The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

Answers

Answer 1

Answer:

The sample mean year is 1261 A.D.

The standard standard deviation is of 46 A.D.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]

Rounding to the nearest whole number, the sample mean year is 1261 A.D.

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]

Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.


Related Questions

Gloria, Teresa, and Rebecca went to an office supply store. Gloria bought 8 pencils, 4 markers, and 6 erasers. Her total was
$22.00. Teresa spent $19.25 buying 5 pencils, 7 markers, and 8 erasers. Rebecca bought 5 pencils, 5 markers, and 4
erasers for $15.75. What is the cost of each item?

Answers

The answer is $20.00

Can someone please give me the answers I will mark you brilliant as soon as it pops up

Answers

I believe 80 sorry if wrong

Answer:

1.) [tex]=50x+30y[/tex]

2.? The first one

Step-by-step explanation:

1.)[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex],  [tex]a=10,\:b=5x,\:c=3y[/tex]

[tex]=10\cdot \:5x+10\cdot \:3y[/tex][tex]=50x+30y[/tex]

2.) The first one

Solve the equation 23+n=29 using the inverse operation.

Answers

Answer:

n=6

Step-by-step explanation:

i used math-way :P

Find the area of the composite figure.

Answers

Answer:

B. [tex] 200.5 \: {m}^{2} [/tex]

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

[tex] = {(12)}^{2} + \frac{1}{2} \pi {r}^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14(6)^{2} \\ \\ = 144 + \frac{1}{2} \times 3.14 \times 36 \\ \\ = 144 + 56.52 \\ \\ = 200.52 \: {m}^{2} \\ \\ \approx \: 200.5 \: {m}^{2} [/tex]

A group of Americans participated in a study that involved taking their temperatures during exercise in extreme heat. The participants had a mean body temperature of 104^{\circ} \text{F}104 ∘ F104, degrees, start text, F, end text and a standard deviation of 2^{\circ} \text{F}2 ∘ F2, degrees, start text, F, end text. Doctors analyzing the results prefer to work in degrees Celsius, so they convert the data by applying the formula below to each data point: ^{\circ}\text{C}=\dfrac59(^{\circ}\text{F}-32) ∘ C= 9 5 ​ ( ∘ F−32)degrees, start text, C, end text, equals, start fraction, 5, divided by, 9, end fraction, left parenthesis, degrees, start text, F, end text, minus, 32, right parenthesis If each temperature is converted to degrees Celsius, what will be the mean and standard deviation of the distribution of new temperatures?

Answers

Answer:

the mean is 40 degrees celcius

standar deviaton is 1.11 degrees Celsius

Step-by-step explanation

khan academy

The temperature values of the participants in celcius are :

Mean = 40°CStandard deviation = - 16.67°C

Information about body temperature :

Mean = 104°F

Standard deviation = 2°F

To convert to Celsius temperature :

°C = 5/9(°F - 32)

To temperature values in °C :

Mean temperature :

°C = 5/9(104 - 32)

°C = 40°C

Standard deviation of temperature :

°C = 5/9(2 - 32)

°C = - 16.67°C

Hence, the temperature values in Celcius are : 40°C and - 16.67°C

Learn more : https://brainly.com/question/18112348

TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP

Answers

Answer:

3.13π

Step-by-step explanation:

One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:

Diameter is half the radius, so the radius is 5ft.

Area of a circle  = π(radius)²

=5²π

=25π.

We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π

The front view of a square pyramid is in the shape of a triangle that
has a base of 30 yards and a height of 40 yards. What is the area
of the front view of the square pyramid?
600 sq yards
0 1200 square yards
250 yards
600 yards

Answers

Answer:

600 sq yards

Step-by-step explanation:

font view as in on triangle

30*40/2 = 600

B*H/2 = area of triangle

Find 0% of 60:

Find 100% of 60:

Find 50% of 60:

Find 25% of 60:

Find 75% of 60:

Answers

Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

Link= REPORT

Х
5 ft.
8 ft. M
24 ft.

(A) 13
(B) 15
(C) 17
(D) 11

Please someone help!!


Answers

Answer:

I think the answer is c

explanation:

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

[Not drawn to scale]

54 square feet
67.5 square feet
81 square feet
85.5 square feet

Answers

Answer:

The answer would be 81, or C

Step-by-step explanation:

youre welcome, have a great day :D!!

Answer:

81 or c

Step-by-step explanation:

Beginning at 8:30 A.M., tours of the National Capitol and
the White House begin at a tour agency. Tours for the
National Capitol leave every 15 minutes. Tours for the
White House leave every 20 minutes.

a) How often do the tours leave at the same time?


b) When is the next time the two tours will leave at
the same time?

Answers

Answer:

Step-by-step explanation:

if both tours start at 8:30 A.M, the NC (National Capitol) 8:45, and the WH (White House) leaves at 8:50.

NC

08:45                     08:50

09:00                     09:10

09:15                      09:30

09:30                     09:50          

09:45                     10:10  

10:00                      10:30    

10:15                       10:50    

10:30                       11:10  

10:45                        

11:00                    

Both tours leave at 9:30, and then away at 10:30.

They leave at the same time every hour.

A special CPI is constructed to measure the variation of these products, so that coffee and bread have a weight of 0.35 of the total and egg, ham and cheese 0.1 of the total. variation of the CPI?

Answers

9514 1404 393

Answer:

  The CPI increased 3.42% in Month 2.

Step-by-step explanation:

In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.

Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:

  pct change = ((new value)/(old value) -1) × 100%

Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.

if the area is 48 square meters what is the length of side R in meter

Answers

Answer:

12 m

Step-by-step explanation:

the area of a rectangle is length x width

we know the width, so we can proceed like this:

Lenght = A/width

Lenght = 48/4 = 12 m

PLEASE HELP AGAIN. IM TIMES

Answers

Answer:

u didnt put any questions

Step-by-step explanation:


2. Which of the following congruence statements is true?

(A) A = B
(B) CE = DE
(C) AED = CEB
(D) AED = BEC

GEOMETRY

Answers

Answer:

D)

hope it helps..........

Answer:

D is the correct answer

hope it is helpful to you ☺️☺️☺️

A snake catches and eats a small field mouse. Later that day, a hawk catches the snake and eats it.

Which three terms describe the snake?

Answers

he is a predator, a pretty, and a carnivore .

Answer:

Consumer, predator, and prey.

Step-by-step explanation:

The consumer is the mouse because the snake is eating the mouse and the predator to the snake and the hawk is the eating the snake which is the snake is the hawks prey.

Please give me brainliest! Hope I helped!

Ms. Nelson wants to buy a stair runner carpet to make it easier for her dog, Max, to go up and down the stairs. There are 15 stairs in Ms. Nelson's staircase, and each stair needs 60 centimeters of carpet. How many meters long will Ms. Nelson's stair runner be?

Answers

Find total centimeters by multiply total steps by centimeters per step:

15 x 60 = 900 centimeters total needed.

Convert centimeters to meters by dividing total centimeters by 100:

900/100 = 9

He will need 9 meters

Answer:

Ms nelson need 900 centimeters of carpet

Step-by-step explanation:

15 times 60 cm = 900cm

Jack has a bag of coins. The bag
contains 8 dimes, 4 nickels, 3
pennies, and 1 quarter. He will
randomly select 2 coins from the bag
at one time without replacement
What is the probability that Jack will
select 2 dimes?

a. 15/23
b. 7/30
c. 5/9
d. 1/2

Answers

Answer:

i think 1 half sorry if i am wrong

Step-by-step explanation:

Solve the following inequality.
-4x + 5 2 25 + 6x
A. X2
B. XS2
C. XS-2
OD. XX-2

Answers

It’s b I hope this work for you b.9 g.3 g.4

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

Step-by-step explanation:

Solve the system of equations

 x +  y  = 24      both sides times 3          3x + 3y = 72

3x + 5y = 100

3x + 3y = 72       subtract  the bottom equation from the top one

0x + 2y = 28

         y = 14   five point questions      70 points

 x + 14 = 24      the first equation with y set to 14

    x  =  10        three point questions      30 points

Are 5x + 9 - 2x = 12 and 3x = 3 equivalent equations

Answers

Answer:

Yes

Step-by-step explanation:

If you simplify the 1st equation,

5x + 9 - 2x = 12

Add like terms

3x + 9 = 12  

Subtract the 9 from both sides

3x = 3

It gives you the same equation as the other one

Answer:

yes they both equal 1

Step-by-step explanation:

you pick random 6,7,8,9 what is P(9)

Answers

Step-by-step explanation:

There are a total of 4 numbers to pick.

P(9) means is the probability of you picking the number 9.

Since you are only picking one number, the probability will be 1/4 or 0.25

Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!

Answers

Answer:

$10.10

Step-by-step explanation:

0.25 × 27 = 6.75

0.10 × 26 = 2.60

0.05 × 15 = 0.75

6.75 + 2.60 + 0.75 = $10.10

In a survey of 12 people, it was found that an average of $36 was spent on their child's last birthday gift with a standard deviation of $11. Estimate the mean amount people spend on their child's last birthday gift with 80% confidence using the appropriate critical value to three decimal places. Enter your answer as equations or as numbers rounded to four decimal places.

Answers

Answer:

(27.3692 ; 44.6308)

Step-by-step explanation:

Mean, xbar = 36

Standard deviation, s = 11

Sample size, n = 12

Tcritical at 0.2, df = 12 - 1 = 11 ; Tcritical = 2.718

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/sqrt(n)

Margin of Error = 2.718 * 11/sqrt(12) = 8.6308

Confidence interval :

Lower boundary : 36 - 8.6308 = 27.3692

Upper boundary : 36 + 8.6308 = 44.6308

(27.3692 ; 44.6308)

a. Estimate Kevin rode 30 km in 2 hours. At that rate, how long would it take him to ride 75 km? Estimate an answer. Then use a case 1-case 2 ratio box to solve this problem.​

Answers

It took 5 hrs to ride

Can someone help me please I will mark u brilliant

Answers

Answer:

I think the answer is option 3

Step-by-step explanation:

Answer: The box plot that represents this data is option 3.

Step-by-step explanation:

The volume of this rectangular prism is 53.72 cubic centimeters . what is the value of y?

Answers

Answer:

y = 1.7 cm

Step-by-step explanation:

V= lwh

w = [tex]\frac{V}{lh}[/tex] = [tex]\frac{53.72 cubic centimeters}{4cm(7.9cm)}[/tex] = 1.7 cm

The sum of N and the product 5 times n is 24. What is the value of n?

Answers

Answer: n = 4

Step-by-step explanation:

     We will first write a mathematical equation to represent the situation. Then, we will solve it.

The sum of n → Sum means addition, so "n +"

product of 5 times n → Product and times means multiplication, so "5n"

is 24 → Is represents equals, so "= 24"

     The sum of N and the product 5 times n is 24 → n + 5n = 24

Now that we have our equation, we can solve. We will do this by adding n and 5n, then dividing both sides of the equation by 6.

     n + 5n = 24

     6n = 24

     n = 4

2. Use the distributive property to write an expression that is equivalent to 12 + 4x.

Answers

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

4(x+3)

This is your expression.

Hope this helps! ;)

9514 1404 393

Answer:

  4(3 +x)

Step-by-step explanation:

The greatest common factor is 4, so any divisor of that can be factored out:

  12 +4x = 2(6 +2x) = 4(3 +x)

hi can anyone please help me with number 10

Answers

Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.

Step-by-step explanation:

If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.

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