After 3.5 hours, pasha had traveled 217 miles. If she travels at a constant speed, how far will she have traveled after four hours

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer:

18.8% (nearest tenth)

Step-by-step explanation:

Decrease = 16 - 13 = 3

Decrease % = Decrease/Original x 100%

                    = 3/16 x 100

                    = 0.1875 x 100

                    = 18.75%

When dealing with time series data, the multiple regression assumptions of

strict exogeneity has a strong likelihood of being violated. It is possible to show that estimates are consistent.

Scientific data is defined as information collected using specific methods for specific research or analytical purposes. Data collected in laboratory experiments conducted under controlled conditions are an example of scientific data.

Data science enables organizations to efficiently understand vast amounts of data from multiple sources, derive valuable insights, and make smarter, data-driven decisions. Data science is widely used in various industries such as marketing, healthcare, finance, banking, and political activism.

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Answer:

Great

Step-by-step explanation:

However, you're missing a factor of 9.

Answer:

1x81 =81

3x27=81

9 x 9 =81

1,3,27,81 These are factors too, but you missed of the number 9.

Answer:

64,26

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

The box means its is a 90 degree angle

90 + 2x+ x-6 = 180

Combine like terms

84+3x = 180

Subtract 84 from each side

84+3x-84 = 180-84

3x=96

Divide by 3

3x/3 = 96/3

x = 32

The top angle is

2x = 2*32 = 64

The bottom right angle is x-6

32-6 = 26

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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Answer:

the nominator could be any number here

Step-by-step explanation:

what do you need ? the equation itself is true, if you put the same number in both places above 21.

any number is possible there, it will not change the equation.

so, again, I am not sure, what you need here.

let's write it with a variable to make my statements clearer :

9 + 1 x/21 = 10 x/21

that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.

and then we add the fraction again (x/21).

again, you can put any number instead of x, and it will always be true.

example

9 + 1 4/21 = 10 4/21

All rectangles are square is a false statement

The given statement is false statement.

What is a rectangle and square?

A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.

We are given a statement All rectangle are squares.

As every side of a square is of equal length And only opposite sides are of equal length in rectangle

All rectangles are not square

Hence the statement is not true

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Answer:

(x−2)(x−4)

Step-by-step explanation:

Let's factor x2−6x+8

x2−6x+8

The middle number is -6 and the last number is 8.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -6

Multiply together to get 8

Can you think of the two numbers?

Try -2 and -4:

-2+-4 = -6

-2*-4 = 8

Fill in the blanks in

(x+_)(x+_)

with -2 and -4 to get...

(x-2)(x-4)

Hope this helps! Also, if it's no trouble, can I have brainliest? Thanks! :D

Answer:

x = 2 , x = 4

Step-by-step explanation:

To solve the expression equate it to zero

x² - 6x + 8 = 0 ( subtract 8 from both sides )

x² - 6x = - 8

To complete the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 3)x + 9 = - 8 + 9

(x - 3)² = 1 ( take square root of both sides )

x - 3 = ± \(\sqrt{1}\) = ± 1 ( add 3 to both sides )

x = 3 ± 1

Then

x = 3 - 1 = 2 or x = 3 + 1 = 4

Answer:

50+48+2=100

and walnut is half

so ans shld be 30

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

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Using an exponential function, it is found that the multiplier used to predict the amount of medication remaining 2 hours after the peak level is of 0.6889.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, we have that the decay rate is of r = 0.17, hence:

\(A(t) = A(0)(0.83)^t\)

After 2 hours, the multiplier is given by:

\(A(2) = A(0)(0.83)^2 = 0.6889A(0)\)

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Answer:

250 $3 tickets and 100 $2 tickets were sold.

Answer:

1) 60 students, 120 parents, and 50 general admission

2) there are infinite real solutions

3) (29,2,20)

4) (20,60,32)

Step-by-step explanation:

did the quick check

P(W) denotes the probability of getting  an intoxicated driver among screened and its value is 5/691 or 0.00724

When a sample is collected then the probability of the event  is the ratio of the outcomes favorable with the event to the total outcomes.

If E is an event then P(E) denotes the probability that how likely can E occur.

Given that 691 drivers were screened in an sobriety checkpoint conducted by the police department and 5 were arrested it means 5 were intoxicated

W denotes the event of screening a driver and getting someone who is intoxicated

Probability of screening a driver and getting someone who is intoxicated

P(W) =  Intoxicated drivers / Total drivers screened = 5 /691 =0.00724

Therefore P(W) denoted that the probability of getting a intoxicated driver on screening is 0.00724  and this probability is very less  or P(W)*100 = .724 % drivers are intoxicated among the screened .

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The probability that sample is greater than 418 will be is 6.533.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

Here we have

\(\mu=397.64,n=40,\sigma=20\)

According to central limit theorem, the sampling distribution of mean will be normal with mean

\(\mu_{\bar{x}}=\mu=397.64\)

and standard deviation

\(\sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}=\frac{20}{\sqrt{40}}=3.1623\)

The z-score for\(\bar{x}=418\) is

\(z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{418-397.34}{3.1623}=6.533\)

Therefore, the probability that sample is greater than 418 will be

\(P(\bar{x} > 418)=P(z > 6.533)\)

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Incomplete Question

Carbon dioxide (CO2) is one of the primary gases contributing to the greenhouse effect and global warming. The mean amount of CO2 in the atmosphere for March 2013 was 397.34 parts per million (ppm). Suppose 40 atmospheric samples are selected at random in May 2013 and the standard deviation for CO2 in the atmosphere is σ = 20 ppm. (1 pt.)

c) Suppose the sample mean CO2 level is 400. Is there any evidence to suggest that the population mean CO2 level has increased?

Answer:

Step-by-step explanation:

0.40beta%2Bbeta=180-5

1.40beta=175

beta=175%2F1.40

highlight%28beta=125%29�

then alpha%2B125=180 =>alpha=180-125 =>highlight%28alpha=55%29

The required values of angles are 125 and 55.

When two straight lines come together at a point, they produce an angle, which is represented by the symbol.

Given that,

Two angles are supplementary to each other.

Let angles are α and β.

According to given condition,

α + β = 180      (1)

Also, the measure of one angle α is 5 greater than 40% of the other.

α = 0.4 β + 5      (2)

Substitute the value of α in equation (1),

0.4 β + 5 + β = 180

1.4 β = 175

β = 175 / 1.4 = 125

The value of α =0.4 x 125 + 5 = 50 + 5 = 55

The value of angle α and β are 125 and 55.

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Answer:

La media aritmética es aproximadamente 4.46 años, y la mediana es de 5 años.

Answer:

y < x – 2 and y > x + 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Expand (x+2)^3. (x+2)3 ( x + 2 ) 3. Use the Binomial Theorem. x3+3x2⋅2+3x⋅22+23 x 3 + 3 x 2 ⋅ 2 + 3 x ⋅ 2 2 + 2 3. Simplify each term.

4 is the value of x ,on solving that  m and n are in perpendicular lines. calculating  the slope of AB is explained below,

in  order to find the slope of AB. the formula is used as

m=(y2-y1)/(x2-x1)

on substituting we get,

m=(8-6)/(4-(-2))

m=2/6

m=1/3

Calculating CD  in which it is perpendicular to AB

hence, it should contains the negative reciprocal of the slope of AB, mathematically as ,

m1 * m2= - 1  ,condition is applied when m and n  lines to be perpendicular

hence,

m/3=-1

m = - 3    

therefore  CD will have a slope of -3

in which CD  can be expressed as part of the each  line:

y=-3x+b, on solving  for b using point C, (8,12)...

12 = - 3(8) + b

12= - 24 + b

36=b

hence, the line of CD is :

y = - 3x + 36  

the x coordinate is calculated  for (x,24),

hence,

y=24

24=-3x+36

3x+24=36

3x=12

x=4

therefore the value of x = 4 when the 2 lines are in parallel lines .

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Answer:

should be acute

Step-by-step explanation:

hypotenuse is smaller than both sides combined

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

The equation of line is y = 20x and the number of months is x > 4

Given data ,

Let's represent the number of months as "x" and the amount of money in Rose's savings account after n months as S(x).

Since Rose deposits $20 every month, the amount of money in her savings account after n months can be expressed as:

S(x) = y = 20x

To determine when Rose will have more than $80 in her savings account, we can set up the following inequality:

y > 80

Substituting the expression for S(n):

20x > 80

Divide by 20 on both sides , we get

x > 4

Hence , the inequality that represents when Rose will have more than $80 in her savings account is: x > 4

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Answer:

14: A

15: A

Step-by-step explanation:

Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

Answer:

\(=15\cdot \frac{\sqrt{3}}{2}\)

Step-by-step explanation:

An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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The z-score to the nearest tenth for the following blood pressure readings is 45.14%.

What is blood pressure ?

The force of moving blood exerted on the walls of blood arteries is known as blood pressure. The heart's action of pumping blood through the circulatory system is mostly responsible for this pressure. The pressure in the major arteries is meant when the word "blood pressure" is used without qualifier.

As the data is normally distributed we can use standard normal z table to estimate the answers.

Z = (x-mean)/s.d

Given mean = 121.

S.d = 15.

P(X<142).

Z = (142-121)/15 = 1.4

From z table,

P(z<1.8) = 0.9641 ~ 96.41%

P(X>130).

Z = (130-121)/15 = 0.6

From z table,

P(z>0.6) = 0.8849

P(112<X<130) = P(X<130)-P(X<112).

P(X<130).

Z = (130-121)/15 = 0.6

From z table,

P(z<0.6) = 0.7257

P(X<112).

Z = (112-121)/15 = -0.6

From z table,

P(z<-0.6) =0.2743

Required answer is 0.7257-0.2743 = 0.4514 ~ 45.14%

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Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions