The Transportation Security Administration (TSA) is responsible for airport security. On some flights, TSA officers randomly select passengers for an extra security check before boarding. One such flight has 76 passengers (12 in first class and 64 in coach). TSA officers selected an SRS of 10 passengers for screening. Let p-hat be the proportion of first class passengers in this sample. So, assuming that you are checking for the probability of choosing a first class passenger out of all passengers on the flight. Is the 10% condition met in this case? Justify your answer. (POS 447#31)


- Yes, 10 passengers out of 76 is less than 10% of the population of the flight.

- yes, 10 passengers out of all passengers on all flights is less than 10% of the population

- No, 10 passengers is the population being studied and is not less than 10% of the 10 total

- No, 10 passengers out of 76 is more than 10% of the population of the flight.

Answer:

  {-2, -1, 3}

Step-by-step explanation:

You want the zeros of F(x)=x^3-7x-6.

The signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.

The rational root theorem tells you any real roots will be divisors of the constant, 6. Hence, we only need to try ±1, ±2, ±3.

The sum of coefficients is 1-7-6 = -12, so x=1 is not a solution. The positive solution is greater than +1.

The sum of coefficients of odd-degree terms is (1 -7) = -6, equal to the sum of coefficients of even-degree terms (0 -6) = -6, so -1 is a root.

The attachment shows F(x) divided by the corresponding factor (x+1) using synthetic division. The quotient is (x² -x -6), so we know the factorization is ...

  F(x) = (x +1)(x² -x -6) = (x +1)(x -3)(x +2)

The zero product rule tells us the roots are ...

  x = {-2, -1, 3}

The graph of the function tells us the same thing.

__

Additional comment

The constants in the binomial factors of x² -x -6 will be factors of the constant term, -6, that sum to the linear term coefficient, -1. These are -3 and +2.

We like a graphing calculator for finding roots of a cubic and higher-degree polynomials. It will show only the real roots, so more steps are required for complex roots.

Answer:

-3<2-y<-1

Step-by-step explanation:

1/5 1/y and 1/3 y is

Answer:

2,802

Hope this helps :)

Step-by-step explanation:

1. Multiply the numbers.

467

× 6

2,802

2. Check.

2,802 ÷ 6 = 467 ✓

The formula for the given condition will be x=14t, where x is the number of books that Tea has and t is the number of books that Joseph has.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.

Here,

let x be number of books tea have be x,

Joseph has 14 books.

Tea have t times the book joseph have,

x=14t

The expression for the given condition will be x=14t where Tea have t times the book joseph have and x be number of books tea have.

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a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet, 343.63 feet the total distance traveled by the ball.

The length of the line connecting any two places is known as their distance from one another. Subtracting the different coordinates will reveal the distance if the two locations are on the same horizontal or vertical line.

h₁ = 20 feet = h

h₂ = 0.89h

h₃ = 0.89²h

h₄ = 0.89³h

...........................

h(n) = 0.89ⁿh

Therefore, total distance travelled = 20 + 2 (0.89h + 0.89²h + 0.89³h +.....)

                                                        = 20 + 2h (0.89 + 0.89² + 0.89³ +.....)

Sum of (h.p)∞ = a/ (1-r)

Where, a = first term = 0.89

r = common ratio = 0.89

total distance travelled = 20 + 2 × 20 ×(0.89) × [1/(1 - 0.89)]

                                      = 343.63 ft.

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Answer:

-10x + 15y - 30z + 50

Step-by-step explanation:

apply the distributive property

-10x + 15y - 30z + 50

The common factor, in this case, is a, so the GCF is still a.

What is the greatest common factor (GCF)?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.

To find the greatest common factor (GCF) of two or more terms, we need to factor each term and then identify the factors that are common to both terms.

In this case, we have the terms 3a and 5a. To find the GCF, we can factor each term as follows:

3a = 3a

5a = 5a

The only common factor between the two terms is a, so the GCF of 3a and 5a is a.

Alternatively, we could have written the terms as:

3a = 3 * a

5a = 5 * a

Hence, The common factor, in this case, is a, so the GCF is still a.

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It is growing exponentially so this is non linear function of squares of given negative numbers.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.

Here,

0²=0

-1²=1

-2²=4

-3²=9

Hence, It is a nonlinear function of the squares of the given negative numbers because it is growing exponentially.

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Answer: 4x+6

Step-by-step explanation:

We know that the growth rate is 4 inches every month, so let x represent the number of months, so we have 4x.

We know that it was originally 6 inches, so we have +6

So the equation is 4x+6

If you can, please give me a Brainliest, I only need 2 more to become an Ace, thank you!

You'll need 16 parts of milk and sugar.

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

Hence, You'll need 16 parts of milk and sugar.

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Step-by-step explanation:

then we do the multiplications and compare :

(x - p)² = q

x² - 2px + p² = q

x² - 2px + p² - q = 0

our target is

x² + 4x - 20 = -8

x² + 4x - 12 = 0

now we compare the variable expression with the target.

x² = x² check

4x = -2px

4 = -2p

p = -2

-12 = p² - q = 4 - q

-16 = -q

q = 16

so, we have

(x - -2)² = 16

(x + 2)² = 16

The conversion of the units is 7 1/2 cup is 112.5 tbsp

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

convert 7 1/2 cup to tbsp

This can be represented using the following equation

7 1/2 cup = x tbsp

Express as decimal

x tbsp = 7.5 cups

1 cup = 16 tablespoons

So, we have the following representation

x tbsp = 7.5 * 15 tablespoons

Evaluate

x tbsp = 112.5 tablespoons

Hence, the conversion is 112.5 tablespoons

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Answer

l-a

ll-d

lll-c

lV-b

don't think it is completely right but I tried

Answer:

2 hours and 55 minutes

Step-by-step explanation:

1/5+1/7-=1/x

12/35=1/x

cross multiply

12x=35

35/12=2 hr 55 mins

Answer:

It is a LINEAR FUNCTION with the form Y = mX + B where m is the slope

Step-by-step explanation:

Answer:

Slope-intercept form

Step-by-step explanation:

Given equation,

→ y = 5x - 4

Now it is in the form of,

→ y = 5x - 4

→ y = mx + b

(Slope-intercept form)

It is Slope-intercept form.

In linear equation,2 is the number of cases and the number of additional units.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

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

13 cases of 6 units each = 78

Additional units = 2

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The complete question is -

80 units needed, 6 units per case. What is the number of cases and the number of additional units?

The function representing the given situation will be f(x) = x², where x is the number of week.

A function is defined as a relation between a set of inputs having one output each.

Given that, Cate started with $0 in her account. After one week, Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.

As we see,

In 1 week the amount is $1

In 2 week the amount is $4

In 3 week the amount is $9

Which is showing that the amount is square of the week.

Hence, we can write the function as f(x) = x², where x is the number of week.

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Answer:

  (B) 146 feet

Step-by-step explanation:

You want to know the maximum height of a pebble whose height is described by p(t) = -16t² + 48t + 110.

We can write the equation in vertex form as follows:

  p(t) = -16(t² -3t) +110

  p(t) = -16(t² -3t +2.25) +110 +16(2.25)

  p(t) = -16(t -1.5)² +146

This shows the vertex of the quadratic curve to be (1.5, 146).

The maximum height of the pebble is 146 feet.

Answer:

Step-by-step explanation:

y= 2x+36

x=36

Answer:

30 tickets

Step-by-step explanation:

A plane ticket cost $30 per ticket max ended up having to spend $900 how many tickets did he buy ?

900/30 = 30 tickets

Answer: $309.51

Step-by-step explanation:

100% - 43% = 57%

543 times 0.57 = $309.51

If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.

In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;

Vertex = (4 - 2, 6 - 2)

Vertex = (2, 4).

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There are no equations that 's suitable.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, etc.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.

According to our question-

823÷418=2

1112÷834=1.333333333

Hence, There are no equations that 's suitable.

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The value of the expression divide negative 3 and one-sixth ÷ negative 8 and two-fifths is 95 over 252. Option B

A fraction can be defined as the part of a whole item, number or element.

The several types of fractions are;

From the information given, we have that;

-3 1/ 6 ÷ - 8 2/ 5

Turn into improper fractions

-19/ 6 ÷ 42/ 5

Take the inverse of the divisor and multiply

- 19/ 6 × 5/ 42

95/252

Hence, the value is 95/252

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The number of pizzas there now will be 3 ¹⁷/₂₀. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Eli brings 6 3/5 pizzas to a party. His companions eat 5 7/10 pizzas. Peng appears with 2 3/4 pizzas.

⇒ (6 + 3/5) - (2 + 3/4)

⇒ (33 / 5) - (11 / 4)

⇒ (132 - 55) / 20

⇒ 77 / 20

⇒ 3 ¹⁷/₂₀

The number of pizzas there now will be 3 ¹⁷/₂₀. Then the correct option is D.

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Option D in the correct form is given below.

D. 3 17/20

Answer:

Try Doing Like this.

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Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

Interquartile range :

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit Destin and 85.

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