A family of 10 purchased tickets to the county fair. Tickets for adults cost $6 and tickets for children cost $3. If the total cost of the tickets was $42, how many family members were adults and children?

Answer:

1) a , b , c , e are ans....

2) a.F b.T c.F d.T

We can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.

A report in a magazine contains information on energy costs per year for 32-inch liquid crystal display (LCD) televisions. According to the report, a sample of 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.90. Using a 99% level of confidence, the confidence interval for the true population mean energy cost per year can be calculated. A 99% level of confidence indicates that there is only a 1% chance that the true population mean energy cost per year falls outside the interval.Confidence Interval for Mean = $\bar{X}±t_{\frac{\alpha}{2},n-1}\frac{S}{\sqrt{n}}$Where, $\bar{X}$ is the sample mean,S is the sample standard deviation,n is the sample size,t is the critical value of t-distributionα is the level of significancet= 3.71 (using t-distribution table for 99% level of confidence with n - 1 degrees of freedom)Mean = $16.50 ± 3.71 × \frac{3.90}{\sqrt{14}}$=$16.50 ± 3.12$The 99% confidence interval for the true population mean energy cost per year is (13.38, 19.62). Therefore, we can conclude that with 99% confidence, the true population mean energy cost per year falls between $13.38 and $19.62.

Learn more about mean here:

https://brainly.com/question/30112112

#SPJ11

Answer:

the answer should be 25, 32 , 40

Step-by-step explanation:

it does not follow the Pythagoras theorem

good day mate

Answer:

The answer is 5 years

Step-by-step explanation:

50+(3x5)=65

75-(2x5)=65

The problem involves solving Laplace's equation in the upper half plane with the boundary condition given by the equation 4x + y = 0 on the line segment -0 ≤ x ≤ a. Additionally, it is assumed that the solution u(x, y) approaches zero uniformly as y approaches infinity.

Laplace's equation in two dimensions is given by ∇²u = 0, where u(x, y) is the unknown function and ∇² is the Laplacian operator. In this problem, we are specifically interested in solving Laplace's equation in the upper half plane.

To solve Laplace's equation in the upper half plane with the given boundary condition, we can use the method of separation of variables. We assume a solution of the form u(x, y) = X(x)Y(y) and substitute it into Laplace's equation. This leads to two separate ordinary differential equations, one for X(x) and one for Y(y).

Solving the equation for X(x), we obtain a solution in terms of x. Similarly, solving the equation for Y(y), we obtain a solution in terms of y. By applying the given boundary condition 4x + y = 0 on the line segment -0 ≤ x ≤ a, we can determine the specific form of the solution.

The assumption that u(x, y) approaches zero uniformly as y approaches infinity indicates that the solution must decay as y increases. This condition further constrains the form of the solution and allows us to determine the behavior of the solution as y approaches infinity.

By solving the separated differential equations and applying the boundary condition and the assumption of uniform decay, we can obtain the solution to Laplace's equation in the upper half plane with the given conditions.

Learn more about Laplace's equation here:

https://brainly.com/question/31583797

#SPJ11

The x-component of the 450 N force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.

To determine the x, y, and z components of a force, we need to express the force in terms of its magnitude and direction angles. The x-component represents the force's projection onto the x-axis, the y-component represents the projection onto the y-axis, and the z-component represents the projection onto the z-axis.

In this case, the force has no component along the x-axis, so the x-component is 0 N. The force's entire magnitude is directed in the negative y-direction, so the y-component is -450 N. Similarly, the force has no component along the z-axis, so the z-component is 0 N.

As for the angles, the force is perpendicular to the x-axis, resulting in a 90-degree angle. The force is also directed opposite to the positive z-axis, resulting in a 180-degree angle with the z-axis.

Therefore, the x-component of the force is 0 N, the y-component is -450 N, and the z-component is 0 N. The angles associated with the force are 90 degrees with the x-axis and 180 degrees with the z-axis.

Learn more about angles here:

https://brainly.com/question/31818999

#SPJ11

If we consider a system where block A has a length of 0.75 times block B's length, block B has a length of 10, and block C has a length of 0.5 times block A's length, we can determine which block is harder to tip over.

To analyze the stability of the system, we can compare the center of mass of each block relative to its base of support. The block with a higher center of mass is more likely to tip over.

For block A, its center of mass is located at a distance of 0.375 times its length from its base.

For block B, its center of mass is located at a distance of 5 units from its base.

For block C, its center of mass is located at a distance of 0.375 times block A's length from its base.

Comparing the distances, we see that block B has the highest center of mass at 5 units, making it easier to tip over compared to blocks A and C. Thus, in this system, block B is harder to keep stable and more prone to tipping over.

Learn more about stability here: brainly.com/question/808264

#SPJ11

The domain of the area function is 0 < x ≤ 300, and the range is A > 0. The total area enclosed by a rectangular fence, given a fixed amount of fencing, can be expressed as a function of the length of one side.

The domain and range of this area function depend on the constraints imposed by the amount of fencing available.

a) To express the total area enclosed as a function of the length x, we need to consider that the perimeter of a rectangle is twice the sum of its length and width. Since the farmer has 600m of fencing, we can write the equation:

2x + 2y = 600

Solving for y, we can express it in terms of x:

y = (600 - 2x) / 2

The area of the rectangle is given by the product of its length and width:

A = x * y = x * (600 - 2x) / 2

b) The domain of the area function is determined by the values of x that satisfy the constraints of the problem. Since x represents the length of one side of the rectangle, it must be positive (x > 0). Additionally, the sum of the lengths of all four sides must be less than or equal to the available fencing, which gives us the constraint: 2x + 2y ≤ 600.

The range of the area function represents the possible areas of the enclosed rectangle. Since both x and y are positive, the range is also positive.

Therefore, the domain of the area function is 0 < x ≤ 300, and the range is A > 0.

Learn more about perimeter here:

https://brainly.com/question/7486523

#SPJ11

Answer:

Step-by-step explanation:

2x+4y=48

5x+2y=64

Adult ticket: $10    Child ticket: $7

For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.

Answer: 4 is i think 0.2 an 5 is 10

Step-by-step explanation:

b=17-12

h=18-14

b=5cm

h=4cm

1cm=0.0328

b=5×0.0328

b=0.164 ft

c=4×0.0328

c=0.131 ft

Give me brainliesst plzzzzz

Answer:

34% in favor of the new dress code

Step-by-step explanation:

Because it has a higher percentage and when there is only 16% of students that doesn't really prove the claim or statement. But, when there is more participating or voting that claim or statement is supported.

Answer: cos ( 390 ) − 4 cot ( − 45 ) sin (330 )

Step-by-step explanation: MAKE ME BRANLIEST!!!!!!

Answer:  x=6

The two angles shown in each are complementary because they add up to 90°.

10 & 12 would be supplementary to one another because they would add up to 180°.

Step-by-step explanation:

We know that on both 10 & 12 the angles add up to equal 90° so...

10.  8x+7x=90

15x=90

x=6

12.  it's the same in pic as 10

The two angles shown in each are complementary because they add up to 90°.

10 & 12 would be supplementary to one another because they would add up to 180°.

Answer:

$7,196.42

Step-by-step explanation:

Using the compound interest formula to fins the amount after 10years;

A  = P(1+r)^n

Principal P = $400,000

Rate r = 8% = 0.08

Time t = 10 years

Substitute

A = 400,000(1+0.08)^10

A = 400,000(1.08)^10

A = 400,000(2.1589)

A = 863,569.99

A ≈ 863,570

Hence the amount after 10 years is $863,570

Monthly deposit = $863,570/120 (10 years is equivalent to 120months)

Monthly deposit = 7,196.42

Therefore he will have to deposit $7,196.42 into his account monthly

Answer: No

Step-by-step explanation: Vincent started 10 miles ahead so Bill will never catch up at this rate

Answer:

-3.5

Step-by-step explanation:

Answer:

Simple Interest (I) =  Principle * Rate * Time

so I = PRT

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

so

Assuming its per year after 4month

I = (47300)(0.03)(0.333333)

I = 472.999527

I = $473

Now we'd add the interest(I) to the Principle

$47300 + $473 = $47773.00

Assuming it is per month, after 4months

I = PRT

I = (47300)(0.03)(4)

I = $5676.00

Now add the interest to the principle

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

Hello again!

Answer:

The correct answer is B. 18 months.

Step-by-step explanation:

I just typed in "credit card payoff calculator" in g00gle, and it should be the first one you see.

That was the website I used to solve this problem. You can use that for other problems you need to solve too.

Hope this helps :)

Answer:

(7,10)

Step-by-step explanation:

x=4+3

y=5+5

Answer:

-8

Step-by-step explanation:

The rule for the sequence is ×2

E.g.

-1×2=-2

-2×2=-4

-4×2=-8

Answer:

-8 is the correct answer according to the sequence's rule.

Answer:

7:3

Step-by-step explanation:

Convert one of the measurements to the other before attempting to solve the question.

1 yard = 3 feet

Multiply both sides by 3 to get:

3 yards = 9 feet

Therefore the ratio would be

21:9

Simplify to 7:3 length to height.

Answer:

Nwm miałem to dawno powodzenia

The following statement (d) "R must be an equivalence relation, and ([x]_R: x∈X) must equal P." is true

The relation R defined as R={(x,y):x∈A and y∈A for some A∈P} is an equivalence relation.

1. Reflexivity: Since the set P does not contain the empty set, Ø∉P, for any element x∈X, there exists a set A∈P such that x∈A. Therefore, (x,x)∈R for all x∈X, making R reflexive.

2. Symmetry: Let (x,y)∈R, which means there exists a set A∈P such that x∈A and y∈A. Since A is a subset of X, it follows that y∈A and x∈A as well. Hence, (y,x)∈R, and R is symmetric.

3. Transitivity: Let (x,y)∈R and (y,z)∈R, which means there exist sets A and B in P such that x∈A, y∈A, y∈B, and z∈B. Since the union of all sets in P is X, the union of A and B is also a set in P. Thus, x∈A∪B, and z∈A∪B. Therefore, (x,z)∈R, and R is transitive.

Since R is reflexive, symmetric, and transitive, it satisfies the properties of an equivalence relation.

Additionally, the equivalence classes ([x]_R: x∈X) of R are equal to the set P. Each equivalence class [x]_R represents a subset of X that contains all elements y∈X such that (x,y)∈R. In this case, for each x∈X, the corresponding equivalence class [x]_R is the set A∈P such that x∈A.

To know more about equivalence relations, refer here:

https://brainly.com/question/31479048#

#SPJ11

1. Finite: A set is considered finite if it contains a specific number of elements. In other words, a set is finite if you can count its elements and reach a finite number. For example, a set containing {1, 2, 3} is finite because it has three elements.

2. Infinite: A set is considered infinite if it has an uncountable number of elements. This means that the set cannot be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). For example, the set of all integers {..., -3, -2, -1, 0, 1, 2, 3, ...} is infinite.

3. Denumerable: A set is denumerable (also called countable) if its elements can be put into a one-to-one correspondence with the natural numbers (1, 2, 3, ...). In other words, a denumerable set has a countable number of elements. For example, the set of all natural numbers is denumerable.

To know more about Denumerable:

https://brainly.com/question/31421629

#SPJ4

Answer:

8

Step-by-step explanation:

First add all the terms together.

[tex]8+7+5+9+6+13=48[/tex], so the total is 48.

Then you divide the total by the number of terms (which is 6) to get the mean.

[tex]\frac{48}{6}=8[/tex], so the mean is 8.

The better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254. So none of the options are correct.

Richardson's extrapolation is a technique used to improve the accuracy of numerical approximations by combining multiple estimates of a quantity. It is commonly applied in numerical analysis and computational mathematics.

To use Richardson's extrapolation, we can apply the formula:

[tex]f'(0) =\frac{2^p * f'(h) - f'(2h)}{2^p - 1}[/tex]

Given the values:

f'(0) = 0.08248 for h = 1

f'(0) = 0.91751 for h = 0.5

We can substitute these values into the Richardson's extrapolation formula:

[tex]f'(0) =\frac{2^1 * 0.91751 - 0.08248}{2^1 - 1}[/tex]

[tex]f'(0)= \frac{1.83502 - 0.08248}{1}[/tex]

[tex]f'(0)=1.75254[/tex]

Therefore, the better approximation for f'(0) using Richardson's extrapolation is approximately 1.75254.

None of the provided options (a, b, c, d) match this value, so none of them are correct.

The question should be:

A formula of order 4 for approximating the first derivative of a function f gives:

f'(0) = 0.08248 for h = 1

f'(0) = 0.91751 for h = 0.5

By using Richardson's extrapolation on the above values, a better approximation of f'(0) is:

a. 0.17095

b. 1.00177

c. 0.97318

d. 1.93645

To learn more about values: https://brainly.com/question/30236354

#SPJ11

Answer:

Cubes in each layer: 6

Number Of Layers: 5

Volume: 30