please help geometry

Step-by-step explanation:

To find the percentage increase, we use the following formula:

percentage increase = (new value - old value) / old value * 100%

In this case, the old value is 25 and the new value is 86. So, we can plug these values into the formula:

percentage increase = (86 - 25) / 25 * 100% = 244%

Therefore, the percentage increase from 25 to 86 is approximately 244%.

Answer:

244% increase

Step-by-step explanation:

Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40

Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.

Answer:

\(\huge\boxed{\sf x = 60\°}\)

Step-by-step explanation:

So,

100 + x + 20 = 180

x + 120 = 180

x = 180 - 120

x = 60°

\(\rule[225]{225}{2}\)

Answer:

Surface area of cube = 6x²

surface area of cube = surface area of sphere

it means that 6x²=4πr²

x²=

\( \frac{4\pi {r}^{2} }{6} = \frac{4 \pi9}{6} = \frac{4\pi3}{2} = 6\pi\)

\(x = \sqrt{6\pi} \)

\( \sqrt{6\pi} = \sqrt{k\pi} \)

\(6\pi = \pi \: k\)

\(k = 6\)

We have two triangles given in the problem, in which we have to calculate angle B. Let's consider Triangle ABC first. In triangle ABC:Angle A = 150°, Angle C = 180° - 90° - 150° = 30°

The sum of the angles in a triangle = 180°.∴ Angle B = 180° - Angle A - Angle C= 180° - 150° - 30°= 0°

Now let's consider triangle CDEIn triangle CDE: Angle D = 90°, Angle C = 30°The sum of the angles in a triangle = 180°.∴ Angle E = 180° - Angle C - Angle D= 180° - 30° - 90°= 60°

Now in triangle ABE, AB = 8.5 and BE can be calculated as:BC/BE = sin(E) => BE = BC/sin(E) => BE = 19.5749 / sin(60) => BE = 22.5Using the cosine rule:cos(B) = (AB² + BE² - AE²)/(2 x AB x BE)cos(B) = (8.5² + 22.5² - 20.7897²)/(2 x 8.5 x 22.5)cos(B) = 0.6971B = cos-1(0.6971) = 45.29°So, the angle of B is 45.29 degrees.

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Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

Answer:

35 ; 6

Step-by-step explanation:

a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

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The probability they choose all democrats is 0.01805

From the question, we have the following parameters that can be used in our computation:

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

using the above as a guide, we have the following:

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

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Answer:

Point slope form

\(y=mx+b\)

Answer:

414

Step-by-step explanation:

87+41=128

542-128=414

The slope of the line is 8, which represents the rate at which the amount of money in the account is increasing per week.

An equation is a mathematical statement that asserts that two expressions have the same value. It typically consists of two parts: the left-hand side, which contains one expression, and the right-hand side, which contains another expression. The two sides are separated by an equal sign. The goal of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Here,

The graph is not shown, but based on the given information, we can determine the slope of the line using the slope-intercept form of a linear equation:

y = mx + b

where y is the amount of money in the account, x is the number of weeks, m is the slope (the rate at which the money in the account is changing), and b is the y-intercept (the initial amount of money in the account). We know that Fred starts with 6 dollars in the account (y-intercept), and deposits 8 dollars each week (slope). Therefore, the equation for the line is:

y = 8x + 6

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Complete question:

Fred starts with 6 dollars in a bank account. He deposits exactly 8 dollars each week, and does not take any money out. The graph below represents the relationship between the number of weeks and the amount of dollars in the account. What is the slope of the line?

Considering the distributive property, the factored expression is given as follows:

3/4(x + 3).

The expression for this problem is defined as follows:

3/4x + 9/4.

The common factor to both terms of the expression is given as follows:

3/4, as 3 x 3/4 = 9/4.

Hence the factored expression is given as follows:

3/4(x + 3).

Applying the distributive property, multiplying the outer term 3/4 by both of the inner terms and combining them, we go back to the original expression.

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The variance of (X + Y)/2 is 5/9. The variance of a random variable is defined as E[(X - E[X])^2], where E[X] is the expected value of the random variable.

We are given the joint probability density function of X and Y as f(x,y) = (x+y)/8 for 0 < x < 2 and 0 < y < 2.

We need to find the variance of (X + Y)/2.

Let Z = (X + Y)/2. Then, the expected value of Z is:

E[Z] = E[(X + Y)/2] = E[X]/2 + E[Y]/2

We can find E[X] and E[Y] as follows:

E[X] = ∫∫x f(x,y) dxdy = ∫∫x(x+y)/8 dxdy

= ∫0²∫0²x(x+y)/8 dydx = 2/3

Similarly, E[Y] = 2/3.

Therefore, E[Z] = 2/3.

Now, we need to find E[Z^2]:

E[Z^2] = E[(X + Y)^2/4] = E[X^2]/4 + E[Y^2]/4 + E[XY]/2

We can find E[X^2], E[Y^2], and E[XY] as follows:

E[X^2] = ∫∫x^2 f(x,y) dxdy = ∫0²∫0²x^2(x+y)/8 dydx = 2

E[Y^2] = ∫∫y^2 f(x,y) dxdy = ∫0²∫0²y^2(x+y)/8 dydx = 2

E[XY] = ∫∫xy f(x,y) dxdy = ∫0²∫0²xy(x+y)/8 dydx = 1/2

Therefore, E[Z^2] = (2/4) + (2/4) + (1/4) = 1.

Finally, we can find the variance of Z as:

Var(Z) = E[Z^2] - E[Z]^2 = 1 - (2/3)^2 = 5/9.

Therefore, the variance of (X + Y)/2 is 5/9.

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Absolute maximum: (0,4) Since it is the highest point in the interval.

Absolute minimum: (-3,-5) Since it is the lowest point in the interval.

Answer: 25 kilometers for part A. 12 for part B.

Step-by-step explanation: Teacher told the answer.

It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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Answer:

n(2) + p(60) = x

Step-by-step explanation:

Answer:

It would be 0.60p + 2n.

Answer:

500 ml

Step-by-step explanation:

1 liter = 1 000 ml

1 / 2 liters = 1000 ml /2 = 500 ml

1000ml - 500 ml = 500 ml

The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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The results are as follows: (a) f(1) = -4, (b) f(-2) = 37, (c) f(3) = 30, and (d) f(2) = -13. These results can be verified by directly substituting the given values of x into the function and calculating the corresponding function values.

To evaluate f(1), we substitute x = 1 into the function: f(1) = 2(1)^3 - 9(1) + 3 = -4.

To evaluate f(-2), we substitute x = -2 into the function: f(-2) = 2(-2)^3 - 9(-2) + 3 = 37.

To evaluate f(3), we substitute x = 3 into the function: f(3) = 2(3)^3 - 9(3) + 3 = 30.

To evaluate f(2), we substitute x = 2 into the function: f(2) = 2(2)^3 - 9(2) + 3 = -13.

These results can be verified by directly substituting the given values of x into the function and calculating the corresponding function values. For example, for f(1), we substitute x = 1 into the original function: f(1) = 2(1)^3 - 9(1) + 3 = -4. Similarly, we can substitute the given values of x into the function to verify the results for f(-2), f(3), and f(2).

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Based on the information provided, we know that the random variable y has a cumulative distribution function (cdf) of 10 when X < 0, 0.15 when 0 <= X < 1, and F(x) = 0.3 when X >= 1.

To find the probability distribution function (pdf) of y, we need to take the derivative of the cdf. However, since the cdf is not continuous at X = 0 and X = 1, we need to break it up into three parts:

For X < 0:
F(y) = 10

For 0 <= X < 1:
F(y) = 0.15y + 10

For X >= 1:
F(y) = 0.3

Taking the derivative of each part, we get:

For X < 0:
f(y) = 0

For 0 <= X < 1:
f(y) = 0.15

For X >= 1:
f(y) = 0

Therefore, the pdf of y is:

f(y) =
0         for y < 0
0.15    for 0 <= y < 1
0         for y >= 1
Hi! Based on the information provided, it seems you are asking about the cumulative distribution function (CDF) of a random variable y. Here's an explanation using the given terms:

Let y be a random variable with CDF F(y). For the specified intervals, the CDF is defined as follows:

1. F(y) = 0.1, when y < 0
2. F(y) = 0.15, when 0 ≤ y < 1
3. F(y) = 0.3, when y = 1

The CDF F(y) describes the probability that the random variable y takes on a value less than or equal to a specific value. In this case, there is a 10% chance that y is less than 0, a 15% chance that y is in the range [0, 1), and a 30% chance that y is equal to 1.

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Full question:

Question 19 5 Pts Let Y Be A Random Variable With Cdf 10, X < 0 0.15, OSX&Lt;1 F(X) = 0.3, 1

When the standard deviation is replaced with s in the formula. then the distribution of the resulting statistic is called student t- distribution.

By utilising standard deviation, the standard error is a statistical concept that assesses how accurately a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.

When we replace the sample standard deviation s for, the normal approximation no longer holds true if the population standard deviation is unknown and the sample size n is small. Use of the Student's t-distribution, a different distribution, is the answer.

The sampling distribution's standard deviation falls as the number of samples used to determine the sampling distribution's means rises.

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Answer:

\((x,y) = (17,16)\)

Step-by-step explanation:

Given

\(T(x_1,y_1) = (4, 1)\)

\(U(x_2,y_2) = (30, 11)\)

\(V(x_3,y_3) = (17, 36)\)

Required

Determine the coordinates of the centroid

The coordinate is calculated as:

\((x,y) = (\frac{1}{3}(x_1+x_2+x_3),\frac{1}{3}(y_1+y_2+y_3))\)

Substitute values for x's and y's

\((x,y) = (\frac{1}{3}(4+30+17),\frac{1}{3}(1+11+36))\)

\((x,y) = (\frac{1}{3}(51),\frac{1}{3}(48))\)

\((x,y) = (\frac{51}{3},\frac{48}{3})\)

\((x,y) = (17,16)\)

Hence, the coordinates of the centroid is (17,16)

Answer:

vertical translation & vertical stretch

Step-by-step explanation:

Vertical stretch by a factor 2 and vertical translation of 8 units up.

Transformation of functions can be shown by using graphs.By doing transformation we can stretch,shrink shift functions in vertical and horizontal directions along x and y axis.

According to the given question

The parent function is g(x) = |x|.

Therefore g(x) = 2|x| implies vertical stretch by a factor of 2.

Now g(x) = 2|x|+8 implies vertical translation of 8 units up.

An image of both the functions is given below where red graph shows the parent function and the blue graph shows the transformed function.

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Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.

Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.

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Step-by-step explanation:

When given a formula, and we know the values of the variables plug in the number and units

So,

Instead of Saying

\(v = \frac{bh}{3} \)

We know

B= 15 in^2

h=28 in

\(v = \frac{(15)in {}^{2} \times (28)in}{3} \)

We know that

\(2 {}^{2} \times 2 = 2 {}^{3} \)

So

\(in {}^{2} \times in {}^{} = in {}^{3} \)

And ofc,

\(15 \times 28 = 420\)

So we get

\(v = \frac{420in {}^{3} }{3} = 140in {}^{3} \)

So the correct answer is the fourth option.

This is a skill. you must master at Algebra and please remember this:

IF YOU ARE GIVEN A FORMULA AND YOU KNOW THE VALUE OF SOME VARIABLE IN THE FORMULA, SUBSITUTE THE VARIABLE FOR THE VALUE