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

Find the measure of <5.
45 = [?]
69%
25

Answers

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

Plz show work, NEED HELP FAST PLZ

Answers

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

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You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%

Answers

A because 40% of 3500 is 40%

I APRECIATE HELP. A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?

Answers

The data set that is best fitted by the regression line is; Data Set B

What are regression residuals?

Residuals are described as the distance of  each point from the regression line.  Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.

Graph C has points that are not tightly centered around a line.  This is not a good fit.

Graph A has a straight line; it is not a good fit.

Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.

Read more about Regression Residuals at; https://brainly.com/question/17844286

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Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be

Answers

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.

The diameter of a cake is 7.8 inches. What is the area of the cake?

Answers

A = πr^2
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9

A = π(3.9)^2
A ≈ 47.78

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =

Answers

Answer: 6

Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c

On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?

Answers

Answer:

[tex](d)\ \beta = 2\ rad[/tex]

Step-by-step explanation:

Given

[tex]L =2[/tex] -- length of the arc

[tex]r = 1[/tex] --- radius of a unit circle

[tex]\beta =[/tex] the subtended angle

Required

Find [tex]\beta[/tex]

The length of an arc is:

[tex]L = r * \beta[/tex]

This gives:

[tex]2 = 1 * \beta[/tex]

[tex]2 = \beta[/tex]

Make [tex]\bets[/tex][tex]\beta[/tex] the subject

[tex]\beta = 2[/tex]

Hence:

[tex]\beta = 2\ rad[/tex]

Answer:

2rad

Step-by-step explanation:

The list shows the numbers of employees in the nine departments at a company.

14, 23, 6, 54, 30, 26, 17, 3, 26

What is the range of the numbers of employees in these departments?
51
18
26
23

Answers

Answer:

51

Step-by-step explanation:

largest number - smallest number

54 - 3 = 51

Answer:

51

step by step

Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.

About 9% of men have red-green color blindness. If three men are selected at random, what is the probability that two will be color blind and one will not be color blind?

Answers

Answer: The answer is 0.81 %

Step-by-step explanation:

THE ANSWER CHOICE FOR D. 15 BUT HELP PLEASE

Answers

Answer:

60

Step-by-step explanation:

Hi I need ur help! (And this is the other one if you saw my last question)

Answers

Answer:

Hi gimmie brainly

thanks

Find the sum: (7b
-4) + (-2b+1).

Answers

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

6q + 8 = -9 - 76

a. 12
b. -12
c. 84
d. -84​

Answers

Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation

Step-by-step explanation:

6q+8=-9-76

6q+8=-85               Subtract 8 from both sides

6q=-93                   Divide both sides by 6

q=-15.5

for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?

Answers

Answer:

Her profit would be $1.30

$1.32 because she paid .53 each ($3.20) and sold them for .75 each . Making .22 per box

Which statement best describes the association?

A.
The data shows a negative association with a trend line of y = -2x + 3

B.
The data shows a negative association with a trend line of y = -2x – 3.

C.
The data shows a positive association with a trend line of y =
x
2
+ 3

D.
The data shows a positive association with a trend line of y = 2x – 3

Answers

Answer:

c the data shows positive associations with trend line

Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46

Answers

Answer:

maybe b?

Step-by-step explanation:

A cause 50 cant make a right triangle but b can

GPA vs. IQ
Predict the GPA for someone with an IQ of 100.
tu
4
35
y = 0.04% -0,8
3
.
25
GPA
2
15
1
05
20
40
80
100
120
60
IQ

Answers

Pretty sure its 3.2.......

Answer:

3

Step-by-step explanation:

edge 2021

Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up

Answers

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

the segments shown below could form a triangle. True or false ​

Answers

Answer:

true

Step-by-step explanation:

true

8 2/3 divided by 4 1/8=2 1/10

Answers

Answer:

8 2/3 divided by 4 1/8=2 1/10  is Correct

exactly 2 10/99

Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?

Answers

Answer:

451 feet tall

Step-by-step explanation:

3*12=36

36+5=41

41*11= 451

Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)

one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10

Answers

3 x one fourth x 26 - 10

HELPP ME IM FAILING IN MATH

Answers

Answer:

-2, 4

Step-by-step explanation:

a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true

Answer:

Plot (-3,5)

I hope this is right ; -;

What is -56 = - 8z because I don’t even know the answer

Answers

Answer:

z=7

Step-by-step explanation:

7 times (-8)=-56

hope this helps:)

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Plz help me well mark brainliest if you are correct!!

Answers

6. There are 30 minutes in half a hour. 30 divided by 5 = 6
There are 6 segments of 5 minutes

Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?

Answers

500 ft 125x 4 your welcome

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

Z = 80 degrees and X = 8 degrees

Step-by-step explanation:

The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.

I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)

We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!

Hope this helped!

A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.

The prism is filled with cubes that have edge lengths of 12 in.



How many cubes are needed to fill the rectangular prism?

Answers

Answer:

432

Step-by-step explanation:

Answer: 4032

Step-by-step explanation: 9x4x112 is 4032

i took the test and pls give brainiest

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