1000 randomly selected Americans were asked if they believed the minimum wage should be raised. 600 said “yes.” What is the 99% confidence interval for the proportion of Americans who believe that the minimum wage should be raised?

Step-by-step explanation:

100 ÷ 10⁷ = 10² ÷ 10⁷ = \(10^{-5}\) = 1/100.000

The intersection of vertical lines A and B is  3 and 4.

We are going to apply the sets theory here. In sets theory, the intersection of two elements means the values those elements have in common.

So given: A = {1, 2, 3, 4} and B = {3, 4, 5}

The intersection of A = {1, 2, 3, 4} and B = {3, 4, 5} is {3,4} since they both have 3 and 4 common.

Therefore, vertical lines A and B have intersection of 3 and 4.

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Answer: 3 +\- 2i

Step-by-step explanation:

Just took the assignment

Answer:

c. 3 +\- 2i

Step-by-step explanation:

edge 2020

Answer:

a. Amplitude: 19.65446

b. Vertical Shift: 58.00713

c. Period: 2/0.22797 = 27.56146

d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713

e. Model's Temperature at 10 A.M.: f(-7) = 61.91

   This value is 9.91 degrees higher than the actual value.

Step-by-step explanation:

With 1 am being timed as t = 1, we fitted the temperature data collected at different points during the day in Portland, Oregon using sine regression. After receiving the sine function, we respond to the many questions connected to the sine function's properties.

A smooth, repeating oscillation characterizes a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that may be described by sinusoidal functions.

Given, The hourly temperature at Portland, Oregon, on a particular day is recorded.

Using sine regression on the given data with t = 1 being the hour 1 am etc, we get the following sine regression formula using the TI-83 Graphing Calculator where T is the temperature:

T = a sin(bt + c) + d

Where a = 19.65, b = 0.28, c = -2.93, d = 58.01

From the sine regression function above:

a. The amplitude of the sinusoidal function is a = 19.65.

b. The vertical shift is d = 58.01.

c. The period is 2*pi /b = 2*pi/ 0.28 = 22.44

d. At 5 PM, the time value is t = 17. Hence the temperature distribution with 5 PM being t = 0 will be

t = asin[b(t - 17) + c] +d.

e. From the table, at 10 AM, the actual value of the temperature is 52 degrees.

Using the model in part a., at 10 AM, with t = 10, the temperature will be

T = a sin(10b + c) + d

T = 55.46 degrees

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Complete question:

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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Answer:

180°

Step-by-step explanation:

So supplementary agles are angles that add up to 180 degrees thus the measure of each angle is 180 degrees.

The 4x+ 9 and 8x+3 are meant to confuse you. But if you need help figuring out what x is i can help :)

HOPE IT HELPED.

The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:

Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.

By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).

Using the proportionality of similar triangles, we can write the following ratio:

\($\frac{AB}{BC} = \frac{AD}{AB}$\)

Cross-multiplying, we get:

\($AB^2 = BC \cdot AD$\)

Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:

\($\frac{AC}{BC} = \frac{AD}{AC}$\)

Cross-multiplying, we have:

\($AC^2 = BC \cdot AD$\)

Now, we can substitute the derived expressions into the original equation:

\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)

It was made possible by cross-product property.

Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:

By the cross product property, \(AC^2 = BC \cdot AD\).

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Answer: 196m squared

Step-by-step explanation: A square has equal sides, so if one side were to be equal to 14m, the other would too. 14 x 14 = 196.

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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Answer:

B

Step-by-step explanation:

Took the test edge2021

The function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

A function which is at x = 2 mapped to 32

The above statement means that at x = 2

The value of the function will be 32

The given functions:

f(x) = -3x² - 4

Plug x = 2

f(2) = -3(2)² - 4

f(2) = -16

g(x) = 4(x + 3)² - 68

Plug x =2

g(2) = 4(2 + 3)² - 68

g(2) = 100 - 68

g(2) = 32

Thus, the function g(x) = 4(x + 3)² - 68 is the function which is mapped to 32 at x = 2 option (B) g(x) = 4(x + 3)² - 68 is correct.

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Answer:

No I'm doing this for a quest

Step-by-step explanation:

Hope you find the answer though

Answer:

3.714

Step-by-step explanation:

because you divide

26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, it can write it as 26 ÷ 7 = 3 R 5.

The division is given as:

26 ÷ 7

To determine this, we start by dividing the first digit of 26, which is 2, by 7. Since 2 is less than 7, we carry down the next digit, which is 6, and consider it as part of the dividend.

Now, we have 26 as our new dividend.

We divide 7 into 26, and it goes 3 times (7 × 3 = 21). We subtract 21 from 26, which leaves us with a remainder of 5.

Therefore, 26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, we can write it as 26 ÷ 7 = 3 R 5.

The quotient 3 represents the whole number of times 7 can be divided into 26, and the remainder 5 indicates the extra amount that is left over.

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Since he worked for 5 hours on a $14/hour hourly waged, we have the following numerator

In those 5 hours, he mailed 300 postcards which means that he earns for each postcard mailed at

Rounding to 2 decimal places, he earns around $0.23 per postcard.

Answer:

B. All real numbers

Step-by-step explanation:

I calculated it logically

Answer:

I believe it is all real numbers

The rotation of the image given 180° clockwise around the point (-2, 1) gives the image in the second option.

Rotation is a kind of geometric transformation where a figure or point is rotated by a certain degrees about a given point.

The coordinates of the given image are :

(-1, 1), (-2, 1), (-1, 4) and (-2, 4).

Point of rotation is (-2, 1).

The points are not rotated around the origin.

To make it seem like around the origin, subtract the point of rotation from the points.

So the new points are :

(1, 0), (0, 0), (1, 3) and (0, 3)

Now rotate the image with the new coordinates around the origin 180° clockwise.

Rotation is -180°, which is equivalent to rotation of 180° counterclockwise.

Coordinates (x, y) when rotated 180° clockwise becomes (-x, -y).

New coordinates after rotation about origin are :

(-1, 0), (0, 0), (-1, -3) and (0, -3).

Now add the point of rotation (-2, 1) again.

Points are :

(-3, 1), (-2, 1), (-3, -2) and (-2, -2).

Image with these points is the second option.

Hence the required image is the second option.

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Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

Tropic Fresh Fruit Punch

Step-by-step explanation:

You have to find how many cups of concentrate both brands use per cup of water. To do that, you divide the cups of concentrate by the cups of water.

Tropic Fresh Fruit Punch - 22/10=2.2

Merry Berry Fruit Punch - 13/6=2.17 (rounded to the nearest hundredth)

Since 2.2 is bigger than 2.17, Tropic Fresh Fruit Punch has the more fruitier concentration of punch.

The standard forms of the quadratic equations are listed below:

Case 6: z² - 4 · z - 5

Case 8: 2 · x² - 18

Case 10: 2 · l² - 3 · l - 20

Case 12: 5 · q² + 24 · q - 5

Case 14: 6 · m² - 6

Case 16: 10 · a² - 19 · a + 6

Case 18: 2 · x² - 3 · x · y + y²

The standard forms of the cubic equations are listed below:

Case 20: t³ + 3 · t² + 6 · t + 4

Case 22: m³ + 6 · m² + 14 · m + 15

In this problem we find eight quadratic equations in factor form, whose standard form must be determined. Each form is introduced below:

Factor form

a · (x - r₁) · (x - r₂)

Standard form

a · x² + b · x + c

Where:

The transformation can be done by algebra properties:

Case 6

(z - 5) · (z + 1)

z² - 4 · z - 5

Case 8

(2 · x - 6) · (x + 3)

2 · (x - 3) · (x + 3)

2 · (x² - 9)

2 · x² - 18

Case 10

(2 · l + 5) · (l - 4)

2 · l · (l - 4) + 5 · (l - 4)

2 · l² - 8 · l + 5 · l - 20

2 · l² - 3 · l - 20

Case 12

(q + 5) · (5 · q - 1)

q · (5 · q - 1) + 5 · (5 · q - 1)

5 · q² - q + 25 · q - 5

5 · q² + 24 · q - 5

Case 14

(2 · m + 2) · (3 · m - 3)

2 · (m + 1) · 3 · (m - 1)

6 · (m + 1) · (m - 1)

6 · (m² - 1)

6 · m² - 6

Case 16

(5 · a - 2) · (2 · a - 3)

(5 · a - 2) · 2 · a - (5 · a - 2) · 3

10 · a² - 4 · a - 15 · a + 6

10 · a² - 19 · a + 6

Case 18

(x - y) · (2 · x - y)

2 · x · (x - y) - y · (x - y)

2 · x² - 2 · x · y - x · y + y²

2 · x² - 3 · x · y + y²

The following two cases belong to cubic equations:

Case 20

(t + 1) · (t² + 2 · t + 4)  

t² · (t + 1) + 2 · t · (t + 1) + 4 · (t + 1)

t³ + t² + 2 · t² + 2 · t + 4 · t + 4

t³ + 3 · t² + 6 · t + 4

Case 22

(m + 3) · (m² + 3 · m + 5)

(m + 3) · m² + 3 · (m + 3) · m + 5 · (m + 3)

m³ + 3 · m² + 3 · m² + 9 · m + 5 · m + 15

m³ + 6 · m² + 14 · m + 15

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Answer:

2

Step-by-step explanation:

Change the numbers into an improper fraction. 6/3, then simplify it.

6/3 = 2

Answer:

The mean lifetime of a bulb is 130.82

The table is given as:

Lifetime           Frequency

25 < t ≤ 50       76

50 < t ≤ 100      33

100 < t≤ 150      67

150 < t ≤ 200    28

200 < t ≤ 250    0

250 < t ≤ 300    82

300 < t≤ 350     36

Next, we calculate the mean of the intervals by:

\(x = \frac{x_1 + x_2}{2}\)

For interval 25 < t ≤ 50, we have:

\(t = \frac{25 + 50}{2} = 37.5\)

For interval 50 < t ≤ 100, we have:

\(t = \frac{50 + 100}{2} = 75\)

Using the above formula, we have the new table to be:

Lifetime           Frequency

37.5                      76

75                      33

125                      67

175                      28

225                      0

275                      82

325                      36

The mean is then calculated as:

\(\bar x = \frac{\sum fx}{\sum f}\)

So, we have:

\(\bar x = \frac{37.5 * 76 + 75* 33 + 125 * 67 + 175 *28 + 225*0 + 275* 82 + 325 *3}{76 + 33 + 67 + 28 + 0 + 82 + 36}\)

Simplify

\(\bar x = \frac{42125}{322}\)

Divide

\(\bar x = 130.82\)

Hence, the mean lifetime of a bulb is 130.82

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Answer:

5 shipments had at least 10 broken tiles but less than 20 broken tiles.

Answer:

I think it's 256

Step-by-step explanation

Answer:

256

Step-by-step explanation:

why well

it goes like this

write the 2 number as shown

16 gallons            cups

what is more gallons or cups

its gallons so

large to small

lagre to small is mutipling and small to large is dividing so u need to mutiply the amout of cups are in a gallon wichis 16 so 16 times 16 is 256 so there u go

Answer:

54

Step-by-step explanation:

20% of 15 is 3 so Quentin is 18 years old

If Quentin is one thrid his Aunt's age that means his aunt is three times older.

18 * 3 = 54

So his Aunt is 54 years old

The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.

An equation is a formula that expresses the equality of variables.

let the age of the aunt is x years.

According to the question the age of Quentin is x/3 years.

The age of Quentin's  sister is x/3*100/120

=5x/18

We have been given the age of Quentin's sister is 15 years.

So, 5x/18=15

=x=54 years

Hence the age of aunt is 54 years old.

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The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.

The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.

The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.

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Answer:

$4.50

Step-by-step explanation:

6 / 2 = 3

$1.50 x 3 = $4.50

Answer:

for every 1mm is equal to 20 miles (it is a scale)

Step-by-step explanation:

Answer:

\(\mathbf{E(p) = 1 - 3p}\)

the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Step-by-step explanation:

Given that:

the number of units demanded \(q = pe^{-3p}\)

Taking differentiations ; we have,

\(\dfrac{dq}{dp}=e^{-3p}+p(-3e^{-3p})\)

\(\dfrac{dq}{dp}=(1-3)e^{-3p}\)

Now; the price elasticity of demand using the differentials definition of elasticity  is:

\(E(p) = \dfrac{dq}{dp}*\dfrac{p}{q}\)

\(E(p) =[(1-3)e^{-3p}]*[\dfrac{p}{pe^{-3p}}]\)

\(\mathbf{E(p) = 1 - 3p}\)

(b)   Use your answer from part (a) to estimate the percent change in q when the price is raised from $2.00 to $2.10.

The estimate of the percentage change in price is :

\(=\dfrac{2.10-2.00}{2.00}*100 \%\)

= 5%

From (a)

\(\mathbf{E(p) = 1 - 3p}\)

Now at p = $2.00

E(2) = 1 - 3 (2.00)

E(2) = 1 - 6

E(2) = -5

The percentage change in q = -5 × 5%

The percentage change in q = -25%

Thus; we can conclude that the estimate the percent change in q when the price is raised from $2.00 to $2.10 decreases by 25%

Answer:

385 miles

Step-by-step explanation:

Let's start by finding the unit rate (how far she can drive in 1 hour):

\(\frac{165mi}{3hr}\)

Divide both the numerator and the denominator by 3 hours (Please note that this is essentially dividing the fraction by 1, so we are only simplifying the fraction, not changing it):

\(55mi/hr\)

Now, using a unit converter, we can find out far she can drive in 7 hours:

\(7hr(\frac{55mi}{1hr})=7*55mi=385mi\)

She can drive 385 miles in 7 hours

Answer:

1/4 of a space after 1.

Hope that helps!

Step-by-step explanation:

Since he has two hours to get ready = 120 minutes

Assuming it takes 20 minutes for Pablo to get ready, and each episode is 25 minutes long, we can create the following expression:

Let x be the number of episodes he can watch

20+25x=120

25x=120-20

25x=100

x=100/25

x=4

Pablo can watch 4 episodes before he has to begin getting ready.