list 1/6, -4, sq root of 8, 4.3 from least to greatest 

There is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

Here's a step-by-step explanation:

1. Identify the null hypothesis (H₀) and the alternative hypothesis (Hₐ): H₀: p = 0.26, Hₐ: p > 0.26.

2. Determine the significance level (α): α = 0.05.

3. Calculate the test statistic (z): In this case, z ≈ 2.25.

4. Determine the P-value: The P-value is given as approximately 0.1.

5. Compare the P-value to the significance level: If the P-value is less than or equal to the significance level (α), reject the null hypothesis. In this case, 0.1 > 0.05, so we do not reject the null hypothesis.

Based on the information provided, there is not sufficient evidence at the α=0.05 level to conclude that the proportion of people in Antonia's city that can speak more than one language is greater than 26%.

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Speed of the parachutist = 189 km/h

The speed in m/s .

km/h × 5/18 = m/s

189 km/h × 5/18 = 52.5 m/s

Time Given: 15 seconds

Distance = Speed × Time

Distance = 52.5 × 15 = 787.5 metres

The speed is 52.5 m/s .

The parachutist will fall 787.5 metres during 15 seconds of free fall with that speed.

Step-by-step explanation:

i will assume u mean y - 2x+1

y = 2x-1

parallel lines have the same slope (m) = x coefficient = 2

line general equation = y = mx + b

y = 2x + b

from the point given (4,-2)

x=4. y = -2

-2 = 2×4 +b

-2 = 8 + b

b = -10

y = 2x -10

if it is not y-2x +1

plz tell me

Answer:

x = 7i,-7i

Step-by-step explanation:

We are given x² = -49.

Using the square root - square root both sides.

√x² = √-49

Cancel the square and write plus-minus beside √-49.

x = ± √-49

Using the imaginary unit, i = √-1.

x = ± √49√-1

x = ± √49i

The square root of 49 is 7.

x = ±7i

Therefore, x = 7i,-7i but these solutions are in complex plane so in real plane, they do not exist.

The given expression is equivalent to 28.

We have the following expression -

c - 3y

We have the given expression as -

c - 3y

For c = 7 and y = - 7, we can write -

7 - 3(- 7)

7 + 21

28

Therefore, the given expression is equivalent to 28.

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To estimate the sum of a convergent alternating series with an absolute error of less than 0.001, we can use the Alternating Series Estimation Theorem.

This theorem states that the error made by approximating the sum of an alternating series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.

In other words, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that |a(n+1)| < 0.001, where a(n) is the nth term of the alternating series.

Then, using the Alternating Series Test, we know that the terms of the series must approach zero as n goes to infinity. So, if we want the absolute error to be less than 0.001, we need to find the smallest value of n such that:

|a(n+1)| < 0.001

Now, we can rearrange this inequality to solve for n:

|a(n+1)| < 0.001

a(n+1) < 0.001 (since the series is alternating)

(-1)(n+1) * a(n+1) < 0.001 (-1 to account for the alternating signs)

a(n+1) > -0.001

Since the terms of the series are decreasing in magnitude, we can assume that the smallest value of |a(n+1)|. Therefore, we can set n = 1 to get:

|a(2)| < 0.001

|(-1)2 * a(2)| < 0.001

|a(2)| < 0.001

So the absolute error will be less than 0.001 if we use the first two terms of the series to estimate the sum.

The total of the convergent alternating series can be estimated with a minimum of two terms and an absolute error of less than 0.001.

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Answer:Im pretty sure its choice B

Step-by-step explanation: its hard to explain

Answer:

There are 72 girls

Step-by-step explanation:

3/5 = 60%

So 60% of 120 is 72

Hope this helps!

Answer:

D: (0, -4)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Using Area of Cubiod , the surface area of silver stand is 60 ft². The set cost of can to paint the whole silver stand is not enough.

Area is defined as the total space taken up by shape of an object. The space covers by shape on the paper is called its Area.

We have given the following informations,

The silver stand is a shape made up of one small cuboid and other one biger cuboid .

The length of biger cuboid (l₁) = 7 ft

The width or breadth of biger cubiod (b₁ ) = 1 ft

the heigyht of biger cubiod (h₁) = 2 ft

Surface area of biger cubiod (A₁) = 2(l₁b₁ + b₁h₁ + h₁l₁) = 2( 7 + 2 + 14 ) = 46 feet²

The length of smaller cuboid ( l₂) = 1 ft

The breadth of smaller cuboid (b₂) = 1 ft

height of smaller cuboid (h₂) = 3 ft

Surface area of smaller cubiod (A₂)= 2(l₂b₂+ b₂h₂+ h₂l₂) = 2( 1 + 3 +3 ) = 14 ft²

Total surface area of siver stand (A) = A₁+A₂

A = 14 + 46 = 60 ft²

Now , we have, one can of paint covered the surface area of stand = 25 ft²

Number of can required to paint whole silver stand = 60 /25 = 4 paint can

the cost of one paint can = $6.79

cost of 4 paint can = $( 4×6.79) = $ 27.16

but the set cost to paint the whole silver stand by Marco and Elaine is $15 (given) .

To paint the whole silver stand, set cost of paint is not enough .

Hence, the surface area of silver stand is 60 ft² and the set cost of paint is not enough .

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Complete question:

Marco and Elaine are building a stand like the one shown to display trophies. 1 ft 3 ft 3 ft 3 ft 2 ft 1 ft 7 ft a. What is the surface area of the stand? b. Marco and Elaine want to paint the entire stand silver. A can of paint covers 25 square feet and costs $6.79. They set aside $15 for paint. Is that enough? Explain

For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as

du=2*10^6

Generally, the equation for the change in potential energy is mathematically given as

dV=qdu

Therefore

10=5*10^{-6}*du

du=2*10^6

In conclusion, the electric potential difference

du=2*10^6

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Answer:

The nile river is 6690 kilometers long.This is 394 kilometers longer than the Amazon River.How long is the Amazon River?

6690-394=6296 kilometers

Step-by-step explanation:

Answer:

The Amazon river is 6296 kilometers long.

In a hyperbolic plane, a Lambert quadrilateral ABCD with right angles at A, B, and C. This result tells us about the properties of hyperbolic geometry.

In hyperbolic geometry, the sum of angles in a triangle is less than 180 degrees, which means that a right angle is acute. Therefore, in a Lambert quadrilateral ABCD, angle D is acute. Additionally, in hyperbolic geometry, parallel lines diverge from each other, which means that the sides adjacent to D in a Lambert quadrilateral are greater than their respective opposite sides. This property holds true for all sides adjacent to an acute angle in a Lambert quadrilateral.

Thus a  Lambert quadrilateral ABCD in a hyperbolic plane with right angles at A, B, and C implies that angle D is acute and the sides adjacent to D are greater than their respective opposite sides, highlighting the properties of hyperbolic geometry and the absence of rectangles in the hyperbolic plane.

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a) Pump A and Pump B break even at 7,751 working hours per year. b) The breakeven chart illustrates the point of equal costs for Pump A and Pump B at 7,751 working hours.


a) To determine the breakeven point, we need to calculate the equivalent annual cost for each pump. Pump A has an initial cost of $1800 and an overhaul cost of $500 every 2000 hours, while Pump B has an initial cost of $3800 and an overhaul cost of $800 every 5000 hours. Considering an interest rate of 10%, the equivalent annual costs are calculated, and it is found that the two alternatives break even at 7,751 working hours per year.
b) The breakeven chart plots the working hours on the x-axis and the total cost on the y-axis for Pump A and Pump B. The chart shows the point at which the costs intersect, indicating the breakeven point at 7,751 working hours.
c) Given the operating conditions of 10 hours/day and 250 working days per year, Pump A is more economical over a 4-year period. By comparing the total costs for each pump, taking into account the initial cost, overhaul cost, and operating cost, Pump A proves to be the more cost-effective option within the specified comparison period.

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Answer:

Volume of the given pyramid = 1122.37 cubic feet

Step-by-step explanation:

Volume of the regular hexagonal pyramid = \(\frac{1}{3}(\text{Area of the base})(\text{Base})\)

Measure of internal angle of a polygon = \(\frac{(n-2)\times 180}{n}\)

Here, n = number of sides of the polygon

For a hexagon, n = 6

Measure of interior ∠C = \(\frac{(6-2)\times 180}{6}\)

                                       = 120°

Measure of ∠BCD = \(\frac{120}{2}\)

                              = 60°

By applying tangent rule in ΔCED,

tan(∠ECD) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

tan(60°) = \(\frac{DE}{CE}\)

\(\sqrt{3}=\frac{DE}{6}\)

DE = \(6\sqrt{3}\) feet

And cos(60°) = \(\frac{EC}{CD}\)

\(\frac{1}{2}=\frac{6}{CD}\)

CD = 12 feet

Area of ΔBCD = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                        =  \(\frac{1}{2}(6\sqrt{3})(12)\)

                        = \(36\sqrt{3}\) feet

Area of hexagonal Base of the pyramid = \(6(36\sqrt{3})\)

                                                                  = 216√3 square feet

Since, lateral height of the pyramid (AC) = 15 feet

By applying Pythagoras theorem in ΔADC,

AC² = AD² + CD²

(15)² = AD² + (12)²

AD = \(\sqrt{225-144}\)

AD = 9 feet

Volume of the given pyramid = \(\frac{1}{3}(216\sqrt{3})(9)\)

                                                 = 648√3 cubic feet

                                                 = 1122.37 cubic feet

Answer:

The slope of the line perpendicular is -3/2.

Step-by-step explanation:

y-2/3x=-4

y = 2/3x - 4

The slope of the line perpendicular is -3/2.

The investment's expected return is 5.95%.

The expected return of an investment is calculated by multiplying the probabilities of each possible return by their respective returns and summing them up. In this case, Gautney Enterprises has provided the probabilities and returns for the investment. By applying the formula, we find that the expected return is 5.95%.

To calculate the standard deviation, we need to determine the variance first. The variance is computed by taking the difference between each possible return and the expected return, squaring those differences, multiplying them by their respective probabilities, and summing them up. Once we have the variance, the standard deviation is simply the square root of the variance. The standard deviation measures the degree of risk associated with an investment.

In this scenario, the expected return of the investment is 5.95%, but we need to consider the standard deviation as well to assess the risk. If the standard deviation is high, it indicates a greater level of uncertainty and potential volatility in returns. A low standard deviation implies a more stable investment.

Without the specific values for each return and their respective probabilities, we cannot calculate the exact standard deviation. However, Gautney Enterprises should compare the calculated expected return and the associated standard deviation to their risk tolerance and investment objectives. If the expected return meets their desired level of return and the standard deviation aligns with their risk appetite, they may consider investing in this security.

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The fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.

By selecting a curve that is perpendicular to the wavefronts of the actual light and points in the direction of energy flow, one can create an idealized geometrical model of light or other electromagnetic radiation known as a ray in the field of optics.

By segmenting the actual light field into discrete rays that can be computationally propagated across the system using ray tracing techniques, rays are used to mimic the propagation of light through an optical system.

As a result, even extremely complicated optical systems can be mathematically or computationally investigated.

For as long as light waves travel through and around objects whose dimensions are significantly larger than the light's wavelength, approximate solutions to Maxwell's equations are appropriate for use in ray tracing.

So, in the given situation it is nowhere given that both rays are equal, and hence the wrong statement will be AB = AC.

Therefore, the fact that both rays are equal in the case at hand is not given, hence the incorrect statement will be (A) AB = AC.

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Answer:56.57in

Step-by-step explanation:

The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

4 + 3p ≥ 40

Step-by-step explanation:

4 points in the first round plus 3p (identical scores) has to be at least 40 points or higher to move on.

ANSWER :

tan θ = 1/d

and

2.6

EXPLANATION :

Using tangent function :

From the problem, the side opposite to the angle is "1", and the adjacent side is "d"

That will be :

The answer is D.

If the angle is 20.75 degrees, the value of d will be :

The answer is 2.6

Answer: Well the 9 answer is 900,000 and 3 answer is 300,000. The 9 answer is 600,000 greater than the 3 answer

Step-by-step explanation:

a) Shannon can cover 170 ft² of the living room floor with the circular rugs.

b) 18 ft² of the living room floor will be left uncovered by the circular rugs.

a)

The area of the living room:

Area = length × width

Area = 12 ft × 18 ft

Area = 216 ft²

The area of each circular rug:

Radius = diameter / 2

Radius = 6 ft / 2

Radius = 3 ft

Area of each circular rug = π × radius²

= 3.14×(3 ft)²

= 28.26 ft²

To find the number of circular rugs needed to cover the living room floor, we divide the area of the living room by the area of each circular rug:

Number of circular rugs = Area of living room / Area of each circular rug

= 216 ft² / 28.26 ft²

= 7.64

So Shannon can cover the floor with a maximum of 7 circular rugs.

The total floor space covered by the circular rugs = Number of circular rugs × Area of each circular rug

= 7 × 28.26 ft²

= 170 ft²

b)

To find the amount of living room floor space that will be left uncovered by the circular rugs.

we subtract the total floor space covered by the circular rugs from the area of the living room.

Area left uncovered = Area of living room - Total floor space covered

Area left uncovered = 216 ft² - 197.82 ft²

Area left uncovered = 18.18 ft²

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The average rate of change of the substance is given as -2.4

When the value of t is ten years, the radioactive substance in grams is given as 6

When t is 0 on the graph, the gram is given as 3o grams

The rate of change would be

6 - 30 / 10 - 0

= -24 / 10

= - 2.4

The average rate of change is not a good measure. This is because what we have here is an exponential decay

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The equation to determine p, which is the total number of player at the basketball game, is 12 = p x 3 / 4 .

The number of players at the basketball game is 16 players .

The equation to find the number of players is;

Players who chose water = total players x proportion of players who chose water

12 = p x 3 / 4

This means that solving for p gives :

12 = p x 3 / 4

12 ÷ 3 / 4 = p

p = 12 ÷  3 / 4

p = 12 / 0.75

p = 16 players

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