PLEASE HELP!!!
(it's an inequality)
|a+5|=-5-a

(a) The probability is, 0.0605

(b) The probability is, 0.4102

(c) The probability is, 0.7336

(d) 1.645

What is probability?

Simply put, probability measures how probable something is to occur.

Assume that X is a random variable with a mean of $749 and a standard deviation of $225 that represents the family's travel expenses over the Labor Day weekend.

Consequently, X ≈ N ( μ = 749, σ^2 = 225^2).

(a) The probability of family expenses for the weekend being less than $400 is calculated as,

P(X < 400) = P((X - μ)/σ < (400 - 749)/225)

                 = P(Z < (-349/225))

                 = P( < -1.551)

                 = 0.0605

Hence, the probability is, 0.0605.

(b) The probability of family expenses for the weekend being $800 or more is calculated as,

P(X ≥ 800) = 1 - P(x < 800)

                 = 1 - P((X - μ)/σ < (800 - 749)/225)

                 = 1 - P(Z < 51/225)

                 = 1 - P(Z < 0.227

                 = 1 - 0.5898

                 = 0.4102

Hence the probability is 0.4102.

x - 749 = (1.645 x 225)

         x = 749 + (1.645 x 225)

         x = 1119.125

Hence, the Labor Day weekend expenses of families in the top 5% of most expensive travel is $1119.125.

(c) The probability that family expenses are between $500 and $1000 is calculated as,

P(500 < X < 1000) = P((500 - 749)/225 < (X - μ)/σ < (1000 - 749)/225)

                              = P(-249/225 < Z < 251/225)

                              = P(-1.107 < Z < 1.116)

                              = P(Z < 1.116) - P(0.1342)

                               = 0.8678 - 0.1342

                               = 0.7336

Hence the probability is 0.7336

(d) The Labor Day weekend expenses of families in the top 5% of most expensive travel is calculated as,

P(X > x) = 0.05

1 - P(X < x) = 0.05

P(X < x) = 0.95

P((X - μ)/σ < (x - 749)/225) = 0.95

P(Z < (x - 749)/225 = 0.95         ..(1)

From the normal table, P(Z < 1.645) = 0.95          ..(2)

On comparing (1) and (2),

(x - 749)/225 = 1.645

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Therefore, the solution to the equations f(x) = (3/2)x + 5 and g(x) = 5x - 2 is x = 2.

To solve the equations f(x) = (3/2)x + 5 and g(x) = 5x - 2, we can set the two equations equal to each other and solve for x:

(3/2)x + 5 = 5x - 2

Let's solve this equation step by step:

Step 1: Distribute the (3/2) coefficient to the x term:

(3/2)x + 5 = 5x - 2

(3/2)x = 5x - 7

Step 2: Move the (3/2)x term to the right side by subtracting (3/2)x from both sides:

(3/2)x - 5x = -7

-7/2x = -7

Step 3: Multiply both sides of the equation by -2/7 to isolate x:

x = (-7) * (-2/7)

x = 2

Therefore, the solution to the equations f(x) = (3/2)x + 5 and g(x) = 5x - 2 is x = 2.

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Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5.  13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

These are the polynomial equations:

A = x^ (1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

These are the non-polynomial equations:

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions that only use addition, subtraction, multiplication, and non-negative exponentiation of the variables, along with coefficients (constants that multiply with the variables), coefficients, and constants.

Some of the elements of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides.

Let the polynomial equations be represented by the following letters: A, B, C, D, E, and F.

In the equation, we can solve for other values to obtain:

Moreover, a polynomial equation is not an algebraic equation that has a negative exponent or an exponent that is fractional. Thus, negative exponent expressions are not polynomials.

A = x^ (1/4) - ∛x + 4√x - 8x + 16

This polynomial exists.

B = 3x² - 5x⁴ + 2x - 12

This polynomial exists.

C = x³ - 7x² + 9x - 5x⁴ - 20

This polynomial exists.

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial.

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial.

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

A polynomial is not what it is.

The polynomials are thus resolved.

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We need to divide the total cost by the number of books in the package. Each book costs approximately $1.10.

To find out how much each book costs, we can use the concept of unit rate. Unit rate is a ratio of two quantities, where the denominator is always one. In this case, we want to find the cost of one book, so we need to divide the total cost by the number of books in the package.

Let x be the cost of one book. Then we have:

3x = 3.29

To solve for x, we can divide both sides by 3:

x = 3.29/3

x ≈ 1.10

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The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

The given coordinate points are (3, 6), (-5, 7), (13, 1), and (7, 14).

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

A) (14, 5)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (14, 5) is included in the function.

It is a function as every input has a unique output.

B) (5, 6)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (5, 6) is included in the function.

It is a function as every input has a unique output.

C) (7, 2)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (7, 2) is not included in the function.

Since the element 7 corresponds to two different images i.e., 14 and 2.

D) (8, 0)

Along with the given points (3, 6), (-5, 7), (13, 1), and (7, 14), the point (8, 0) is included in the function.

It is a function as every input has a unique output.

The point cannot be included in the function is (7, 2). Therefore, option C is the correct answer.

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The Cost of jacket before tax is 74.73.

According to the statement

We have to find that the cost of jacket.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

the sales tax is 6%. The total cost is $79.49.

Then the real cost is :

Real cost = 6% of the $79.49

Then

solve it

tax amount applied on the jacket = 6/100*79.49

tax amount applied on the jacket = 0.06*79.49

tax amount applied on the jacket = 6/100*79.49

tax amount applied on the jacket = 4.76

Then

Cost of jacket before tax = 79.49 -4.76

Cost of jacket before tax = 74.73.

So, The Cost of jacket before tax is 74.73.

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60% (Percentage)of the students in the group do not Travel to school by car.

The percentage of students who do not travel to school by car,  to know the total number of students in the group and the number of students who do not travel by car.

the total number of students in the group is 100 for the sake of calculation. This number can be adjusted based on the specific group size mentioned in your question.Suppose out of these 100 students, 40 students travel to school by car. To find the percentage of students who do not travel by car, we subtract the number of students who travel by car from the total number of students and then calculate the percentage.

Number of students who do not travel by car = Total number of students - Number of students who travel by car = 100 - 40 = 60.

The percentage, we divide the number of students who do not travel by car by the total number of students and multiply by 100:

Percentage of students who do not travel by car = (Number of students who do not travel by car / Total number of students) * 100

Percentage of students who do not travel by car = (60 / 100) * 100 = 60%.

Therefore, 60% of the students in the group do not travel to school by car.

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The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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Answer:

d = 9/10

Step-by-step explanation:

Hi,

d divided by 5/6 = 3/4

You can't divide fractions, instead, you flip the fraction and multiply. So, in this case, you would flip 5/6 to get 6/5 and multiply it by 3/4 to get d.

d ÷ 5/6 = 3/4

Multiply both sides by 6/5 (remember to flip)

d = 3/4 x 6/5

(when multiplying fractions, you can multiply straight across)

d = 18/20

(simplify - both numbers can be divided by 2)

d = 9/10

Hope this helps :)

Answer:

d = 5/8

Step-by-step explanation:

Mulitply by the reciprocal

= d x 6/5 = 3/4

Reorder the terms

=6/5d = 3/4

Multiply both sides

Solution

d = 5/8

Alternate form

d = 0.625

Let's denote the total distance traveled by the object as `d` and time as `t`.

We can use the given information to set up a system of equations:

When t = 10.0 seconds, d = 50.0 meters

50.0 = a(10.0)^2 + b(10.0) + c         (Equation 1)

When t = 20.0 seconds, d = 200.0 meters

200.0 = a(20.0)^2 + b(20.0) + c          (Equation 2)

When t = 0 seconds, d = 0 meters

0 = a(0)^2 + b(0) + c           (Equation 3)

Simplifying Equation 3, we get c = 0.

Substituting c = 0 in Equations 1 and 2, we get:

50.0 = 100a + 10b               (Equation 4)

200.0 = 400a + 20b              (Equation 5)

We can solve Equations 4 and 5 simultaneously to get the values of `a` and `b`:

From Equation 4, we get:

10b = 50 - 100a

b = 5 - 10a

Substituting this value of `b` in Equation 5, we get:

200.0 = 400a + 20(5 - 10a)

200.0 = 400a + 100 - 200a

200.0 = 200a + 100

100.0 = 200a

a = 0.5

Substituting this value of `a` in Equation 4, we get:

50.0 = 100(0.5) + 10b

50.0 = 50 + 10b

b = 0

Therefore, the quadratic function that models the total distance traveled by the object is:

\(d = 0.5t^2\)

To find the total distance traveled by the object after 30.0 seconds, we can substitute `t = 30.0` in the above equation:

\(d = 0.5(30.0)^2\)

d = 450.0 meters

Therefore, the object will travel a total distance of 450.0 meters after 30.0 seconds.

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Answer: It's C because It was correct on my test.

If I wrong i'm really sorry

Step-by-step explanation:

C. Isosceles; since a rhombus always has 4 equal sides, each triangle must have 2 equal sides.

An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.

A rhombus is a quadrilateral with all four sides congruent, or equal in length. When a diagonal is drawn in a rhombus, it will always divide the rhombus into two congruent triangles. Since the opposite sides of a rhombus are congruent, the two triangles formed by the diagonal will always have two congruent sides. Therefore, each triangle is an isosceles triangle.

A rhombus can have angles of various degrees. It can have angles more than 90 degrees, less than 90 degrees, or 90 degrees which means the statements A, and D are incorrect.

B is incorrect because the triangles formed by the diagonal of a rhombus will not have 3 equal sides, because the diagonal will not be congruent with the sides.

Hence, the correct answer would be an option (C).

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Answer:

X = 75°

Y = 105°

Z =75

Step-by-step explanation:

Answer:

a = 281.25 mg after two hours

Step-by-step explanation:

Here, we want to get the amount of aspirin that will be present after two hours

what we simply do here is to substitute 2 for t

Thus, we have it that;

a = 500(3/4)^2

a = 500•(0.75)^2

a = 281.25 mg

Answer:

4

Step-by-step explanation:

Hope this helped

Answer:

-3 and 7 are different bc -3 is negative and 7 is positive and they have different absolute values and are different distance from 0

Step-by-step explanation:

Hey hoped I helped have a great day and consider marking this brainliest if you do thank you in advanced!

Answer:

3.

let basketballs be x

and footballs will be 3 + x

3 + x + x = 27

2x = 27 - 3

2x = 24

x = 12

basketballs were 12 and footballs 15

4.bowl of soup x

hamburger 2x

2x + x = 738

3x = 738

x = 246

bowl of soup 246 calories

hamburger 492 calories

5. lisa x

carmen x - 6

x - 6 + x = 168

2x = 174

x = 87

lisa 87 strokes and carmen 81 strokes

6. first number x

second number x + 1

x + x + 1 = 191

2x = 190

x = 95

first number is 95 and second number is 96

Answer:

4 pizzas are needed.

Step-by-step explanation:

See image. You could totally think this through and use mental math to figure out how many pizzas are needed. See first image. Picture a pizza, cut it into 6 slices. It feeds 6 people. 2 pizzas feed 12 people. 3 pizzas feed 18 people. 4 pizzas feed 24 people.

If you have to write equations and show math work, you can write a single-variable equation or use a proportion. See image.

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Answer:

\(Probability\ of\ picking\ a\ 7=\frac{1}{10}\\Probability\ of\ picking\ a\ card\ less\ than\ 5=\frac{4}{9}\)

Step-by-step explanation:

\(We\ are\ given\ that,\\The\ total\ outcomes\ to\ the\ Random\ Experiment\ A\ are\ 1,2,3,4,5,6,7,8,9,10.\\ (We\ don't\ consider\ Ace\ Cards\ or\ Face\ Cards, here.)\\Hence,\\Lets\ consider\ picking\ the\ first\ Card:\\\\Here,\\The\ favorable\ condition\ is\ getting\ a\ 7.\\ No.\ of\ favorable\ elementary\ events=1\\ Total\ no.\ of\ elementary\ events=10\\ We\ know\ that,\\\)

\(Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ 7]=\frac{1}{10}\)

\(Now,\\As\ we've\ already\ picked\ a\ card[i.e\ 7],\\The\ total\ outcomes\ to\ the\ Random\ Experiment\ A\ are\ 1,2,3,4,5,6,8,9,10.\\Hence,\\Lets\ consider\ picking\ another\ card\ less\ than\ 5:\\Here,\\The\ favorable\ condition\ is\ picking\ a\ card\ less\ than\ 5.\\Hence,\\The\ favorable\ outcomes\ are\ 1,2,3,4.\\No.\ of\ favorable\ elementary\ events=4\\Total\ no.\ of\ elementary\ events=9\\As\ we\ already\ know\ that,\\\)

\(Probability[of\ an\ Event\ A]=\frac{Favourable\ no.\ of\ elementary\ events\ to\ A}{Total\ no.\ of\ elementary\ events}\\Probability[of\ picking\ a\ card\ less\ than\ 5]=\frac{4}{9}\)

The volume of the solid is 207.23 cm³.

Volume of the Solid:

Volume is the area occupied by an object/matter (solid, liquid, gas) within a 3D object. Alternatively, the volume of a three-dimensional object is generally defined as the capacity of the object that matter can hold.

For example, the volume of a cubic box indicates how much water or other substance it can contain. For ice cream cups, the amount of ice cream that can fit in the cup without gaps corresponds to the volume of the ice cream cup.

Now, based on the question:

Volume of Solid = Volume of Cylinder + Volume of Cone

Volume of Cylinder = πr²h

v= 3.14 * (3)² * 6

v = 169.56

Volume Of Cone:

Cone volume defines the space or volume of the cone. A cone is a three-dimensional geometric shape with a circular base that tapers from a flat base to a point called an apex or vertex. A cone is formed by a series of line segments, half-lines, or lines connecting vertices that are common to all points on the base in a plane that does not contain vertices. A cone can be thought of as a series of noncongruent disks that overlap each other such that the ratios of the radii of adjacent disks are kept constant.

We know that :

Volume of Cone = πr² h/3

v = 3.14 * (3)² * 4/3

v = 37.7

Now,

Volume of Solid = 169.56 + 37.7

              = 207.26 cm³

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We can determine that events A and B are dependent.

Based on the given information, we can determine if the events A and B are dependent or not. Two events are considered dependent if the occurrence of one event affects the probability of the other event occurring.

In this case, we know that the probability of event A occurring given that event B happens is 0.7. This suggests that the occurrence of event B affects the probability of event A occurring. Therefore, we can conclude that events A and B are dependent.

Moreover, we can use the formula for conditional probability to calculate the probability of both events occurring together. The formula states that the probability of A and B occurring together is equal to the probability of A given B multiplied by the probability of B.

P(A and B) = P(A | B) x P(B)
P(A and B) = 0.7 x 0.2
P(A and B) = 0.14

This means that the probability of events A and B occurring together is 0.14, which is relatively low. However, since the events are dependent, it is important to consider the occurrence of event B when calculating the probability of event A.

In conclusion, based on the given information, we can determine that events A and B are dependent, and we can calculate the probability of both events occurring together using the formula for conditional probability.

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Answer:

sin(2x)cos(7x) - cos(2x)sin(7x)= -0.1

The Adding and Subtracting Rational Expression Calculator is a free online tool that displays the results of rational number arithmetic operations.

A rational expression is nothing more than the product of two polynomials. In other words, it is a fraction with polynomial numerator and denominator. Rational expressions resemble fractions with variable denominators (and often numerators too).

Adding or subtracting rational expressions involves four steps: All fractions must be written as equivalent fractions with a common denominator. Combine the fractions to form a single fraction with a common denominator. Reduce the complexity of the expression at the top of the fraction. Reduce the fraction to its simplest terms.

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Answer:

The answer should be -5/6

With the negative

(and it's a fraction)

Answer:

\(\frac{1}{24}\)

Step-by-step explanation:

2*11:24 - 3*7:24

\(\frac{2*11}{24}\) - 0,875 = \(\frac{11}{12}\) - \(\frac{7}{8}\) = \(\frac{22-21}{24}\) = \(\frac{1}{24}\)

(2 and 24 simplify)

0,875 = \(\frac{7}{8}\)

The zeros of the function f(x) = (x + 6)(x - 5)(x - 4) are x = -6, x = 5, and x = 4.

Address for x to choose the zeros of the ability f(x) = (x + 6)(x - 5)(x - 4), then, set the capacity to nothing. A function's zeros are the values of x for which it evaluates to zero.

We own: if f(x) is set to zero.

The zero product property, which states that the product of two or more factors must have a value of zero (x + 6, x - 5, x - 4) in order to be zero, can now be used. As a result, we can use the following method to solve for x:

As needs be, the zeros of the limit f(x) = (x + 6)(x - 5)(x - 4) are x = - 6, x = 5, and x = 4. x minus 6 gives you 0; x minus 5 results in 0; what's more, x short 4 equivalents 0;

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Answer:

=8r+8

Step-by-step explanation:

The margin of error for this interval can be calculated by taking the difference between the upper and lower bounds of the confidence interval and dividing it by 2. In this case, the difference between 0.333 and 0.397 is 0.064. Dividing that by 2 gives us a margin of error of 0.032.

This means that if we were to take multiple samples of 500 American households and calculate a confidence interval for each sample, about 95% of those intervals would contain the true proportion of American households that own a dog. However, each interval would differ slightly due to sampling variability, and the true proportion may fall outside the given interval. It is important to note that the margin of error is influenced by the sample size. Larger sample sizes tend to produce smaller margins of error, while smaller sample sizes result in larger margins of error. Therefore, it is crucial to have a sufficient sample size to ensure that the estimate is accurate and the margin of error is small.

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Answer:

=3y - x =0

Step-by-step explanation:

\( \frac{y - y1}{x - x1} = m\)

Therefore the gradient ( m ) is not given

from the question point =(-9,-3) and (-12,-4).

Gradient (m) =

\( \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 4 - ( - 3)}{ - 12 - ( - 9)} \\ = \frac{ - 4 + 3}{ - 12 + 9} \\ = \frac{ - 1}{ - 3} \\ = \frac{1}{3} \)

therefore m = 1/3.

The equation

\( = \frac{y - y1}{x - x1} = m \\ \frac{y - ( - 3)}{x - ( - 9)} = \frac{1}{3} \\ \frac{y + 3}{x + 9} = \frac{1}{3} \\ 3(y + 3) = 1(x + 9) \\ 3y + 9 = x + 9 \\ 3y = x + 9 - 9 \\ 3y = x + 0 \\ 3y - x = 0\)

therefore the equation of the line = 3y-x=0

If a substance is transported across a cell membrane from an area of low concentration to an area of high concentration, you know that

it is a type of active transport.

What do pinocytosis and phagocytosis have in common?

They are both forms of endocytosis.

The estimated product is  6000

What is estimation?

To make calculations simpler and more realistic, estimation of a number refers to a plausible assumption of the actual value.

Estimation is the process of approximating a quantity with the necessary accuracy.

The result is quickly and roughly determined by rounding off the numbers used in the calculation.

To estimate the product, we first round off the multiplier and the multiplicand to the nearest tens, hundreds, or thousands and then multiply the rounded numbers.

598 ≈ 600

9≈ 10

600*10

= 6000

The estimated product is  6000

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