Find x, the missing side length in the right trienagle.
12
X
20

Answer

Answer:

y=-4/3+3 you would multiply the numerator by X

Answer:

( - 2, 1 and 2 / 3 )

Step-by-step explanation:

Check the procedure below;

\(y = 2 / 3 * x + 3,\\x = - 2\\\\y = 2 / 3 * ( - 2 ) + 3,\\y = - 4 / 3 + 3,\\y = 5 / 3,\\x = - 2\\\\Conclusion; y = 5 / 3, and, x = - 2\)

To derive this solution, we substituted the known value of x into the top equation, to receive the y value;

Solution - ( - 2, 5 / 3 )

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer: 45 kg is equal to about 100 pounds, 50 kg is equal to about 110 pounds. the exact answer is 99.2-110.2lbs.

not sure if this is what you were asking but hope it helps. you can do the conversion by multiplying the weight in kg by 2.205

The value of  45 to 50 kg in pounds is 99 to 110 pounds

What is Kilo gram ?

Kilo gram can be defined as follows , one kilo gram is equals to thousand grams or one gram is equal to reciprocal of thousand.

Given ,

we need to find 45 to 50 kg in pounds

so,

we know that,

1 kilo gram = 2.204

so for 45 kilo grams is equals to

here we have to multiply 45 with 2.20 approx

we get,

45 kilo grams = 45 * 2.20

= 99

And similarly for 50 kilo grams = 50* 2.20

= 110

Therefore, The 45 to 50 kg in pounds is 99 to 110 pounds

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Answer:

350

Step-by-step explanation:

To estimate the proportion of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.

How to calculate the sample size: Sample size is calculated using the following formula:
n = (z^2 * p * (1 - p)) / E^2
Where: n is the required sample size. z is the confidence level (in this case, it is 1.96 for 95% confidence level)p is the estimated proportion of the population who plan to vote for Guatafson (unknown)E is the margin of error (in this case, it is 0.03)
Therefore,n = (1.96^2 * p * (1 - p)) / 0.03^2. For a conservative estimate, p is assumed to be 0.5, which gives the maximum sample size required. So,n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.03^2 = 1067.11
So, to estimate the proportion p of all registered voters in the city who plan to vote for Guatafson with 95% confidence and a margin of error no greater than 0.03, a sample size of 1067 is required.

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Step-by-step explanation:

You make a T-chart of x and y and graph it, like this:

If x = 1, y = 5

x   |    y

0   |   4

1    |   5

2   |   6

3   |   7

4   |   8

on and on it goes. . .

At the end of the eighth week, there will be 51,200 ants in the colony.

To determine the number of ants in the colony at the end of the eighth week, we need to consider that the number of ants doubles each week. Starting with 400 ants, we can calculate the number of ants at the end of each week using exponential growth.

Week 1: 400 ants

Week 2: 400 * 2 = 800 ants

Week 3: 800 * 2 = 1600 ants

Week 4: 1600 * 2 = 3200 ants

Week 5: 3200 * 2 = 6400 ants

Week 6: 6400 * 2 = 12800 ants

Week 7: 12800 * 2 = 25600 ants

Week 8: 25600 * 2 = 51200 ants

It's important to note that this calculation assumes ideal conditions of exponential growth and does not account for any factors that could limit or affect the ant population in real-life situations. Additionally, the actual growth of an ant colony may be influenced by various factors, such as resource availability, competition, and external threats.

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We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

Remember that for a rectangle of width W and length L, the perimeter is:

P = 2*(L + W)

Here we know that the perimeter is 224 ft, and we know that the length length is an odd integer, then:

L = (2n + 1)

The width is 5 times the next odd integer, then:

W = 5*(2n + 3)

Where n is an integer number. Replacing all that in the perimeter equation, we get:

224 = 2*( (2n + 1) + 5*(2n + 3))

Now we just need to solve this for n.

224/2 = ( (2n + 1) + 5*(2n + 3))

112 =  (2n + 1) + 5*(2n + 3) = 2n + 1 + 10n + 15 = 12n + 16

112 - 16 = 12n

96 = 12n

96/12 = n = 8

Then the length is:

L = (2n + 1) = (2*8 + 1) = 17

And width:

W = 5*(2n + 3) = 5*(19) = 95

We conclude that the length of the rectangle is 17 ft, and the width of the rectangle is 95ft.

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Answer:

the length is 17, the width is 95

Step-by-step explanation:

i just got this right on delta

\(\huge \bf༆ Answer ༄\)

Here's the solution ~

Value of x is 64

The x-component of vector D is 2, and the y-component of vector D is the negative of the x-component of vector D.

Let's break down the given information:

R = A + B

The x-component of R is given as 2, so we have R_x = 2.

The y-component of R is given as 3, so we have R_y = 3.

S = A + 2B

The x-component of S is given as 1, so we have S_x = 1.

The y-component of S is the same as the x-component of S, so we have S_y = S_x = 1.

D = B - A

The x-component of D is given as 2, so we have D_x = 2.

The y-component of D is the negative of the x-component of D, so we have D_y = -D_x = -2.

The x-component of vector R is 2, and the y-component of vector R is 3.

The x-component of vector S is 1, and the y-component of vector S is also 1.

The x-component of vector D is 2, and the y-component of vector D is -2.

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Answer:

No. of large rooms = 7

No. of small rooms = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

Step-by-step explanation:

capacity of large rooms = 4 people

let the no. of large rooms be x

thus, total no of people which can be accommodated in x rooms = 4*x = 4x

capacity of small rooms  = 3 people

let the no. of small rooms be y

thus, total no of people which can be accommodated in y rooms = 3*y = 3y

total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y

It is given that total small room and large room can accommodate 70 guests

thus,

4x + 3y = 70        _________equation 1

_________________

It is also given that Jose reserved twice as many small rooms as large rooms,

so, if no. of large rooms is x  and no. of small rooms is y

then

y = 2x        _________equation 2

substituting value of y in equation 1 we have

4x + 3(2x) = 70  

=>4x + 6x = 70  

=> 10x = 70

=> x = 70/10 = 7

No. of large rooms = 7

No. of small rooms = y= 2x = 2*7 = 14

Set of equations

4x + 3y = 70  

y = 2x

Variable definitions

No. of large rooms is x

No. of small rooms is y

The number of the small rooms is 14.

The number of large rooms is 7.

Assuming that the number of the large rooms is x,

So, the number of small rooms is 2x

According to the question:

\(3\) × \(2x\) \(+ 4\) × \(x = 70\)

\(6x+4x=70\\10x=70\\x=7\)

So, 2x = 2(7) = 14

Therefore, the number of the small rooms is 14 and the number of large rooms is 7.

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Answer: no sorry it looks fine to me

Answer:

12.2 oz

Step-by-step explanation:

you would just plug in 2 for x so you get 0.6(2)+11 and which you simplify to get 1.2+11 and then you would get 12.2 as the weight

The expression used to find the amount of fencing needed for your yard is 2(xy² + 2y + 3x - 10).

We have,

To find the amount of fencing needed for your yard, we need to calculate the perimeter of the yard, which is the sum of all four sides.

Given that the length of the yard is 3xy² + 2y - 8 and the width is

-2xy² + 3x - 2

The perimeter can be calculated as follows:

Perimeter = 2 x (Length + Width)

Substituting the given expressions for length and width:

Perimeter = 2 x (3xy² + 2y - 8 + (-2xy² + 3x - 2))

Simplifying:

Perimeter = 2 x (3xy² - 2xy² + 2y + 3x - 8 - 2)

Perimeter = 2 x (xy² + 2y + 3x - 10)

Thus,

The expression used to find the amount of fencing needed for your yard is 2(xy² + 2y + 3x - 10).

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Answer:

Cost without vat is 1,368.5

Step-by-step explanation:

Here, we want to know the cost of the iron without the vat.

From the question , we can see that 15% VAT brought the cost to 1610.

This means that the original cost without vat is 100% -15% = 85% of the total

Thus;

85/100 * 1610 is the cost without vat

And that is;

136850/100 = 1,368.5

Each of the equations of parabolas should be matched with the x-intercepts of the parabolas as follows;

In Mathematics and Geometry, the x-intercept of any function refers to the point at which the graph of a function crosses the x-coordinate and the y-value of "f(x)" is equal to zero (0).

Next, we would determine the x-intercept of each of the equations of parabolas (quadratic functions) as follows;

y = x² + x - 12

0 = x² + x - 12

0 = x² + 4x - 3x - 12

0 = (x + 4)(x - 3)

Therefore, the x-intercept are (-4, 0) and (3, 0).

y = x² + 5x + 4

0 = x² + 5x + 4

0 = x² + 4x + x + 4

0 = (x + 4)(x + 1)

Therefore, the x-intercept are (-4, 0) and (-1, 0).

y = x² - 5x - 24

0 = x² - 5x - 24

0 = x² - 8x + 3x - 24

0 = (x - 8)(x + 3)

Therefore, the x-intercept are (-3, 0) and (8, 0).

y = -x² - 5x + 14

0 = -x² - 5x + 14

0 = -x² - 7x + 2x + 14

0 = (x - 7)(x + 2)

Therefore, the x-intercept are (-2, 0) and (7, 0).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

multiply its height by its width or  use this: Area of a trapezoid is found with the formula, A=(a+b)/2 x h. aka base plus base times the height

Step-by-step explanation:

Answer:

answer is D

Step-by-step explanation:

A) if sum of four and some number = x + 4

B) if product of some number and 4 = 4x

C) the different between 4 and some number = x - 4

D) if quotient of some number and 4 = x/4

∵therefore D is the answer

Answer:

5

Step-by-step explanation:

Everytime I try to do the explanation picture because I wrote it down it won't work. Brainly bots do not take this answer down!

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Based on the given data, we cannot conclude that there is a significant difference in the mean rate of return between domestic and international stocks.

To test if there is a significant difference in the mean rate of return between domestic and international stocks, we can perform a two-sample t-test with unequal variances.

Here are the steps to carry out the test:

Step 1: Determine the level of significance:

The level of significance = 0.05.

Step 2: Compute the test statistic:

We can use the two-sample t-test with unequal variances to compute the test statistic. The formula for the test statistic is:

t = (x1 - x2) / sqrt((s1^2/n1) + (s2^2/n2))

where x1 and x2 are the sample means for domestic and international stocks, s1 and s2 are the sample standard deviations for domestic and international stocks, and n1 and n2 are the sample sizes for domestic and international stocks.

Using the given data, we have:

x1 = 0.968, x2 = 0.864

s1 = 0.077, s2 = 0.117

n1 = n2 = 15

t = (0.968 - 0.864) / sqrt((0.077^2/15) + (0.117^2/15))

t = 1.771

Step 3: Determine the critical value:

df = (s1^2/n1 + s2^2/n2)^2 / (s1^4/(n1^2 df1) + s2^4/(n2^2 df2))

where df1 = n1 - 1 and df2 = n2 - 1.

Using the given data, we have:

df1 = 14, df2 = 14

df = (0.077^2/15 + 0.117^2/15)^2 / (0.077^4/(15^214) + 0.117^4/(15^214))

df = 24.102

Using a t-distribution table or calculator with 24 degrees of freedom and a significance level of 0.05, we find the critical value to be ±2.064.

Step 4: Make a decision and interpret the results:

Since the calculated t-value (1.771) is less than the critical value (±2.064), we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant difference in the mean rate of return between domestic and international stocks at the 0.05 level of significance.

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1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

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The correct expression and value is A. 9(n+8)-6, when n=5, the value is 111.

Firstly forming the expression using given information, starting the end of sentence. Breaking sentence into parts as follows -

1. the sum of a number and eight

2.  nine times the sum of a number and eight

3. six less than nine times the sum of a number and eight

Let the number be n.

So, equation according to 1. Sum = (n + 8)

Equation according to 2. 9(n + 8)

Equation according to 3. 9(n + 8) - 6

So, the expression is 9(n + 8) - 6

Now, keeping the value of n as 5 and finding the value of expression.

Value = 9(5 + 8 ) - 6

Firstly solving the bracket

Value = 9 × 13 - 6

Performing multiplication

Value = 117 - 6

Performing subtraction

Value = 111

Hence, the expression and value is A. 9(n+8)-6, when n=5, the value is 111

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The complete question is -

What is the expression and value of “six less than nine times the sum of a number and eight” when n = 5

A.9(n+8)-6, when n=5, the value is 111

B. 6-9(n+8), when n = 5, the value is 111

C. 9(n)+8-6, when n = 5 the value is 47

D.6-9(n), when n = 5, the value is 47

Answer:

The correct expression and value is A. 9(n+8)-6, when n=5, the value is 111.

Step-by-step explanation:

a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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The average productivity of this production process is approximately 1.96 units per labor hour.

The average productivity, in terms of the average number of units per labor hour, for a production process can be determined using the expected value approach. In this case, the random variable X represents the number of units produced each week, with corresponding probabilities. The average production, or expected value, can be calculated by summing each production value multiplied by its probability. Finally, the productivity can be obtained by dividing the average production by the number of labor hours needed.

In this scenario, the production values are 99, 104, and 116, with corresponding probabilities of 0.1, 0.7, and 0.2, respectively. To find the average production, we multiply each production value by its probability and sum the results:

Average production = (99 * 0.1) + (104 * 0.7) + (116 * 0.2) = 9.9 + 72.8 + 23.2 = 105.9

Given that the number of labor hours needed is 54 units per labor hour, we can calculate the average productivity:

Productivity = Average production / Labor hours = 105.9 / 54 ≈ 1.96

The average productivity of this production process is approximately 1.96 units per labor hour.

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To find the point(s) of inflection of the function f(x) = 4x³ + 9x² + 6x - 5, we need to find the x-coordinate(s) where the concavity of the function changes.

The concavity of a function can be determined by analyzing its second derivative. If the second derivative changes sign at a specific x-coordinate, it indicates a point of inflection.

Let's calculate the first and second derivatives of f(x) step by step:

First derivative of f(x):

f'(x) = 12x² + 18x + 6

Second derivative of f(x):

f''(x) = 24x + 18

Now, to find the point(s) of inflection, we need to solve the equation f''(x) = 0.

24x + 18 = 0

Solving for x:

24x = -18

x = -18/24

x = -3/4

Therefore, the point of inflection of the function f(x) = 4x³ + 9x² + 6x - 5 is at x = -3/4.

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