if gallup wishes to use a 95% confidence interval, compute the minimum number of american adults that they need to survey to ensure that the error bound, under no circumstances, is more than 0.01 before conducting the experiment?

Kennedy needs purchase at least 42 sets of spoons.

The minimum set of spoons needed in the restaurant = 512 spoons.

Available spoons = 264.

Each set on the sale has 6 spoons.

Let the minimum number of spoon set required be 'x'.

Then,

6x + 264 ≥ 512

Solving the in equality.

6x ≥ 512 - 264

6x ≥ 248

x ≥ 248/6

x ≥ 41.33

Thus, Kennedy needs purchase at least 42 sets of spoons.

To know more about the inequality of numbers, here

https://brainly.com/question/25275758

#SPJ4

The number of soda bottles the machine can make in each minute is 960 bottles

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the number of soda bottles the machine can make in 1 minute be = y

Now , the equation is

Let the first point in the graph be A ( x₁ , y₁ )

The value of A ( x₁ , y₁ ) = A ( 3 , 48 )

Let the second point in the graph be B ( x₂ , y₂ )

The value of B ( x₂ , y₂ ) = A ( 7 , 112 )

Now , the slope of the line joining the points can be found out from the equation of slope

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

So , the slope of the point is m = steep of the line or inclination

Slope m = y / x

Substituting the values for x and y , we get

Slope m = 48 / 3

Slope m = 16

Therefore , the equation of line will be y = mx + c

y = 16x

Now , there are 60 seconds in a minute

So , 1 minute = 60 seconds

Substituting the value of x = 60 in the equation , we get

y = 16x

y = 16 x 60

y = 960 bottles

Therefore , the value of y = 960

Hence , The number of soda bottles the machine can make in each minute is 960 bottles

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.

What is linear regression?

According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.

For linear regression

Y=a + bx + error

If we neglect error

then Y=a + bx.

If x increases by 1

then Y = a +b(x+1) which implies

Y=a + bx + b.

So Y increases by its slope.

Hence their is an increase in the slope in y.

To learn more about linear regression click on the link below

brainly.com/question/2120341

#SPJ4

Answer:Cherry is $4 and Pumpkin is $10

Step-by-step explanation:

Answer:

Cherry Pie: $5 each

Pumpkin Pie: $2 each

Hope this helps! :)

Step-by-step explanation:

Jill- $42, 1 Pumpkin, 8 Cherry

8*5=40

Cherry: $5 each

42-40=2

Pumpkin: $2 each

Norachai- $32, 1 Pumpkin, 6 Cherry

6*5=30

Cherry: $5 each

32-30=2

Pumpkin: $2 each

Answer:

Step-by-step explanation:

Percentages are a powerful way to compare samples with different numbers of observations. By standardising measures using a scale of 0 to 100, samples can be compared quickly and easily. Any graph of the data, however, must include the full range of 0 to 100 to ensure that false impressions are not created.

Given that each individual has a  [tex]\frac{1}{n}[/tex] chance of receiving their own name, we may indicate whether or not person I received their own name by using a sequence of n identically distributed Bernoulli random variables with

[tex]P=\frac{1}{n}[/tex] .

The total number of people who received their own name is the sum of these Bernoullis. The linearity of expectation causes the expected value of the sum to equal the sum of their respective expected values.

Since each summand has expected value  [tex]\frac{1}{n}[/tex]  and there are n of them, the expected value is one.

To know more about Bernoulli's Principle visit,

https://brainly.com/question/28061442

#SPJ4

If he deleted 10 songs to every 3 he kept, then he originally had 26 songs

The equation 8x - 4y = -4 have y as the subject to be equal to 2x + 1 expresses in terms of x.

To solve for y in the equation 8x - 4y = -4, we must make y the subject and it should be positive as follows;

8x - 4y = -4

add 4y to both sides

8x - 4y + 4y= -4 + 4y

8x = - 4 + 4y

also to make y the subject;

- 4 + 4y = 8x

add 4 to both sides

- 4 + 4 + 4y = 8x + 4

4y = 8x + 4

factorize the right hand side

4y = 4(2x + 1)

divide through by the coefficient of y

4y/4 = [4(2x + 1)]/4

y = 2x + 1

Hence, the equation 8x - 4y = -4 has y = 2x + 1

Learn more about equations here:https://brainly.com/question/657646

#SPJ1

Answer:4536 numbers.

Step-by-step explanation:

Since 1 st digit cannot be zero the first digit can be anything from 1–9 ( total 9)

The second digit ( any 10- 1 above)

The third digit ( any 10–2 above)

The last digit ( any 10–3 above)

Total 9x9x8x7 =

4536

:)

EVENT 1 has a probability value of 0.5.

EVENT 2 has a probability value of 0.5.

There is an equal chance of getting a HEAD or a TAIL when flipping a fair coin.

A coin has two faces: Head and Tail, and the total probability is always 1

1/2 = 0.5 is the likelihood of getting a head.

1/2 = 0.5 is the probability of receiving a tail.

When the coin is tossed for the first time, E1 is the event when TAIL comes up.

When the coin is tossed a second time, E2 represents the circumstance in which HEAD appears.

EVENT 1 has a probability value of 0.5.

EVENT 2 has a probability value of 0.5.

To learn more about  probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

I Think its b

Step-by-step explanation:

(show that the ratio UV_XY and WV_ZY are equivalent.)

*3rd thing*

if it is wrong (which i dont think it is) then show me a study guide or some way to learn more about it, hope this helps

Answer: 8.125 inches

Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125.

Hope that helped!

The amount of the tip that Jack gave to the waiter will be $9.42.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Jack took Diane out to supper to praise her birthday. The all out bill for the supper was $62.80. Jack needs to tip the server precisely 15%.

The amount of the tip will be given as,

⇒ 15% of $62.8

⇒ 0.15 x $62.8

⇒ $9.42

The amount of the tip that Jack gave to the waiter will be $9.42.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

The values of c in the given equation, 19 = | 5c - 4 |, are c = -3 and c = 4 3/5

From the question, we are to solve the given equation for all values of c

The given equation is

19 = | 5c - 4 |

From this equation, we can write that

19 = (5c - 4) and 19 = -(5c - 4)

Solving the first equation

19 = (5c - 4)

19 = 5c - 4

Add 4 to both sides of the equation

19 + 4 = 5c - 4 + 4

23 = 5c

Divide both sides by 5

23/5 = 5c/5

4 3/5 = c

Therefore,

c = 4 3/5

Solving the second equation

19 = -(5c - 4)

19 = -5c + 4

Subtract 4 from both sides of the equation

19 - 4 = -5c + 4 - 4

15 = -5c

Divide both sides by -5

15/-5 = -5c/-5

-3 = c

Therefore,

c = -3

Hence, the values of c are -3 and 4 3/5

Learn more on Solving an equation here: https://brainly.com/question/14623829

#SPJ1

Answer: $1,751.4

Step-by-step explanation:

33600 = 100%

(1400*100)/33600 =

140000:33600 = 4.17

42,000 * 4.17% = 1,751.4

Answer: Both the National Institute of Standards and Technology (NIST)

Step-by-step explanation:

Electrical potential  at any point along the x-axis is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a

Given info,

A square in the x-y plane in free space has a point charge of q at comer (a/2,a/2) and the comer (a/2,-a/2) and a point charge of -q at (-a/2, a/2) and (-a/2, -a/2).

Let,

V = Q/4πε0R1 + Q/4πε0R2 + −Q/4πε0R3 + −Q/4πε0R4

  = Q/2πε0(1/R1 − 1/R3)

With,

R1 = √[(x - a/2)² + (a/2)²]

R3 = √[(x + a/2)² + (a/2)²]

At x = a/2,

R1 = a/2

R3 = a√5/2

Vx = 0.55Q/πε0a.

Therefore, Electrical potential is V = Q/2πε0(1/R1 − 1/R3) and V at x is Vx = 0.55Q/πε0a

To learn more about Electrical potential click here:

brainly.com/question/12645463

#SPJ4

The area of the triangle is 3 units^2. Since the area is equal to

hside * side/ 2.

Define area.

The measure of a region's size on a plane or curved surface is called area. While surface area refers to the area of an open surface or the boundary of a three-dimensional object, the area of a plane region or plane area refers to the area of a form or planar lamina.

Area is defined as the total amount of space occupied by a flat (2-D) surface or the shape of an object. On a sheet of paper, draw a square with a pencil. It is a two-dimensional figure. The area of a shape on paper is the area it occupies.

Solution Explained:
Given,

Length of Hypotenuse = 3units
One side = 2units

Area = (Length of Hypotenuse X Length one side) / 2
        = (3 X 2) / 2
        = 3units^2 (after calculation)

To learn more about the area, use the link given
https://brainly.com/question/25292087
#SPJ4

Because xanthan gum solutions are highly pseudoplastic (shear thinning) but not thixotropic, the initial viscosity is instantly rebuilt after high shearing.

A hypothesis is a theory put up to explain a phenomena. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are often based on prior findings that cannot be adequately explained by the current body of knowledge. A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis).

To know more about hypothesis,

https://brainly.com/question/29519577

#SPJ4

Answer: The domain is : (-∞,5)∪(5,∞)

there is no x intercepts

y-intercept= (0,-29/5)

asymptotes= x=5, no horizantal, oblique y=x-5

there is no holes

range= (-∞,-4]∪[4,∞)

Step-by-step explanation:

The space between the ceiling of the one floor and the floor of the level above it will be;

⇒ 9 6/8 inches

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The distance from the floor of one level of a building to the floor of the level above it is 9 feet 3/8 inches.

And, The distance from the floor to the ceiling is 8 feet 2 5/8 inches.

Now,

Since, The distance from the floor of one level of a building to the floor of the level above it is 9 feet 3/8 inches.

And, The distance from the floor to the ceiling is 8 feet 2 5/8 inches.

Hence, The space between the ceiling of the one floor and the floor of the level above it will be;

⇒ 9 feet 3/8 inches - 8 feet 2 5/8 inches

⇒ (9 × 12 + 3/8) inches - ( 8 × 12 + 21/8) inches

⇒ (108 + 3/8) - (96 + 21/8) inches

⇒ 867/8 - 789/8

⇒ 78/8

⇒ 9 6/8 inches

Thus, The space between the ceiling of the one floor and the floor of the level above it will be;

⇒ 9 6/8 inches

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ1

Cost to order as per the economic order quantity model is equal to 10units.

As given in the question,

Demand of units per month = 20 units

Ordering cost  =  $10 unit

Carrying cost = 40% of 10

                       = (40 /100) × 10

                       = $4

Economic order quantity model ( EOQ)

= √[ 2 × ( Demand rate ) × ordering cost ]/ carrying cost

Substitute the value we get,

= √ ( 2 × 20 × 10 )/ 4

= √400 / 4

= √100

= 10 units.

Therefore , as per the economic order quantity (EOQ) model cost to order is for 10 units.

Learn more about economic order quantity here

brainly.com/question/16986815

#SPJ4

The confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17

On Subtracting 1 from your sample size, we get

150 – 1 = 149.

On Subtracting confidence level from 1, and then divide by two.

(1 – .95) / 2 = 0.025

Now, df = 149 and α = 0.025

from the table at df = 149 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(150) = 2.28

Now, 2.262 × 2.28 = 5.17

So, the confidence interval be,

(150 - 5.17 , 150 + 5.17) = (144.83 , 155.17)

Hence, the confidence interval for the given ANOVA test to calculate the average typing speed be, (144.83 , 155.17) and the margin of error of the poll be, ±5.17

Learn more about Statistics here https://brainly.com/question/27165606

#SPJ4

The probability is 0.6962  for the given standard deviation.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

X - Binomial(n = 130, p = 0.5)

Binomial can be approximated to normal with: μ = np = 130*0.5 = 65

σ = √np(1 − p) - = √130* (0.5)(1 − 0.5)

σ = 5.7

P(55 ≤ X ≤ 69 )

Since we are approximating a discrete binomial distribution by continuous normal distribution, values between 54.5 and 68.5 both approximate to 55. Thus, "between 55 and 69" corresponds to continuous normal distribution with P(54.5 < X 68.5) after continuity correction.

Normal Distribution, x₁ = 54.5, x2 = 68.5, µ = 65, σ = 5.7

We convert this to standard normal using z =

z₁ = 54.5-65/ 5.7 ≈ - 1.84

z₂ = 68.5-65/ 5.7  ≈ 0.614

P(54.5 < X < 68.5) = P(- 1.84 < Z < 0.614)

= P(Z < 0.614) − P(Z <- 1.84)

= 0.7291 - 0.0329   (from z-table)

= 0.6962

Hence the probability is 0.6962

To know more about standard deviation , visit:

brainly.com/question/475676

#SPJ4

The expression (5/3)x + (5/9)y is equivalent to the given expression. which is the correct answer would be an option (A).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question as:

(2/3)x - (4/9)y + x + y

Rearrange the terms in the above expression,

(2/3)x + x - (4/9)y + y

Combine the likewise terms,

(5/3)x + (5/9)y

Therefore, the expression (5/3)x + (5/9)y is equivalent to the given expression.

Learn more about the algebraic expression here :

brainly.com/question/21751419

#SPJ1

Answer:

$28/hour

Step-by-step explanation:

224 ÷ 8 = 28

Answer:

give the guy under me a brainlist lol

Step-by-step explanation:

The sum of the given two positive integers is 9.

According to the question,

We have the following information:

The product of two positive integers is 18. the positive difference of these two integers is 3.

Now, let's take the first positive integer (larger one) to be x and the second positive integer to be y.

xy = 18 ...(1)

x-y = 3

x = 3+y

Putting this value in equation 1:

(3+y)y = 18

[tex]y^{2} +3y-18 = 0[/tex]

[tex]y^{2}[/tex]+6y-3y-18 = 0

y(y+6)-3(y+6) = 0

(y+6) (y-3) = 0

y-3 = 0 and y+6 = 0

y = 3 or y = -6

Now, the number is positive so it will be 3.

Putting this value in equation 1:

xy = 18

3x = 18

Dividing by 3 on both sides of the equation:

x= 18/3

x = 6

Sum of integers = 3+6

Sum of integers = 9

Hence, the sum of the given two positive integers is 9.

To know more about sum here

https://brainly.com/question/10417065

#SPJ4