anybody can help me?

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

Answer:

The answer is no doubt about it

Answer:

It would take about 72 minutes to travel 78 miles. Hope this helps. :)

Step-by-step explanation:

Divide 78/72 to give miles per minute.

Then multiply by 60 to give miles per 60 minutes or miles per hour.

78 miles in 72 minutes = 65 mph.

Given the function:

we know that the derivative of g(x) is:

then, the slope at point (pi/2,0) is:

therefore, the slope is g'(pi/2) = -1

False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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Answer:

A. 140

Step-by-step explanation:

3 hours converts to 180 minutes, so 180-40=140, therefore A is correct.

Answer:

< i = 21.6 degrees

Step-by-step explanation:

Side KI = 5.3 ft

Side JK = 2.1 ft

To find :  = ?

Answer:

Step-by-step explanation:

to get the value of angle I, use the formula: x tan⁻¹Ф = h

where: x = 5.3

           h = 2.1

          Ф = ?

plugin values into the formula;

5.3 tan⁻¹Ф = 2.1

tan⁻¹Ф  = 2.1  

               5.3

           ≈ 22°

Answer:

(3 x 10^3) / (12 x 10^6) = 0.00025

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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Answer:

5x + 6y

Hope it helps!

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

The rules describes the transformation is (x, y)(x, y).

The correct option is (B)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

If the figure is rotated 360 degrees then the coordinates remains unchanged.

This is because when from where it started it stops there again.

As the 360 degree rotation is complete circle rotation.

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Dilation and Stretch are non-rigid transformations.

Non - Rigid transformation:

Non-rigid transformations can change the size or shape of the archetype, or both size and shape. The two transformations Strain and Shear are not rigid. The resulting image of the transform is changed in size, shape, or both.

A non-rigid transformation is a transformation that changes the length or angle of a shape's sides. Nonrigid transformations are dilation and stretching.

All types of transformations except dilation are rigid transformations.

Dilation transformations are divided into two types

Therefore non-rigid transformations are Dilation and Stretching

Dilation:

Dilation (usually denoted by ⊕) is one of the fundamental operations in mathematical morphology. Originally developed for binary images, it was expanded first to grayscale images and then to full meshes. Stretch operations typically use a structuring element to examine and expand the shapes contained in the input image.

Strechting:

A non-rigid transformation changes the size or shape of an object. Resizing (stretching horizontally, vertically, or both) is a non-rigid transformation.

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Therefore, the general solution of the given second-order differential equation is: y = c1 e^(0t) + c2 e^(-1/2 t).

To find the general solution of the given second-order differential equation 2y'' + y' = 0, we can assume that the solution is of the form y = e^(rt), where r is a constant to be determined.

First, we find the first and second derivatives of y with respect to t:

y' = re^(rt)

y'' = r^2 e^(rt)

Substituting these expressions into the differential equation, we get:

2r^2 e^(rt) + r e^(rt) = 0

Factoring out e^(rt), we get:

e^(rt) (2r^2 + r) = 0

This equation will be satisfied if either e^(rt) = 0 or 2r^2 + r = 0.

Since e^(rt) is never zero, we must have:

2r^2 + r = 0

Factoring out r, we get:

r(2r + 1) = 0

So, either r = 0 or r = -1/2.

Therefore, the general solution of the given second-order differential equation is:

y = c1 e^(0t) + c2 e^(-1/2 t)

Simplifying this expression, we get:

y = c1 + c2 e^(-1/2 t)

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(a) The population of interest is people that drive along highways with digital billboards.

(b) The claim tested is that the time required to respond to road signs increases when digital billboards are present.

(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes random assignment, the presence of a control group, and the researchers' opinions on digital billboards.

(d) Assuming the participants are representative, the risk of an incorrect conclusion would be lower with 100 participants instead of 48, as larger sample sizes generally lead to more accurate estimates.

(a) The population of interest in this study is people that drive along highways with digital billboards.

(b) The claim tested in this study is that the time required to respond to road signs increases when digital billboards are present.

(c) Additional information that would help decide if it is reasonable to generalize the conclusions of this study to the population of interest includes whether the drivers were randomly assigned to experimental groups, if there was a control group that was not subjected to digital billboards, and the opinions of the researchers on digital billboards. Random assignment and the presence of a control group help to establish causality, while the researchers' opinions can provide insight into potential biases.

(d) Assuming that the people who participated in the study are representative of the population of interest, the risk of an incorrect conclusion would be lower if 100 people had participated instead of 48. This is because larger sample sizes generally lead to more accurate estimates of population parameters and reduce the impact of random sampling variability.

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The given question is incomplete, the complete question is:

The article "More Communities Banning 'Television on a Stick'"† describes an ongoing controversy over the distraction caused by digital billboards along highways. One study mentioned in the newspaper article is described in "Effects of Advertising Billboards During Simulated Driving."† In this study, 48 people made a 9 km drive in a driving simulator. Drivers were instructed to change lanes according to roadside lane change signs. Some of the lane changes occurred near digital billboards. What was displayed on the digital billboard changed once during the time that the billboard was visible by the driver to simulate the changing digital billboards that appear along highways. Data from this study supported the theory that the time required to respond to road signs was greater when digital billboards were present

(a) what is the population of interest? the 48 people that participated in the driving simulation drivers who are distracted by digital billboards all drivers in the u.s. inexperienced drivers in the u.s. people that drive along highways with digital billboards (b) what claim was tested? drivers are more likely to have an automobile accident when digital billboards are present. drivers are more distracted by digital billboards when the display changes. the time required to respond to road signs decreases when digital billboards are present. the time required to respond to road signs increases when digital billboards are present. drivers are less likely to have an automobile accident when digital billboards are present. (c) what additional information would help you decide if it is reasonable to generalize the conclusions of this study to the population of interest? (select all that apply.) the opinions of the researchers on digital billboards the names of the drivers if there was a control group that was not subjected to digital billboards if the drivers were randomly selected if the drivers were randomly assigned to experimental groups (d) assuming that the people who participated in the study are representative of the population of interest, do you think that the risk of an incorrect conclusion would have been lower, about the same, or higher if 100 people had participated instead of 48? lower about the same higher

The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.

We are given the equation of line as;

g(x) = 45 + 9x

Where;

x represents the number of hours studied.

g(x) represents the test score

Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values

At x = -10;

g(x) = 45 + 9(-10)

g(x) = -45

At x = -1;

g(x) = 45 + 9(-1)

g(x) = 35

At x = 0;

g(x) = 45 + 9(0)

g(x) = 45

At x = 1;

g(x) = 45 + 9(1)

g(x) = 54

At x = 2;

g(x) = 45 + 9(2)

g(x) = 63

At x = 3;

g(x) = 45 + 9(3)

g(x) = 72

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The rational function is defined as a polynomial of two parts. That is numerator and denominator i.e., the denominator should not be zero.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0. Additionally, we can define special functions with more constrained domains.

Consider an example to solve a domain of the rational function.

The given function is f(x)=13/10-x

Step:1

Apply values to the term x in the given function,

Take X=1,

The equation becomes

f(1)=13/10-1

f(1)=1.444

Take X=2,

The equation becomes,

f(2)=13/10-8

f(2)=1.625

similarly,

f(3)=1.857,

f(4)=2.167,

f(5)=2.60,

f(6)=3.25,

f(7)=4.33,

f(8)=6.50,

f(9)=13,

But for f(10)= 13/10-10

f(10)=∞

f(11)=-13,

f(12)=-6.5,

f(13)=4.33,.. etc

f(x) is positive when the X value is less than 10. f(x) is negative when the X value is more than 10. But f(10)=∞ is never possible.

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Answer:

2/3

Step-by-step explanation:

We can find the slope using

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

   = ( 3-1)/(5-2)

   = 2/3

Answer:

2/3

Step-by-step explanation:

Use the equation y2-y1/x2-x1

So, 3-1/5-2

2/3

Answer:

A

Step-by-step explanation:

because

In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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The equation the function after the transformation is  g(x) = -4x² - 8

The equation of the function is given as

f(x) = x²

The sequence of transformations is given as follows:

When the above transformations are combined, we have:

So, we have

g(x) = -4(x² + 2)

Expand

g(x) = -4x² - 8

Hence, the function g(x) is g(x) = -4x² - 8

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Starting on January 1, park rangers in Everglades National Park began monitoring the water level of a specific park area. Initially, the water level was recorded as 2.5 feet.

Over time, the water level decreased by approximately 0.015 feet per day. This information is essential for tracking changes in the ecosystem of the National Park and understanding how climate factors are affecting the environment, we'll break it down step by step:

1. On January 1, the water level in Everglades National Park for a particularly dry area was initially 2.5 ft.

2. The water level decreased at 0.015 ft per day.

Now, to find the water level at a given day "t", you can use the following equation:

Water level = Initial water level - (Rate of decrease × Number of days)

Where:
- Initial water level = 2.5 ft
- Rate of decrease = 0.015 ft/day
- Number of days = t

So the equation becomes:

Water level = 2.5 - (0.015 × t)

By plugging in the desired day "t" into the equation, you can determine the water level on that specific day.

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Let us solve the problem step by step.

here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.

Now, it is time to calculate the probability.

The required probability is,

p = (No. of cases favorable for the event)/(Total no. of cases)

=6/36 = 1/6

If two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, two six-sided dice are rolled and the two dice equal 7.

If two dice are rolled. The total no. of possible outcomes will be,

= 6²

=36

The total outcomes are,

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

If the desired outcome is their sum which is 7. All the possible cases are 6,

(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)

The required probability is,

p(sum=7) = (No. of cases favorable for the event)/(Total no. of cases)

p(sum=7)=6/36

p(sum=7)= 1/6

Thus, if two six-sided dice are rolled and the two dice are equal. The probability that one die is a 3 will be 6.

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Step-by-step explanation:

Hindi ko poh alam ✌️

Answer:

the customer should pay Rs.6780 including VAT.

Step-by-step explanation:

here,

Marked price(MP)=7500

Discount(D)=20%

VAT=13%

now,

selling price(SP)=MP-D%of MP

=7500-20×7500/100

= 7500-1500

= Rs 6000

again,

SP with VAT = SP +VAT of SP

= 6000+13×6000/100

=6000+780

=Rs.6780

hence,

the customer should pay Rs. 6780 including VAT.

The volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

The volume of a square pyramid is expressed as;

V = (1/3)a²h

Where a is the base length and h is the height of the pyramid

Given that;

First, we determine the height of the pyramid using Pythagorean theorem.

c² = a² + b²

(40cm) = (32cm)² + h²

1600cm² = 1024cm² + h²

h² = 1600cm² - 1024cm²

h² = 576cm²

h = √576cm²

h = 24cm

Now, we calculate the volume of the right square pyramid;

V = (1/3)a²h

V = (1/3) × (64cm)² × 24cm

V = (1/3) × 409664cm² × 24cm

V = 32768cm³

Therefore, the volume of the right squared pyramid with the given base edges and slant height is 32768 cubic centimeters.

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Answer: x = -2

Step-by-step explanation:

Since both equations are in the y-slope form,

we can use substitution for y in finding x.

Hence,

4x=x-6

4x-x=x-x-6

Subtract x from both sides to get x on one side and integer on one side.

\(\frac{3x}{3} =\frac{-6}{3}\)

Divide 3 to find the value of x

x=-2

Answer:

95%

Step-by-step explanation:

When a value is multiplied by 0.05 ;

The equivalent percentage decrease on the value is :

(1 - 0.05) * 100%

0.95 * 100%

= 95%

Therefore, Multiplying a value by 0.05 is the same as decreasing by 95%

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

\( sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 \) (nearest thousandth)

Answer:

Hey! The correct answer is the third option, I just took the test and it was correct

Step-by-step explanation:

3.) 0.894