50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left

Answer:

10−(9)(−6)

=10−(−54)

=64

hope i helped

The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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Answer:

P(both soccer and basketball) = \(\frac{18}{31}\)

Step-by-step explanation:

Let B, S denote number of students who play basketball and soccer.

As 31 play basketball, 59 play soccer and 18 of the students play both basketball and soccer,

\(n(B)=21\\n(S)=59\)

n(B∩S) = 18

To find P (Soccer |Basketball) that is P(S∩B),

use P(S∩B) = P(both soccer and basketball)/ P(B)

P(both soccer and basketball) = Number of students who play both soccer and basketball / Total number of students

= \(\frac{18}{145}\)

Also,

P(B) = Number of students who play basketball / Total number of students

= \(\frac{31}{145}\)

So,

P(S∩B) = \(\frac{\frac{18}{145} }{\frac{31}{145} }=\frac{18}{31}\)

That is

P(both soccer and basketball) = \(\frac{18}{31}\)

The city at 1st position with the largest population, have a population of 64 million.

Given, the population of the 4th largest city in country a is 8 million.

we have to find the population of the largest city in that country and

we have options : 16 million, 24 million, 32 million and 64 million

As, the given city with 8 million population is at 4th position in the country.

then, the city at 3rd position will be having a population of 2×8 million i.e. 16 million

similarly, the city at 2nd position will be having a population of 2×16 million i.e. 32 million

and the city at 1st position will be having a population of 2×32 million i.e. 64 million.

So, the city at 1st position have a population of 64 million.

Hence, the city at 1st position have a population of 64 million.

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The Solution.

The total number of people surveyed = 750.

The number of age group 41 - 50 that favored the Do-It-Yourself books = 69

The percentage of the people in age group 41 - 50, and favored the Do-It-Yourself books is calculated as below:

Hence, the correct answer is 9 percent.

From the ratio computed, the numbers will be 420 and 980.

From the information given, we are to divide 1400 in the ratio 7:3. The smaller number will be:

= 3/(3+7) × 1400

= 3/10 × 1400

= 420

The larger number will be:

= 7/10 × 1400

= 980

Therefore, the numbers will be 420 and 980.

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Answer:

2/3a^5

Step-by-step explanation:

we know that 2/7x2/7x2/7 = 8/27

a^15  cube will be a^5

because we know (2^3)^2 = 2^6

so (a^5)^3 = a^15

2/3a^5

The probability that the sample mean would differ from the true mean by more than $2.5 is 0.0062

Mean cost of the five pound shrimp bag = $40

Variance of the five pound shrimp bag = $36

The number of the shrimp bag = 43

The given mean value = $2.5

The z-score = $2.5

The probability of the sample mean differ by $2.5 from the true mean can be calculated by

  P(z > 2.5) = 1 - P(z < 2.5)

From the z table , we can get the value of  z < 2.5 which is 0.9938

    P(z > 2.5) = 1 - 0.9938

   P(z > 2.5) = 0.0062

Therefore , the probability of sample mean from the true mean by 2.5 is 0.0062

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The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer: ok deku

Araceli would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

Answer:

3/8 of a yard for each bag

Step-by-step explanation:

3/8 = 3/8 of a yard for each bag

Yes, women save more money than men. The value of the test statistic for this hypothesis test is 1.93.

The hypothesis test used in this case is a two-sample t-test. This test is used to compare two independent means from two different groups. The null hypothesis states that there is no difference between the means of the two groups, while the alternative hypothesis states that there is a difference.  

To begin, the value of the test statistic must be calculated. The test statistic is calculated by subtracting the two means and dividing by the standard error. The standard error is calculated by taking the standard deviation of each group and dividing it by the square root of the sample size. So, for this hypothesis test, the test statistic is calculated as follows: (54 - 50) / (10/√25 + 5/√30) = 4 / (2.06) = 1.93.

To determine if women save more money than men, the test statistic must be compared to the critical value associated with the significance level. As the significance level is 0.01, the corresponding critical value is -2.575 and 2.575. Since the test statistic (1.93) is greater than the critical value (2.575), the null hypothesis can be rejected. This indicates that there is sufficient evidence to suggest that women save more money than men.

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Answer:

13, 67, 29, 17, 19, 23

Step-by-step explanation:

The six prime numbers are 13, 67, 29, 17, 19, and 23.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words are a linguistic way to express numbers.

Given digits are 1, 2, 3, 4, 5, 6, 7, 8, 9. The prime numbers are:-

Prime number 1 = 13

Prime number 2= 67

Prime number 3= 29

Prime number 4= 17

Prime number 5= 19

Prime number 6= 23

Therefore, the six prime numbers are 13, 67, 29, 17, 19, and 23.

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The y-intercept of the function f(x) = (-4)(2^x) is (0, -4) so that the correct answer is option (A).

To find the y-intercept of a function, we need to determine the value of the function when x = 0. In this case, we have the function f(x) = (-4)(2^x). Follow these steps to find the y-intercept:

1. Replace x with 0 in the function: f(0) = (-4)(2^0)
2. Recall that any number raised to the power of 0 is equal to 1: 2^0 = 1
3. Multiply -4 by 1: (-4)(1) = -4

Now we know that the value of the function when x = 0 is -4. The y-intercept is the point where the function crosses the y-axis, which occurs when x = 0. Therefore, the y-intercept of the function f(x) = (-4)(2^x) is A. (0, -4).

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Given:

There are 5 numbers followed by 2 letters.

Solution:

To find the answer, we will have a plate number that consists of 5 numbers followed by 2 letters. In that 5 numbers, each place has 10 choices-from 0 to 9. It will be: 10 * 10 * 10 * 10 * 10 = 100,000 .

Now, for the letters, there are 26 letters in the alphabet. We have two places for the letters and each place have 26 choices-from A to Z that will give us: 26 * 26 = 676

We will now multiply the acquired data for both the numbers and letters to arrive at the correct answer.

100,000 * 676 = 67,600,000

ANSWER: 67,600,000 possible license plates

1. There are no asymptotes for this function.

2. Vertical asymptote at x = 0, no horizontal asymptote

3. Vertical asymptotes at x = 2 and no horizontal asymptote

4.  Horizontal asymptote at y = 0, no vertical asymptote

Let's start by graphing the function y = x^2.

Graph of the function y = x^2:

Equation: y = x^2

Domain: All real numbers (-∞, ∞)

Range: All non-negative real numbers [0, ∞)

Asymptotes: There are no asymptotes for this function.

Modifying the function to create a graph with one vertical asymptote (no horizontal asymptote):

Equation: y = 1/x

Domain: All real numbers except x = 0 (-∞, 0) U (0, ∞)

Range: All real numbers except y = 0 (-∞, 0) U (0, ∞)

Asymptotes: Vertical asymptote at x = 0, no horizontal asymptote

Modifying the function to create a graph with one horizontal and two vertical asymptotes:

Equation: y = 1/(x - 2)

Domain: All real numbers except x = 2 (-∞, 2) U (2, ∞)

Range: All real numbers (-∞, ∞)

Asymptotes: Vertical asymptotes at x = 2 and no horizontal asymptote

Modifying the function to create a graph with one horizontal asymptote (no vertical asymptote):

Equation: y = 2/(x + 1)

Domain: All real numbers except x = -1 (-∞, -1) U (-1, ∞)

Range: All real numbers (-∞, ∞)

Asymptotes: Horizontal asymptote at y = 0, no vertical asymptote

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A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.

To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.

Value of sales = Total cost of good A + Total cost of good B Total cost of good A

= Number of units of good A sold x Cost of each unit of good A Total cost of good A

= 120 x $4Total cost of good

A = $480

Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good

B = 340 x $5

Total cost of good B = $1,700

Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700

Value of sales = $2,180

Therefore, the value of sales was $2,180.

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1. In my opinion, the domain that is most difficult to monitor for malicious activity is the User Domain. The User Domain represents all the individuals who access an organization's network and resources.

This domain is the most vulnerable to security breaches because users are prone to making mistakes that can expose the network to attacks.
Users can fall for phishing scams, install malicious software, or use weak passwords that can be easily guessed by hackers. It is challenging to monitor user activity because it requires a balance between security and user privacy. Organizations must ensure that users are following security policies without infringing on their privacy rights.

Another reason the User Domain is challenging to monitor is the wide range of devices that users may use to access the network, such as smartphones, tablets, laptops, and personal computers. Securing all these devices can be a challenge, and ensuring that all devices are updated with the latest security patches can be difficult.

2. It appears that you have not given a second question. If you have any other question regarding this topic, kindly post the complete question, and I will be glad to assist you.

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The probability that a patient with a stiff neck has meningitis is very low at 0.002%.

To find the probability that a patient with a stiff neck has meningitis, we can use Bayes' theorem.

Let A be the event that the patient has meningitis and B be the event that the patient has a stiff neck.

We know that P(B|A) = 0.5, meaning that if a patient has meningitis, there is a 50% chance they will have a stiff neck. We also know that P(A) = 1/50,000, meaning that the probability that any patient has meningitis is 1 in 50,000. Additionally, we know that P(B) = 1/20, meaning that the probability that any patient has a stiff neck is 1 in 20.

Using Bayes' theorem, we can find the probability that a patient with a stiff neck has meningitis:

P(A|B) = P(B|A) * P(A) / P(B)
P(A|B) = 0.5 * (1/50,000) / (1/20)
P(A|B) = 0.00002 or 0.002%

Therefore, the probability that a patient with a stiff neck has meningitis is very low at 0.002%.

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Answer:

2 miles

Step-by-step explanation:

On the graph, when Dorian caught up to Danielle, they were in the same place at the same time. This is where the solid and dashed lines on the graph intersect. Danielle is the solid line, look at the point of intersection they had both traveled 2 miles, which you can see on the vertical axis.

The given vector v is an eigenvector of matrix A with the corresponding eigenvalue λ = -3.

To show that v is an eigenvector of matrix A, we need to verify that Av is a scalar multiple of v, i.e.,

Av = λv

where λ is the corresponding eigenvalue.

We have, A = [1 2; -9 2] and v = [9; 2].

Multiplying Av, we get:

Av = [1 2; -9 2] * [9; 2] = [19 + 22; -99 + 22] = [13; -79]

Now, to find the corresponding eigenvalue λ, we can solve the equation Av = λv, which gives:

[1 2; -9 2] * [x; y] = λ * [9; 2]

This can be written as a system of linear equations:

x + 2y = λ * 9

-9x + 2y = λ * 2

Solving these equations, we get x = -3y. Substituting this in either of the equations, we get:

y = 2λ/(λ^2 + 4)

Substituting y in x = -3y, we get:

x = -6λ/(λ^2 + 4)

Therefore, the eigenvalue λ can be obtained by solving the equation:

[13; -79] = λ * [9; 2]

i.e., λ = (-799 - 132)/(-39 - 22) = -3

Hence, the given vector v is an eigenvector of matrix A with the corresponding eigenvalue λ = -3.

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The vector V  = [ 9 ] [ 2 1] [-9 ] is an eigenvector of A = [ 1 2 ] and the corresponding eigenvalue is λ = -1.

To show that v is an eigenvector of A, we need to demonstrate that when v is multiplied by A, it results in a scalar multiple of v.

Let's perform the matrix multiplication:

A * v = [1 2; 2 1] * [9; -9]

= [19 + 2(-9); 29 + 1(-9)]

= [9 - 18; 18 - 9]

= [-9; 9]

Now, compare the result with the original vector v:

[-9; 9]

We can observe that the result is a scalar multiple of v, with the scalar being -1.

Therefore, v = [9; -9] is indeed an eigenvector of A.

To find the corresponding eigenvalue λ, we can use the equation:

A * v = λ * v

Substituting the values:

[-9; 9] = λ * [9; -9]

Solving for λ, we can divide the corresponding elements:

-9 / 9 = λ

-1 = λ

So, the corresponding eigenvalue for the eigenvector v = [9; -9] is λ = -1.

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The vale of x is 54°.

The tangent is defined as a line touching circles or an ellipse at only one point.

We have,

As, the tangent is perpendicular to the radius of the circle.

So, using Angle sum property in a triangle

x+90+36= 180

x+126 = 180

x= 54°

Hence, the value of x is 54°

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Answer:

1/-9

Step-by-step explanation:

First you need to calculate rise over run with the equation \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\) in this case that would be 6-4 over -8 - 10 this gets you 2/-18. This means the "rise" is 2 and the "run" is -18. This can be simplified to 1/-9.

Answer:

x = 35

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

40° + (2x + 30)° + 40° = 180°

Step 2: Solve for x

Answer:

369/2pi

Step-by-step explanation:

81pi=area of whole circle (pi*r^2)

LMN=82

Area of LMN= 41/180*area of circle

41/180*81pi=

369/2 pi

We know that the area of a sector is given by:

\(A = \dfrac{\pi r^2\alpha}{360}\)

Where α is the angle in degrees and r is the radius. We have:

Evaluating:

\(A = \dfrac{\pi r^2\alpha}{360} = \dfrac{\pi(9)^2\cdot 82}{360} = 57.96\ u^2\)

Answer: A constant differential equation is a type of ordinary differential equation (ODE) in which the coefficient of the derivative term is a constant. In other words, the derivative of the dependent variable with respect to the independent variable appears with a fixed coefficient that does not depend on the value of the dependent variable or the independent variable.

The general form of a first-order linear constant differential equation is:

dy/dx + ky = f(x)

where y is the dependent variable, x is the independent variable, k is a constant, and f(x) is a function of the independent variable.

The general form of a second-order linear constant differential equation is:

d²y/dx² + k₁ dy/dx + k₂y = f(x)

where y is the dependent variable, x is the independent variable, k₁ and k₂ are constants, and f(x) is a function of the independent variable.

Solving a constant differential equation involves finding a function that satisfies the equation. Depending on the form of the equation, various methods such as separation of variables, integrating factors, and characteristic equations can be used to find the solution. In many cases, the solution of a constant differential equation involves an exponential function or a linear combination of exponential functions.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(5-4g) + 3g - 11 = 5(g-3) - 12 - 3g (remove the parantheses)

10 - 8g + 3g - 11 = 5g - 15 - 12 -3g (Calculate and collect like terms)

-1 - 5g = 2g - 27 (move the terms)

-5g -2g = 27 + 1  (collect like terms and calculate)

-7g = -26 (divide both sides)

so G = 26/7

Answer:

G=27/6

Step-by-step explanation:

2(5−4g)+3g−11=5(g−3)−12−3g

(2)(5)+(2)(−4g)+3g+−11=(5)(g)+(5)(−3)+−12+−3g

10+−8g+3g+−11=5g+−15+−12+−3g

(−8g+3g)+(10+−11)=(5g+−3g)+(−15+−12)

−5g+−1=2g+−27

−5g−1=2g−27

Step 2: Subtract 2g from both sides.

−5g−1−2g=2g−27−2g

−7g−1=−27

Step 3: Add 1 to both sides.

−7g−1+1=−27+1

−7g=−26

Step 4: Divide both sides by -7.

-7g/-7=-26/-7

g=26/7

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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