-step explanation:

Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...

  0.04x + 0.03(6000 -x) = 216

  0.01x +180 = 216 . . . . simpilfy

  0.01x = 36 . . . . . . . . subtract 180

  x = 3600 . . . . . . . . multiply by 100

  6000-x = 2400

Katie invested $3600 at 4% and $2400 at 3%.

Answer:

6+x=15 (x=9)

Step-by-step explanation:

6 cookies + the newly baked ones = 15 cookies

we know there was 6 cookies and we knew that the result is 15, which means that we "don't know" how many cookies are baked. So the answer is 6+x=15

Answer:

I dont know sry

Answer:

A p (x) = x3_ 7x2 _ 2x_ 40

B p (x) = x3 + 7x2 _ 2x_ 40

C p (x) =x3 _ 7x2 + 2x + 40

D p(x) = x3 +7x2 _ 2x + 40

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

i really dont know

Answer:

y = 19

Step-by-step explanation:

y = 7x - 2

=> y = 7(3) - 2

=> y = 21 - 2

=> y = 19

Therefore, y = 19

Hoped this helped.

Answer:

[tex]x\geq 2[/tex]

Step-by-step explanation:

Write out the problem

[tex]\frac{x}{-5+6} \geq 2[/tex]

Simplifiy -5 + 6 = 1

[tex]\frac{x}{1} \geq 2[/tex]

Remember that any fraction with a denominator of 1 is equilvalent to the numerator, so

[tex]\frac{x}{1} =x[/tex]

[tex]x\geq 2[/tex]

Answer:

C. 9x=18

Step-by-step explanation:

3x+2(3x)=18

3x+6x=18

9x=18

Answer:

[tex]\sqrt[3]{15}[/tex]

Step-by-step explanation:

15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]

To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.

15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]

Have the best day ever! :D

Answer: 27 tickets a+k

Step-by-step explanation:

11+16

Answer:

i dont know

Step-by-step explanation:

Answer:

  4 : 30 : 45

Step-by-step explanation:

The least common denominator of the fractions 1/3, 1/2, and 1/4 is 12. Multiplying the ratio by 12 gives ...

  (1/3) : (2.5) : (3 3/4) = (12)(1/3) : (12)(2.5) : (12)(3 3/4)

  = 4 : 30 : 45

[tex]\begin{array}{ccll} Juice&OJ\\ \cline{1-2} \frac{2}{3}&\frac{1}{3}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{~~\frac{1}{3} ~~}{1}\implies \cfrac{~~ \frac{2}{3}~~}{x}=\cfrac{1}{3}\implies \cfrac{~~ \frac{2}{3}~~}{\frac{x}{1}}=\cfrac{1}{3} \\\\\\ \cfrac{2}{3x}=\cfrac{1}{3}\implies 6=3x\implies \cfrac{6}{3}=x\implies 2=x[/tex]

Probabilities are used to determine the chances of selecting a kind of donut from the box.

The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068

The given parameters are:

[tex]\mathbf{Bars = 6}[/tex]

[tex]\mathbf{Chocolate = 3}[/tex]

[tex]\mathbf{Custard= 3}[/tex]

The total number of donuts in the box is:

[tex]\mathbf{Total= 6 + 3 + 3}[/tex]

[tex]\mathbf{Total= 12}[/tex]

The probability of eating a chocolate donut, and then a custard filled donut is calculated using:

[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]

So, we have:

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]

Simplify

[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]

Multiply

[tex]\mathbf{Pr = \frac{9}{132}}[/tex]

Divide

[tex]\mathbf{Pr = 0.068}[/tex]

Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068

Read more about probabilities at:

https://brainly.com/question/9000575

4

the other really do not make sense

Answer:

2

Step-by-step explanation:

The amount that Kim Barney spends is $342 for medical expenses.

Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)

here, we have,

Given that,

Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00

To find : The amount that Kim barney spends for the medical expenses.

If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.

10% of 1710 is 171

171x8=1368

The insurance provider covers the $1368.

Kim Barney spends $342.

Consequently, Kim Barney spends the following amount on medical costs $342.

To learn more about the cost click here:

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#SPJ2

Answer:

Improper fraction = 19/3

Step-by-step explanation:

To convert to improper fraction;

1.) multiply the denominator with the whole number,

2.) then add the number you got with the numerator (this will be you new numerator)

3.) keep the denominator the same for the new fraction

Hope this helps!

Hello!

--------------------------------------------------------------------------------------------------------------

4 3/4

First, we multiply the whole number by the denominator:

16

Then, we add the numerator:

19

19 is the numerator for our fraction.

Now, the denominator stays the same:

[tex]\frac{19}{4}[/tex] is our answer. Hope it helps you!

~SparklingFlower

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Answer:

y = 5x - 25

Step-by-step explanation:

Using the equation y=mx+b to determine the function. The line must be perpendicular, so the m (slope) value must be the opposite reciprocal of the given equation, which is 5. Then you have to solve the equation using the given point to find b.

10 = 5 * (7) + b

10 = 35 + b

-25 = b

So final equation is y = 5x - 25.

here are the correct answers :)

Answer:

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c

Step-by-step explanation:

This is separable.

Multiply x dx on both sides and divide both sides by (1+y)^(1/2) to obtain:

y/(1+y)^(1/2)=(1+x)^(-1/2) x dx

Using law of exponents to get rid of negative exponent by finding reciprocal:

y/(1+y)^(1/2)=x/(1+x)^(1/2) dx

Let u=(1+y)^(1/2).

Then u^2=1+y.

Differentiate: 2 u du=dy

[Let v=(1+x)^(1/2).]

Plug in our substitution:

(u^2-1) 2u du/u=(v^2-1) 2v dv/v

Simplify:

(u^2-1) 2 du=(v^2-1) 2 dv

Integrate both sides:

(u^3/3-u) 2+L=(v^3/3-v) 2+K

Divide both sides by 2:

u^3/3-u +L/2=v^3/3-v+K/2

K/2-L/2 is just a constant value C:

u^3/3-u=v^3/3-v+C

Use substitution again to put back in terms of x and y:

((1+y)^(1/2))^3/3-(1+y)^(1/2)=((1+x)^(1/2))^3/3-(1+x)^(1/2)+C

Simplify the exponent part a bit:

(1+y)^(3/2)/3-(1+y)^(1/2)=(1+x)^(3/2)/3-(1+x)^(1/2)+C

I don't like the division by 3 so multiply both sides by 3:

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+3C

3C is still just an unknown constant, c.

(1+y)^(3/2)-3(1+y)^(1/2)=(1+x)^(3/2)-3(1+x)^(1/2)+c

Using the margin of error, it is found that he must survey 601 adults in order to be 95% confidence that his estimate is within 4 percentage points of the true population percentage.

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

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confident, hence:

[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].

We have no estimate, hence, [tex]\pi = 0.5[/tex] is used.

Within 4%, hence, it is needed to find n for which M = 0.04.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.04\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = \frac{1.96(0.5)}{0.04}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96(0.5)}{0.04}\right)^2[/tex]

[tex]n = 600.25[/tex]

Rounding up, 601 adults must be sampled.

A similar problem is given at https://brainly.com/question/15133177

Answer:

You need a calculator to solve, but here: 7.7

Step-by-step explanation:

u missed a few paranthesis. I solved this instead: (3.71 + (-5.25))(4+(-9))

first subtract 3.71 by 5.25 to get -1.54 then subtract 4 by 9 to get -5. Then you multiply them to get 7.7.