Suppose you travel at 70 mph for 520 miles. How many hours will take you to reach your destination

Answers

Answer 1

Answer:

7.4

Step-by-step explanation:

Answer 2
Final answer:

To calculate the time taken to travel a certain distance at a certain speed, use the formula: Time = Distance/Speed. In this case, to travel 520 miles at 70 miles per hour, it would take approximately 7.43 hours or 7 hours and 26 minutes.

Explanation:

The subject of this question is about calculating time based on speed and distance in a real-world context. To find out how many hours it will take you to reach your destination travelling at 70 miles per hour for 520 miles, we use the formula: Time = Distance / Speed. In this context, the distance is 520 miles and the speed is 70 miles per hour. Insert these values into the formula, you get: Time = 520 / 70 which gives you approximately 7.43 hours. This means it would take you about 7 hours and 26 minutes to reach your destination, if you were traveling at a consistent speed of 70 miles per hour.

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Related Questions

I want to know if mammals usually have more teeth than reptiles

Answers

Answer: yes reptiles have no teeth at all while mammals have two sets of teeth

Step-by-step explanation:

Answer:

dot plot

Step-by-step explanation:

gay gay

In which quadrant does the point (5, -13) lie?
A.
Quadrant IV
b. Quadrant !
c. Quadrant III
D.
Quadrant II

Answers

Answer:

IV

Step-by-step explanation:

Since x is positive, the two possible quadrants are I and IV.

Since y is negative, the two possible quadrants are III and IV.

The point lies in quadrant IV.

Consider the system of equations.
y = -x + 3
y=-x-3
The graph of the first equation is shown by the orange
line.
ty
What is the slope of the orange line?
If the second equation was drawn on the same graph,
what would be its slope?
If the lines of both equations were shown on the same
graph, they would
The system of equations has

Answers

Answer:

slope of orange Line = -1

slope of other line = -1 (also)

would be parallel

no solution

Step-by-step explanation:

how do i know. I did the assignment. Can i get brainlyest. I need it please.

This question is based on system of linear equation. thus, there is no solution of equations.

Given:

y = - x + 3                                                                        ...(1)

y = -x - 3                                                                          ...(2)                          

We know that ,

Equation of line  is y = mx+c                                        ...(3)

Now, calculate the slope of equation (1) is m= -1 (by comparing equation (1) and (3).

Now, calculate the slope of equation (2) is m= -1 (by comparing equation (2) and (3).

Therefore, both lines are parallel to each other.Thus, never meet ech other so, the equation has no solution.

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On a coordinate plane, an absolute value graph has a vertex at (1, negative 2.5). The graph shows the function f(x) = |x – h| + k. What is the value of k? k = –2.5 k = –1 k = 1 k = 2.5

Answers

9514 1404 393

Answer:

  (a)  k = –2.5

Step-by-step explanation:

When the function f(x) is transformed to f(x -h) +k, the graph is translated h units right and k units up.

If the absolute value function has its original vertex of (0, 0) moved to (1, -2.5), then (h, k) = (1, -2.5).

The value of k is -2.5.

_____

Additional comment

The above answer applies to the given problem statement. The question asked in the comment has a vertex of (0, 2.5), so (h, k) = (0, 2.5) for that question.

If you're going to copy the answer, make sure it is the answer to the question you're looking at.

In an absolute value function expressed as f(x) = |x – h| + k, the value of k corresponds to the y-coordinate of the function's vertex. In this case, as the vertex is at the point (1, -2.5), the value of k is -2.5.

The student's question relates to the concepts of Two-Dimensional (x-y). Graphing and the graphing of the absolute value function. It is vital to remember that the vertex of an absolute value graph in the form f(x) = |x – h| + k corresponds to the point (h, k) on the Cartesian coordinate plane. The student states that the vertex is at the point (1, -2.5), so based on our function analysis, the value of k, which represents the y-coordinate of the vertex, is -2.5. Therefore, the correct answer is k = -2.5.

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please help meeeee and I am stuck on this question

Answers

Answer:

b = 3

Step-by-step explanation:

the area of the parallelogram is 7*b, since we know it is 21, b = 3.

The Square root of 8^2 -7^2
The answer is the square root of 15

What is the area of the rectangle, in square centimeters? A rectangle with length 12 centimeters and width 5 centimeters. 17 34 30 60

Answers

The answer is 60cm^2

solve for
3x + 12= -12

Answers

Answer:

x = -8

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 12 from both sides:

3x + 12 (-12) = -12 (-12)

3x = -12 - 12

3x = -24

Next, divide 3 from both sides:

(3x)/3 = (-24)/3

x = -24/3

x = -8

x = -8 is your answer.

~

Answer:

x = -8

Step-by-step explanation:

3x + 12= -12

3x = -24

x = -24/3

x = -8

More Information From the Online Dating Survey A survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating (either an online dating site or a dating app on their cell phone). 55- to 64-year-olds The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating. If we use this sample to estimate the proportion of all American adults ages 55 to 64 to use online dating, the standard error is 0.016. Find a 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating. Round your answers to three decimal places. The 90% confidence interval is Enter your answer; The 90% confidence interval, value 1

Answers

Answer:

90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].

Step-by-step explanation:

We are given that a survey conducted in July 2015 asked a random sample of American adults whether they had ever used online dating.

The survey included 411 adults between the ages of 55 and 64, and 50 of them said that they had used online dating.

Firstly, the pivotal quantity for 90% confidence interval for the population proportion is given by;

                                P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of adults who said that they had used online dating =  [tex]\frac{50}{411}[/tex]  = 0.122

n = sample of adults between the ages of 55 and 64 = 411

p = population proportion of all US adults ages 55 to 64 to use online dating

Here for constructing 90% confidence interval we have used One-sample z proportion statistics.

So, 90% confidence interval for the population proportion, p is ;

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5% level

                                                  of significance are -1.645 & 1.645}  

P(-1.645 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.645) = 0.90

P( [tex]-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90

P( [tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90

90% confidence interval for p = [[tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex], [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]

= [ [tex]0.122-1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] , [tex]0.122+1.645 \times {\sqrt{\frac{0.122(1-0.122)}{411} } }[/tex] ]

 = [0.095 , 0.148]

Therefore, 90% confidence interval for the proportion of all US adults ages 55 to 64 to use online dating is [0.095 , 0.148].

Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 444 classical songs, 333 rock songs, and 222 rap songs on it. Chen is going to listen to 360360360 songs.
What is the best prediction for the number of times Chen will listen to a classical song?

Answers

Answer:

160160160 times

Step-by-step explanation:

(444/999)360360360=160160160

Answer:

its d

Step-by-step explanation:

its d

The sum of 3 consecutive integers is 60. What is the value of the third integer?

Answers

Answer:

x=19

Step-by-step explanation:

The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.

So,  the equation is x+x+1+x+2=60

Solve:

x+x+1+x+2=60

3x+3=60

Subtract 3 on both sides:

3x+3-3=60-3

3x=57

Divide by 3

3x/3=57/3

x=19

Please help me with the math question

Answers

Answer:

neither even nor odddegree 5LC negativeroots {-6, -4, 0, 2, 3}

Step-by-step explanation:

The function's graph is not symmetrical about the origin, so it is not an odd function. It is not symmetrical about the y-axis, so is not an even function.

The function is neither even nor odd.

There are 5 zero-crossings and no places where y=0 and the graph does not cross. This means the function is of degree 5, at least.

The general shape of the function is down and to the right, so the sign of the function for large values of x is opposite the sign of x. The leading coefficient must be negative.

As we noted, there are 5 zero-crossings. These are the real roots. They are found at x-values in the set {-6, -4, 0, 2, 3}.

Find the perimeter of a triangle with these vertices (5,1),(-2,1),(-2,-4)

Answers

Answer:

  12+√74 ≈ 20.60

Step-by-step explanation:

The side lengths of this right triangle are 5 and 7 units, so the length of the hypotenuse is ...

  b² = a² +c² = 5² +7² = 74

  b = √74

The perimeter is ...

  P = a + b + c = 5 + √74 + 7

  P = 12+√74 ≈ 20.60

An oblique prism has a base area of 3x2 square units. An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5. What expression represents the volume of the prism, in cubic units? 15x2 24x2 36x2 39x2

Answers

Answer: 36x^2

Step-by-step explanation:

just took eg quiz

The expression represents the volume of the prism, in cubic units is

39x². (Option D) This is because the formula for the volume of a prism is: V = Bh

What is a prism?

Any 3-dimensional shape with two identical shapes facing each other is called a Prism.

Recall that the oblique prism is described as having a base area of 3x², If the height is 13 (that is the distance between the top of the quadrilateral and the bottom) hence,

V = 3x² * 13

V = 39x², therefore, Option D is the correct answer.

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a classmate says the first step to solve the equation 12(3g-9)=99 is to add to both sides do you agree

Answers

Answer:

No

Step-by-step explanation:

[tex]12(3g - 9) = 99 \\ 36g - 108 = 99 \\ 36g = 99 + 108 \\ 36g = 207 \\ \frac{36g}{36} = \frac{207}{36} \\ g = 5.75[/tex]

En un mapa, 1 cm medido en el papel representa a 100 km

a. que distancia en la realidad habrá entre dos puntos que en el papel distan 3,3 cm?

b. que distancia en el papel habrá si en la realidad hay 1 800 km
porfa respondan

Answers

Don’t understand what you are saying

What is the quotient? Will give brainliest and will report absurd answers.

Answers

Answer:

D

Step-by-step explanation:

When dividing fractions, multiply the first number by the reciprocal of the second number

2/5 ÷ 1/3

First, find the reciprocal of the second number: 1/3

To find the reciprocal, flip the numerator (top number) and denominator (bottom number)

1/3-->3/1

Now, multiply 2/5 and 3/1

2/5 * 3/1

Multiply across the numerators and denominators

6/5

A right rectangular prism with square bases has a height of 20cm and a volume of 800 cubic centimeters. Which statements describe the prism?

Answers

Answer:

The area of the rectangular prism is 40cm²

Step-by-step explanation:

To calculate the volume of a rectangular prism we have to use the following formula:

a = area

v = volume  = 800 cm³

h = height  = 20 cm

v = a * h

we replace the values that ​​we know        

800cm³  = a * 20cm

800cm³  / 20cm = a

40cm² = a

v = 70ft³

The area of the rectangular prism is 40cm²

The Pew Research Center reported in 2018 that 68% of U.S. adults rated "reducing health care costs" as a national priority. This year a survey is conducted with a national sample of 1,505 U.S. adults selected by a combination of landline and cell phone random digit dials. This year's survey finds that 70% of the sample says that "reducing health care costs" is a national priority.

We test the following hypotheses:

H0: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is still 0.68.
Ha: The proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68.

The P-value is 0.045. At a 5% significance level, we would reject the null hypothesis and concluded that the proportion of U.S. adults this year who rate "reducing health care costs" as a national priority is greater than 0.68.

Explain the P-value in the context of this issue.

Answers

Final answer:

A P-value of 0.045 suggests that there is a 4.5% chance of observing a sample proportion as extreme as 70% or more, assuming the null hypothesis is true. If the P-value<0.05 (usually considered a threshold), we typically reject the null hypothesis - here, indicating that more than 68% consider health care cost reduction a national priority.

Explanation:

In statistics, a P-value is a probability that provides a measure of the evidence against the null hypothesis (H₀). A P-value of 0.045, as given in this instance, indicates that if the null hypothesis were true (i.e., 68% of U.S. adults still consider reducing health care costs a national priority), there is only a 4.5% probability of observing a sample proportion as extreme as 70% or more.

Commonly, a threshold (α) is set at 0.05 or 5%. If the P-value is less than α (which it is in this case, 0.045 < 0.05), we reject the null hypothesis in favor of the alternative hypothesis. Consequently, we conclude there is sufficient evidence to suggest that the proportion of U.S. adults this year who rate 'reducing health care costs' as a national priority is higher than 68%.

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Final answer:

The P-value of 0.045 provides statistically significant evidence to reject the null hypothesis and support the alternative hypothesis that the proportion of U.S. adults who rate 'reducing healthcare costs' as a national priority has increased from the previous 68%.

Explanation:

In the context of this issue, the P-value of 0.045 represents the probability of observing a sample proportion as extreme as 70%, or more, given that the null hypothesis is true - the null hypothesis being that the true proportion of U.S. adults who rate 'reducing healthcare costs' as a national priority is 68%.

If the P-value is less than or equal to the significance level (in this case, 5% or 0.05), we reject the null hypothesis. Since 0.045 is indeed less than 0.05, we reject the null hypothesis, supporting the alternative hypothesis that the proportion of U.S. adults who view reducing healthcare costs as a national priority is greater than 68%.

Therefore, the P-value of 0.045 suggests there is statistically significant evidence to conclude that the perception of 'reducing healthcare costs' as a national priority has increased amongst U.S. adults recently.

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When measuring miles using a telescope, surveyors made an error of 6.5 feet per mile. If the total error was 55.25 feet, how
many miles were measured?
A 8.5
B
48.75
C
61.75
D
359.125

Answers

A. 8.5. If you divide 55.25 feet by 6.5 feet, you get 8.5 miles.

A. 8.5.

55.25 feet / 6.5 feet = 8.5 miles.

what is a telescope?

A telescope is an optical tool using lenses, curved mirrors, or a combination of both to look at distant objects, or various devices used to look at distant objects by means of their emission, absorption, or reflection of electromagnetic radiation.

There are three main types of telescope. These are

refracting telescopes, Newtonian telescopes and Schmidt-Cassegrain telescopes

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If a basketball player makes 2 baskets for every 5 shots and he keeps getting baskets at the same rate, how many baskets will he get if he takes 100 shots?

Answers

Answer:

i thinl it would be 200 or 1000

The graph for the equation y = x minus 4 is shown below.

On a coordinate plane, a line goes through (0, negative 4) and (4, 0).

Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
y minus x = negative 4
y minus x = negative 2
y minus 4 = x
y + 4 x = 1

Answers

Answer:

The answer is y minus x = negative 4

Step-by-step explanation:

An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in which they should be read. He has narrowed down his choices to 19 novels, 22 plays, and 22 nonfiction books. If he wants to include an equal number of novels, plays, and nonfiction books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.

Answers

Answer:

The total number of reading schedules is [tex]83.3927415552\cdot 10^{13}[/tex]

Step-by-step explanation:

Recall that if we have n elements, the number of ways in which we can choose k elements without minding the order is [tex]\binom{n}{k}=\frac{n!}{(n-k)! k!}[/tex].

At first, suppose that we have already chosen 9 books. If we want to number the order in which we are reading this books from 1 to 9, for position 1 we have 9 options, for position 2, we have 8 and so on. Using the multiplication principle, we have that the number of ways or arranging 9 books is 9!

Recall that we want the same amount from novels, plays and nonfiction. That is, we are choosing 3 books from each group. We can easy calculate the total number of ways of choosing the 9 books by simply multiplying the number of ways we choose 3 from each cathegory. Hence the total number of ways of choosing the 9 books is

[tex]\binom{9}{3}\cdot \binom{22}{3}\cdot \binom{22}{3}[/tex]

For each selection of 9 books, we have 9! different ways of organizing them, then the total number is

[tex]\binom{9}{3}\cdot \binom{22}{3}\cdot \binom{22}{3}\cdot 9! = 83.3927415552\cdot 10^{13}[/tex]

Enzo is studying the black bear population at a large national park. He finds that the relationship between the elapsed time (t), in years, since the beginning of the study, and the black bear population B(t) in the park is modeled by the following function:
B(t) = 2,500×2^0.01t
According to the model, what will the black bear population be at that national park in 25 years?

Answers

according to the model, the black bear population at the national park after 25 years will be approximately 2,973.

To find the black bear population at the national park after 25 years using the given function [tex]\( B(t) = 2,500 \times 2^{0.01t} \)[/tex], we substitute [tex]\( t = 25 \)[/tex] into the function:

[tex]\[ B(25) = 2,500 \times 2^{0.01 \times 25} \][/tex]

[tex]\[ B(25) = 2,500 \times 2^{0.25} \][/tex]

[tex]\[ B(25) = 2,500 \times 2^{1/4} \][/tex]

[tex]\[ B(25) = 2,500 \times \sqrt[4]{2} \][/tex]

Now, let's compute the value:

[tex]\[ B(25) = 2,500 \times 1.1892 \][/tex]

[tex]\[ B(25) \approx 2,973 \][/tex]

Therefore, according to the model, the black bear population at the national park after 25 years will be approximately 2,973.

Consider the different impacts that these two aspects of statistics will have on your role as an engineer. Discuss how these two branches of statistics will provide different capabilities and impacts in your engineering discipline. Provide an example of an area where you might use descriptive statistics to better understand a variable, as well as an example of an area where inferential statistics might be needed to draw some conclusion from a set of variables data that you have. Do you see both descriptive and inferential statistics being necessary for your future success as an engineer

Answers

Answer:

Check the explanation

Step-by-step explanation:

Key Differences Between Descriptive and Inferential Statistics:

The difference between descriptive and inferential statistics can be drawn clearly on the following grounds:

Descriptive Statistics is a discipline which is concerned with describing the population under study. Inferential Statistics is a type of statistics; that focuses on drawing conclusions about the population, on the basis of sample analysis and observation.

Descriptive Statistics collects, organised, analyzes and presents data in a meaningful way. On the contrary, Inferential Statistics, compares data, test hypothesis and make predictions of the future outcomes.

There is a diagrammatic or tabular representation of final result in descriptive statistics whereas the final result is displayed in the form of probability.

Descriptive statistics describes a situation while inferential statistics explains the likelihood of the occurrence of an event.

Descriptive statistics explains the data, which is already known, to summaries sample. Conversely, inferential statistics attempts to reach the conclusion to learn about the population; that extends beyond the data available.

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of descriptive statistics is the following statement :

"80% of these people have the last name Nicolussi."

Ex. Of 350 randomly selected people in the town of Luserna, Italy, 280 people had the last name Nicolussi. An example of inferential statistics is the following statement :

"80% of all people living in Italy have the last name Nicolussi."

We have no information about all people living in Italy, just about the 350 living in Luserna. We have taken that information and generalized it to talk about all people living in Italy. The easiest way to tell that this statement is not descriptive is by trying to verify it based upon the information provided.

Answer:

The question is incomplete, the complementary part is left on the graph and the requested ones are answered

Differences between inferential and descriptive statistics:

1. We know that in descriptive statistics the main objective is only to describe data from the population, in inferential what is sought is to analyze data to draw conclusions from them

2. In descriptive statistics, the process involves collecting information, organizing it, and displaying data that are relevant or significant. In inferential statistics, the data is taken and processed to evaluate hypotheses and draw conclusions regarding future results.

3. the representation in the descriptive statistics is made by means of diagrams or tabulations and the result in the inferential one is given in probability

4. When we have a situation, descriptive statistics allows us to describe it and, in inferential, we obtain the probability that the event will occur.

descriptive statistics is based on known data, inferential it is intended to project future situations, which allows with all the previous answers to generate an important panorama for the development of engineering and its true application in a real field

-. an example is the following

Of 350 people taken at random in Madrid, Spain, 280 had the surname Martinez, we can take this situation to the descriptive statistic as follows:

80% of people carry the surname Martinez

We have, then, the result of a small sample of a city, not of the entire population of Spain, so the result has been generalized and we refer to a country from a small sample, however we must verify it and take it to a statistic inferential

PLEASE HELP ME
I DONT UNDERSTAND

Answers

Answer: its letter A

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

This is pretty simple, the three angles inside the triangle equal to 180 degrees, so if you add 80 and 65 and subtract that from 180, you get 35. So two angles that are connected to a single line equal to 180, so you just subtract 35 from 180 to get 145. Therefore, <1 = 145.

A 40% antifreeze solution is to be mixed with a 70% antifreeze solution to get 240 liters of a 64% solution. How many liters of the 40% and how many liters of the 70% solutions will be used?

Answers

Answer:

We have 40% antifreeze and 70% antifreeze and we need to make 240 liters of 64% antifreeze.

We set up 2 equations where "f" is the 40 % and "s" is the 70%

A) f + s = 240

B) .40f + .70s = (.64 * 240) (or 153.6)

To solve both equations we multiply A) by -.40

A) -.40 f  - .40 s = -96.00   then we add this to B)

B) .40f + .70s = 153.60

.30s = 57.6

s = 192

f = 48

48 liters of 40% = 19.20 liters of antifreeze

192 liters of  70% = 134.40 liters of antifreeze

That equals 153.60 liters of antifreeze in a TOTAL liquid amount of 240 liters.

Double Check

153.60 / 240 = 64% antifreeze.

Step-by-step explanation:

Identify which statement about the mean of a discrete random variable is not true or state that they are all true.Choose the correct answer below.A.The mean can be interpreted as the average outcome if the experiment is repeated many times.B.The mean must be a possible value of the random variable.C.The mean can be found using the formula Summation from nothing to nothing x times Upper P (x ).D.All of these statements are true.

Answers

Answer:

A, C are true .  B is not true.

Step-by-step explanation:

Mean of a discrete random variable can be interpreted as the average outcome if the experiment is repeated many times. Expected value or average of the distribution is analogous to mean of the distribution.

The mean can be found using summation from nothing to nothing x times Upper P (x) , i.e ∑x•P(x).

Example : If two outcomes 100 & 50 occur with probabilities 0.5 each. Expected value (Average) (Mean) : ∑x•P(x) = (0.5)(100) + (0.5)(50) = 50 + 25 = 75

The mean may not be a possible value of the random variable.

Example : Mean of possible no.s on a die = ( 1 + 2 + 3 + 4 + 5 + 6 ) / 6 = 21/6 = 3.5, which is not a possible value of the random variable 'no. on a die'

Final answer:

The correct answer is statement B, 'The mean must be a possible value of the random variable'. This claim is incorrect because the mean of a discrete random variable, calculated as the expected value, does not necessarily have to be a possible value of the variable.

Explanation:

In the given options, the only statement about the mean of a discrete random variable that is not true is 'B. The mean must be a possible value of the random variable.' The mean or expected value of a discrete random variable is calculated as the sum of all possible values each multiplied by their respective probabilities (Statement C). The expected value or mean can indeed be interpreted as the average outcome if the experiment is repeated many times (Statement A), but it does not necessarily need to be an exact outcome or possible value of the random variable.

This is especially true for distributions such as the binomial and Poisson distributions, where the calculation of the mean relies on the probability of events and does not have to align with specific outcomes. Hence, the statement 'B. The mean must be a possible value of the random variable' is incorrect.

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You are given a bag with 8 green marbles, 6 blue marbles, 14 yellow marbles, and 12 red marbles. Find the theoretical probability of each random event. (Enter your probabilities as fractions.)

(a) Drawing a green marble

(b) Drawing a red marble

(c) Drawing a marble that is not yellow

Answers

a) 8/40 = 1/5
b) 12/40 or 6/20
c) 26/40 or 13/20

The theoretical probability of drawing a green marble is 1/5, a red marble is 3/10, and a marble that is not yellow is 13/20 from a bag of 40 marbles with varying colors.

The question involves calculating the theoretical probability of drawing certain colored marbles from a bag with a mixed collection of marbles. To find the probability of each event, we can use the formula P(event) = Number of favorable outcomes / Total number of outcomes.

Drawing a green marble: There are 8 green marbles out of a total of 40 marbles. So, P(green) = 8/40 = 1/5.

Drawing a red marble: There are 12 red marbles out of a total of 40 marbles. So, P(red) = 12/40 = 3/10.

Drawing a marble that is not yellow: There are 26 marbles that are not yellow (8 green, 6 blue, and 12 red) out of a total of 40 marbles. So, P(not yellow) = 26/40 = 13/20.

Use the triangle shown to find the ratios.


cos(A) =

tan(C) =

Triangle A B C is shown. Angle A B C is a right angle. The length of A B is 10 feet, the length of C B is 24 feet, and the length of hypotenuse A C is 26 feet.

Answers

Answer:

cos (A)  =5/13

tan (C) =5/12

Step-by-step explanation:

The triangle for the problem is produced and attached.

cos (A)=Adjacent/Hypotenuse

cos (A) = 10/26 =5/13

Similarly,

tan (C)=Opposite/Adjacent

tan (C)=10/24 =5/12

Answer:

Cos(A) = 5/13 or 10/26

Tan(C) = 5/12 or 10/24

Step-by-step explanation:

I did it on edge :)

A school administrator tells everyone in the building that they will be having a fire drill randomly sometime during the school day which is from 8 a.m. to 3 p.m. If second period is from 9:20 a. m. to 10:10 a.m., what is the probability of the fire drill happening during second period?

Answers

Answer: I think the answer is 11.9% , because I had this on a quiz and this was the same question.

Step-by-step explanation:

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