The ceilings in the real house are 12 feet tall. If you built a 3D model with the same scale, how tall would the ceilings be in the model (in in.)?

Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate, as a proportion, is:

7280/624000 = 0.011667.

Hence, the property tax on a house with an assessed value of $762,000 is of:

0.011667 x 762,000 = $8,890.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Hope it help

Step-by-step explanation:

1. B
2. A
3. C
4. C

5. D

The representation that would be best for determining the two values that 50 % of the data will lie is C. Interquartile Range

The interquartile range (IQR) is a measure of the dispersion of a dataset. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. The interquartile range provides a measure of the spread of the middle 50% of the data, as opposed to the range which measures the spread of the entire dataset.

The interquartile range is useful because it is not affected by outliers or extreme values, unlike the range. It is therefore a more robust measure of dispersion and is often used in statistics and data analysis.

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Options for this question include:

Answer:

C. It is just right

Step-by-step explanation:

Kermit's Favorite iced tea:

Tea bags = 15

Water = 2 liters

Ratio of tea bags to water = 15 : 2

= 15/2

= 7.5

Peggy:

Tea bags = 90

Water = 12 liters

Ratio of tea bags to water = 90 : 12

= 90/12

= 7.5

C. It is just right

Kermit would think of Peggy's iced tea is just right

Answer:

c

Step-by-step explanation:

The value of r is -17.

Given,

Points (-4,r) and (-8,3)

slope=-5

Let

A(x1,y1)=(-4,r)

B(x2,y2)=(-8,3)

To find 'r' use formula,

\(slope=\frac{y2-y1}{x2-x1}\\ \\-5=\frac{3-r}{-8-(-4)}\\\\-5=\frac{3-r}{-8+4}\\\\-5=\frac{3-r}{-4}\\\\20=3-r\\\\20-3=-r\\\\17=-r\\\\-17=r\)

Thus, the value of r is -17.

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Answer:

The dispersion among sample means is less than the dispersion among the sampled items themselves because:______

b. Very large values are averaged down

Step-by-step explanation:

The sample means represent average values obtained from both large and moderate values.  Through the process of averaging, the data values obtained as the sample means are much closer to the true values.  This is why the dispersions among the sampled items will be larger than the dispersions among the sample means.  Sample dispersions describe how spread out the data values are on the number line.

Answer:

The standard deviation for the number of people with the genetic mutation in such groups of 100=\(2.375\)

Step-by-step explanation:-

We are given that

Total number of selected people, n=100

p=6%=0.06

We have to find the standard deviation for the number of people with the genetic mutation in such groups of 100.

Let X denote the number of people  with the genetic mutation in such groups of 100.

\(\implies X\sim Bin(n=100,p=0.06)\)

We know that

Standard deviation

=\(\sqrt{np(1-p)}\)

Using the formula

Standard deviation

=\(\sqrt{100\times 0.06(1-0.06)}\)

=\(\sqrt{6(0.94)}\)

=\(2.375\)

Hence, the standard deviation for the number of people with the genetic mutation in such groups of 100=\(2.375\)

Answer: nate

Step-by-step explanation:

nate because 7.905  is higher than all of them

Answer:

a. Plot the points on the graphing calculator, then generate a logarithmic regression equation.

y = 34.17860108 - 5.682632245ln(x)

b. Setting this equation equal to 10, we have x = 70.44 mph

c. If x = 75 mph, then y = 9.64.

It will take Patti and Mike 4.44 hours to do it together.

Word problems in mathematics are the use of basic mathematical techniques such as fractions, algebraic expression, and arithmetic operations to solve mathematical problems.

From the given information:

In an hour,

Thus in an hour, both of them can work on the floor for:

\(=\mathbf{\dfrac{1}{8}+\dfrac{1}{10}}\)

\(=\mathbf{ \dfrac{10+8}{80} }\)

\(=\mathbf{ \dfrac{18}{80} }\)

Thus, for them to complete one part of the floor, it will take them:

\(=\mathbf{ \dfrac{1}{\dfrac{18}{80} }}\)

\(=\mathbf{ \dfrac{80}{18}}\)

= 4.44 hours

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The maximum volume of the cylindrical can such that the sum of its height and its circumference is 45 cm is  337.5 cm³

Let's denote the radius of the cylindrical can as r, and its height as h.

The circumference of the base of the can is 2πr, so the sum of the height and the circumference can be written as:

h + 2πr = 45..(1)

We want to find the maximum volume of the can, which is given by:

V = πr²h..(2)

From (1), h = 45 - 2πr

Substitute h value in equation above

V = πr²(45-2r)

V = 45πr² - 2π²r³

To find the maximum volume, we have to find the differentiation of V

dV/dr = 90πr - 6π²r² = 0

Solving for r, we get:

r = 15/π cm

Now plug in r value in h

V = π(15/π)²(15)

= 337.5 cm³

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Answer:

1152

Step-by-step explanation:

288 x 4=1152

Mathematical induction, .∴ Pn+1 follows if Pn is true. For all positive integers of n, Pn holds true because P1 is true.

Assume that Pn is 4 + 9 + 14 +... + (n/2)(5n + 3)=(5n -1).

First, establish that P1 is accurate when n equals 1.

LHS= 4

RHS

= 1/2(5 + 3)

= 1/2(8)

= 4

= LHS

Is P1 true.

2) Assume Pn to be accurate, i.e., 4 + 9 + 14 +... + ( 5n -1)= (n/2)(5n +3)

3) Establish Pn+1 as true in the induction stage.

Replace (n+1) on both sides of n to obtain Pn+1.

Pₙ₊₁: 4 +9 +14 +...+(5n -1)+ [5(n+1) -1]=

Establish the RHS and LHS's parity.

LHS = 4 +9 +14 +...+(5n -1)+ [5n +5-1]

Bold expression in (2) should be replaced with the value of Pn:

.∴ Pn+1 follows if Pn is true. For all positive integers of n, Pn holds true because P1 is true.

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Answer:

Some rational numbers that you can use are numbers like 25 and 12.5

An irrational number that you can use is π = 3.14159265...

Step-by-step explanation:

Pls give me brainliest thx

If it's wrong then don't bother

a. Category with the greatest frequency is 20 - 24

b. 14 students

c. The percentage is 7%

Frequency is simply described as the number of times an event or observation happened in a given study or experiment that is carried out.

From the information given, we have that;

a. The category with the greatest frequency is the one with most words spelt, we have;

20 - 24

b. The number of students that spelt 35 - 39 words is traceable to

14 students

c. If the total number of students is 200

Then, the percent of students in the 35 - 39 category is;

14/200 × 100/1

Multiply the values

7%

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Hence, there is a 0.68 percent probability that the fifth driver will be the one that police officer summons over while wearing a safety belt.

The word "probability" derives from the Latin word "propitiate," which means "credibility, probability," from the noun probabilism in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

Part A:

The likelihood that precisely 3 drivers are buckled up can be determined using the binomial probability formula:

P(X = 3) = (5 choose 3) × (0.68)³ × (0.32)²

Where (5 choose 3) = 10 is the number of ways to choose 3 drivers out of 5.

P(X = 3) = 10 × 0.68³ × 0.32²

P(X = 3) = 0.267

Consequently, there is a 0.267 percent chance that all 3 drivers are buckled up.

Part B:

The fifth driver will be pulled by by the police officer since 4 other drivers have already been stopped. We are looking for the likelihood that the motorist is wearing a safety belt.

Since 68% of drivers are safety belt wearers, there is a 0.68 percent chance that the following motorist will be as well.

Thus, there is a 0.68 percent chance that the next vehicle the police officer pulls over is driven by a person wearing a safety belt.

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\(p(x-1)\) is a quadratic in the form

\(a(x-1)^2 + b(x-1) + c\)

We want to write \(p(x-1)\) instead in the form

\(a' x^2 + b' x + c\)

To do this, simply expand the first form completely.

\(a(x-1)^2 + b(x-1) + c = a(x^2 - 2x + 1) + b(x-1) + c \\\\ ~~~~~~~~ = ax^2 + (-2a + b)x + (a - b + c)\)

Then \(a'=a\), \(b'=-2a+b\), and \(c'=a-b+c\).

Given

\(p(x-1) = 2(x-1)^2 + 3(x-1) + 4\)

(so \(a=2\), \(b=3\), and \(c=4\)) it follows that

\(a' = a = 2\)

\(b' = -2a + b = -2^2 + 3 = -1\)

\(c' = a - b + c = 2 - 3 + 4 = 3\)

\(\implies p(x-1) = \boxed{2}\,x^2 - \boxed{1}\,x + \boxed{3}\)

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Answer:6

Step-by-step explanation:

Look at the number 16 on the y side and then go to the dot that is on the 16 line then go all the way down and look at the number of people.

Answer:

Cuál es el término de la decimotercera (13.a) posición? 2,−1,5,−3,8,−5.

Step-by-step explanation:

Vamos a encontrar el patrón que se repite en la secuencia, y vamos a ver que el decimo tercer termino es 20.

Tenemos la secuencia:

2, -1, 5, -3, 8, -5

Tomando la diferencia entre terminos consecutivos obtenemos:

-1 - 2 = -3

5 - (-1) = 6

-3 - 5 = -8

8 - (-3) = 11

-5 - 8 = -13

Lo que podemos ver ahi es que la proxima vez que sumemos, tenemos que sumar 3 unidades mas de las que restamos antes, y cuando restemos, debemos restar dos unidades mas de lo que restamos antes, este es el patron.

Es decir, el proximo termino es:

-5 + 16 = 11

El proximo termino es:

11 - 18 = -7

Y así, los siguientes terminos son:

-7 + 21 = 14

14 - 23 = -9

-9 + 26 = 17

17 - 28 = -11

-11 + 31 = 20

Este ultimo es el treceavo termino.

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The value of x is 40 degree.

We have,

Far Arc = 130 degree

Near Arc = 50 degree

According to "Angle-Arc Theorem." It states that the angle formed by the intersection of two tangents, two secants, or one tangent and one secant outside a circle is equal to half the difference of the intercepted arcs.

In other words, The angle formed outside of the circle is always equal to the the far arc minus the near arc divided by 2.

Using Angle = (Far Arc - Near Arc) /2

So, x= (130- 50)/2

x = 80/2

x= 40

Thus, the value of x is 40 degree.

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Given an a geometric sequence or a arithmetic sequence;

A sequence which follows a regular pattern can be described by a rule, or formula.

if we find the common difference also, it doesn't follow a regular pattern

The common difference is not same, Therefore it is not Is this a recursive pattern, a geometric sequence and it is not a arithmetic sequence

Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.

Given that,

Kiet needs to observe a science experiment every 6 minutes for one hour.

He makes his first observation at 1:00 p.m.

Now he needs to make the observation every 6 minutes.

This means that his second observation will be at 1:06 pm.

Third observation will be at 1:12 pm.

Fourth will be at 1:18 pm.

It goes on like this for every multiples of 6.

His last observation will be at 2:00 pm which is at the 60th minute after 1.

Hence Kiet will make his observations at every multiples of 6 until it reaches 60.

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Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.