Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater than 2 feet. In population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let pˆD represent the sample proportion for D, and let pˆE represent the sample proportion for E.
What is the probability that pˆD−pˆE is greater than 0.1917?

For example , If we want to calculate the average income of American data scientist , all American data scientists will be determine the population in this case,

Here, Walter surveys all students in his math class and finds that 4 prefer tomatoes, 14 prefer carrots, and 9 prefer cucumbers.

Population = All students in his School

Sample = Students in his class.

No, the sample is not a representative sample, it is the convenience sample.

It can be possible that his class has influence of him or students of other classes may like exactly different ingredients for salad like sprouts, fruit etc.

Answer:

2,5

Step-by-step explanation:

2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.

To find the solution to the equation 3x - y = 1, we can choose a value for x and solve for y. By substituting x = 2, we find that the ordered pair (x, y) = (2, 5) is a solution.

To find an ordered pair (x, y) that is a solution to the equation 3x - y = 1, we first need to choose a value for x and then solve for y. Let's choose x = 2:

Therefore, the ordered pair (x, y) = (2, 5) is a solution to the equation 3x - y = 1.

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Answer:

p=2

Step-by-step explanation:

Since t is 5, in the equation you will plug in 5.

So, it will be 5-3.

Subtract 5 and 3.

5-3=2

So p is 2.

Final answer

p=2

Answer:

66

Step-by-step explanation:

54 + 12 =66

Step-by-step explanation:

53 ÷ (-12 x - 4)

53 ÷ 48

= 1.10416

We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.

We know that area of triangle is half the product of its base length and height.

Since our given triangle is a right triangle, so its base and height will be legs of right triangle.

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=\text{Area}[/tex]

[tex]\frac{1}{2}\cdot\text{Base}\times \text{Height}=30[/tex]

[tex]\frac{1}{2}\cdot 2\cdot\text{Base}\times \text{Height}=30\cdot 2[/tex]

[tex]\text{Base}\times \text{Height}=60[/tex]

This means that product of two bases is 60.

Now we need to find two multiples of 60 such that they are make a right triangle.

Multiples of 60:

1, 60

2, 30

3, 20

4, 15

5, 12

6, 10

We know that (5, 12 and 13) is a Pythagoras triplet.

[tex]5^2+12^2=13^2[/tex]

[tex]25+144=169[/tex]

[tex]169=169[/tex]

Therefore, the hypotenuse of right triangle is 13 units.

Answer:

see below

Step-by-step explanation:

5.  sin 31 = opp/ hyp

  sin 31 = 34 /x

x = 34 / sin 31

x =66.0145369

tan 31 = opp /adj

tan 31    = 34/y

y = 34/ tan 31

y= 56.5855024

6.  Pythagorean theorem to find z

9^2+12^2 = z^2

81+144 = z^2

225 = z^2

z =sqrt(225) =15

sin x = opp / hyp

sin x = 9/15

take the inverse sin

x = sin^ -1 (9/15) = 36.86989765

sin y = opp / hyp

sin y = 12/15

take the inverse sin

y = sin^ -1 (12/15) = 53.13010235

Answer:

1. sin(31) = opposite/hypotenuse

sin(31) = 34/x

x = 34/sin(31) = 66.0145369

x = 66.0°

tan(31) = opposite/adjacent

tan(31) = 34/y

y = 34/tan(31) = 56.5855024

y = 56.6°

2. tan(x) = opposite/adjacent

tan(x) = 9/12

x = 36.86989765

x = 36.9°

y = 180 - 90 - x

y = 53.13010235

y = 53.1°

z² = 9² + 12²

z² = 225

z = 15

Answer:

The symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Step-by-step explanation:

Two triangles are said to be congruent if they have the same three sides and the same three angles, not necessarily the same sides or the same angles are equal.

The properties of congruence are:

Reflexive property:

For all angles A, ∠A ≅ ∠A. That is, all angles are congruent to themselves.

If AB is side of a triangle then, AB ≅ AB.

Symmetric Property:

For any angles A and B if, ∠A ≅ ∠B, then ∠B ≅ ∠A.

For sides AB and CB of a triangle if, AB ≅ CB, then CB ≅ AB.

Transitive property:

For any angles A, B and C if, ∠A ≅ ∠B, and ∠B ≅ ∠C then ∠A ≅ ∠C.

For sides AB, CB and CA of a triangle if, AB ≅ CB, and CB ≅ CA, then AB ≅ CA.

Thus, the symmetric property of congruence is:

If ∠A ≅ ∠B, then ∠B ≅ ∠A.

If, AB ≅ CB, then CB ≅ AB.

Final answer:

The symmetric property of congruence is represented by Option B: If AB ≡ CD, then CD ≡ AB, aligning with the principle that if one quantity equals another, the second equals the first as well.

Explanation:

The symmetric property of congruence states that if one geometric figure is congruent to another, then the second is also congruent to the first. This is a reflection of the more general symmetric property of equality in algebra, which states that if one quantity equals another, the second equals the first as well.

Looking at the provided options, the one that represents the symmetric property of congruence is:

Option B: If AB ≡ CD, then CD ≡ AB.

This option correctly reflects the symmetric property, which can be written as if p ≡ q, then q ≡ p where p and q are geometric figures or algebraic expressions.

Answer:

A

Step-by-step explanation:

The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.

Answer:

393 1/8 miles

Step-by-step explanation:

Distance driven in 1 gallon of gas  = 23  1/8 miles

23  1/8 miles is mixed fraction.

converting 23  1/8 into improper fraction

23  1/8 = (23*8 + 1)/8 = 185/8

Thus 1 gallon of gas can drive 185/8  miles. ____________1

Since distance for 17 gallons is needed.

we multiply both gallon of gas and distance with 17.

1 *17 gallon of gas can drive 185/8*17  miles

17 gallon of gas can drive (185/8)*17  miles

=>17 gallon of gas can drive (3,145)/8 miles

converting (3,145)/8  miles into mixed fraction we have 393 1/8 .

Thus,  Logan's family can drive 393 1/8 miles on 17 gallons.

Answer:

P (r) = 1/3

Step-by-step explanation:

Matt  85 - 80 = +(5)

Taylor 80-78 = - (2)

+5-2 = 3 rise so deviation is the same.

Another test taker in 4 outcomes less than taylor more than taylor less than matt more than matt, would also be the same as AnB union.

So their are 3 outcomes = 1/3 = 0.333 rep.

Answer:

It should be 1.

Step-by-step explanation:

It stating that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

The probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

We have given that,

In a class of 25 students, 8 students have heights less than 65 inches and 10 students have heights of 69 inches or more.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

It states that in a bunch of 25 students, only 8 are at least 65 inches or shorter, while the other ten, are at least 69 inches or taller, meaning there is nothing in between.

Therefore the probabilities described  P(less than or equal to 65 inches and greater than or equal to 69 inches).

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Answer:

Step-by-step explanation:

2

Answer:

2

Step-by-step explanation: its just 2

Answer:

3/14

Step-by-step explanation:

gradient = (0-(-3))/(8-(-6)) = 3/14

Answer: 15

Step-by-step explanation: just add The two numbers together

Answer:

15 days a year

Step-by-step explanation:

Answer:

5x + 2y = 3280

x+y = 785

x = 785 - y

5*(785 - y) + 2y = 3280

3925 - 5y + 2y = 3280

3925 - 3280 - 3y = 0

645 = 3y

y=645/3=215

x=785-215 = 570

Adults - 570 tickets, childs - 215 tickets.

570*5 + 215*2 = 3280

570 adult and 215 child and 3,280 in total

if i could get brainliest that would be great

Answer: 215 child tickets, 570 adult tickets.

Step-by-step explanation:

So they seem to intersect around the 35 year mark, and tree B was planted at year 0, so therefore they intersected 35 years after Tree B was planted.

The x coordinate is years since B is planted.  Looks like the x coordinate of the intersection is about 35 years.

Answer: 35 years

The answer is B.) V = 6w2 + 12w

Answer:

V = 6w² + 12w

Step-by-step explanation:

Answer:

The correct answer is C) 8/6

Hope This will help you and have a great day

Step-by-step explanation:

Please give me Brainiest A moderator took all mine away

Answer:

= 1

Step-by-step explanation:

4/3 x 3/4

= 1/1

= 1

Option B. is correct. Using box plot, the statement that apply to movie A is the ages are more consistent.

A box plot is "a special type of diagrams that shows quartiles in a box and the lines extending from the lowest to the highest value".

According to the question,

The box plot shows ages of randomly sampled attendees at two different movies.

Hence, the ages are more consistent in box plot shows age of randomly sampled attendees at two different movies.

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Answer:

C is 12

Step-by-step explanation:

You just add s "2" to 10.

Then you look and notice C is right next to the equal sign.

Finally, you have your answer of 12.

Answer:

the answer is 4aX(21+5ax)

Step-by-step explanation:the big x is a multiplication symbol

Step-by-step explanation:

The shed in Adam's backyard consists of two main figures: a rectangular prism and a triangular prism.

1. The rectangular prism has dimensions of: -Length = 5 feet

-Width = 6 feet

-Height = 8 feet

2. The triangular prism has dimensions of: -Base length = 3 feet

-Height of the triangle (perpendicular to the base) = 5 feet - Height of the prism = 8 feet

So, the shed consists of a rectangular prism with dimensions 5 fe by 6 feet by 8 feet and a triangular prism with base dimensions 3 by 5 feet and a height of 8 feet.

Answer:

The triangle whose vertices are x(3,2) y(-1,0)and z(1,-12).

=> xy = sqrt(4^2 + 2^2) = 4.472

=> xz = sqrt(2^2 + 14^2) = 14.142

=> yz = sqrt(2^2 + 12^2) = 12.166

=> Perimeter/2 = P = (xy + yz + xz)/2 = (4.472 + 14.142 + 12.166)/2 = 15.39

=> Applying Heron's formula, the area of triangle would be:

A = sqrt(P*(P-xy)*(P-xz)*(P-yz))

   = sqrt(15.39*(15.39 - 4.472)*(15.39 - 14.142 )*(15.39 - 12.166))

   = 26.001

   = ~26

Hope this helps!

:)

Answer:

The answer is option 3.

Step-by-step explanation:

First we have to find the area of both rectangle and triangle :

Rectangle,

[tex]area = base \times height[/tex]

Let base = 9,

Let height = 3,

[tex]area = 9 \times 3 \\ area = 27 \: {m}^{2} [/tex]

Triangle,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 3,

Let height = 3,

[tex]area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2} [/tex]

Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :

[tex]area = 27 - 4.5 \\ area = 22.5 \: {m}^{2} [/tex]

Answer:

its 22.5 because i did a sguare then divivded it by 2 then i added the rectangle

2.06 is equivalent to 2.060

The numbers 2.06 and 2.060 are equal. So, the correct symbol to represent their relationship is C. = (equal) Therefore, the correct answer is option c.

The numbers 2.06 and 2.060 have the same numerical value; they represent the same quantity. The difference between them is the way they are expressed in terms of decimal places.

2.06: This number has two decimal places.

2.060: This number has three decimal places.

However, since there are no digits beyond the third decimal place in either number, the extra zero in 2.060 doesn't change the value of the number. In other words, the two numbers are numerically identical.

Therefore, you can represent their relationship with the "equals" symbol ( = ), indicating that they are equal:

C. = (equal)

Therefore, the correct answer is option c.

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Answer:

Two.

Step-by-step explanation:

Simultaneous equation is a Finite sets of equations whose common solutions are sought.

Two solutions in the equation above is sought.

Final answer:

To calculate the number of 5-letter "words" with vowels on the ends from 'FORMULATED', you multiply the number of ways to choose the two vowels (4 x 3) by the number of ways to choose the three different consonants (6P3; 6 x 5 x 4), resulting in 1440 different possible "words."

Explanation:

To determine the number of 5-letter "words" that can be formed from the letters of the word FORMULATED with vowels at both ends, we need to consider two parts: the selection of vowels and the selection of consonants. The word FORMULATED contains four vowels (O, U, A, E) and six consonants (F, R, M, L, T, D).

First, we choose the vowels for the ends. There are 4 vowels, which means we can select the first vowel in 4 ways. After selecting the first vowel, we can still choose the second vowel from the remaining 3 vowels (since we are allowing repetitions). This gives us 4 x 3 possibilities for the vowels.

Now we select the consonants for the center three positions. We have 6 different consonants to choose from, and since each position must be filled with a unique letter, we can select these in 6P3 (6 permute 3) ways, which is calculated as 6 x 5 x 4.

Finally, to find the total number of 5-letter "words," we multiply the number of ways to choose the vowels by the number of ways to choose the consonants, giving us 4 x 3 x 6 x 5 x 4 which equals 1440 possible "words."