At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:

a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.

Answers

Answer 1

Answer:

(1204 ; 1288) ;

(1162 ; 1330) ;

(1120 ; 1372)

Step-by-step explanation:

Given that:

Mean, m = 1246 years

Standard deviation, s = 42 years

68% is within one standard deviation the mean ;

Therefore 68% equals ;

mean ± 1(standard deviation)

(1246 - 1(42)) ; (1246 + 1(42))

1204 ; 1288

B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.

95% is within two standard deviation of the mean ;

Therefore 95% equals ;

mean ± 2(standard deviation)

(1246 - 2(42)) ; (1246 + 2(42)

(1246 - 84) ; (1246 + 84)

(1162 ; 1330)

c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.

About 99.7% which is within 3 standard deviations of the mean

99.7% is within 3 standard deviations of the mean ;

Therefore ;

mean ± 3(standard deviation)

(1246 - 3(42)) ; (1246 + 3(42))

(1120 ; 1372)


Related Questions

I really need help I posted this question 3 times and no answers, can someone help I even put extra points and ill give brainliest <333

Answers

Answer:

In a quadrilateral ABCD, ∠A = 100°, ∠B = 105° and ∠C = 70°, find ∠D.

Solution:

Here the sum of the four angles

or, ∠A + ∠B + ∠C + ∠D = 360°

We know, ∠A = 100°, ∠B = 105° and ∠C = 70°

or, 100° + 105° + 70° + ∠D = 360°

or, 275° + ∠D = 360°

∠D = 360° - 275°

Therefore,  = 85°

i hope this was helpful. <3

crown?

Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

[tex]1) \frac{37.5}{100} [/tex]

[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]

[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]

[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]

[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]

Round 992 to the nearest ten

Answers

It will be 990 hope this helps

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)


A. $128.78
B. $25.76
C. $12,877.65


I really need help!​

Answers

Hello!! I believe the correct answer is C!! If you do 572.34 x 4.5= 2,575.53 so then you multiply that by 5 which gets you 12,877.65!! ;))

If Log 20 = 1.301 what is the value of Logsub100 20?

I need the step by steps! I can’t find anything videos online to teach this to me

Answers

Answer:

[tex]log_{100}20 = 0.6505[/tex]

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

[tex]10^{1.301} = 20[/tex]  (This is the log in exponential form)

Since we don't know what  [tex]log_{100}20[/tex]  is equal to, we will say  [tex]log_{100}20[/tex] = x

So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)

[tex]100^{x} =20[/tex]

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]

Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)

Now we get [tex]10^{2x} = 10^{1.301}[/tex]      

(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

help asap:)! i will give brainliest

Answers

I think the answer is 2/3

2/3 is the correct answer

An expression is evaluated as shown below.



8 + 3 × (4 ÷ 2) − 7



Step 1: 8 + 3 × 2 − 7

Step 2: 11 × 2 − 7

Step 3: 22 − 7

Step 4: 15



In which step does a mistake first appear?

Answers

Answer:

Step 2: 11 × 2 - 7

Step-by-step explanation:

unzsun sun dn I'd i

every year 39 million card cross the Golden Gate Bridge in San Francisco. Which kind of function best models the relationship between time and the cumulative number of cars that have crossed the Golden Gate Bride?

Answers

Answer:

Linear Function

please help, thanks :)​

Answers

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?

Answers

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

I believe the answer should be related to x

Which expression is equivalent to w4−25w2+144
?

(w2+9)(w2−16)

(w−3)(w+4)(w−3)(w−4)

(w−3)(w+3)(w2−16)

(w2−9)(w2+16)

Answers

Sorry I’m just commenting to do it

difference between -20 and -17

Answers

Answer:

-3

Step-by-step explanation:

because it says difference and differences means subtract so -20-(-17)=-3

the difference is -3

3 2/3 divide 1 2/7 in simplest form

Answers

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answers

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

9-5(x+4)=3(2-x) plz help im so bad at math

Answers

9 × x = 9x

-5 × x = -5x

9 × 4 = 36

-5 × 4 = -20

3 × 2 = 6

3 × -x = -3x

9x - 5x + 36 - 20 = 6 - 3x

4x + 16 = 6 - 3x

4x - 3x = - 16 + 6

x = - 10

: )

This was my answer hope I helped ;)

The ratio of men to women working for a company is 4 to 7. If there are 231 employees TOTAL, how many WOMEN work for the company?

Answers

Answer:

Step-by-step explanation:

4:7::4x:7x

4x+7x=231

11x=231

x=231/11=21

women=7x=7×21=147

Simplify by combining like terms.
4 1/3 B + 2 3/4 B + 1
Remember to simplify the mixed number!
Enter the number that goes in the green box.

Answers

85/12b +1 is the answer

At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?

Answers

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.

Answers

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?

Answers

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?

Answers

Answer: It would be 43 mittens

Step-by-step explanation:

8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)

Answers

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

The diagram shows information about the final 70 seconds of a car journey. (a) Find the deceleration of the car between 60 and 70 seconds.

Answers

I have attached an image showing the diagram.

Answer:

-2 m/s²

Step-by-step explanation:

From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.

Thus, using Newton's first equation of motion, we can find the deceleration;

a = (v - u)/t

Time (t) = 70 - 60 = 10 s

Final velocity (v) = 0 m/s

Initial velocity (u) = 20 m/s

Thus;

a = (0 - 20)/10

a = -20/10

a = -2 m/s²

solve for the y-intercept. Show your work! Then list the slope-intercept form of the line (-15,-17) (14,10)

Answers

Answer:

The line is y = 27/29x - 88/29The y-intercept is (0, -88/29)

Step-by-step explanation:

Given point:

(-15,-17), (14,10)

Slope-intercept form:

y = mx + b

Use slope formula:

m = (y₂ - y₁)/(x₂ - x₁)m = (10 - (-17))/(14 - (-15)) = 27/29

Use one of the points to find the y-intercept:

y = 27/29x + b10 = 27/29*14 + bb = (29*10 - 27*14)/29b = -88 /29

The line is:

y = 27/29x - 88/29

Answer:

slope for y intercept={10--17)/(14--15)=27/29

if you have 1.234545 davidi by 50=

Answers

0.0246909 hope this helps love ❤️

Answer:

The answer is 0.02469090

Step-by-step explanation:

1.234545÷50=0.02469090

Hope this helps you.

5/6 divided by 1/2 simplest from

Answers

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Please help

Point____is plotted at -4/5​

Answers

Answer:

C

Step-by-step explanation:

-4/5 is -0.8, which is at point C

plz brainliestt

Answer: C

Step-by-step explanation:

Point A is 4/5

Point B is -2/5

Point C is -4/5

Point D -1 4/5

Point D is


How do I solve this

Answers

Answer:

Step-by-step explanation:

I'm sorry forgot how to exactly solve it

Im serious this time is it appropriate to use a old notebook for a new class in highschool?
Specifically math cuz they made us get big five subject notebooks and we haven't even filled half of it and the years almost over I thought about reusing it for next year's math class

Answers

Answer:

Of course it is!

Step-by-step explanation:

You might want to have a separator, so you know what page your new year textbook starts. I hope this is a food tip to save money!

is 4 1/2 equivalent to 4.5/100

Answers

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

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