I’ve tried imputing the numbers but apparently I’m doing wrong so help please

Answer:

D

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to pre image

scale factor = \(\frac{18}{14}\) = \(\frac{9}{7}\) → D

The number of ways to select a simple random sample of size 5 from a population of 7 children in a family is equal to 21ways.

As given in the question,

Number of children in the family 'n' = 7

Number of simple random sample of size  = 5  ( without replacement )

Number of ways to select the children defines a population

= ⁷C₅

= ( 7! ) / ( 7 - 5 )! ( 5! )

= ( 7 × 6 × 5! )/ ( 2! ) ( 5! )

= 7 × 3

= 21 ways

Therefore, the number of ways to select children of simple random sample of size 5 is equal to 21ways.

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Answer:

One side is 40 cm and the adjacent side is 50 cm

Step-by-step explanation:

We can use a rectangle because a rectangle is a parallelogram.  Draw a rectangle.  Write the width as x and the length as x + 10.  We find the perimeter by adding all 4 side lengths.

Two side lengths are x and two side lengths are x + 10.  If we add all of this together we get 180

x +x +x+10+x+10 = 180

4x + 20 = 180  Combine the like terms.  There are 4 x's and 10+10 is 20

4x = 160  Subtract 20 from both sides

x  = 40  Divide both sides by 4

So, two sides are 40 and two sides are 50, this will add up to 180

Answer:

40 cm & 50 cm

Step-by-step explanation:

one side = X cm (??)

the other side =X+10 cm

Solve

2(x+x+10)=180

x+x+10=90

2x=80

x = 80/2

x=40

therefore

x+10=50cm

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Answer:

Helena is correct.

Step-by-step explanation:

The slope intersept form of the line is

y = m x + c

where, m is the slope and c is the intersept.

The point slope form of the equation is

\(y - y'= \frac{y''-y'}{x''-x'}\times (x-x')\)

So, if there are two points are given, the equation of line is found by the point slope form.

So, Helena is correct.

Answer:

15 - 3 x 5

cbhojwj fn h bf   be be gwtt sa ta ets e

Step-by-step explanation:15

Answer:

−1 < x + 3 < 5

-1-3<x<5-3

-4<x<2

Answer: 4

Step-by-step explanation: bc

Answer:

\(12.25\)

Step-by-step explanation:

Area of square is

\( {s}^{2} \)

where s is the side length.

3.5 is s so the answer is

\(3.5 {}^{2} = 12.25\)

Answer:

Area = 12.25 square inches

Step-by-step explanation:

\(Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2\)

Usando medidas proporcionales, se encuentra que tardarán 50 días en construila.

----------------------------------

El voluma de agua es directamente proporcional a el número de días, el número de horas diárias y a el número de obreros, o sea:

\(V = kdho\)

En que k es la constant de proporcionalidad.

De esto, encuentra-se el valor de k.

\(V = kdho\)

\(80000 = k(40)(10)(15)\)

\(6000k = 80000\)

\(k = \frac{80000}{6000}\)

\(k = 13.33\)

O sea

\(V = 13.33dho\)

\(V = 13.33dho\)

\(40000 = 13.33d(6)(10)\)

\(d = \frac{40000}{60 \times 13.33}\)

\(d = 50\)

Tardarán 50 días en construila.

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Answer:

20000

Step-by-step explanation:

3000 / (0.35 + 0.3 - (1 - 0.5))

=20000

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

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Answer: 6.1

Step-by-step explanation:

Answer:

The question is unclear. what is e?

Answer:

C, and x=30

Karen had a gift card for $150. She bought 3 gifts for her sisters. The gifts cost the same amount, x. After paying for the gifts, her gift card had a balance of $60.

Step-by-step explanation:

Determine the height of television by using the pythagoras theorem.

So height of the television is 10.75 inch.

Given that the coefficient of x³ is twice the coefficient of x² in the binomial expansion of f(x)

(a) It is proved that n = 6k + 2

(b)k = 2 and n=14

(c) After expansion, the equation is
   1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

What is the binomial theorem?

The algebraic expansion of a binomial's powers is described by the binomial theorem (also known as binomial expansion) in elementary algebra.
The theorem states that the polynomial (x + y)n can be expanded into a sum including terms of the form axbyc, where the exponents b and c are nonnegative integers and b + c = n, and the coefficient an of each term is a particular positive integer dependent on n and b.

Solution Explained:

f(x)= (1+x/k)^n

Given that the coefficient of x^3 is twice the coefficient of x^2 in the binomial expansion of f(x)

a)

Coeff of x^3 = 1/6[n(n-1)(n-2)/k3]

Coeff of x^2 = 1/2[n(n-1)/k2]

1/6[n(n-1)(n-2)/k3] = 2* 1/2[n(n-1)/k2]

Canceling on both sides gives:

(n-2)/(6k) = 1

n = 6k+2        Hence proved

Given also that the coefficients of x^4 and x^5 are equal and non-zero,

b)

Coeff x^4 = 1/24 [n(n-1)(n-2)(n-3)/k4

Coeff x^5 = 1/120 [n(n-1)(n-2)(n-3)(n-4)/k5

1/120 [n(n-1)(n-2)(n-3)(n-4)/k5 = 1/24 [n(n-1)(n-2)(n-3)/k4

Canceling gives:

(n-4)/(120k) = 1/24

n = 5k+4

From previous:

n = 6k+2 = 5k+4

k = 2

n=14

Using these values of k and n,

c)

Give each coefficient as an exact fraction in its lowest terms
1 + 14x + 91/4x^2 + 1001/2x^3 + 1001/16x^4 + 1001/16x^5

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The scale drawing is 300 units by 80 units.

What are dimensions?

The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. Because only one coordinate is required to specify a point on a line, it has a dimension of one.

Here, we have

Given: A game room has a floor that is 150 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 2 units:5 feet.

we have to find the dimensions of the scale drawing.

A scale of 2 units:5 feet means that for every 5 feet in the real game room, there are 2 units in the scale drawing.

To calculate the dimensions of the scale drawing,

We multiply 150 feet by 2 units/5 feet to get 300 units and multiply 40 feet by 2 units/5 feet to get 80 units.

Hence, the scale drawing is 300 units by 80 units.

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Answer:

No solution

Step-by-step explanation:

The given equation simplifies to:

5x - 15 = -15 + 10(x + 3) - 5x, or

5x        =  10x + 30 - 5x, or

10x        =  10x + 30   NO SOLUTION!

The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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The company has a limited supply of 5 units of Milk and 12 units of Choco in their kitchen. The company earns a profit of P 6 per unit of A sold and P 5 per unit of B sold.

To maximize profit, the company needs to determine the optimal number of units of chocolates A and B to produce and sell. Let's assume x units of A and y units of B are produced.The constraints for Milk and Choco are given as follows:

1x + 1y ≤ 5 (Milk constraint)

3x + 2y ≤ 12 (Choco constraint)

The objective is to maximize the profit, which can be expressed as:

Profit (P) = 6x + 5y. By graphing the feasible region determined by the constraints, we can identify the corner points that represent the possible solutions. These corner points are obtained by solving the system of equations formed by the constraints.After obtaining the corner points, we evaluate the profit function at each point to determine the maximum profit. The solution that yields the highest profit represents the optimal number of units of chocolates A and B to produce and sell.

It is important to note that if the feasible region is unbounded or there are non-integer solutions, additional considerations may be required to find the optimal solution. However, in this case, we have a finite feasible region, and the maximum profit can be determined by evaluating the profit function at the corner points.

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The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm). solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.

x = 25 cm

We can calculate the value of x by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).

Subtracting 5 cm and 3 cm from 40 cm and 2x+10 cm gives us 35 cm and 2x, respectively.

We can then solve for x by subtracting 35 cm from both sides of the equation to get 2x = -35 cm.

Dividing both sides by 2 gives us x = -17.5 cm.

Since x must be a positive value, the correct answer is x = 25 cm.

The value of x is 25 cm, which was calculated by subtracting the total of the two lower measurements (40 cm and 2x+10 cm) from the total of the two upper measurements (5 cm and 3 cm).

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Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

Answer:

Her speed is 4/5miles per 1/10hour

which is 0.8miles per 6 minutes

so we times 10 which is

80miles per 1 hour

Step-by-step explanation:

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

i have no idea

Step-by-step explanation:

Answer:

credit of 60= lost 40  points

Step-by-step explanation:

31-27= 4

Answer:

$50.40

Step-by-step explanation:

To find how much Lana will pay in total follow these steps.

First, multiply 40 by 1.05.

40×1.05=42.

This is how much she will pay for the food plus tax.

Now, multiply 42 by 1.2.

42×1.2=50.40

This is how much she will pay for the food, tax, and tip.

Lana will pay a total of $50.40.

Hope this helps!

Answer:

7

Step-by-step explanation:

4 is half of 8 so if s is 4 then the fraction is 8/4. simplified it is 2/1, and that is 2 wholes so 2. the equation rewritten is 9-2 and that = 7.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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In the molecule of phosphorus pentachloride:

In geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions. It can be thought of as a completely flat and level surface, like a tabletop or a sheet of paper.

Collinear points, on the other hand, are points that lie on the same straight line. If three or more points are collinear, they can be connected by a straight line, and the line they lie on is sometimes called a "collinear line".

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The universal set U from which the subset was derived is; U = {keys on a keyboard }

We are told that S is a subset within a universal set, U.

Now, If S = {x, y, 4, 9, ?}  

Given S is a subset within a universal set U;

According to the question S = {x, y, 4, 9, ?}.

Now, we need to find among the given sets the one that describes the best set.

The best Universal set will be {keys on a key board } since the keys on a keyboard will have alphabets, numbers and punctuation marks mentioned in the set

Therefore, U = {keys on a keyboard }

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