As the sample size increases, the margin of error _____. a. decreases b. increases c. stays the same d. becomes negative

Answer:

Grandma can make 0.75 batches of cookies with only a half cup of milk.

Step-by-step explanation:

To solve this problem, we can set up a proportion.

\(\frac{2}{3}\) = \(\frac{0.5}{x}\)

We can use cross products to solve.

3(0.5)=1.5

2(x)=1.5

x=0.75

Therefore, Grandma can make 0.75 batches of cookies with only a half cup of milk.

Hope this helps!

Answer

8kg

Explanation

3/4--------15

2/5-------x

cross multiplying

3/4×X = 2/5×15

3X/4 = 30/5

3X/4 = 6

cross multiplying

3X = 4×6

3X = 24

dividing bothsides by 3

3X /3 = 24/3

X = 8

therefore, the answer is 8 kg

B. yes, it's a function

The divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.

To find the divergence and curl of the vector field F(x, y, z) = x²yi - (2²-3x) 5+uy³k, we can use vector calculus operations.

The divergence of a vector field measures the rate of outward flow from an infinitesimally small region surrounding a point. It is calculated using the divergence operator (∇·F), which is the dot product of the gradient (∇) with the vector field F. In this case, the divergence of F can be found as follows:

∇·F = (∂/∂x)(x²yi) + (∂/∂y)(- (2²-3x) 5+uy³k) + (∂/∂z)(0)

      = 2xyi - 15(2²-3x) 4+uy³k

The curl of a vector field measures the rotation or circulation of the field around a point. It is calculated using the curl operator (∇×F), which is the cross product of the gradient (∇) with the vector field F. In this case, the curl of F can be found as follows:

∇×F = (∂/∂x)(0) - (∂/∂y)(x²yi) + (∂/∂z)(- (2²-3x) 5+uy³k)

      = 0 - x²yi - 15u³k

Therefore, the divergence of F is 2xyi - 15(2²-3x) 4+uy³k and the curl of F is -x²yi - 15u³k.

Learn more about divergence

brainly.com/question/33120970

#SPJ11

Where is the graph I need to see the graph for the answer

the area of the equilateral triangle using the formula for the area of a regular polygon: 43.5 units squared

The area of a customary polygon is given as:

\(=\frac{1}{2} ap\)

'a' is the apothem and 'p' is the edge.

The edge of the equilateral triangle is 3×10=30 units.

The apothem is given by:

\(a= \frac{8}{\sqrt[2]{3} }\\ \\a= \frac{10}{\sqrt[2]{3} } \\\\a=2.9\)

Consequently, the area is

1/2 * 2.9 * 30 = 43.5

On the off chance that all the polygon sides and inside points are equivalent, they are known as ordinary polygons. Instances of standard polygons are square, equilateral triangle, and so forth. In standard polygons, not exclusively are the sides consistent however the points are as well. That means they are equiangular.

to know more about the polygon click here:

https://brainly.com/question/26583264

#SPJ4

the complete question is:

Bianca calculated the height of the equilateral triangle with side lengths of 10. tangent (30) = StartFraction 5 Over h EndFraction An equilateral triangle with side lengths of 10 is shown. A bisector is drawn to split the side into 2 equal parts and splits the angle into 2 30 degree segments. Then, she used the formula for area of a triangle to approximate its area, as shown below. A = one-half b h. = one-half (10) (8.7). = 43.5 units squared. Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca's answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43.5 units2. The calculated areas are .

Answer:

2x+8y=10 ie. eqn1

-x+y=-5 ie.eqn2

now, multiply eqn 2 by 2 and solve eqn1 and eqn2 then we get,

2x+8y=10

-2x+2y=-10

___________

10y=0

therefore, y= 0 and put the value of y in eqn1

2x+8y=10

or, 2x+8×0=10

or, 2x=10

x=10÷2=5ans.

hence x=5 and y=0

Answer:

Step-by-step explanation:

To find the mean absolute deviation for a data set, we first need to find the mean (average) of the data set.

Mean = (33 + 38 + 31 + 36 + 37) / 5 = 35

Next, we find the absolute deviation for each data point by subtracting the mean from the value and taking the absolute value:

|33 - 35| = 2

|38 - 35| = 3

|31 - 35| = 4

|36 - 35| = 1

|37 - 35| = 2

Then we find the mean of these absolute deviations:

(2 + 3 + 4 + 1 + 2) / 5 = 12 / 5 = 2.4

Therefore, the mean absolute deviation for the data set is 2.4 minutes.

know more about absolute deviation: brainly.com/question/32035745

#SPJ11

Step-by-step explanation:

1)

SA= 2 (Length x Breadth + breadth x height + Length x height)

SA= 2(2*5+5*6+6*2)=2(10+30+12)=104cm^2

2)

2(3*4+4*5+5*3)= 2(12+20+15)=94cm^2

3)

2(7*9+9*12+12*7)=2(63+108+84)= 510cm^2

4)

SA=

\(A=2πrh+2π {r}^{2}

\(A=2πrh+2π {r}^{2} \)

= 2π 6*5+2π6*6= 188.495+226.194

SA= 414.689 cm^2

5)

2π7*4+2π*4*4=

SA=276.46 cm^2

6)

2π6*4+2π*4*4=

SA= 251.33 cm^2

7)

(3*4)/2=6

(3*4)/2=6

(3*8)=24

4*8=32

8*5=40

SA =6+6+24+32+40=108 cm^2

8)

(6*8)/2=24

(6*8)/2=24

6*12=72

8*12=96

10*12=120

SA= 24+24+72+96+120= 336 cm^2

9)

(5*12)/2=30

(5*12)/2=30

5*8=40

12*8=96

13*8=104

SA= 30+30+40+96+104= 300 cm^2

The five elements to be assessed during sample selection in audit sampling are Sapmlinf Frame, Sample Size, Sampling Method, Sampling Interval, Sampling Risk.

1. Sampling Frame: The sampling frame is the list or source from which the sample will be selected. It is important to ensure that the sampling frame represents the entire population accurately and includes all relevant elements.

2. Sample Size: Determining the appropriate sample size is crucial to ensure the sample is representative of the population and provides sufficient evidence for drawing conclusions. Factors such as desired confidence level, acceptable level of risk, and variability within the population influence the determination of the sample size.

3. Sampling Method: There are various sampling methods available, including random sampling, stratified sampling, and systematic sampling. The chosen sampling method should be appropriate for the objectives of the audit and the characteristics of the population.

4. Sampling Interval: In certain sampling methods, such as systematic sampling, a sampling interval is used to select elements from the population. The sampling interval is determined by dividing the population size by the desired sample size and helps ensure randomization in the selection process.

5. Sampling Risk: Sampling risk refers to the risk that the conclusions drawn from the sample may not be representative of the entire population. It is important to assess and control sampling risk by considering factors such as the desired level of confidence, allowable risk of incorrect conclusions, and the precision required in the audit results.

During the sample selection process, auditors need to carefully consider these elements to ensure that the selected sample accurately represents the population and provides reliable results. By assessing and addressing these elements, auditors can enhance the effectiveness and efficiency of the audit sampling process, allowing for meaningful generalizations about the population.

Learn more about systematic sampling here:

brainly.com/question/31439780

#SPJ11

The most appropriate method of integration that should be used to solve the integral ∫3x eˣ dx is Integration by parts.

The given integral is,

∫3x eˣ dx

∫3x eˣ dx is the given integral.

This can be written as,

∫3x eˣ dx = 3 ∫x eˣ dx

Here there are two functions x and eˣ to be integrated.

One of them is exponential function.

When we want to integrate two functions especially of which one of them is exponential or logarithmic, then the most appropriate method used to find the integral is integration by parts.

Hence the correct option is Integration by parts.

Learn more about Integration here :

https://brainly.com/question/22747210

#SPJ1

Answer:

the answer is 5 feet long

the one after that is 30 seconds

Step-by-step explanation:

The length of the windmill blades in inches will be 168 inches.

Inches and feet both are the units of measurement of length.

Given that:

The blades of the windmill are 14 feet long.

We know that:

1 foot = 12 inches

The length of the windmill blades from feet to inches can be calculated by multiply the length in feet by 12 inches.

The conversion of feet to inches can be calculated below:

Length in inches = 14 feet \(\times\) 12

Length in inches = 168 inches

Therefore, the length of the windmill blades in inches will be 168 inches.

Learn more about length here:

https://brainly.com/question/30625256

#SPJ12

The complete question is :The blades of the windmill are 14 feet long.

Find the length of the blades in inches.

The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

To learn more about correlation coefficient click here, brainly.com/question/29704223

#SPJ11

The ferryman should transport the goat first, then return alone to bring the wolf, leaving the goat on the right bank. Finally, he should transport the cabbage and leave it with the wolf.

In order to solve this puzzle, the ferryman must make a series of careful moves to ensure the safety of the wolf, goat, and cabbage. The first step is to transport the goat to the right bank, leaving it there. The ferryman then returns to the left bank alone.

He takes the wolf across the river, but before leaving it on the right bank, he brings the goat back to the left bank. Now, the goat and cabbage are on the same side, while the wolf remains on the right bank.

The ferryman transports the cabbage to the right bank, leaving it there, and then returns alone to the left bank. Finally, he takes the goat across the river one last time, completing the puzzle. This sequence of moves ensures that the wolf and goat are never left alone together, nor are the goat and cabbage.

for such more questions on  transport

https://brainly.com/question/21287562

#SPJ8

Answer:

x=-2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

Step-by-step explanation:

The derivative of a function y = f(x) at the point a is a measure of the rate of change of the function at that point. It is represented by the symbol f'(a) or df/dx.

The derivative can be thought of as the slope of the tangent line to the curve of the function at the point a. It is calculated using the limit definition of the derivative, which states that the derivative of a function at a point is the limit of the difference quotient as the difference between x and a approaches zero.

In other words, the derivative of a function y = f(x) at the point a is the slope of the line that is tangent to the function at that point, and it is calculated using the following formula:

f'(a) = lim(h -> 0) [(f(a+h) - f(a)) / h]

This formula can be used to calculate the derivative of any function at any point. I hope this helps! Let me know if you have any questions.

Answer:

3 by 2

Step-by-step explanation:

3+2+3+2=10

3*2=6

Hope this Helps!!!

The linear equation is 45x+50

Linear equation is the equation having the degree 1

Given that the charge per computer repair service  is $50

The charge per hour of work is $ 45

We need to show the linear equation that  expresses the total amount of money Charlie earns per computer is y

So , Let the number of hours be x

Therefore, the Charlie working hours charge will be 45x

The total amount of money Charlie earns per computer is y

Therefore the linear equation will be

y = 50+45x  

Where y = Total amount of money

x =  number of hours

Hence the linear equation is y = 45x+50

Learn more about linear equation here

https://brainly.com/question/1884491

#SPJ1

Answer:

The smallest number divisible by the natural numbers 1 to 12 is 1

Answer: -3, 9√, pi, 49√

Step-by-step explanation:

Having the check beside a number, ex: 49√, shows that something squared, in other words multiplied by itself, equals this. In this example it would be 7. For, 7*7=49. For 9√ it would be 3. Pi is 3.14. Listing these out we have:

-3, 3.14, 3, 7. Let's order this...

-3 is the least, then 3, then 3.14 (slightly bigger than 3), lastly, 7.

Answer:

Step-by-step explanation:

Perimeter of square park = 2000 m

4*side = 2000

   side = 2000 ÷ 4

  side = 500 m

Area of square park = side * side

                                 = 500 * 500

                                 = 250000 m²

\(b) a^{m}*a^{n} =a^{m+n}\\\\2^{2}*2^{5} = 2^{2+5} = 2^{7}\)

Answer: 7458 grams

find 12% of 8,475 which is 8475*0.12=1017

this just subtract that from 8475 which is 7458

The minimum number of 2022 Veterans Day that would need to be selected for the sample is 38.

To calculate the minimum number of 2022 Veterans Day celebrations that would need to be selected for the sample to allow the calculation of a 98% confidence interval with a margin of error no larger than 8, we need to use the formula for the margin of error:

Margin of error = Z * (standard deviation / sqrt(n))

where Z is the Z-score corresponding to the level of confidence, standard deviation is the population standard deviation, and n is the sample size.

In this case, we want the margin of error to be no larger than 8, and we want a 98% confidence interval. The Z-score corresponding to a 98% confidence interval is approximately 2.33. The population standard deviation is given as 21.

Plugging these values into the formula and solving for n, we get:

8 = 2.33 * (21 / sqrt(n))

sqrt(n) = 2.33 * 21 / 8

sqrt(n) = 6.125

n = (6.125)^2

n = 37.515625

We need to round up to the next whole number, so the minimum number of 2022 Veterans Day celebrations that would need to be selected for the sample is 38.

Learn more about Veterans Day here

https://brainly.com/question/19117484

#SPJ11

The value of h in the right triangle is 3 units.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find h in the right triangle as follows:

Let's find the angle.

cos ∅ = adjacent / hypotenuse

cos ∅ = 6 / 6.5

∅ = cos⁻¹ 0.92307692307

∅ = 22.6208962498

Therefore,

sin 22.62° = h / 7.8

cross multiply

h = 7.8 × sin 22.62°

h = 7.8 × 0.3846175604

h = 3.00001697112

h ≈ 3 units

learn more on right triangle here: https://brainly.com/question/6322314

#SPJ1

The x-coordinate of the center of mass of the lamina is 5/3.

To find the x-coordinate of the center of mass of the lamina, we need to calculate the double integral of the density function p(x, y) multiplied by the x-coordinate (x) over the triangular region D, and then divide it by the total mass of the lamina.

The density function is given as p(x, y) = x + y, and the region D is the triangular region with vertices (0, 0), (2, 1), and (0, 3).

To set up the integral, we need to determine the limits of integration for x and y.

Since D is a triangular region, we can express it as:

0 ≤ x ≤ 2,

0 ≤ y ≤ (3 - x/2).

Now we can set up the double integral:

∬D (x × p(x, y)) dA

= ∫₀² ∫₀ (3-x/2) (x × (x + y)) dy dx

Solving this integral will give us the x-coordinate of the center of mass.

Evaluating the inner integral first:

∫₀ (3-x/2) (x × (x + y)) dy = [xy + 1/2y²]₀ (3-x/2)

Substituting the limits:

= (x × (x + (3 - x/2))) - (x × (x + 0))

= (x × (3 - x/2))

Now we can evaluate the outer integral:

∫₀² (x × (3 - x/2)) dx = [3x - 1/4x²]₀²

= (3(2) - 1/4(2²)) - (3(0) - 1/4(0²))

= 6 - 1/4(4)

= 6 - 1

= 5

Finally, we divide this result by the total mass of the lamina, which is the area of the triangular region:

Area = (1/2) × base × height = (1/2) × 2 × 3 = 3

x-coordinate of the center of mass = (1/Area) × ∫₀² ∫₀ (3-x/2) (x × (x + y)) dy dx = (1/3) × 5 = 5/3

learn more about x-coordinate here

brainly.com/question/28913580

#SPJ4

Given question is incomplete, the complete question is below

Find the x-coordinate of the center of mass of the lamina that occupies the region D and has the given density function p(x, y) = x+y D is triangular region with vertices (0, 0), (2, 1), (0, 3)

Check the picture below.

Answer:

4

Step-by-step explanation:

Let the number be x.

According to the question,

\(\dashrightarrow \sf { \dfrac{1}{4}x - \dfrac{1}{5}x= 8 + 10 } \\\)

\(\dashrightarrow \sf { \dfrac{5x + 4x}{2}= 18 } \\\)

\(\dashrightarrow \sf { \dfrac{9x}{2}= 18 } \\\)

\(\dashrightarrow \sf { 9x = 18 \times 2 } \\\)

\(\dashrightarrow \sf { 9x = 36 } \\\)

\(\dashrightarrow \sf { x =\cancel{ \dfrac{36}{9} }} \\\)

\(\dashrightarrow \underline{\boxed{\pmb { \frak {x = 4 }}}} \\\)

The number is 4.

The center of dilation for the triangle images that is on the graph would be =(0.7,0.3)

The scale factor is calculated as follows;

MO = 8

M¹O¹ = 2

scale factor (k)= 2/8 = 1/4= 0.25

For X, the formula = k(x1+x2)/k-1

where:

x1 = -7

X2 = 5

X⁰ = 0.25(-7+5)/0.25-1

= -0.5/-0.75

= 0.7

For Y, the formula = k(y1+y2)/k-1

where:

y1 =1

y2=-2

y⁰ = 0.25(1-2)/0.25-1

= -0.25/-0.75

= 0.3

Learn more about dilation here:

https://brainly.com/question/29488640

#SPJ1

Point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

To calculate point estimate of the difference in the population mean exercised between underclassmen and upperclassmen we use the difference between the sample means:

point estimate = x1 - x2

where x1 is the sample mean for the upperclassmen and x2 is the sample mean for the underclassmen.

Substituting the given values, we get:

point estimate = 0.76 - 0.60

point estimate = 0.16

Therefore, the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

Learn more about population mean.

brainly.com/question/30727743

#SPJ11