Designer wants to create a whisper chamber in the shape of an ellipse. He has a warehouse space with a longest length of 30 feet which he decides will be the major axis of his elliptical chamber. He determines the best spots for his guest to stand to experience his whisper chamber will be 4 feet from the center of the warehouse space, which will act as the foci. How far out from the center along the minor axis should he built his whisper chamber.

Answer:

The tails on a normal distribution go on forever and never touch the​ x-axis

Step-by-step explanation:

The normal distribution is also known as Gaussian distribution or bell shaped curve. The normal distribution is divided into two equal parts by the mean hence it is symmetrical at the mean. For a normal distribution, the height of the curve is determined by the mean while the width is determined by the standard deviation.

The two tails at both ends of the normal curve goes on and never touches the horizontal axis.

Answer:

5 sandwiches.

Step-by-step explanation:

$15 for the water, $10 for the soda. So if you add 15 and 10 that's 20. 40-25 = 15 on sandwiches. If each sandwich is $3, then that's 5 sandwiches.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The number of sandwiches bought is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of a bottle = $1.50

Cost of a soda = $2

Cost of a sandwich = $3

Number of bottles bought = 10

Number of sodas bought = 5

Number of sandwiches bought = S

Total amount spend = $40

Now,

10 x 1.50 + 5 x 2 + 3S = 40

Simplify.

15 + 10 + 3S = 40

25 + 3S = 40

Subtract 25 on both sides.

3S = 40 - 25

3S = 15

Divide both sides by 3.

S = 15/3

S = 3

Thus,

The number of sandwiches bought is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

5 pounds

Step-by-step explanation:

(.15(20))/(20+w)=.12

3/(20+w)=.12

20+w=25

w=5

So 5 pounds of water must be added to the solution.

Answer:

x = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{5}{4}[/tex] x + [tex]\frac{2}{5}[/tex] = - [tex]\frac{13}{30}[/tex]

Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions

- 75x + 24 = - 26 ( subtract 24 from both sides )

- 75x = - 50 ( divide both sides by - 75 )

x = [tex]\frac{-50}{-75}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

is it a times before the +?

Step-by-step explanation:

Answer:

fluid ounces

hope it helps;)

The most likely unit to measure the capacity of a mug is fluid ounces (fl oz).

The maximum amount that something can contain or hold is referred to as its capacity. It is useful for determining the volume of a container, such as a mug or a bucket. Capacity measurement units vary, but common ones include millilitres, litres, fluid ounces, and gallons.

Capacity is a measurement of how much fluid or material a container can hold, and it is usually expressed in ounces, millilitres, litres, or gallons.

Because a mug is a container that holds liquids, the appropriate unit of measurement to use when determining how much liquid a mug can hold is capacity.

Thus, the answer is fluid ounces.

For more details regarding capacity, visit:

https://brainly.com/question/31196313

#SPJ7

Answer:

45

Step-by-step explanation:

5x-4y=

Let x=5 and y = -5

5*5 - 4 * (-5)

25 + 20

45

Answer:

1. The mean of the data summarized in the given frequency distribution is 51.81 degrees

2. Comparing the computed mean (51.81 degrees) to the actual mean(56.6) degrees, the computed mean is lesser than the actual mean.

Step-by-step explanation:

1) We are given a Frequency distribution.

Mean of a frequency distribution = Fx/F

Where

Fx = Frequency × midpoint

Low Temperature ​(◦​F) Frequency

40−44 2

45−49 7

50−54 9

55−59 6

60−64 2

F =Total Frequency

= 2 + 7 + 9 + 6 + 2

= 26

a)For low temperature 40 - 44

Frequency = 2

Midpoint (x) = 40 +44/2 = 42

Fx =42 × 2 = 84

b) For low temperature 45 - 49

Frequency = 2

Midpoint (x) = 45+49/2 = 47

Fx =47 × 7 = 329

For low temperature 50 - 54

Frequency = 2

Midpoint (x) = 50 + 54/2 = 52

Fx =52 × 9 = 468

For low temperature 55 - 59

Frequency = 6

Midpoint (x) = 55 + 59/2 = 57

Fx =57 × 6 = 342

For low temperature 60 - 64

Frequency = 2

Midpoint (x) = 60 +64/2 = 62

Fx =62 × 2 = 124

Total Fx =84 + 329 + 468 + 342 + 124

= 1347

Mean =Total Fx/ Total Frequency

= 1347/26

= 51.807692308

Approximately = 51.81 degrees

Therefore, mean of the data summarized in the given frequency distribution is 51.81 degrees

2. Comparing the computed mean (51.81 degrees) to the actual mean(56.6) degrees, the computed mean is lesser than the actual mean.

Answer:

1440 combinations ways

Step-by-step explanation:

We know that the total arrangements will be

6!= 720 because its a 6letter word

So if we take MI to be a one letter word

Same for IM

which will Also be 6!= 720

SO TOTAL possible combination will be 720+720= 1440

Answer:

1440 ways

Step-by-step explanation:

First, we must consider how many letters are in the word "minutes"

7.

This means that the word "minutes" can be arranged in 7! ways, or simply put in 5040 ways.

But then, we're interested in how many ways it can be arranged with I and M besides each other.

In how many ways can the word be arranged with the letters "MI" together

We would have, "MI, N, U, T, E, S" which happens to be 6!, or say 720 ways.

In how many ways can the word be arranged with the letters "IM" together

We would have, "IM, N, U, T, E, S"

which happens to be 6! or again, 720 ways.

Then, the number of ways it can be arranged with "IM" or "MI" together is

720 + 720, and therefore 1440 ways

I hope this helps you...

Answer:

Step-by-step explanation:

Since the actual probability of having a boy child is 0.51, the probability of having a girl child will be (1 - 0.51) = 0.49

A couple plans to have 3 kids; 2 of whom are boys

(A) Using the binomial model, the probability that 2 of the 3 children will be boys is (2/3) × 0.51 = 0.34

(B) The possible orderings of the 3 children are given below:

B1 B2 G / B1 G B2

B2 B1 G / B2 G B1

G B1 B2 / G B2 B1

Where B1 is one male child and B2 is the other male child

(C)  If we wanted to calculate the probability that a couple who plans to have 8 kids will have 3 boys, briefly describe why the approach from part (b) would be more tedious than the approach from part (a)

If the probability of 2/3 is 0.34 then the probability of 3/8 will be 0.1912 when you cross multiply

Answer:

l = 26, w = 10

Step-by-step explanation:

These types of word problems always want you to use variables to find the answer. Variables are always going to represent the numbers you don't know.

This question wants you to find the length and width of the wall of the barn, so let's just use l for length (let l = length of barn wall) and w for width (let w = width of barn wall); this is called defining your variables, so that you--or anyone who looks at your work--know what the letter variable represents.

Now we use the other information we have to find what values the variables actually equal.

We know that the length is 6 feet longer than twice the width. To express this in terms of numbers and variables: l = 6 + 2w. This makes sense, right?

length = 6 + (2 * width)

If the total area of the wall is 260 square feet and we need to find the length and width, we can use the A = lw formula, which you can use for any rectangle. Since 260 is the area (A), we can put that into the formula so that we have 260 = lw.

Next, use the expression we came up with earlier (l = 6 + 2w) to help find the answer.

We have two equations now (l = 6 + 2w and 260 = lw) and we just need to put them together.

This part is the same as solving any other linear equation.

The approach I'll use is substitution:

l = 6 + 2w

260 = lw

Substitute 6 + 2w in for l:

260 = (6 + 2w) w

Distribute:

260 = 6w + 2w²

Solve:

w² + 3w - 130 = 0

w = -13, w = 10

(The width of a rectangle cannot be negative, so it has to be 10 ft.)

We're almost there. The last thing to do is to find the length. Just plug in 10 for w in the l = 6 + 2w formula:

l = 6 + 2(10) = 6 + 20 = 26

To check your work, we can double the width and add 6 to get 26, and 26 * 10 is 260.

So, the length of the wall of the barn is 26 and the width of the wall of the barn is 10.

Answer:

h(x + 1) = 5x² + 10x + 2

Step-by-step explanation:

Step 1: Write out function

h(x) = 5x² - 3

Step 2: Plug in x + 1 for x

h(x + 1) = 5(x + 1)² - 3

Step 3: Expand

h(x + 1) = 5(x² + 2x + 1) - 3

Step 4: Distribute

h(x + 1) = 5x² + 10x + 5 - 3

Step 5: Combine like terms

h(x + 1) = 5x² + 10x + 2

Answer:

The question is incomeplete, below is the completed question

The World Malaria Report (2008) has information on the number of reported malaria cases from 2005–2006 for the ten countries listed in West Africa. The data are presented in the table below:

1. The mean reported West African malaria cases in 2005 is a. less than 116,698. b. greater than 1,600,000. c. 100,000. d. greater than 200,000.

2. The median reported malaria cases in 2006 is a. around 1,000,000. b. less than 200,000. c. 100,000. d. 3,000,000.

3. If the number of reported malaria cases in Sierra Leone were mistyped and reported as 1,160,666, what would happen to the mean and median? a. Both would remain unchanged. b. The mean would change, but the median would stay the same. c. The mean and median would change. d. You cannot tell without doing the actual calculation.

Answer:

The correct answers are:

1. greater than 200,000.  (d)

2. around 1,000,000 (a)

3. The mean and median would change (c)

Step-by-step explanation:

using the data in the attachment to this answer:

1.)The mean is a measure of ecntral tendency, calculated by summing the total of the values and dividing the result by the number of terms. From the data in the 2005 column, only one value is 116,698 and that value is (116,681), the rest of the 9 other values are greater than 116,698 hence option a (less than 116,698) is wrong.

b)Same reason holds for option b (greater than 1,600,000), only one value falls in this category, hence the mean cannot be more than 1,600,000.

c) since the lowest data in the dataset is 116,698, the mean cannot be 100,000, which is less than the lowest data in the dataset

d) The mean is greater than 200,000 because 8 out of 10 (80%) of the values are more than 200,000, hence this is the correct answer.

2) for the median of the 2006 data, let us arrange the values in ascending order:

160,000 266,188 566,450 861,847 1,022,592 1,105,272 1,253,408 1,555,310 2,060,867 3,511,452

For distribution with an even number of terms, the median = (sum of the two middle terms) ÷ 2

Two middle terms are 1,022,592, 1,105,272

Median = (1,022,592 + 1,105,272) ÷ 2

Median = 2127864 ÷ 2

Median = 1, 063, 932

Therefore median is around 1, 000, 000 (a)

3) mistyping the value for Sierra Leone as 1,160,666 instead of 160,666 for 2006, will increase the value by 1,000,000. Both the mean and the median will change, because the value 1,000,000 is a large number compared to the others on the list to cause a change.

Answer:

The answer is B

Step-by-step explanation:

Answer:

He will need 9 tiles

Step-by-step explanation:

Step one:

let us highlight the given parameters

Given data

the size of the kitchen floor is 110 ft^2

the size of the bathroom is 28 ft^2

he used 32.5 tiles for the kitchen

and used x tiles for the bathroom

Step two:

if he used 32 tiles for 110 ft^2 kitchen

he will use x tiles for 28 ft^2 bathroom

cross multiplying we have

x= (32*28)/110

x= 896/110

x= 8.145

Approximately he will need 9 tiles

Answer:

Total Cost 6400

Step-by-step explanation:

Each quarter is 600 dollars

There are 6 quarters. 6 * 600 =              3600

Books                                                       2800

Total                                                          6400

Answer:

6400

Step-by-step explanation:

600*6=3600

3600+2800=6400

Answer: 99

Step-by-step explanation:

factor of 99: 1, 3, 9, 11, 33, 99

This is 6 factors, and they are all odd number

Hope this helps!! :)

Please let me know if you have any question

Answer:

a) H,N,K and I.

b) The line p.

c) The line r.

d) The line q can be also named putting the symbol '' ↔ '' over the capital letters JL, JK or KL.

e) The point N.

Step-by-step explanation:

Let's study each item in order to answer the question :

a) Four collinear points :

We know that two or more points are called ''collinear points'' wherever they belong to the same line.

In the diagram, the only line that contains four points which have name is the line r. The four points are H,N,K and I.

b) A line that contains point M :

In this case, the only line that contains to the point M is the line p because the point M is situated over the line p.

c) A line that contains points H and K :

The only line that contains both points is the line r because the points H and K are situated over the line r.

d) Another name for line q :

Another way to name any line is putting the symbol ''↔'' over a pair of points that are situated over the line (Let's remember that we write the points with capital letters).

One possible name for the line q can be written putting ''↔'' over JL.

The other two names can be written putting ''↔'' over the capital letters JK or KL.

e) The intersection of lines p and r :

There are three cases of intersection between lines :

1 - The case in which the lines don't intersect at any point at all.

2 - The case in which the lines intersect at one point.

3 - The case in which the lines intersect at infinite points (for this case, the lines are parallel and there are superimposed).

In this case, the intersection of the lines p and r is the point N (which belongs to both lines).

Answer:

She have 345$ in her account.

Step-by-step explanation:

Given that,

Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon

Suppose, her savings account balance can be shown with the following expression:

75 + 25w + 35m

If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.

We know that,

When the numbers appear with variables it called coefficients.

When the numbers appear without variables it called constant.

Alphabets in an expression are called variables.

According to question,

25 and 35 are the coefficients and the number 75 appear without variables.

We need to calculate the balance in her account

Using expression

[tex] 75 + 25w + 35m [/tex]

Put the value in the expression

[tex]75+25\times8+35\times2[/tex]

[tex]=345$[/tex]

Hence, She have 345$ in her account.

Answer:

see below

Step-by-step explanation:

The first step is to read the problem

Then you need to make a plan

Implement the plan

Then evaluate the answer to see if it makes sense

Answer:

h = 2A/b

Step-by-step explanation:

Step 1: Write out triangle formula

A = 1/2bh

Step 2: Multiply 2 on both sides to get rid of fraction

2A = bh

Step 3: Divide both sides by b to isolate h

2A/b = h

Step 4: Rearrange

h = 2A/b

Answer:

(-(7 x + 272))/4

Step-by-step explanation:

Simplify the following:

x/2 - (2 + 1/4) x - 70 - ( - 2)

Hint: | Put the fractions in 2 + 1/4 over a common denominator.

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

x/2 - 9/4 x - 70 - ( - 2)

Hint: | Multiply 4 and 2 together.

4×2 = 8:

x/2 - (1/48 + 1/4) x - 70 - ( - 2)

Hint: | Add the fractions over a common denominator to a single fraction.

8/4 + 1/4 = (8 + 1)/4:

x/2 - 9/4 x - 70 - ( - 2)

Hint: | Evaluate 8 + 1.

8 + 1 = 9:

x/2 - 9 x/4 - 70 - ( - 2)

Hint: | Multiply -1 and -2 together.

-(-2) = 2:

x/2 - (9 x)/4 - 70 + 2

Hint: | Put the fractions in x/2 - (9 x)/4 - 70 + 2 over a common denominator.

Put each term in x/2 - (9 x)/4 - 70 + 2 over the common denominator 4: x/2 - (9 x)/4 - 70 + 2 = (2 x)/4 - (9 x)/4 - 280/4 + 8/4:

(2 x)/4 - (9 x)/4 - 280/4 + 8/4

Hint: | Combine (2 x)/4 - (9 x)/4 - 280/4 + 8/4 into a single fraction.

(2 x)/4 - (9 x)/4 - 280/4 + 8/4 = (2 x - 9 x - 280 + 8)/4:

(2 x - 9 x - 280 + 8)/4

Hint: | Group like terms in 2 x - 9 x - 280 + 8.

Grouping like terms, 2 x - 9 x - 280 + 8 = (2 x - 9 x) + (8 - 280):

((2 x - 9 x) + (8 - 280))/4

Hint: | Combine like terms in 2 x - 9 x.

2 x - 9 x = -7 x:

(-7 x + (8 - 280))/4

Hint: | Evaluate 8 - 280.

8 - 280 = -272:

(-272 - 7 x)/4

Hint: | Factor a minus sign out of -7 x - 272.

Factor -1 out of -7 x - 272:

Answer: (-(7 x + 272))/4

1/2 x + (-70) - 2 1/4 x - (-2) = (-(7 x + 272))/4 = True

Answer:

a

  Yes

b

 [tex]P(1 \& 5) = \frac{1}{36}[/tex]

c

 [tex]P(5 \& 1) = \frac{1}{36}[/tex]

d

 [tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{18}[/tex]

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  [tex]P(1) = \frac{1}{6}[/tex]

the  probability of getting a 5 on a dice rolled is  [tex]P(5) = \frac{1}{6}[/tex]

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         [tex]P(1 \& 5) = \frac{1}{6} *\frac{1}{6}[/tex]

         [tex]P(1 \& 5) = \frac{1}{36}[/tex]

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          [tex]P(5 \& 1) = \frac{1}{6} *\frac{1}{6}[/tex]

         [tex]P(5 \& 1) = \frac{1}{36}[/tex]

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          [tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{36} + \frac{1}{36}[/tex]

         [tex]P(5 \& 1 | 1\& 5 ) = \frac{1}{18}[/tex]

Answer:

Step-by-step explanation:

[tex]14n+21\\\mathrm{Rewrite\:}21\mathrm{\:as\:}7\times\:3\\\mathrm{Rewrite\:}14\mathrm{\:as\:}7\times\:2\\\\=7\times\:2n+7\times\:3\\\\\mathrm{Factor\:out\:common\:term\:}7\\=7\left(2n+3\right)[/tex]

Answer:

The answers are letters A,B,and C

Answer:

-5/4

Step-by-step explanation:

the slope is the variable in front of x

y = mx + b

m = slope

b = y-int

Answer:

-5/4

Step-by-step explanation:

using slope intercept form, the slope is -5/4

m= -5/4

Answer:

-12, 0, 13, [-14], [-16], 17

Step-by-step explanation: