A recent study conducted by a health statistics center found that 25% of households in a certain country had no landline service. This raises concerns about the accuracy of certain surveys, as they depend on random-digit dialing to houeholds via landlines. Pick five households form this country at random. Complete parts a) through c).
a) what is the probability that all five of them have a landline?
b) what is the probability that at least one of them does not have a landline?
c) what is the probability that at least one of them does have a landline?

Answer:

m∠A = 32°

Step-by-step explanation:

8^2 = 12^2 + 15^2 - 2*12*15*cosA

Answer:

B

Step-by-step explanation:

did it on edge

Linear equations are two-variable equations that graph as a straight line.

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. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.

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The selling price of the antique through an online auction website is $680.

Given that,

Kyle sold an antique through an online auction website.

The website host charges Kyle $15, plus 2.5% of the final selling price of the antique.

After selling the antique, Kyle had to pay the website host $32.

Let x be the selling price of the antique.

We get an equation,

15 + (2.5% × x) = 32

15 + 0.025x = 32

0.025x = 17

x = $680

Hence the selling price is $680.

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Answer: approximately 10.8 centimeters

Step-by-step explanation:

We have a square, where each side measures approx. 4.25 in

Now we know that 1in ≈ 2.54 cm

Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm

So the approximate measure of the sides in centimeters is:

4.25*(2.54)cm = 10.8 cm

So we have that each side measures approximately 10.8 centimeters

Answer: the answer is 236400

Step-by-step explanation:

The answer is A. SAS.

If a parallelogram is given and we want to prove that ALMN is congruent to ANOL, we can use the SAS (Side-Angle-Side) postulate.

The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

In the case of the parallelogram, we know that AL is congruent to NO (opposite sides of a parallelogram are congruent) and LM is congruent to OL (opposite sides of a parallelogram are congruent). Additionally, angle LAM is congruent to angle LAO (opposite angles of a parallelogram are congruent).

By using the SAS postulate, we have two sides and the included angle that are congruent in both triangles. Therefore, we can conclude that triangle ALMN is congruent to triangle ANOL.

So, the answer is A. SAS.

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No, the expression (x^3 - 1) / (x^2 - 1) does not simplify to x.

To simplify the expression, let's first factorize both the numerator and denominator.

The numerator can be factorized using the difference of cubes formula: a^3 - b^3 = (a - b)(a^2 + ab + b^2). So, we have (x^3 - 1) = (x - 1)(x^2 + x + 1).

The denominator is a difference of squares: a^2 - b^2 = (a - b)(a + b). Therefore, (x^2 - 1) = (x - 1)(x + 1).

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

[(x - 1)(x^2 + x + 1)] / [(x - 1)(x + 1)]

The (x - 1) terms cancel out, leaving us with:

x^2 + x + 1 / (x + 1)

So, the simplified form of the expression is (x^2 + x + 1) / (x + 1), which is not equal to x.

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Answer:

96

Step-by-step explanation:

We need to evaluate this:

Let me attach the work:

You can see that the series is infinite geometric series.

The first term (a) would be:

The common ratio r is 2/3

So, sum to inifnity would be:

Therefore:

Answer is 18

9514 1404 393

Answer:

  (d) one output for every input

Step-by-step explanation:

A function is 1-to-1 if its graph passes the horizontal line test: a horizontal line may intersect the graph in only one place.

Answer:

-4, -9/4, 0.5, 2.2 (the last one) , 3.7

Step-by-step explanation:

I hope you have a great day and LEAVE ME ALONE! <3

Answer:

not my words... used quotes

“To love your country is to desire to see it become the best version of itself, to point out its failures, to recognize how we each have been complicit in allowing its worst to persist, to work together to create a community in which every resident has all that they need — love, food, shelter, health, peace, prosperity — and are truly treated as equals in every regard.”

‘Be proud of it, but not afraid to confront its problems’

To love your country is to be proud of it, but also to not be afraid to confront its problems and work to solve them. I love our blatant freedoms, despite all of the cries of “communism,” “social justice warriors” and “cancel culture.” We are still largely free to do what we want!

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can use a ratio and cross multiply to get your answer.

20 pounds       1 pound

----------------  = ----------------

      $11                 $ X

Forget about the units of measurement for now and just do the cross multiplying with the numbers  to solve for X.

(20) x (X) = (1) x 11   then divide both sides of the equal sign by 20

20X         11

------- = ----------    the 20 on top and bottom on the left side cancel out.

20            20

So you are left with X = 11/20  which is  $ 0.55

Answer:

D    15:1

Step-by-step explanation:

15 apple trees

26 orange trees

1 cherry tree

apple trees : cherry trees

       15        :         1

Answer: D    15:1

The two integers are equal to 1 and 7 respectively.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Let x represent the smaller number. Then the given relationships say ...

1/x + 2/(x+6) = 9/7

Multiplying by 7x(x+6), we have ...

7(x+6) +14x = 9x(x+6)

9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides

9x² +33x = 42 . . . . . . . . ...subtract 21x

3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3

(3x +14)(x -1) = 0 . . . . . . . . factor

Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.

Therefore, the two integers are equal to 1 and 7 respectively.

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The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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A sliced cylinder's cross section can be any shape that can be formed by intersecting a cylinder with a plane.

The shape of a sliced cylinder's cross section is determined by the angle and position of the slice.

If the slice is made parallel to the cylinder's base, the cross section is a circle.

If the slice is made at an angle to the cylinder's base, the cross section is an ellipse.

If the slice is made perpendicular to the cylinder's base, the cross section is a rectangle.

In general, a sliced cylinder's cross section can be any shape formed by intersecting a cylinder with a plane.

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Answer:

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Step-by-step explanation:

a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r

here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then

\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply all that by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

No, she does not have enough soil as she needs 4 pounds of soil.

What is meant by soil?

she as = 2 1/8 + 1 3/4

            = 17/8 + 7/4

            = 17+ 7 × 2 / 8

            = 17 + 14 / 8

           = 31/8

           = 3 7/8 pounds

           ≤ 4 pounds.

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Answer:

Answers - 4

Correct Answer - 1

Probability - 1/4

Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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here you go someone already has answered this question before <3

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf (-6) \: squared\)

This will be equal to..

\( \sf( - 6 ) ^ { 2 }\)

Multiply -6 by itself (squaring a number means to multiply the number by itself twice)

\( \sf- 6 \times - 6 \\ \)

-6 multiplied by-6 will get you 36 as the answer.

\( = \boxed{\boxed{\bf \: 36}}\)

The pairs of angles that are alternate interior angles will be angle 6 and angle 8.

When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.

Angles that are exterior to the lines, have different vertices, and sit on different sides of the transversal are referred to as alternate exterior angles. In other words, eight angles are created when a transversal intersects two parallel lines.

These van be illustrated in angle 6 and 8

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Lines l and m are parallel. Which of the following pairs of angles are alternate interior angles? ∠1 and ∠4 ∠2 and ∠3 ∠6 and ∠8

Answer: -2 1/8

Step-by-step explanation:

3 1/2 = 3 4/8

5 5/8 - 3 4/8 = 2 1/8

Add the negative sign back to get -2 1/8

The Area of the tray ≈380 cm

Hope it helps.

Do comment if you have any query.