Be granted 10 points plus brainliest

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{47.5\% of 1600}}{\left( \cfrac{47.5}{100} \right)1600}\implies 760~\hfill \underset{ females }{\stackrel{1600~~ - ~~760 }{\text{\LARGE 840}}}\)

If the diagonal of a rhombus id x-4d and x+ 4d then the area of rhombus is (x² - 16d²) / 4 unit²

In a rhombus, the diagonals are perpendicular bisectors of each other, and they divide the rhombus into four congruent right triangles. Let's call the length of one half of the diagonal "a" and the length of the other half of the diagonal "b". So we have:

a = (x - 4d) / 2

b = (x + 4d) / 2

The area of a rhombus can be calculated as half the product of its diagonals, or as half the product of its side lengths:

Area = (1/2) × a × b × 2

Area = a × b

Substituting the expressions for "a" and "b" from above, we get:

Area = [(x - 4d) / 2] × [(x + 4d) / 2]

Area = (x² - 16d²) / 4

Therefore, the area of the rhombus is (x² - 16d²) / 4 square units.

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To find the exact length of the curve defined by the parametric equations x = 9 + 3t^2 and y = 5 + 2t^3, where 0 ≤ t ≤ 3, we can use the arc length formula for parametric curves.

The arc length formula is given by:

L = ∫[a,b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt

First, let's calculate the derivatives dx/dt and dy/dt:

dx/dt = d/dt (9 + 3t^2) = 6t

dy/dt = d/dt (5 + 2t^3) = 6t^2

Now, we can substitute these derivatives into the arc length formula and integrate with respect to t:

L = ∫[0,3] √[ (6t)^2 + (6t^2)^2 ] dt

 = ∫[0,3] √[ 36t^2 + 36t^4 ] dt

 = ∫[0,3] 6t √[ t^2 + t^4 ] dt

To simplify the integrand, we can factor out t^2:

L = 6 ∫[0,3] t √[ t^2 (1 + t^2) ] dt

 = 6 ∫[0,3] t^2 √[ 1 + t^2 ] dt

Now, let's make a substitution u = 1 + t^2:

du = 2t dt

When t = 0, u = 1, and when t = 3, u = 10.

The integral becomes:

L = 6 ∫[1,10] √u du

To evaluate this integral, we can use the power rule:

L = 6 * (2/3) * [u^(3/2)] | [1,10]

 = 4 * (10^(3/2) - 1^(3/2))

 = 4 × (10√10 - 1)

Therefore, the exact length of the curve is 4 × (10√10 - 1).

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Answer: Yes, it will be enough.

Step-by-step explanation:

I will answer this in English:

We have 27 students and 81 units, we want to give 3 units to each student.

This is only possible if the quotient betwen 81 and 3 must be bigger than 27.

Lets do it:

81/3 = 27

So we have exactly enough for the 27 students.

Answer:

x=-2

Step-by-step explanation:

-2 * -2 * -2 = -8

Answer:

20 fish.

Step-by-step explanation:

Convert ratio to fraction:

There were 5 / (5 + 2) = 5/7 of fish.

So number of fish = 5/7 * 28

= 20.

Answer: 24c

Step-by-step explanation:

c = cost

6x4=24

24 times the amount it costs per hour c

24c

Answer:

it's the 1st one .......

Answer:

goodgydudufjdjdjdjdururirurur7rigjfifut

Step-by-step explanation:

goodghdhfudjdjsdhydydbsjshhdvrjeiid

To find the value of tan(θ), we first need to calculate the values of sine and cosine for the given point (4, 3) terminal side. We can use the Pythagorean theorem to find the length of the hypotenuse (r):

r = √((4)^2 + (3)^2) = √(16 + 9) = √25 = 5

Now, we can find sin(θ) and cos(θ) at the terminal side:

sin(θ) = opposite/hypotenuse = 3/5
cos(θ) = adjacent/hypotenuse = 4/5

Then, we can calculate tan(θ):

tan(θ) = sin(θ) / cos(θ) = (3/5) / (4/5) = 3/4

Now we need to find tan(2θ). We can use the double-angle formula for tangent:

tan(2θ) = (2 * tan(θ)) / (1 - tan^2(θ))

Substitute the value of tan(θ):

tan(2θ) = (2 * (3/4)) / (1 - (3/4)^2) = (3/2) / (1 - 9/16) = (3/2) / (7/16)

Now, we'll multiply by the reciprocal to solve for tan(2θ):

tan(2θ) = (3/2) * (16/7) = 24/7

So, tan2θ = 24/7. Your answer is: 24/7

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Solition for \(x^2-4=0\) is \(\pm2\)

Ans: x₁=-2; x₂=2

The number for which the sample standard deviation is exceeded with a probability of 0.01 is approximately 29.143.

To find the probability that the sample standard deviation is bigger than a certain number, we can use the chi-square distribution.

Given:

Sample size (n) = 15

Standard deviation of the population (σ) = 1.8%

Significance level (α) = 0.01 (1%)

To find the critical chi-square value, we need to determine the degrees of freedom. For a sample standard deviation, the degrees of freedom are (n - 1).

Degrees of freedom (df) = 15 - 1 = 14

Using a chi-square distribution table or calculator with 14 degrees of freedom and a significance level of 0.01, we find the critical chi-square value to be approximately 29.143.

The probability that the sample standard deviation is bigger than a certain number can be interpreted as the probability of having a chi-square value greater than that number.

Therefore, the probability that the sample standard deviation is bigger than the critical chi-square value of 29.143 is 0.01 or 1%.

In summary, the probability is 0.01 that the sample standard deviation is bigger than 29.143.

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Answer:

october

Step-by-step explanation:

the months are going 3 at a time.

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.

Here,

Let AD and DC are 2x and x respectively.

We have, BC = 10 units

=> 2x =10

=> x = 10/2

=> x= 5

Now ,

=> AP + PF = 8 + y

=> 8 + y = 12

=> y =4

Therefore , the solution of the given triangle comes out to be  AC = 10 units and PD = 6 units.

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Considering the Empirical Rule, it is found that the distribution of the average July 1st temperature in Pittsburgh, PA, is approximately normal.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In this problem, the mean and the standard deviation are given as follows:

Within one standard deviation of the mean, the bounds are given as follows:

The percentage of temperatures in this range is:

(4 + 12 + 5)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% = 68% (approximately).

Within two standard deviation of the mean, the bounds are given as follows:

Hence the percentage is:

(2 + 2 + 4 + 12 + 5 + 2 + 2)/(1 + 2 + 2 + 4 + 12 + 5 + 2 + 2 + 1) x 100% =94% (approximately)

100% of the measures will be within three standard deviations of the mean. All of the percentages are close to the percentages established by the Empirical Rule, hence it can be said the distribution is normal.

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Answer:

5.1

Step-by-step explanation:

ik i am in the future

Answer The answer is biased.

Answer: 2x64=128

hope this helps

Answer:

16

Step-by-step explanation:

\(8 - ( - 8) = 8 + 8 = 16\)

Answer:

7

Step-by-step explanation:

KU=UM

3x+3=4x-4

x= 7

Answer: A) 1, 2, 4

Step-by-step explanation:

The range of a function is every y value.

Answer:

A. {1, 2, 4}

Step-by-step explanation:

Well let’s take a step back,

What is range?

Range is the amount of y-value son a graph or table.

So the range is (1, 4, 2)

Answer: y = -3/5x - 6

Step-by-step explanation:

There are a few equations that can be used for this, but the simplest one would be y = mx + b

We are given:

y = -3

m = -3/5 (slope)

x = -5

b = ?

Our equation is this, we are solving for b

==> -3 = -3/5 ( -5) + b

==> -3 = -3/5 ( -5) + b ( multiply the brackets)

==> -3 = 3 + b ( subtract 3 to both sides)

==> -6 = b

Now we can make the desired equation in slope intercept form;

y = -3/5x - 6

Hope this helped! Have a great day :D

Given function is

z=f(x,y)=(xy)²-ln(xy)

To find: fxy and fyx We have the function

z=f(x,y)=(xy)²-ln(xy)

Differentiate the function partially w.r.t x keeping y constant

f(x,y)=(xy)²-ln(xy)

Differentiating partially w.r.t x keeping y constant gives:

∂f/∂x = 2xy - (1/x)

equation (1)Differentiate the function partially w.r.t y keeping x constant

f(x,y)=(xy)²-ln(xy)

Differentiating partially w.r.t y keeping x constant gives:

∂f/∂y = 2yx - (1/y) equation

(2)Hence, the values of fxy and fyx are given by

fxy ≡ ∂²f/∂y∂x = ∂/∂y(2xy - (1/x)) = 2xfyx

∂²f/∂x∂y = ∂/∂x(2yx - (1/y)) = 2y

Therefore,

fxy = 2x

and f

yx = 2y

Thus, the correct options are:fxy ≡ 2xy-1/y2fyx ≡ 2xy-1/x2

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