Can someone help explain why it cannot be determined pls

here is your answer.hope it helps you

The given answer choices for the median age of first-time marriage in the U.S. are not valid as they contain negative values, which do not make sense in this context. The median age of marriage cannot be negative.

In reality, the median age of first-time marriage in the U.S. varies over time and between genders. As of my knowledge cutoff in September 2021, the median age of first-time marriage for men was around 29 years, and for women, it was around 27 years. However, it's important to note that these values are subject to change as societal trends and norms evolve.

The median age of first-time marriage is the age at which 50% of the population gets married for the first time, meaning half of the individuals marry at an age below the median, and the other half marry at an age above the median. It is influenced by various factors, such as cultural norms, economic conditions, educational pursuits, and individual choices.

To obtain the most accurate and up-to-date information on the median age of first-time marriage, it is recommended to refer to reliable sources, such as government surveys, demographic studies, or reputable research institutions that regularly collect and report data on marriage statistics. These sources provide more reliable and precise estimates of the median age of first-time marriage for men and women in the U.S.

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Based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

It is used to predict and estimate the likelihood of future events and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability of rolling next is a 4:

The total number of times the die was rolled is:

⇒ 8 + 4 + 3 + 9 + 2 + 4 = 30

The number of times the die landed on 4 is 9.

Then, the probability of rolling next a 4 is:

⇒ 9/30 = 3/10

⇒ 9/30 = 0.3

Therefore, based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.

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Answer:

no se

Step-by-step explanation:

The answer is t= 2* 10^-10.

The refractive index of a medium is defined as how the light travels through that medium. It is a dimensionless measure. It defines how much a light ray can be bent when it enters from one medium to the other. Snell’s law clarifies the relation between the angle of incidence and angle of refraction. So, there are two formulas for calculating the refractive index of a medium. Let us imagine that a ray of light is travelling from a medium a to another medium b.

Given:

thickness = 4 cm

n= 1.5

Now,

t= distance travelled/speed

​= thickness of the slab/μ/c

where, μ is the refractive index and c is the velocity of light.

Given, μ=1.5 and thickness =4cm = 4*10^-2 m

t= 4*10^-2 m * 1.5/ 3* 10^8

t= 2* 10^-10

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A light travels through a sheet of glass with a thickness of 4 cm and a refractive index of 1.5. How far does this light travel in a vacuum, in the same time it went through the sheet?

Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

As per the confidence interval, the margin of error is 0.8882 inches.

At a significance level α = 0.05, we can use a one-tailed test since we are interested in whether the population mean height of PGA Tour golfers is greater than the population mean height of adult males. From the information given, the sample mean is 71.3 inches, and the population mean is 69.2 inches. The standard deviation is 2.2 inches, and the sample size is 20.

Using the formula, we calculate the test statistic as:

t = (71.3 - 69.2) / (2.2 / √(20)) = 2.74

The critical value for a one-tailed test with 19 degrees of freedom at α = 0.05 is 1.729. Since the test statistic is greater than the critical value, we reject the null hypothesis and conclude that there is evidence that PGA Tour golfers are generally taller than the average male.

Now, let's find a 90% confidence interval for the average height of all golfers on the PGA Tour. A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence.

Using the formula for a confidence interval, we calculate:

CI = x ± tα/2 x (s / √(n))

where x is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the critical value from the t-distribution with n-1 degrees of freedom and α/2 level of significance.

Substituting the values given, we get:

CI = 71.3 ± 1.729 x (2.2 / √(20)) = (70.212, 72.388)

Therefore, we are 90% confident that the true average height of all golfers on the PGA Tour falls within the range of 70.212 to 72.388 inches.

The margin of error is the distance between the sample mean and the upper or lower bound of the confidence interval. In this case, the margin of error is:

ME = tα/2 x (s / √(n)) = 1.729 x (2.2 / √(20)) = 0.8882

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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The angle of incline, of the target θ = 14.036.

The angle of elevation or depression can be calculated using the following formula: t a n = O A, where A is the horizontal distance between the observer and the point and O is the length of the side opposite the angle of elevation or depression, or the object's perpendicular distance from the horizontal line.

To calculate the slope percentage, multiply the result by 100 after dividing the height difference between two points by their separation. The rise is the height difference between two locations. The distance between the locations is known as the run. The result is that (rise / run) x 100 is equal to the percent slope.

Given,

the height of triangle = 12in

base of triangle = 48 in

tan θ = perpendicular / base

tanθ = 12/48

θ = tan ⁻¹( 12/48)

θ = 14.036

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Complete question -

Alex didn't answer it correctly, because if you see the part where it says  -5x - (-7...

it has two minus signs, one in front of the parantheses, and one behind it.

Since they cancel each other, the 7 would be positive.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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The given equations are as follows

\(\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}\)

(1) First, multiply both sides of equation A by 4, we have

\(4\times\left(\frac{x}{4} +1\right)=4\times(-3)\)

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

\(4\times\frac{x}{4}+4\times1=4(-3)\)

\(\Rightarrow x+4=-12\)

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Answer:

they took off 35$

Step-by-step explanation:

hope this helps

Answer:

$35

Step-by-step explanation:

10 divided by 350 = $35

The flux of the vector field F through the cone is zero.

To find the flux of the vector field F = 5xy i - 2z k outward through the cone z = 6 square root x^2 +y^2 with 0 ≤ z ≤ 6, we need to first parameterize the cone. Let x = r cos θ and y = r sin θ, where r ≥ 0 and 0 ≤ θ ≤ 2π, then we have z = 6r for the cone.

Now we can compute the unit normal vector n as n = (zr/6) cos θ i + (zr/6) sin θ j + (z/6) k, and then calculate the dot product F · n as F · n = 5xy (zr/6) - 2z (z/6) = (5/6)zr^2 cos θ sin θ - z^2/3.

The double integral of F · n over the cone is then given by:

doubleintegral_S F · n dS = doubleintegral_R (5/6)zr^2 cos θ sin θ - z^2/3 r dr dθ

where R is the region in the xy-plane that corresponds to the base of the cone.

Integrating with respect to r first, from 0 to 6, we get:

doubleintegral_S F · n dS = integral_0^(2π) integral_0^6 (5/18)z^3 cos θ sin θ - (1/9)z^3 r dr dθ

Evaluating the integral with respect to r and then θ, we obtain:

doubleintegral_S F · n dS = 0

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Answer:

  y = (x -1)² -3

Step-by-step explanation:

A quadratic with a vertex at (h, k) will have an equation of the form ...

 y = a(x -h)² +k

You have (h, k) = (1, -3), and a vertical scale factor* of 1. So, the equation of the graphed curve is ...

  y = (x -1)² -3

_____

* One way to determine the value of "a" in the form shown is to look at the vertical difference between the vertex and the points 1 unit right or left of the vertex. Here, those points are 1 unit above the vertex, so the vertical scale factor "a" is 1.

Answer:

1306.24 cm².

Step-by-step explanation:

From the diagram given above, we obtained the following information:

Radius (r) = 13 cm

Pi (π) = 3.14

Slant height (l) = 19 cm

Surface Area (SA) =.?

The surface area of the cone can be obtained as follow:

SA = πr² + πrl

SA = πr ( r + l)

SA = 3.14 × 13 ( 13 + 19)

SA = 40.82 (32)

SA= 1306.24 cm²

Therefore, the surface area of the cone is 1306.24 cm².

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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\(\left(0.5 \dfrac{g}{m^3}\right)(1 000 000 000 m^3) = 500 000 000 g\)

Note that the \(m^3\) canceled out.

An average cloud has a mass of 500,000,000 g.  

In mathematics, a number is considered to be "even" if it is divisible by 2, and "odd" if it is not divisible by 2. The numbers from 1 to 100 can be divided into two groups: even numbers and odd numbers.

Even numbers are numbers that are divisible by 2, such as 2, 4, 6, 8, and so on. When you divide an even number by 2, the remainder will always be 0. Some examples of even numbers between 1 and 100 include: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, and 100.

Odd numbers are numbers that are not divisible by 2, such as 1, 3, 5, 7, and so on. When you divide an odd number by 2, the remainder will always be 1. Some examples of odd numbers between 1 and 100 include: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, and 99.

It is important to note that 0 is not a positive or negative number and it is not considered as odd or even.

Knowing the difference between even and odd numbers is an important concept in math, especially when working with patterns, sequences, and operations. Understanding even and odd numbers can help you better understand the properties of numbers and how they can be used in different contexts.

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Answer:

m = -11/7

n = -8/7

Step-by-step explanation:

Here, what we want to calculate is the coordinates of the point B

Let’s consider the straight line as A B C

we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5

Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B

Mathematically, the formula for internal division is given as follows;

B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

From the question;

m:n = 2:5

Thus m = 2, n = 5

(x1,y1) are coordinates of A

x1 = -3 , y1 = -4

(x2, y2) are coordinates of C

x2 = 2 , y2 = 6

Thus, substituting these values into the equation we have;

B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)

B = (-11/7, -8/7)

The quotient of √x ³ / √5 x ² is √ ( x / 5 )

To find : the product of √x ³ / √5 x ²

By checking the power of roots for each term

The terms which are given are √x ³ and √5 x ²

Since both the numbers have the same root power they can be combined under the same square root for further operation

Dividing the terms

=> √ ( x ³ / 5 x ² )

=> √ ( x / 5 )

Therefore, we get the quotient of √x ³ / √5 x ² as √ ( x / 5 ).

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Answer:

-140

Step-by-step explanation:

Answer:

46 ≥ 2m + 4

m ≥ 21

Step-by-step explanation:

At least is ≥

Karen's age = 46 years old

Mary's age = m years old

Karen is at least 4 years more than twice mary's age (m).

46 ≥ 2m + 4

46 - 4 ≥ 2m

42 ≥ 2m

m ≥ 42/2

m ≥ 21

Using distributive property, the simplification of the expression shows that the given expression is already simplified.

To simplify expressions first expand any brackets, next multiply or divide any terms and use the laws of indices if necessary, then collect like terms by adding or subtracting and finally rewrite the expression.

t - 2 / v - 3

Let's combine the numerator with the denominator

(t - 2)(v - 3) / (v - 3)

Expand the expression using distributive property

tv - 3t - 2v + 6 / (v - 3)

We can factor as;

(t - 2)(v - 3) / (v - 3)

Cancel both sides

(t - 2) / (v - 3)

The expression has already been simplified

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

I think it's the last one

Step-by-step explanation:

The value of the product expression given as (-2.655) (18.44) is -48.9582

The expression is given as

(-2.655) (18.44)

To evaluate the expression, we make use of partial multiplication

So, we start by expressing 18.44 as 18 + 0.44

So, we have

(-2.655) (18.44) = (-2.655) (18 + 0.44)

Open the brackets in the above expression

So, we have

(-2.655) (18.44) = (-2.655)* 18 + (-2.655) * 0.44

Open the brackets in the above expression

So, we have

(-2.655) (18.44) = -2.655 * 18 - 2.655 * 0.44

Evaluate the products in the above expression

So, we have

(-2.655) (18.44) = -47.79 - 1.1682

Evaluate the difference in the above expression

So, we have

(-2.655) (18.44) = -48.9582

Hence, the value of the product expression given as (-2.655) (18.44) is -48.9582

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Answer:

If it's (0.084×0.81)÷(0.027×0.04) then the answer is 63

if it's just 0.084×0.81÷0.027×0.04 then the answer is,

63/625 or, 0.1008

Answered by GAUTHMATH

Answer:

0.1008

Step-by-step explanation:

0,81 ÷ 0,027=30

30×0.04=1.2

1,2×0.084=0.1008