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


1229 1257 1243 1194 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.)

(b) Find a 90% confidence interval for the mean of all tree ring dates from this archaeological site. (Round your answers to the nearest whole number.)

Answer:

x = 9

m(AD) = 108°

m(BC) = 23°

m(DC) = 139°

m(DBC) = 162°

Step-by-step explanation:

AD = 12x°

BC = (2x + 5)°

DC = (17x - 14)°

m<AEB = right angle = 90°

AB = m<AEB = 90° (central angle theorem)

90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)

✔️Solve for x

90 + 12x + 2x + 5 + 17x - 14 = 360

Add like terms

81 + 31x = 360

31x = 360 - 81

31x = 279

x = 279/31

x = 9

✔️Find m(AD)

m(AD) = 12x

Plug in the value of x

m(AD) = 12(9) = 108°

✔️Find m(BC):

m(BC) = (2x + 5) = 2(9) + 5

m(BC) = 23°

✔️Find m(DC) = (17x - 14)° = 17(9) - 14

m(DC) = 139°

✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°

Answer:

Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value

Answer:

im pretty sure what u have ther is right

Answer:

Step-by-step explanation:

The right angle means that you are working with a right angle triangle. Therefore one of the 3 basic trig functions must be used to define x.

Sin(x) = opposite / hypotenuse.

opposite = 15

hypotenuse = 17

Sin(x) = 15/17

Sin(x) = 0.8824

But that's not what you are asked for. You are asked for an angle. That means you must use the inverse of the sine function.

x = sin-1(0.8824)

x = 61.93  

That's about as brief as I can make it.

Hello!

[tex]\large\boxed{c_{5} = 136}[/tex]

We can begin by solving for c₃ given the equations:

c₃ = 3c₂ + 2c₁ - 2

c₃ = 3(2) + 2(4) - 2

Simplify:

c₃ = 6 + 8 - 2 = 12

We can now find the subsequent terms:

c₄ = 3(12) + 2(2) - 2 = 38

c₅ = 3(38) + 2(12) - 2 = 136

Now we have to,

find the required value of c₅.

Given that,

→ c₁ = 4

→ c₂ = 2

→ [tex] \sf {c_n = 3c_{n-1}+2c_{n-2}-2}[/tex]

Let's solve c₃ first,

→ 3c₂ + 2c₁ - 2

→ 3(2) + 2(4) - 2

→ 6 + 8 - 2 = 12

Then the value of c₃ is

→ [c₃ = 12]

Then find the value of c₄,

→ c₄ = 3(12) + 2(2) - 2

→ c₄ = {36 + 4} - 2

→ c₄ = 40 - 2

→ [c₄ = 38]

Next we can solve for c₅,

→ c₅ = 3(38) + 2(12) - 2

→ c₅ = {114 + 24} - 2

→ c₅ = 138 - 2

→ [c₅ = 136]

Hence, the value of c₅ is 136.

Answer:

30

Step-by-step explanation:

length x width = surface area

7.5 x 4 = 30

Step-by-step explanation:

The given vector is :

r = (-4,6)

We can write in the form of vector as follows :

r = -4i+6j

The magnitude of vector r is :

[tex]|r|=\sqrt{-4^2+6^2} \\\\=\sqrt{16+36} \\\\=7.21[/tex]

For direction,

[tex]\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\=\tan^{-1}(\dfrac{6}{-4})\\\\=-56.3^{\circ}[/tex]

So, the magnitude is 7.21 and the direction is [tex]-56.3^{\circ}[/tex]

Answer:

A. |r|=2√13, 56.3° N of W

Step-by-step explanation:

got it on edge :)

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Answer:

Hope It Help

Step-by-step explanation:

Brainliest please

The missing piece of information is ∠C ≅ ∠C′

From the figure,  we have:

AB ≅ A'B'

<B ≅ <B'

The above means that:

The congruence theorem is given as:

AAS --- Angle Angle Theorem

i.e.

Two corresponding angles and one corresponding side are congruent

Since a congruent side and a congruent angle have been given;

We need a congruent angle to complete the piece

In this case, we have:

∠C ≅ ∠C′

Hence, the missing piece of information is ∠C ≅ ∠C′

Read more about congruent triangles at:

https://brainly.com/question/1675117

#SPJ1

Answer:

B. 37 units

Step-by-step explanation:

DE = 4x + 1

AB = 11x - 25

DE is a midsegment of the ∆ABC

Therefore:

DE = ½(AB) => Triangle Midsegment Theorem

4x + 1 = ½(11x - 25)

2(4x + 1) = 11x - 25

8x + 2 = 11x - 25

Collect like terms

8x - 11x = -2 - 25

-3x = -27

-3x/-3 = -27/-3

x = 9

✔️DE = 4x + 1

Plug in the value of x

DE = 4(9) + 1 = 36 + 1

DE = 37

Answer:

[tex]Area = 322.0in^2[/tex]

Step-by-step explanation:

Given

[tex]Base = 23in[/tex]

[tex]Height = 28in[/tex]

Required

Determine the area

The area is calculated as:

[tex]Area = 0.5 * Base* height[/tex]

[tex]Area = 0.5 * 23in * 28in[/tex]

[tex]Area = 322.0in^2[/tex]

Answer:

6/25

Step-by-step explanation:

Answer:

hot dog and baloney :>

Step-by-step explanation:

yeet

Answer:

Hot dog and baloney

Chicken and macaroni

Chilling with my homies

I heard it so many times :)

The answer:

15.157059248=15.2(When rounded to the nearest tenth)

Answer:

Ok so the answer is the first option

Answer: The answer is 1st quadrant.

Step-by-step explanation:

Answer:   x = 7

Thus 7 associates and 10 partners were assigned

Step-by-step explanation:

7 associates and 10 partners were assigned

Let "x" be the number of associates assigned to

case

Let "y" be the number of partners assigned to the case

The law firm assigned a total of 17 lawyers to the case

Therefore,

x + y = 17

x = 17 - y --------- eqn 1

daily rate charged to the client for each associate is $800

daily rate for each partner is $1800

They was able to charge the client $23600 per day for these lawyers' services

Therefore,

800x + 1800y = 23600 ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

800(17 - y) + 1800y = 23600

13600 - 800y + 1800y = 23600

1000y = 23600 - 13600

1000y = 10000

Divide both sides by 1000

y = 10

Substitute y = 10 in eqn 1

x = 17 - 10

x = 7

Thus 7 associates and 10 partners were assigned

Answer:  0.42171717 miles

Step-by-step explanation:

 for  inches to mile conversion  divide  by 63350

so got 0.421717

Answer:

26

Step-by-step explanation:

180-63-78 = 39

180 - 39- 59 =82

180-82-72=26

Answer:

i think the awnser is c . if unattended, leave the horse tire up

Answer:

1/6

Step-by-step explanation:

Answer:

first evening, 10 calls, second evening 80 calls, third evening, 20 calls.

Step-by-step explanation:

if the number of calls received during the first evening is X, then the number of calls received during the third evening is X+10 as the third evening received 10 more calls than first evening. The second evening received 4 times of third so 4X+10. Add them up together and put them equal to 110.

X+10+X+4X+40=110

6X+50=110

6X=110-50

6X=60

X=10

First evening, 10 calls,

second evening 80 calls; 4X+40, 4(10)+40=80

third evening 20 calls; X+10, (10)+10=20

Answer:

Amount per month contributed by employer $ = 200*0.70 = 140

Total amount employer contributes $ = 140*420 = 58800

Total amount employee contributes $ = 200*420 = 84000

Total amount after 35 years with interest calculated AT 4.8% (Employer + employee + interest) $ = 371024.67

Interest amount for 35 years accumulated $ = 228224.67

Amount deposited by employee $ = 84000

Excess amount in the account over the employee contribution

Including employer contribution $ = 287024.67

Excluding employer contribution $ = 228224.67

Step-by-step explanation:

LOOK AT THE PICTURE FOR STEPS