a local news outlet reported that 56% of 600 randomly sampled kansas residents planned to set off fireworks on july 4th. compute the 98% confidence interval for the true proportion.

Answer:

Step-by-step explanation:

For a function g(x) = aˣ the domain is (-∞, ∞) and tha range is (0,∞)

For \(f(x)=a^{(x+h)} +k\) the h means moving function g(x)=aˣ along X-axis {the domain doesn't change as it is R} and the k means moving function g(x)=aˣ along Y-axis {the begining of the range moves from 0 to k}

Answer: 1.N 2.N 3.P 4.P

Step-by-step explanation: To determine if a simple given proportion is true, look at the fractions. If these ratios (fractions) both reduce to the same value, the proportion is true. Double check: the "cross multiply" of 12 • 9 = 4 • 27 is true. both fractions reduce to 1/3.

The width of a rectangular rug is \(2\frac{1}{4} yards\)

From the question, we have

Length(l) = 4 yards

Area of a rectangular rug = 9 square yards.

We know that,

Area of a rectangular rug = length × width

⇒\(9 = 4*width\)

⇒\(width=\frac{9}{4} =2\frac{1}{4} yards=2.25 yards\)

Area of rectangle:

Rectangle area in geometry refers to the area that a rectangle occupies on a two-dimensional plane. A quadrilateral, a form of two-dimensional object with four sides and four vertices, is what a rectangle is. The rectangle's four angles are all right angles or exactly 90 degrees. The rectangle's opposing sides are equal and parallel to one another. It should be noted that a parallelogram likewise has equal and parallel opposite sides, but the angles are not exactly 90 degrees.

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The measure of angle c is m ∠c = 103°.

What is triangle?

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle with the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane.

180 degrees is the sum of the triangle's three angles.

Let Δabc is given with m ∠a = 30° and m ∠b = 37°

We have to find the measure of angle c.

Since the sum of three angles of triangle is 180 degree.

⇒ m ∠a + m b + m ∠c = 180°

30° + 37° + m ∠c = 180°

77° + m ∠c = 180°

m ∠c = 180°- 77°

m ∠c = 103°

Hence, the measure of angle c is m ∠c = 103°.

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Answer:

between points (x1,y1) and (x2,y2) is

m=(y2-y1)/(x2-x1)

Step-by-step explanation:

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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Step-by-step explanation:

3:5

B,D

7:8

E,F

5:9

b,H

4:1

c,g

Answer:

m

------- <------ fraction bar means divide too

z + u

Hope this helps :)

Answer:

the best answer is option d

Step-by-step explanation:

4/5 x -10 = -40/5 = -8

t x t = t^2

-8t^2

Answer:

\( \sf \: d) \: - 8 {t}^{2} \)

Step-by-step explanation:

Given expression,

\( \sf \rightarrow \: \frac{4}{5}t \: ( - 10t )\)

Let's simplify the expression,

\( \sf \rightarrow \: \frac{4}{5} t \: ( - 10t) \: \)

\( \sf \rightarrow \: ( \frac{4}{5} \times - 10)( {t} \times t)\)

\( \sf \rightarrow \: ( \frac{ - 40}{ \: 5} )( {t}^{2} )\)

\( \sf \rightarrow \: - 8{t}^{2} \)

Hence, the option (d) is correct.

Answer:

x = 16 , MJ ≈ 8.1

Step-by-step explanation:

5

the inscribed angle JKL is half the measure of the arc JL that subtends it, so

9x = 2 × 72 = 144 ( divide both sides by 9 )

x = 16

6

the angle between tangent KJ and diameter JL at the point of contact is right, that is ∠ KJL = 90°

then Δ KJL is a right triangle

using Pythagoras' identity in the right triangle

KJ² + JL² = KL²

10² + JL² = 19²

100 + JL² = 361 ( subtract 100 from both sides )

JL² = 261 ( take square root of both sides )

JL = \(\sqrt{261}\)

MJ is the radius of the circle and is half the diameter JL

MJ = \(\sqrt{261}\) ÷ 2 ≈ 8.1 ( to 1 decimal place )

Therefore, the cost of one blanket is $30 and the cost of one sheet is $12.5

Unitary Method

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given,

The cost of three blankets = $90

The cost of two sheets and one blanket = $55

Let x be the cost of the sheet.

From the given details,

We know that, the cost of one blanket is \(\frac{90}{3} =30\)

So, if the cost of one blanket is $30, then 2x+30=55

Then

2x=55-30

2x=25

x=25/2

x=12.5

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Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.

Hi

-7 - 2 + 6 = -9 + 6 = 6 - 9 = - 3

have a good day ;)

Answer:

-340

Step-by-step explanation:

Hey there!

1 + 2 - 5 * 67 - 8

= 3 - 5 * 67 - 8

= 3 - 335 - 8

= -332 - 8

= -340

Therefore, your answer is: -340

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The probability of drawing a picture card or a clubs is: 6/52 + 13/52 - 4/52 = 25/52

The probability of drawing a picture card (jack, queen, king, or ace) or a clubs from a deck of 52 cards can be calculated by adding the probability of drawing a picture card to the probability of drawing a clubs, and then subtracting the probability of drawing a card that is both a picture card and a clubs (since this would be counted twice in the previous two probabilities).

The probability of drawing a picture card is 16/52 (since there are 16 picture cards in the deck of 52 cards). The probability of drawing a clubs is 13/52 (since there are 13 clubs in the deck of 52 cards). The probability of drawing a card that is both a picture card and a clubs is 4/52 (since there are 4 picture cards that are also clubs).

Therefore, the probability of drawing a picture card or a clubs is:

16/52 + 13/52 - 4/52 = 25/52

Simplifying, this is equivalent to:

5/13 or approximately 0.385 or 38.5%

In other words, there is a 38.5% chance of drawing a picture card or a clubs from a deck of 52 cards.

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Answer:

Here is the solution...hope it helps:)

Answer:

x y

1 2

2 2

3 2

4 2

5 2

To write the equation y = -2x + 6 as a table, we need to substitute different values of x into the equation and solve for y. Here is an example of a table with some values of x and the corresponding values of y:

x y

1 4

2 2

3 0

4 -2

5 -4

Step-by-step explanation:

Answer:5 percent

Step-by-step explanation: subtract new amount minus old amount then divide then make the decimal you get into and change to a percent

The solution to the recurrence relation is: aₙ = a(1)ⁿ + b * n * (1)ⁿ

= a + bⁿ

The solution to the recurrence relation with initial condition of a₁ = 2 is: aₙ  = 2

A recurrence relation is defined as an equation that recursively defines a sequence in which the next term is a function of the previous term.

The given recurrence relation is:

aₙ = 2aₙ₋₁ - aₙ₋₂

n ≥ 2

a₀ = a₁ = 2

Rewrite the recurrence relation to get:

aₙ - 2aₙ₋₁ + aₙ₋₂ = 0

Now form the characteristic equation:

x² − 2x + 1 = 0

x = 1

We therefore know that the solution to the recurrence relation will have the form:

aₙ = a(1)ⁿ + b * n * (1)ⁿ

= a + bⁿ

To find a and b , plug in n = 0 and n = 1 to get a system of two equations with two unknowns:

2 = a + b*0

2 = a

2 = a + b*1

2 = a + b

Thus:

a = 2 and b = 0

aₙ  = 2 + 0 * n = 2

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Complete question is:

a) Find all solutions of the recurrence relation aₙ = 2aₙ₋₁ - aₙ₋₂.

b. find the solution of the recurrence relation in part (a) with initial condition a₁ = 2

Answer:

7x+35

7(20)+35= 175 for 20 tables

I'm not sure what t means as the equation is not possible without that variable

Answer:tables 175 and the other one is 35+7t

Step-by-step explanation:just look up

Answer:

Circumference = 7.68 cm

Area = 113.04 cm²

Step-by-step explanation:

First, let us find the radius of the given circle.

d = 2r

r = d / 2

r = 12 / 2

r = 6 cm

And now, let us find the circumference of the circle using the below formula.

C = 2 π r

C = 2 × 3.14 × 6

C = 37.68 cm

And now let us find the area of the circle using the below formula.

A = π r²

A = 3.14 × 6 × 6

A = 113.04 cm²

Your monthly mortgage payment is $2,147.29. This can be solved by the concept of Simple interest.

As you can only afford a 10% down payment, your mortgage bank will lend you $360,000 at a 6% Annual Percentage Rate (APR) for a 360-month loan.

To calculate the monthly mortgage payment, we need to determine the monthly interest rate, which is 6% divided by 12, or 0.005. We also need to know the number of payments, which is 360 (30 years x 12 months).

Using the formula for the monthly mortgage payment, we can calculate that it will be $2,147.29. This amount takes into account the principal amount borrowed ($360,000), the monthly interest rate (0.005), and the number of payments (360).

Therefore, your monthly mortgage payment will be $2,147.29 for the next 30 years. It is important to note that this calculation assumes simple interest, which is not always the case with mortgage loans. It is always a good idea to consult with a financial advisor to determine the best loan options for your situation.

Therefore, your monthly mortgage payment is $2,147.29.

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Answer:

Step-by-step explanation:

In the question it is given that the volume of a sphere is 4,500π cubic yards. And we have to find the radius.

We know that,

Now, Substituting the values in the fomulae :

⇒ 4/3πr³ = 4500π

Cancelling π from both sides :

⇒ 4/3r³ = 4500

⇒ 4r³ = 4500 × 3

⇒ 4r³ = 13500

⇒ r³ = 13500/4

⇒ r³ = 3375

Taking cube root on both sides we get :

⇒ r = 15

Therefore,

Answer:

Step-by-step explanation:

In this question we have provided volume of sphere that is 4500π cubic yards . And we are asked to find the radius of the sphere .

We know that ,

\( \qquad \: \frak{Volume_{(Sphere)} = \dfrac{4}{3}\pi r {}^{3} } \quad \bigstar\)

Where ,

Solution : -

As in the question it is given that volume of sphere is 4500π . So equation it with volume formula :

\( \dashrightarrow \: \qquad \: \dfrac{4}{3} \pi r {}^{3} = 4500\pi\)

Step 1 : Cancelling π as they are present on both sides :

\(\dashrightarrow \: \qquad \: \dfrac{4}{3} \cancel{\pi }r {}^{3} = 4500 \cancel{\pi}\)

We get ,

\(\dashrightarrow \: \qquad \: \dfrac{4}{3} r {}^{3} = 4500\)

Step 2 : Multiplying with 3/4 on both sides :

\(\dashrightarrow \: \qquad \: \dfrac{ \cancel{4}}{ \cancel{ 3}} r {}^{ 3} \times \dfrac{ \cancel{3}}{ \cancel{4}} = \cancel{ 4500} \times \dfrac{3}{ \cancel{4} }\)

On further calculations, We get :

\(\dashrightarrow \: \qquad \: r {}^{3} = 1125 \times 3\)

\(\dashrightarrow \: \qquad \:r {}^{3} = 3375\)

Step 3 : Applying cube root on both sides :

\(\dashrightarrow \: \qquad \: \sqrt[3]{r {}^{3} } = \sqrt[3]{3375} \)

We get :

\(\dashrightarrow \: \qquad \: \purple{\underline{\boxed{\frak{r = 15 \: yards}}}}\)

The total area under a probability density function is always equal to 1.

This means that the probability of any possible outcome occurring in the given probability distribution is 1, or 100%. The area under the probability density function represents the likelihood of a random variable falling within a particular range of values, and the total area represents the probability of all possible outcomes.

The probability density function can be used to calculate the probability of a random variable taking on a specific value, as well as the probability of a random variable falling within a certain range of values. The area under the probability density function can be calculated using integration techniques.

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Answer:

-3

Step-by-step explanation:

The equation models the median monthly cost for the rent of a one bedroom apartment in San Fransisco.

If the year 2013 can be counted as t=0

Then the next year 2014 will be t=1

And the next year, 2015, will be t=2

To determine how much less would James pay if he moved in 2014 instead of 2015, you have to calculate the median cost for both yeanrs and calculate their difference.

Median cost for 2015 (t=2)

Median cost for 2014 (t=1)

Subtract the median cost of 2014 to the median cost of 2015:

He woul have paid $250 less if he rented the place in 2014.

Answer:

8 buses

Step-by-step explanation:

Find the total number of people going on the trip by adding the number of students and the number of chaperones:

Total number of people = Number of students + Number of chaperones

= 324 + 32

= 356

Divide the total number of people by the capacity of each bus to find the number of buses needed:

Number of buses needed = Total number of people / Bus capacity

= 356 / 48

≈ 7.42

Since we cannot have a fraction of a bus, we must round up to the nearest whole number, which means we need 8 buses.

The remainder of the division, 0.42, represents the fraction of a bus that would be needed to transport the remaining people if we had more than 8 buses available. In this case, since we do not have a fraction of a bus, we round up to the next whole number.

It is known that the smallest number wins the game.

As per the given data, Samantha has a score of 9 which is lowest.

Hence Samantha won the game.

Answer:

X = -8

Step-by-step explanation: