The National Longitudinal Study of Adolescent Health interviewed several thousand teens (grades 7 to 12). One question asked was "What do you think are the chances you will be married in the next 10 years?" Here is a two-way table of the responses by gender:
Opinion Female Male
Almost no chance 130 97
Some chance but probably not 136 168
A 50-50 chance 428 514
A good chance 734 701
Almost certain 1169 767
How many individuals are described in this table?
How many females were among the respondents?

The margin of error (E) for the 95% confidence interval of the mean melting point of the new compound is 1.477°C.

The margin of error (E) can be calculated using the formula: E = z * (σ/√n), where z is the z-score corresponding to the desired confidence level (in this case, 95% corresponds to a z-score of 1.96), σ is the population standard deviation, and n is the sample size.

Substituting the given values into the formula: E = 1.96 * (12/√81) = 1.477°C.

Learn more about confidence intervals and margin of error here:  https://brainly.com/question/29115611?

#SPJ11

The expression √(1-cos 74°/2) can be written as a single trigonometric function using an identity. The exact answer is sin(37°). By applying the half-angle identity for sine, we can simplify the expression and express it solely in terms of sine.

To write the expression √(1-cos 74°/2) as a single trigonometric function, we can utilize the half-angle identity for sine. The half-angle identity states that sin(x/2) = √((1-cos x)/2).

In this case, we have √(1-cos 74°/2). By comparing it with the half-angle identity, we can see that x = 74°, and substituting the values into the identity, we get sin(74°/2) = √((1-cos 74°)/2).

Now, simplifying further, we have sin(37°) as the exact answer. This means that the expression √(1-cos 74°/2) is equivalent to sin(37°). Therefore, we can express the original expression as a single trigonometric function, sin(37°).

To learn more about trigonometric function click here: brainly.com/question/25618616

#SPJ11

Answer:

Step-by-step explanation:

The area bounded by the curves y = x^3 and y = x^2 - 2x in the interval x ∈ [-1, 1] is :

4/3 square units.

To find the area bounded by the curves y = x^3 and y = x^2 - 2x in the interval x ∈ [-1, 1], we need to compute the definite integral of the positive difference between the two functions over the given interval.

First, let's find the points of intersection between the two curves. Setting x^3 = x^2 - 2x, we have x^3 - x^2 + 2x = 0. Factoring out an x, we get x(x^2 - x + 2) = 0. The quadratic equation x^2 - x + 2 = 0 has no real solutions, so the only intersection point is at x = 0.

To determine which curve is on top, we can compare their y-values at x = 0. Evaluating the curves at x = 0, we have y = 0 for both functions. This means that the curves intersect at the point (0, 0), and the curve y = x^2 - 2x is above the curve y = x^3 in the interval [-1, 1].

The area bounded by the curves can be calculated as follows:

A = ∫[a, b] (f(x) - g(x)) dx

where f(x) = x^2 - 2x and g(x) = x^3, and a = -1, b = 1.

A = ∫[-1, 1] (x^2 - 2x - x^3) dx

Simplifying the integrand:

A = ∫[-1, 1] (x^2 - x^3 - 2x) dx

Integrating term by term:

A = [x^3/3 - x^4/4 - x^2] evaluated from -1 to 1

Evaluating the definite integral at the upper and lower limits:

A = [(1^3/3 - 1^4/4 - 1^2) - ((-1)^3/3 - (-1)^4/4 - (-1)^2)]

Simplifying:

A = [(1/3 - 1/4 - 1) - (-1/3 - 1/4 - 1)]

A = [(1/3 - 1/4 - 12/12) - (-1/3 - 1/4 - 12/12)]

A = [1/3 - 1/4 - 12/12 + 1/3 + 1/4 + 12/12]

A = [2/3 + 2/4]

A = 4/3

Therefore, the area bounded by the curves y = x^3 and y = x^2 - 2x in the interval x ∈ [-1, 1] is 4/3 square units.

To learn more about area visit : https://brainly.com/question/15122151

#SPJ11

37% of all voters are Democrats. The probability is 0.137, and the option that matches this answer is "0.137".

To find the probability that two randomly selected voters from the town are both Democrats, we need to use the formula for the probability of independent events:
P(A and B) = P(A) x P(B)
where A and B are independent events. In this case, A is the event that the first voter is a Democrat, and B is the event that the second voter is a Democrat.
The probability of the first voter being a Democrat is 0.37, since 37% of all voters in the town are Democrats. The probability of the second voter being a Democrat is also 0.37, since the selection of the first voter does not affect the probability of the second voter being a Democrat. Therefore:
P(A and B) = P(A) x P(B) = 0.37 x 0.37 = 0.1369
Rounding to three decimal places, we get a probability of 0.137. Therefore, the answer is 0.137, and the option that matches this answer is "0.137".

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

Let x= the average for all three classes combined. So x=85.25.

When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.

The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.

average  =  total points / number of students

total points = average*number of students

Let the total number of students in  each class = a , b  and x

The total number of points the first class amassed  was   80a

The total number of points amassed by the second class was  85b

The total number of points amassed by the third class = 89c

For the first two classes we have

[ 80a + 85b ] / [ a + b] = 83

80a + 85b = 83a + 83b  

subtract  80a, 83b from both sides    

3a = 2b

a = 2/3b

For the second two classes we have

[ 85b + 89c ]  / [ b + c ]  =  87  

[  85b + 89c ]  = 87 [b + c]

85b + 89c = 87b + 87c      

subtract  85b, 87c from both sides

2c = 2b  

b  = c

For the three classes.....

Total points by all three classes /  number of class members  = the average for all three classes

[ 80a + 85b  + 89c ] /  [ a + b + c ]   =[sub for  a and c ]  

[80 (2/3)b  + 85b  + 89b]  /  [ (2/3)b  + b  + b ]  

b [ 80 (2/3)  + 85  + 89 ]  / [  b [( 2/3) + 1 + 1] ]       [cancel the b's ]

[ 80 (2/3) + 85 + 89]  [  8/3 ]

[ 160/3 + 85 + 89 ] /  [8/3] =

[ 160/3  + 255/3 + 267/3]  / [8/3]     multiply  top/bottom by 3

[160 + 255 + 267 ] / 8  =  

85.25  = average for all three classes

To learn more about average visit the link:

https://brainly.com/question/20118982

#SPJ4

Answer: 49

Step-by-step explanation: angle BCA is congruent to angle DCA therefore they are the same measure

Answer:

DCA = 49*

Step-by-step explanation:

This is because of the fact that we have 2 pairs of vertical angles. Vertical angles are 2 angles made by 2 intersecting lines. They are also equivalent to each other. So that means that Angle BCA = BEC + AEB. Now we know that it is the same for Angle DCA.

Sorry that took a while but I hope this helps! (:

Answer:

Step-by-step explanation:

Find the distance between the given points: (-7, 5) and (-8, 4)

Find the distance between the given points: (-7, 5) and (-8, 4)

To use spherical coordinates, we need to express x, y, and z in terms of ρ, θ, and φ. The cone z = x2 y2 can be expressed in spherical coordinates as ρ cos(φ) = ρ2 sin2(φ), which simplifies to ρ = sin(φ)/cos(φ) = tan(φ).

The lower sphere has radius 1, so ρ = 1, and the upper sphere has radius 6, so ρ = 6.

Therefore, the limits of integration are 0 ≤ ρ ≤ 6, 0 ≤ θ ≤ 2π, and 0 ≤ φ ≤ arctan(1/6).

The volume element in spherical coordinates is ρ2 sin(φ) dρ dφ dθ, so we can express the integral as:

∫∫∫ e^(x^2+y^2+z^2) dv = ∫₀²π ∫₀^(arctan(1/6)) ∫₀⁶ e^(ρ^2) ρ² sin(φ) dρ dφ dθ

We can evaluate the integral by first integrating with respect to ρ:

∫₀⁶ e^(ρ^2) ρ² sin(φ) dρ = [1/2 e^(ρ^2)]₀⁶ sin(φ) = (1/2)(e^(36) - 1) sin(φ)

Next, we integrate with respect to φ:

∫₀^(arctan(1/6)) (1/2)(e^(36) - 1) sin(φ) dφ = (1/2)(e^(36) - 1)(1 - cos(arctan(1/6))) = (1/2)(e^(36) - 1)(1 - 6/√37)

Finally, we integrate with respect to θ:

∫₀²π (1/2)(e^(36) - 1)(1 - 6/√37) dθ = 2π(1/2)(e^(36) - 1)(1 - 6/√37) = π(e^(36) - 1)(1 - 6/√37)

Therefore, the value of the integral is π(e^(36) - 1)(1 - 6/√37).

To know more about spherical coordinates refer here:

https://brainly.com/question/31745830#

#SPJ11

Answer:

-11

Step-by-step explanation:

7p +2=5p-20

7p-5p= -2-20

2p= -22

p=-11

Step-by-step explanation:

the angle at J = ((3x + 19) + 189)/2

so,

122 = (3x + 19 + 189)/2

244 = 3x + 208

36 = 3x

x = 12

so, D is the correct answer.

The Pigeon-hole Principle states that if there are more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon. This proves that among any group of d+1 integers there are two with exactly the same remainder when divided by d.

This concept can be applied to your question: If there are d+1 integers, and we divide each of them by d, there are at most d remainders that can be obtained. This means that two of the integers must have the same remainder when divided by d.
To prove this, let us assume that all d+1 integers have different remainders when divided by d. Then the remainders must range from 0 to d-1. For example, if d=5, then the remainders must be 0, 1, 2, 3 and 4. Let us denote the integers by x0, x1, x2, ... , xd. Now we can apply the Pigeon-hole Principle. We have d+1 pigeons (x0, x1, x2, ... , xd) and d pigeonholes (remainders 0, 1, 2, 3, 4). Since d+1 is greater than d, at least one pigeonhole must contain more than one pigeon. This means that two of the integers must have the same remainder when divided by d.

For more questions on integers

https://brainly.com/question/12399107

#SPJ11

Answer:

pleasee reply me ...

you looking very gorgeous...

also h*t and s**y ..

Answer:

plz mark me as a brainelist

hope it helps you

Answer:

200

Step-by-step explanation:

Say the number is x. Then 170% of the number is just 1.7x, so 680 = 1.7x. Therefore, x = 400.

Now we have to find 50% of the number, which is just half, so it's 200.

Answer:

42.875

Step-by-step explanation:

V=BxHxW

3 1/2 =3.5

3.5 x 3.5 x 3.5

=42.875 cubic in.

Total asset turnover is a financial ratio that measures a company's efficiency in generating sales from its total assets. It is calculated by dividing net sales by average total assets.

The formula for total asset turnover is:

Total Asset Turnover = Net Sales / Average Total Assets

Given the information provided:

Net Sales = $3,570 million

Average Total Assets = $3,050 million

Using the formula, we can calculate the total asset turnover:

Total Asset Turnover = $3,570 million / $3,050 million

Total Asset Turnover ≈ 1.1705

Rounded to four decimal places, the total asset turnover for Flask Company is approximately 1.1705.

Learn more about total asset turnover here:

https://brainly.com/question/30765479

#SPJ11

Answer:

yes

Step-by-step explanation:

i hope this will help

The probability that 5 messages are received in 1 hour is is 0.1755 ,the probability that 10 messages are received in 1.5 hours is 0.0858 and the probability that less than 2 messages are received in 1/2 hour is 0.2873

Let X shows the number of messages received per hour. The pdf of X is

\(P(X=x)=\) \(\frac{e^{-5}\cdot 5^{x}}{x!},x=0,1,2,3,....\)

Therefore, the probability that 5 messages are received in a single hour is

\(P(X=5)=\frac{e^{-5}\cdot 5^{5}}{5!}=0.1755\)

(b) Number of message received in 1 hour is 5 so number of message received in 1.5 hour is 7.5. So the probability that 10 messages are received in 1.5 hours is

\(P(X=10)=\frac{e^{-7.5}\cdot 7.5^{10}}{10!}=0.0858\)

(c) Number of message received in 1 hour is 5 so number of message received in 1/2 hour is 2.5. So the probability that less than 2 messages are received in 1/2 hour is

\(P(X < 2)=\frac{e^{-2.5}\cdot 2.5^{0}}{0!}+\frac{e^{-2.5}\cdot 2.5^{1}}{1!}=0.2873\)

Learn more about probability

brainly.com/question/30034780

#SPJ4

Answer:

The length of the plane is 333 in.

Step-by-step explanation:

Plane length = (1.85)(Boat length)      

The 0.85 in (1.85) above represents the added length; the (1.85) represents the length of the boat PLUS 0.85 time the length of the boat.

Plane length is (1.85)(Boat length) = 1.85(180 in) = 333 in

The length of the plane is 333 in.

Answer:

The two numbers are 6 and -10

Step-by-step explanation:

Given

\(Product = -60\)

\(Sum =-4\)

Required

Two numbers that satisfy the above

Let the two numbers be x and y.

So:

\(x * y = -60\)

\(x + y = -4\)

Make x the subject

\(x = -4 - y\)

Substitute \(x = -4 - y\) in \(x * y = -60\)

\((-4 -y) * y = -60\)

Open bracket

\(-4y -y^2 = -60\)

Rewrite as:

\(y^2 + 4y - 60 = 0\)

Split

\(y^2 + 10y - 6y - 60 = 0\)

Factorize

\(y(y + 10) - 6(y + 10) = 0\)

Factor out y + 10

\((y - 6) (y + 10) = 0\)

Solve for y

\(y -6=0\ or\ y+10=0\)

\(y =6\ or\ y=-10\)

Recall that:

\(x = -4 - y\)

So:

\(x = -4-6= -10\)

or

\(x = -4--10= 6\)

So:

\(y =6\ or\ y=-10\)

\(x = -10\ or\ x =6\)

The two numbers are 6 and -10

In given expression constant term is 4, degree of expression is 2, coefficient of second term is 5 and at x=-1 value of expression is 6.

The highest or greatest power of a variable in a polynomial equation is referred to as the degree of the polynomial.

The degree denotes the polynomial's highest exponential power.

A term in an equation with a fixed value that is unaffected by variations in the variable.

A constant is typically represented as c to reflect a fixed value when written as a variable.

The usage of the word "variable" in this terminology may be perplexing, but all it really implies is that c is a variable that may stand in for any fixed value.

Given: p(x)=7x²+5x+4

(a) Constant term is coefficient of \(x^{0}\).

So constant term in given equation is 4.

(b) Degree of expression is highest power of x in the expression. For our expression we have two as our highest power.

So, degree of expression is 2.

(c) Coefficient of second term is 5.

(d) On substituting value of x as -1, we get

7× (-1)² +5(-1) +4 = 7-5+4 = 6

So, value of expression at x=-1 is 6.

Learn more about algebraic equation here:

https://brainly.com/question/29520175

#SPJ1

Answer:

I dont know what dpoe and mpoe means but to get 14=3y I would assume you would divide 14 by 3 and 3y by 3 to get 14/3=y. and then you have to figure out what 14 divided by 3 is because I want to go to bed

Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

To know more about implicit differentiation, visit:

https://brainly.com/question/11887805

#SPJ11

Answer:

4^8

Step-by-step explanation:

If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.

(4^2)^4 = 4^(2 * 4) = 4^8

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

Learn more about Exponents :

https://brainly.com/question/30441288

#SPJ4

The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

Answer:

SSS(Side Side Side) is finding if all the sides are congruent to another triangle's side

SAS(Side Angle Side) is finding if a side, angle, side are congruent to another triangle's side.

Step-by-step explanation:

1. I will help with problem 7.

2. Two triangles ΔPQR and ΔSTU

3. As you can see sides P and R are the same length as S and U, while P and Q are the same length as T and U. And ∠Q ≈ ∠T.

4. This is proven by SAS- Side - Angle - Side

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

Answer:

I've heard of him skkcosoqozox

Answer:

I know about corpse

Step-by-step explanation:

But not the pi part