Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome, because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement

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Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

Answer:

d

Step-by-step explanation:

P(boy above average grades) P(above average grades) is the right answer. The correct option is C.

The likelihood that event A will occur provided that event B has already happened is known as conditional probability. It is written as "the probability of A given B" and is indicated by the symbol P(A|B).

We must employ conditional probability in order to respond to this inquiry. We are aware that there are 75 pupils in the class overall, with 37 boys and 38 girls. We also know that 22 girls and 23 boys both have GPAs above the national average.

A. Boy with above-average grades equals a boy.

This claim is untrue. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(boy with average grades). The odds of these two events are not equal.

B. Boy with above-average grades equals P with above-average grades

This claim is untrue. The chance of picking a student with above-average grades at random from the class is P(above average grades), which is (23+22)/75 = 45/75. The likelihood of picking a kid from the class who has above-average grades at random is 23/75, or P(above-average grades boy). The odds of these two events are not equal.

P (boy with above-average grades) C (boy with above-average grades)

This assertion is accurate. P(boy over average grades) = 23/75 and P(above average grades) = 45/75, respectively, are already known values. The odds of these two events are not equal.

D. P(boy | grades over average) = P(boy)

This claim is untrue. The conditional probability that a student will have above average grades given that they are a boy is P(above average grades | boy), which is 23/37. The likelihood of picking a guy at random from the class is 37/75, or P(boy). The odds of these two events are not equal.

Therefore, the correct statement is C. P(boy above average grades) ≠ P(above average grades).

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Answer:

∠EFC and ∠DCF

∠BCF and ∠GFC

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Split the polygon into three triangles and a square, then find the areas of each and they add up to 24.

Answer:

let me know if it's the right answer or not:) also I learned this awhile

Answer:

Given quadrilateral can't be inscribed in a circle.

Step-by-step explanation:

Property of a cyclic quadrilateral,

Sum of opposite angles of a cyclic quadrilateral is 180°

If the given quadrilateral fulfills this property, it can be inscribed in a circle.

From the given quadrilateral,

Sum of opposite angles = 168° + 22°

                                        = 190°

Therefore, answer is NO.

Given quadrilateral can't be inscribed in a circle.

Answer:

285

Step-by-step explanation:

570/2=285

true or false means theres a 1/2 possibility you guess right thats why you divide by 2

The mean number of correct answers to 570 true or false questions will be 285.

In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

For the true or false, the probability of getting correct is given as,

p = 1/2

There are 570 true or false questions in a quiz. If the pupil guesses for each inquiry. Then the expected value is given as,

E = 570 x (1/2)

E = 285

The mean number of correct answers will be 285.

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Answer:

DIVIDE THE TWO ANWSER

Step-by-step explanation:

Answer:

1/12 square foot

Step-by-step explanation:

Area of the pattern = LEngth * Width

Given the following

Length = 1/2 foot

Width = 1/6 foot

Area of the pattern = 1/2 * 1/6

Area of the pattern  =1/12 square foot

Hence the area that the decorative pattern will cover will be 1/12 square foot

Answer:

The correct answer is: 2%

Step-by-step explanation:

Took the quiz

Answer:

33232.92

Step-by-step explanation:

Answer:

I think the answer is letter B

Answer:

4π yd²

Step-by-step explanation:

Area of a circle = πr²

πr²=4π

r²=4

r=2

Circumference of a circle = 2πr = 2π(2) =4π

Answer:

y(x) = 3x + 5

Step-by-step explanation:

Since the rosemary grows by the same number of centimeters each year, this situation is modeled by a linear function.

Height starts at 5 meters and grows 3 centimeters per year.

This means that the height after a certain number of years, represented by x, is given by:

y(x) = 3x + 5

Answer:

Limaçon

Step-by-step explanation:

In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.

The name of the shape depicted in the graph below is a. Limacon.

Polar curves are the curves which are formed using the polar coordinate system.

The distance of the points from the origin will be varying depending on the angle from the positive X axis.

The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.

Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.

The given shape is the limacon with inner loop.

Lemniscate will always be a 8 shaped curve.

Hence the correct option is a, limacon.

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Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Answer:

remember

1h=60min

1min=60 sec

now come to the question

1h=60min

1min=60 sec

60min=60×60=3600sec in 1hour

25min=60×25=1500sec in 25 min

total all sec=3600+1500+29=5129sec

Step-by-step explanation:

Answer:

5129

Step-by-step explanation:

So first we know we have 29 seconds then we know there is 60 seconds in a minute so I'm going to take 60 times 25 which equals 1500 so right now I have 1529 seconds I also know that there is 60 minutes in 1 hour so I'm going to do 60 times 60 which is 3600 so now I'm going to add all my seconds together 1500 + 3600 = 5100

Answer:

Step-by-step explanation:  Given is a function as 1 divided by the quantity x minus 10 squared

Mathematically translating we get

the function

Since the function become undefined at x=10 we get

vertical asymptote is

x=10

Limit x tends to 10 of f(x) will exist since both limits are equal

This is because let x tends to 0 from left.

Then we have

f(x) =  

Right limit also will be +infinity

This is because the curve is symmetrical about x=10 and hence limit would be +infinity.

Read the procedural text.

Plain Taffy

3.5 lbs. white sugar

2 cups water

1 teaspoon cream of tartar

Put the sugar and water in a clean pan. Heat mixture over medium-high heat, stirring occasionally until melted. Continue heating to a slow boil.

Add the cream of tartar and put a lid on the pan. Allow mixture to boil in this way for ten minutes.

Remove the lid and immerse a candy thermometer in the boiling liquid. Boil to 310 degrees.

Quickly remove pan from heat and pour contents into oiled frames, tins, or onto a pouring slab.

Cut into bars or squares with a knife or taffy cutter while still warm.

Allow taffy to cool before eating.  so the answer is A

Answer: 1 is 5.7

2 is 21.75

3 is 8.8

Step-by-step explanation:

here ya go

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.

Answer:

x = 4.8

Step-by-step explanation:

Since quadrilateral JKLM and PQRS are similar toe ach other, therefore the ratio of their corresponding sides are equal.

Thus:

QP/KJ = PS/JM

Substitute

8/5 = x/3

Cross multiply

5*x = 3*8

5x = 24

x = 24/5

x = 4.8

Answer:

the second choice

Step-by-step explanation:

Answer:

not a straight line

Step-by-step explanation:

Linear has the word "line" in it. A linear relation has a graph shaped like a straight line.

Nonlinear means "not like a straight line".

Answer: not a straight line

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

Answer:

(n-2)²

Step-by-step explanation:

If triangle PQR is similar to triangle XYZ, then;

PQ/QR =XY/YZ

Given

PQ = n + 2,

QR = n - 2 and

XY=n^2 - 4,

Substitute

n+2/n-2 = n²-4/YZ

n+2/n-2 = (n+2)(n-2)/YZ

1/n-2 = n-2/YZ

Cross multiply

YZ = (n-2)(n-2)

YZ = (n-2)²

Hence the value of YZ in terms of n is (n-2)²

Answer:

52.91 :)

Step-by-step explanation:

Answer: 480

Step-by-step explanation:

We can create a ratio for this!

We have:

[tex]\frac{number of hamburgers}{total students}[/tex]= [tex]\frac{new number of hamburgers}{new number of students}[/tex]

We can use substitution to input the information we already know:

[tex]\frac{12}{30}[/tex] = [tex]\frac{x}{1200}[/tex]

Using cross multiplication, we get:

1 200(12) = 30x

14,400 = 30x

[tex]\frac{14,400}{30}[/tex]=[tex]\frac{30x}{30}[/tex]

x = 480

Hope this helps! :)

The number of students expect to have hamburgers for lunch is 225 students.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Ramirez's survey on students

Number of students have pizza = 30

Number of students have macaroni and cheese = 17

Number of students have a hamburger = 12

Number of students have chicken fingers = 5

Total number of students = 64.

Now, Mrs. Ramirez surveys all 1 200 students.

Then number of students expect to choose hamburgers for lunch can be found by,

[tex]\frac{Number of students have hamburgers}{Total number of students} = \frac{Number of students expect to have hamburgers}{ Total number of students}[/tex]

Let x be the number of students expect to have hamburgers.

⇒ [tex]\frac{12}{64}=\frac{x}{1200}[/tex]

⇒ [tex]x=\frac{(12)(1200)}{64}[/tex]

⇒ [tex]x=225[/tex]

Hence we can conclude that the number of students expect to have hamburgers for lunch is 225 students.

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