Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652. The meal price per guest is 28. How many guests, x, can margaret invite to the reception and stay under budget?

The total shaded area is four times the area of the inner shaded square. If the side length of the inner square is [tex]\(a\) units, the total shaded area is \(4a^2\)[/tex]square units. This is derived by adding the area of the inner square to the outer shaded region's area.

To find the total area shaded, we need to calculate the combined area of the inner shaded square and the outer shaded region.

Let's denote the side length of the inner square as a units and the side length of the outer square as b units. Since the design consists only of squares, the outer square will have sides twice as long as the inner square, so [tex]\(b = 2a\).[/tex]

The area of the inner shaded square is [tex]\(a^2\)[/tex] square units, and the area of the outer shaded region is the difference between the area of the outer square and the area of the inner square, which is[tex]\(b^2 - a^2\).[/tex]

Substituting [tex]\(b = 2a\), we get the area of the outer shaded region as \((2a)^2 - a^2 = 4a^2 - a^2 = 3a^2\)[/tex] square units.

Therefore, the total shaded area is the sum of the area of the inner square and the area of the outer shaded region: [tex]\(a^2 + 3a^2 = 4a^2\).[/tex]

So, the total area shaded is [tex]\(4a^2\) square units, where \(a\)[/tex] is the side length of the inner shaded square.

complete question

Diane made a design using only squares she shaded the inner square and outer region find the total area that is shaded explain how you found your answer.

Answer:

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Corrected question;

In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Step-by-step explanation:

Given;

Total number of students = 65

Number of students with either blue or brown eyes;

= 10+30 = 40

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Probability is the likelihood of an event happening. In this case, the probability of picking a student with blue or brown eyes is 19/13.

Probability is the likelihood of an event happening, calculated by dividing the number of favorable outcomes by the total number of outcomes.

In this case, the total number of students is 65. The probability of picking a student with brown eyes is 65/65 = 1, and the probability of picking a student with blue eyes is 30/65. To find the probability of picking a student with either blue or brown eyes, you add the probabilities, getting 1 + 30/65 = 95/65, which simplifies to 19/13.

Answer:

    2          |   1 |     3  8

  3 0         |  2 |     5

9  8   2     |  3 |    6

3   3  1       | 4  |     1  5  5  

9  5 2   1   |  5 |     0  3  7  9  

                | 6  |    2  2

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex] of an hour

Step-by-step explanation:

Given:

Wayne exercised for 5/6 of an hour in the morning and 1/3 of an hour in the evening

To find:

Additional hours spent by Wayne exercising in the morning than in the evening.

Solution:

Time spent by Wayne in the morning = [tex]\frac{5}{6}[/tex] of an hour

Time spent by Wayne in the evening = [tex]\frac{1}{3}[/tex] of an hour = [tex]\frac{2}{6}[/tex] of an hour

So, Wayne spends [tex]\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}[/tex] more in the morning than in the evening.

Answer:

D

Step-by-step explanation:

If it is half the distance, it would be divided by 2. plus 5 miles more would be added after the division.

Answer:

42

Step-by-step explanation:

have a wonderful day

Answer:

42

Step-by-step explanation:

To find the area of a rectangular prism, you do height*width*base.

5 1/4 also known as 5.25 is the area of the width and hieght multiplied together. So then we would just multiply 5.25 by the base (8) to get 42.

Answer:

43.17 ft/s

Step-by-step explanation:

Let the height of the wall is y.

distance of wall from light is 20 feet.

[tex]tan\theta =\frac{y}{20}[/tex]    

y = 20 tanθ    .... (1)

time period, T = 3 second

[tex]\frac{d\theta}{dt}=\frac{2\pi}{3}[/tex]

Differentiate equation (1) with respect to t.

[tex]\frac{dy}{dt}=20sec^{2}\theta\times \frac{d\theta}{dt}[/tex]

[tex]\frac{dy}{dt}=20sec^{2}10\times \frac{2\pi}{3}[/tex]

dy/dt = 20 x 2.16

dy/dt = 43.17 ft/s

Answer:

The population of this city in 13 years is 440,550.

Step-by-step explanation:

Given:

Suppose a city with population 300, 000 has been growing at a rate of 3​% per year.

Now, to find the population of this city in 13 years.

Let the population of this city in 13 years be [tex]A.[/tex]

Population ([tex]P[/tex]) = 300,000.

Rate per year ([tex]r[/tex]) = 3%.

Time ([tex]t[/tex]) = 13 years.

Now, we put formula to get the population of the city in 13 years:

[tex]A=P(1+r)^t\\\\A=300,000(1+3\%)^{13}\\\\A=300,000(1+0.03)^{13}\\\\A=300,000(1.03)^{13}\\\\A=300,000\times 1.4685\\\\A=440,550.[/tex]

Therefore, the population of this city in 13 years is 440,550.

Answer:

2

Step-by-step explanation:

|a+x|/2 − |a−x|/2 , if a=−2; x=−6

Evaluate this expression

Simply plug in the numbers

| -2 + -6 | /2   -   |-2 - -6|/2

|-8| /2  -   |4|/2

4 - 2

2

Answer:

2

Step-by-step explanation:

So you're dealing with absolute value which means that whatever is inside these symbols |  | will be positive after all the calculations inside are done.

Plug in your values

|(-2) + (-6)|/2

-2 - 6 = -8

absolute value of -8 is 8

8/2 = 4

First part is 4

|(-2) - (-6)|/2

-2 + 6 = 4

4/2 = 2

Second part is 2

Put the two values back into your original equation

4-2 = 2

Answer:

The value of printer will $23,219.72 after 8 years.

Step-by-step explanation:

Given that, Daniels print shop purchases a new printer for $35,000.

Each year it depreciates at a rate 5%.

Exponential function:

[tex]P(t)=P_0(1-r)^t[/tex]

P(t)= Price of printer after t years

[tex]P_0[/tex]= Initial price of printer

r= rate of depreciate.

t=Time

Here, [tex]P_0[/tex] = $35,000,r=5%=0.05, t=8 years

[tex]P(8)= 35000(1-0.05)^8[/tex]

      =$23,219.72

The value of printer will $23,219.72 after 8 years.

The exponential equation is solved and the cost of printer is A = $ 23219.71

Given data:

To find the approximate value of the printer after 8 years, considering a depreciation rate of 5% per year, we can use the formula for exponential decay:

V = P * (1 - r)^t

Where:

V = Value after t years

P = Initial value (purchase price)

r = Depreciation rate (as a decimal)

t = Number of years

In this case, the initial value (P) is $35,000, the depreciation rate (r) is 5% or 0.05, and the number of years (t) is 8.

Plugging in these values into the formula:

V = 35,000 * (1 - 0.05)⁸

V = 35,000 * (0.95)⁸

On simplifying the equation , we get

V ≈ 35,000 * 0.6634

V ≈ $ 23219.71

Hence, the approximate value of the printer after 8 years, considering a 5% depreciation rate per year, is $ 23219.71

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Answer:

The slope is 1 and the y-intercept is 2

Answer:

The area of the surface that needs to be iced is 480 m².

Step-by-step explanation:

A cake has the same shape as a rectangular prism. A rectangular prism has six faces. The first one is formed by the length and the width, the second is formed by the length and the height and the third is formed by the width and the height, each of these faces is mirrored, so the surface area for the cake is:

surface area = 2*width*height + 2*width*length + 2*length*height

surface area = 2*12*4 + 2*12*12 + 2*12*4

surface area = 96 + 288 + 96 = 480 m²

The area of the surface that needs to be iced is 480 m².

Answer:

480 m².

Step-by-step explanation:

A cake will be similar to rectangular prism i.e a solid (3-dimensional) object which has six faces that are rectangle.

Finding surface area for all rectangular prisms involves both addition and multiplication. so the surface area for the cake is given by:

surface area = 2(widthxheight) + 2(widthxlength) + 2(lengthxheight)

surface area = 2(12 x 4) + 2(12 x 12) + 2(12 x 4)

surface area = 96 + 288 + 96 = 480 m²

Therefore, the cake will need the surface area of  480 m² to be iced.

Answer:

(2,-1)

Step-by-step explanation:

Multiply everything by 1/3:

6*1/3=2

-3*1/3=-1

This makes it smaller, so you know what the dilation is.

Answer:

first person is correct

Step-by-step explanation:

Answer:

No solution

Step-by-step explaination

i got it right have a great day  

There is no solution because the variables level out to zero. Option D

A simultaneous equation, also known as a system of equations, refers to a set of two or more equations with multiple variables that are solved together. To find a solution to the system, we are looking for values of x and y that make both Equation 1 and Equation 2 true at the same time.

We have the equation as;

5x – 4y = 6  ---(1)

–5x + 4y = –10 ---- (2)

Add (1) and (2)

When we add the both equations, we would arrive at no possible solution because the variables would be levelled out to zero.

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Answer:

SE=$128.13

Step-by-step explanation:

-Given the sample mean is $34,250 and standard deviation is $2,050 with n=256:

-Standard error is calculated using the formula:

[tex]SE=\frac{s}{\sqrt{n}}[/tex]

Where s is the sample standard deviation.

#We substitute our values to solve for SE:

[tex]SE=\frac{s}{\sqrt{n}}\\\\=\frac{2050}{\sqrt{256}}\\\\=128.125\approx128.13[/tex]

Hence, the standard error is $128.13

Answer:

The probability that the customer is charged incorrectly on at least 3 items is 88.11%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either they are charged correctly, or they are not. The probability of an item being charged incorrectly is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A survey finds customers are charged incorrectly for 4 out of every 10 items.

This means that [tex]p = \frac{4}{10} = 0.4[/tex]

Suppose a customer purchases 11 items.

This means that [tex]n = 11[/tex]

Find the probability that the customer is charged incorrectly on at least 3 items.

Either he is charged incorrectly on less than 3 items, or at least 3. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X \geq 3) = 1[/tex]

We want [tex]P(X \geq 3)[/tex]. So

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{11,0}.(0.4)^{0}.(0.6)^{11} = 0.0036[/tex]

[tex]P(X = 1) = C_{11,1}.(0.4)^{1}.(0.6)^{10} = 0.0266[/tex]

[tex]P(X = 2) = C_{11,2}.(0.4)^{2}.(0.6)^{9} = 0.0887[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0036 + 0.0266 + 0.0887 = 0.1189[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.1189 = 0.8811[/tex]

88.11% probability that the customer is charged incorrectly on at least 3 items

Final answer:

To determine the probability that a customer is charged incorrectly on at least three items out of 11, we use the binomial probability formula, summing up probabilities from 3 to 11 incorrect charges.

Explanation:

Probability of Being Charged Incorrectly on At Least 3 Items

To solve the problem of finding the probability that a customer is charged incorrectly on at least three items when they purchase 11 items, we use the binomial probability formula. Given that the probability of being charged incorrectly for one item is 0.4 (4 out of 10), we denote this as p=0.4. The probability of being charged correctly is q=1-p=0.6. The total number of items, n, is 11.

The binomial probability P(X ≥ k) for at least k successes out of n trials is calculated by summing up the probabilities of having k, k+1,..., n successes.

To find P(X ≥ 3) we calculate:

This calculation involves using the binomial formula which is:

P(X=k) = C(n,k) × p^k × q^(n-k)

Where C(n,k) is the combination of n items taken k at a time.

Once each individual probability is calculated, add them up to find the total probability of being charged incorrectly on at least 3 items. Remember, it is not possible to have a probability greater than 1, as this would imply certainty beyond the maximum possible (100%).

Answer:

1

Step-by-step explanation:

9-8=1

since it is on the same y coordinate it doesn't move much

Answer:

Most students ride the bus since the pie chart section is biggest at the bus section.

23 people walking / 100 people is 23% and 23% of 100 is 23 people.

Step-by-step explanation:

Answer:

Do most students walk, bike, or bus to school?

Most students

✔ bus to school.

If 100 students were surveyed, how many students walk to school each day?

✔ 23 students

Step-by-step explanation: I just did it, it's 100% correct!

Answer:

He spent 5km walking and 30km on the bus

Step-by-step explanation:

This is the complete question;

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours.

How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

solution;

In this question, we have a student who journeyed by walking and also by using a bus, we are asked to calculate the number of kilometers traveled using both means.

We proceed as follows;

Firstly, let’s represent the number of kilometers he walked by x and the number of kilometers he traveled on the bus by y.

Mathematically;

x + y = 35 ••••••••••(i)

Now we know that total distance is 60km at a time of 1.5hours.

Total time = total distance/total time

Time taken to walk = x/5

Time used on the bus = y/60

Adding both will give the total time of 1.5 hours

x/5 + y/60 = 1.5

12x + y = 90 •••••••••(ii)

let’s subtract i from ii

11x =55

x = 55/11 = 5km

Recall x + y = 35

y = 35-5

y = 30km

Answer:

Yes if [3,5] is a set of integers then it contains elements 3,4,5

As Closed bracket denotes that extreme points are also included and 4 is mid element in between 3 and 5

Answer:

Interquartile Range

Step-by-step explanation:

In a box-and-whisker plot, the interquartile range is a measure of the spread of the middle half of the data.

Answer:

Median

Step-by-step explanation:

Median is the middle number in a data set, or the middle value in a list of numbers.

I tried.

Step-by-step explanation:

let the blank be x

[tex] \frac{3}{4} = \frac{x}{24} [/tex]

[tex]x = \frac{24 \times 3}{4} = 6 \times 3 = 18[/tex]

therefore,

[tex] \frac{3}{4} = \frac{18}{24} [/tex]

Answer:

The answer can be 18/24

Step-by-step explanation:

Divide 18/24 by 6

You get 3/4

Then you divide to get 0.75

Answer: A. Experimental Study

Answer:

27 triangles

Step-by-step explanation:

triangle given by [tex]\frac{n(n+2)(2n+1)}{8}[/tex], where n is the amount of triangles on the base

4(6)(9)/8 = 216/8 = 27

Answer:

110 yd cubed

Step-by-step explanation:

The volume of a triangular pyramid is denoted by: [tex]V=\frac{1}{3} Bh[/tex] , where B is the base area and h is the height. We already know here that B = 22 and h = 15, so we can just plug in these values:

[tex]V=\frac{1}{3} *22*15=110[/tex]

Thus, the volume is 110 yards cubed.

Hope this helps!

Answer:

330

Step-by-step explanation:

Because the formula for volume is Base time height (BH) so the base was 22 and the height was 15 so you just multiply them

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

Answer:

40

Step-by-step explanation:

Answer:

Those numbers are factored to

3(2x+3)2 <-------- the last 2 is squared

Answer:

Have a great rest of your day ;)

Step-by-step explanation:

Answer:

1. Compliment: 30 degrees. Supplement: 120 degrees.

2. Compliment: 42 degrees. Supplement: 132 degrees.

3. Compliment: None. Supplement: 83 degrees.