Which choice shows how to find the least common multiple of 9
and 42 through prime factorization?

The standard deviation of the sample proportions (i.e., the standard error of the proportion) is 10.5.

The sample proportion is a random variable that can't be predicted with certainty because it fluctuates from sample to sample.

n = 525

Population Proportion(p) = 0.3

q = 1 - 0.3

q = 0.7

σ = √npq

σ = √(525 × 0.3 × 0.7)

σ = √110.25

σ = 10.5

So The standard deviation of the sample proportions = σ/n

The standard deviation of the sample proportions = 10.5/525

The standard deviation of the sample proportions = 0.02

The standard deviation of the sample proportions = 2%

To learn more about sample proportion link is here

brainly.com/question/29912751

#SPJ4

The complete question is:

Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is

a.0.0004

b.0.2100

c.0.3000

d.0.0200

The Fermi level corresponds to the energy where the probability of occupation is 50% at absolute zero temperature.

The actual position of the Fermi level in a specific material can be influenced by various factors, such as the density of states and the doping level.

In the context of physics and semiconductor materials,

The Fermi level refers to the energy level in a material ,

That has a 50% probability of being occupied by an electron at absolute zero temperature (0 Kelvin or -273.15 degrees Celsius).

The given statement suggests that the probability of a state being empty at energy Ev - kT

where k is the Boltzmann constant and T is the temperature is equal to,

The probability of a state being filled at energy Ev - 3kT.

This implies that the energy difference between the two states is 2kT.

Assuming that Ev is the energy of the Fermi level, we can conclude that the Fermi level is located at energy Ev - 2kT.

The Fermi level is shifted by an energy equal to 2kT from the energy at which the probability of occupation changes from empty to filled.

Learn more about Fermi level here

brainly.com/question/32169868

#SPJ4

Answer:

y=4

-2y=8

y=8/2

xndnndndnd

Answer:

3x

Step-by-step explanation:

Step-by-step explanation:

Given

- 72 = 8 ( y - 3 )

or - 72 / 8 = y - 3

or, - 9 = y - 3

y = - 9 + 3

Therefore X = - 6

Hope it will help :)❤

Answer:

Step-by-step explanation:

-72=8y-24

-72+24=8y

-48=8y

-48/8=y

-6=y

Answer:

36 correct answers

Step-by-step explanation:

Given that,

The ratio of the number of problems Josie got incorrect to the number of problems she got correct is 2:9.

Josie missed 8 questions

Let incorrect answers be 2x and that of correct answers be 9x.

ATQ,

2x = 8

x = 4

Correct answers = 9x

= 9(4)

= 36

Hence, she will get 36 correct answers.

The simplified form of the expressions are 69-y/16 and -x/3 - 27 respectively

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.

Given the following algebras

5-y/16 + 4

Find the LCM

5-y+4(16)/16

5-y+64/16
69-y/16

Hence the simplified form of the equation is 69-y/16

For the algebraic equation -3(x/8 + 9)

Expand

-3(x/8) + -3(9)
-3x/9 - 27

-x/3 - 27

Hence the simplified form of the expression is -x/3 - 27

Learn more on algebra here: https://brainly.com/question/25976025

#SPJ1

Answer:

Linera

Step-by-step explanation:

f it has exponents, it is nonlinear. If your equation has no exponents, it is linear.

Answer:

x = 1.99359

Step-by-step explanation:

Answer: x  ≈  −  1.99825808  ,  1.99359054

Step-by-step explanation:

In  linear equation, 7/10 did he buy .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                            Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

multiply the fractions by each other.

7/8*4/5

7*4=28

8*5=40

28/40

"B" would be the correct answer but, it the fraction should be reduced to 7/10.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

Learn more about isosceles triangle at

https://brainly.com/question/2456591

#SPJ1

Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

To learn more about the number formation visit:

https://brainly.com/question/14246357.

#SPJ2

This situation constitutes a negative externality because the actions of U.S. farmers in the Southwest are causing harm to Mexican farmers downstream, resulting in negative consequences for their crops and livelihoods.

A negative externality occurs when the production or consumption of a good or service imposes costs on third parties who are not directly involved in the transaction. In this case, the irrigation practices of U.S. farmers are leading to salt leakage into the Colorado River, which negatively impacts Mexican farmers who rely on the river for irrigation.

The increased salinity of the river water prevents Mexican farmers from effectively irrigating their own land, resulting in devastation to their crops and economic losses. The costs of this pollution and reduced agricultural productivity are borne by the Mexican farmers, even though they are not directly responsible for the actions causing the negative externality.

Learn more about costs here:

https://brainly.com/question/28778430

#SPJ11

The general solution to y" + 12y + 36y = 0 is: y(x) = c_1 e^{-6x} + c_2xe^{-6x} To construct an equation such that the general solution is y = C₁e^x cos(3x) + C2e^-x sin(3x), we first find the derivatives of each of these functions.

The derivative of C₁e^x cos(3x) is C₁e^x cos(3x) - 3C₁e^x sin(3x)

The derivative of C₂e^-x sin(3x) is -C₂e^-x sin(3x) - 3C₂e^-x cos(3x)

To find a function that is equal to the sum of these two derivatives, we can set the coefficients of the cos(3x) terms and sin(3x) terms equal to each other:C₁e^x = -3C₂e^-x

And: C₁ = -3C₂e^-2x

Solving this system of equations, we get:C₁ = -3, C₂ = -1

The required equation, therefore, is y = -3e^x cos(3x) - e^-x sin(3x)

Finally, to find the solution to y" + 4y + 5y = 0 with y(0) = 2 and y'(0) = -1,

we can use the characteristic equation:r² + 4r + 5 = 0

Solving this equation gives us:r = -2 ± i

The general solution is therefore:y(x) = e^{-2x}(c₁ cos x + c₂ sin x)

Using the initial conditions:y(0) = c₁ = 2y'(0) = -2c₁ - 2c₂ = -1

Solving this system of equations gives us:c₁ = 2, c₂ = 3/2

The required solution is therefore:y(x) = 2e^{-2x} cos x + (3/2)e^{-2x} sin x

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

Answer: if you give your friend one dollar the first week you’d only owe 9 dollars left. Then the second week you play the 2 dollars, you now only owe 7 dollars. The third week comes and you give them 5, you only owe 2 dollars. Then you’d only be able to give them 2 dollars the next week, or one dollar then another one the following week. There are 4,5 different payment sequences possible.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

linear

Simplifying

3x + y = 84

Solving

3x + y = 84

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y' to each side of the equation.

3x + y + -1y = 84 + -1y

Combine like terms: y + -1y = 0

3x + 0 = 84 + -1y

3x = 84 + -1y

Divide each side by '3'.

x = 28 + -0.3333333333y

Simplifying

x = 28 + -0.3333333333y

Step-by-step explanation:

derivative:zero becouse ever number has daritive is zero

6:

Answer:

no entendi ni vergas

Step-by-step explanation:

Answer:

the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.

Step-by-step explanation:

Using, the formula y1+y2/x1-x2,

Choosing any two points, make the expression:

1-2/125-155

simplify:

-1/-30

the slope of the equation is -1/-30.

to find y intercept, using the function y=mx+b, plug in the slope and one of the two points that you used:

y would be 2

x would be 155

b is the y intercept

2= -1/-30•155 + b

2=5⅙+b

b = - 3⅙

the equation of the line is y = -1/-30 - 3⅙ and the y intercept is -3⅙.

Answer:

22.5 minutes

Step-by-step explanation:

Initially, there were 9 students with 30 minutes to clean up the mess. This means they had a total of 9 · 30 = 270 student minutes to clean up the mess.

After the 3 additional students were added, there were a total of 9 + 3 = 12 students on the clean-up crew.

Now, let's assume the time they need to clean up the mess is "t" minutes. Since the number of students and the time are inversely proportional to the amount of work done, we can set up the following equation based on the idea that the amount of work done is the same before and after the addition of the 3 students:

9 · 30 = 12 · t

Solving for "t":

270 = 12t

t = 270 / 12

t = 22.5

So, the principal should give them approximately 22.5 minutes to complete the job with the new crew of 12 students.

Answer:

x = 67°

Step-by-step explanation:

The 2 base angles x are congruent , then

x = \(\frac{180-46}{2}\) = \(\frac{134}{2}\) = 67°

Answer:

X= 67 degrees.

Step-by-step explanation:

All triangles must add up to 180°. This is an isosceles triangle which means once you have one degree you can find the other two.

In order to get the answer start with 180°-46°

180-46=134

The two x's equal each other. So you can divide the remaining degrees by 2 to get the answer.

134÷2=67.

So the answer is 67°.

Answer:

since u have the answer already i will just tell you a story

Step-by-step explanation:

once upon a time there were 3 little pigs and those pigs hated each other

so one day when there mother kicked them out of the house because they ate all of her pie, they had to go out and live on the streets. One pig got hungry so he ate a little kitten that was crossing the street. THE END.

hope u liked my story

There are 11,232,000 license plates consisting of three letters followed by three digits with no letter or digit repeated.

We can solve this problem using permutation, as we need to find the number of arrangements of three letters followed by three digits with no repetition.

There are 26 letters in the alphabet, so we can choose the first letter in 26 ways. For the second letter, we can choose from the remaining 25 letters, as we cannot use the same letter twice. Similarly, we can choose the third letter in 24 ways.

For the first digit, we have 10 options (0 to 9). For the second digit, we can choose from the remaining 9 digits (we cannot use the same digit twice). Similarly, we can choose the third digit in 8 ways.

Using the multiplication principle, we can find the total number of possible license plates:

26 × 25 × 24 × 10 × 9 × 8 = 11,232,000

To learn more about permutation click on,

https://brainly.com/question/10992572

#SPJ4

Given:

ΔABC is similar to ΔDEF

Values of the corresponding sides are given.

To find:

The scale factor of ΔABC to ΔDEF.

Step-by-step solution:

Upon looking at the question figure we can say that:

The Side B

Complete question is;

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1850 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer:

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Step-by-step explanation:

Let x be number gallons consumed by car 1

Let y be number of gallons consumed by car 2

We are told that total gas consumption of 50 gallons. Thus;

x + y = 50 - - - - - eq(1)

We are told that the first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas and they went a combined total of 1850 miles. Thus;

35x + 40y = 1850 - - - - eq2

Let's make y the subject in eq(1),

y = 50 - x - - - - eq(3)

Putting 50 - x for y in eq 2 gives;

35x + 40(50-x) = 1850

35x + 2000 - 40x = 1850

-5x + 2000 = 1850

-5x = -150

x = 150/5

x = 30 gallons

Substitute 30 for x into eq 3,we have;

y = 50 - 30

y = 20 gallons

Thus;

Car 1 consumed 30 gallons of gas.

Car 2 consumed 20 gallons of gas.

Area of the large semicircle

\( = \pi{r}^{2} \div 2\)

\( = \frac{22}{7} \times 12 {}^{2} \times \frac{1}{2} \)

\( = \frac{11}{7} \times12 \times 12\)

\( = \frac{11}{7} \times 144\)

\( = 226.28\)

Area of the small semicircle

\( = \pi {r}^{2} \div 2\)

\( = \frac{22}{7} \times 6 {}^{2} \times \frac{1}{2} \)

\( = \frac{11}{7} \times 6 \times 6\)

\( = \frac{11}{7} \times 36\)

\( = 56.57\)

Area of the figure

\( = 226.28 - 56.57\)

\( = 169.71 {cm}^{2} \)

Answer: 28 Square centimeters

Step-by-step explanation:

To find the area of a rectangle, you multiply length by width. Hope it helped! :)

Answer:

13 friends

59-7=52(to find the number of balls that Mike gave to his friends if he gave them only one ball each)

52/4 =13(if 52 is the number of balls that he gave them if he gave them one each, if he gives them four balls each all you have to do is to divide it by 4)