The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?

Answers

Answer 1

Answer:

Step-by-step explanation:

4 h × (70 mi)/h = 280 mi

280 mi × (1 h)/(50 mi) = 5.6 h

Answer 2

The time taken by him to arrive at City B will be 5.6 hours.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.

V x T = Constant

The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.

Let 't' be the time. Then the equation is given as,

t x 50 = 4 x 70

50t = 280

t = 280 / 50

t = 28 / 5

t = 5.6 hours

The time taken by him to arrive at City B will be 5.6 hours.

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Related Questions

PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?

Answers

Answer:

25 nickle and 30 quarters

Step-by-step explanation:

30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it

Answer:

25 nickels 30 quarters

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?

Answers

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

[tex]0.1n = 5[/tex]

[tex]n = \frac{5}{0.1}[/tex]

[tex]n = 50[/tex]

John answered 50 questions.

Can u help me please

Answers

Im pretty sure its D

Answer:

The answer is D

Step-by-step explanation:

1 point
Question 8) What is the value of
the digit 2 in the number 48.621?

2/100
2/10
2
200
options
O
Ο Ο
O​

Answers

9514 1404 393

Answer:

  (a)  2/100

Step-by-step explanation:

To determine the value of a digit, set all other digits to zero. Your digit has a value of ...

  0.020  . . .  two hundredths = 2/100

Answer:

2/10

Step-by-step explanation:

To use ASA to prove that SEA= PEN, one must show that _____ by the vertical angle theorem.

Answers

Answer:

B

the answer for ur question is:

the answer for ur question is:B

the cost of an airplane flight increases from $250 to $295.
what is the percentage increase?

Answers

The answer to your question is 18% increase

What is greater than 525.06 but less than 525.6?

Answers

The answer is 525.60 love

need help like every time :{

Answers

Answer:

I need free points but all ik is the -4 needs to be divided by 4 then u have 5g+14=5g/-1

Step-by-step explanation:

step 1: multiply both sides:
20g + 56 = 5g - 4
step 2: move the terms
20g - 5g = -4 -56
step 3: collect like terms and calculate
15g = -60
step 4: divide both sides
g = -4
a good app for help with solving equations is photomath! it shows you the solving steps, hope this helps!

What is 100x100000000000000000000000000000000000. Show work

Answers

Answer:

1e + 37

Step-by-step explanation:

the work is to much!

Joel is planning to pack 5 shirts and 2 pairs of pants for a weekend trip. If he has 11 shirts and 6 pairs of pants to choose from,
in how many different ways can this be done.

Answers

Answer:

5/11 shirts

2/6 pants

he has 67 different ways i think

In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?

Answers

Answer: 16.1

Step-by-step explanation:

|x|=5

Solve for x

|x| = -5

Solve for x

Answers

Answer:

Step-by-step explanation:

For |x|=5, x can be either 5 or -5.

For |x|=-5, absolute value cannot be negative, so it is no solutions.

10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of polymer B, and 32 fibers of polymer C. a. What is the probability that the sample does not contain any fibers of polymer B

Answers

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that [tex]N = 92[/tex]

Sample of 10 means that [tex]n = 10[/tex]

No polymeter B which means that [tex]x = 0[/tex]

17 fibers of polymeter B which means that [tex]k = 17[/tex]

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150[/tex]

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

The probability that the sample does not contain any fibers of polymer B is 0.123

The given parameters are:

n = 92

A = 43

B = 17

C = 32

The probability of selecting a sample that contains polymer B is:

[tex]p = \frac{17}{92}[/tex]

[tex]p = 0.185[/tex]

Using binomial probability, we have:

[tex]P(x) = ^nC_x * p^x *(1 - p)^{n -x}[/tex]

The probability that a selection of 10 fibers do not contain polymer B is then calculated as:

[tex]P(0) = ^{10}C_0 * 0.185^0 *(1 - 0.185)^{10 -0}[/tex]

This gives

[tex]P(0) = 1 * 1 *(0.815)^{10}[/tex]

Evaluate the product

[tex]P(0) = 0.123[/tex]

Hence, the probability that the sample does not contain any fibers of polymer B is 0.123

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What is the area of this figure?

Enter your answer as a decimal

Answers

Answer:

176.00 cm^2

Hope you got the answer.

i need help on math plz help me fast

Answers

Answer:

The smaller shape has 84% of the larger shape's area.

Step-by-step explanation:

Larger shape: 15 × 12 = (12 × 3) + (12 × 12) = 36 + 144 = 150 + 30 = 180

Smaller shape: 6 × 4.8 = (6 × 4) + (6 × 0.8) = 24 + 4.8 = 28.8

The percent difference is the absolute value of the quotient of the difference between the new value and the original value divided by the original value and then all multiplied by 100. (percentages are really just a fraction of 100)

[tex]|\frac{28.8-180}{180}|*100=|\frac{-151.2}{180}|*100=|-0.84|*100=0.84*100=84[/tex]

% difference = 84%

Hope this helps! Have a great day!

l4legitv3, I know you're really mad at me for getting your alternate account banned. I'm sorry. I only did that because you were acting rude, and I don't like that. I'm tired of being chased all over the place for getting someone banned. I'm willing to become your friend if you'll stop reporting me for that incident. Let's put the past in the past, 'kay?

Find the values of x and y
help me plz!!

Answers

Answer:

24=5y+3y

8y=24

y=3

x+x+9y+5=90

2x+9(3)+5=90

2x=58

x=29

Step-by-step explanation:

how math is calculated in our everyday life?​

Answers

Answer:

We use math when cooking

Step-by-step explanation:

Answer:

We can use our brains, calculators, and in everyday situations such as cooking, paying for items, etc.

Step-by-step explanation:

For example, if you purchase something at a grocery store, there will be change and you have to calculate the correct amount.

Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?

Answers

Draw a line that starts at 5.75 and ends at 12.99

A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.

Answers

Answer:

$5350

Step-by-step explanation:

ANSWER ASAP!!!!!!!!!!!!!!!

Answers

Answer:

linear and increasing

Step-by-step explanation:

uwu

Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† If you want to provide your child with 340 calories and 75 grams of carbohydrates, how many servings of each should you use?

Answers

Answer:

2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

Step-by-step explanation:

Given that Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates, while Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates, and you want to provide your child with 340 calories and 75 grams of carbohydrates, in order to how many servings of each you should use, the following calculation has to be made:

(80 x 5) + (60 x 0) --- (21 x 5) + (11 x 0) = 400 --- 105

(80 x 4) + (60 x 1) --- (21 x 4) + (11 x 1) = 380 --- 95

(80 x 3) + (60 x 2) --- (21 x 3) + (11 x 2) = 360 --- 85

(80 x 2) + (60 x 3) --- (21 x 2) + (11 x 3) = 340 --- 75

Therefore, 2 servings of Gerber Mixed Cereal for Baby and 3 servings of Gerber Mango Tropical Fruit Dessert should be used.

Can someone help me please im so confused

Answers

Answer:

it is either the dice or the cups

Step-by-step explanation:

Answer:

cups

Step-by-step explanation:

i might be wrong

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week. A graph shows Hours Spent Studying on x axis and Test Score on y axis .The graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 100 at increments of 10. The ordered pairs 0, 21 and 0.8, 32 and 1.2,35 and 1.5,39 and 2.1, 42 and 2.3,45 and 2.5,49 and 2.7, 50 and 3, 67 and 4.6, 56 and 5, 69 and 5.3,70 and 5.7,74 and 6.4,78 and 7.2,80 and 7.5,84 and 8.5,88 and 8.7,92 and 9.5,96 are shown on the graph. What will most likely happen to the test scores of students if the number of hours they study increases? Test scores will increase because the graph shows a negative association. Test scores will increase because the graph shows a positive association. Test scores will decrease because the graph shows a positive association. Test scores will decrease because the graph shows a negative association.

Answers

Answer:

Test scores will increase because the graph shows a positive association.

Step-by-step explanation:

Since it is going upwards to the right instead of going downwards and for the people who steady more hours they get better scores on there test.

btw i just took it and got it right

From given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

What is scatter plot?

"A type of data representation that shows the relationship between two numerical variables. "

What is positive association?

"When the values of one variable tend to increase as the values of the other variable increase, then two variable have positive association."

What is negative association?

"When the values of one variable tend to decrease as the values of the other variable increase, then two variable have negative association."

For given question,

The scatter plot shows the test scores of a group of students who studied for different amounts of time in a week.

A scatter plot shows Hours Spent Studying on x axis and Test Score on y axis .

Also we have been given the ordered pairs

(0, 21), (0.8, 32), (1.2, 35),  (1.5, 39), (2.1, 42), (2.3, 45) and (2.5, 49) and   (2.7, 50) and (3, 67) and (4.6, 56) and (5, 69) and (5.3, 70) and (5.7, 74) and (6.4, 78) and (7.2, 80) and (7.5, 84) and (8.5, 88) and (8.7, 92) and (9.5, 96)

From the given data points of scatter plot,

as x - value increases, y - value also increases.

This means,  if the number of hours they study increases, the test scores will increase.

Here, the values of one variable tend to increase as the values of the other variable increase.

This means, there is positive association in variables Hours Spent Studying and Test Scores.

Therefore, from given scatter plot, if the number of hours they study increases then the test scores will increase because the graph shows a positive association.

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What is the square root of 25

Answers

Answer:

5

Step-by-step explanation:

5 square, which means 5 multiplied by 5 gives you 25

Answer:

the square root of 25 is 5

Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to make judgments about the frequency of errors to be found in an audit. The judgments by the auditors were then compared to the actual results. The data are contained in the Excel Online file below. Suppose the data were obtained from a similar study; lower scores indicate better judgments.
Direct Indirect Combination
17.0 16.6 25.2
18.5 22.2 24.0
15.8 20.5 21.5
18.2 18.3 26.8
20.2 24.2 27.5
16.0 19.8 25.8
13.3 21.2 24.2
Construct a spreadsheet to answer the following questions. Open spreadsheet Use to test to see whether the basis for the judgment affects the quality of the judgment. The -value is (to 2 decimals) . The exact -value is (to 4 decimals) .
What is your conclusion?

Answers

Solution :

         Direct          Indirect           Combination

1          17                  16.6                    25.2

2        18.5                22.2                    24

3        15.8                20.5                    21.5

4        18.2              18.3                       26.8

5        20.2             24.2                      27.5

6        16                   19.8                     25.8

7        13.3                21.2                      24.2

n         7                     7                           7

[tex]$\bar X$[/tex]        17                   20.4                      25

s         2.238            2.501                      2.002

[tex]$\bar X_{avg}$[/tex]   20.8              

Source               df           SS              MS                F          P-value

treatments        2        225.680     112.840      22.1593    0.000

error                  18        91.660       5.092

total                   20       317.340

The test hypothesis is :

[tex]$H_0$[/tex] : the basis for the judgement does not affects the quality of the judgment.

[tex]$H_a$[/tex] : the basis for the judgement affects the quality of the judgement.

Given a = 0.05, since the p-value is less than 0.05, so we reject [tex]$H_0$[/tex].

Therefore, the basis for the judgement affects the quality of the judgement.

Sameer woke up one morning and saw frost on the windows. It was -7°C outside. Later in the day, the frost melted. At 3 p.m. it was 2°C outside. Which expression represents the difference between the two temperatures?

Answers

Answer:

[tex]d = 9[/tex]

Step-by-step explanation:

Given

[tex]Morning = -7^{\circ}C[/tex]

[tex]Afternoon = 2^{\circ}C[/tex]

Required

What represent the difference

The expression that represents the difference (d) are:

[tex]d = |Morning - Afternoon|[/tex]

Substitute values for Morning and Afternoon

[tex]d = |-7 - 2|[/tex]

[tex]d = |-9|[/tex]

[tex]d = 9[/tex]

Which is the value of this expression when =-
=-2
and G=-1?
(602)19-3)?:(6091629)
A
-4
16
16
4

Answers

Answer:

-4 is the correct answer

Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:


Part A: What is the standard deviation of the sampling distribution of x? Show your work

Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.

Answers

Answer:

Step-by-step explanation:

The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula. 

                  The standard deviation of the sampling distribution of the means is 2.656. 

With a new population standard deviation of 2.8, the sampling size, n, is 9. 

Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18

Answers

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

What is an Equation?

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

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PLS HELP ITS DUE IN 6 MINUTES (Determine the sale price after including and 8.25% sales tax. $18.99 CD; 15% discount )

Answers

Answer:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Step-by-step explanation:

1. 23.52861

2. 164.374

3. 39.235

4. 1485.148

5. 593.7288

Other Questions
Mr. Dunbar takes his wife out to dinner at Macados to celebrate the holidays. Their total bill was $48.36 but he had a coupon to save 15% off. He had a great waitress so he planned to leave a 25% tip. How much did Mr. Dunbar spend to take his wife out for dinner? Describe how epinephrine has different effects in different target tissues En el siguiente verso son los prncipes amigos ! cul es el objetivo que califica a "amigos "? cual es la intencin del emisor al llamarlos asi? a = 9 and b = 2Work out the value of is 0.12 greater than 0.9? The following Information applies to the questions displayed below.) Bargain Rental Car offers rental cars in an off-airport location near a major tourist destination in California. Management would like to better understand the variable and fixed portions of It car washing costs. The company operates its own car wash facility in which each rental car that is returned is thoroughly cleaned before being released for rental to another customer. Management belleves that the variable portion of its car washing costs relates to the number of rental returns. Accordingly, the following data have been compiled: Month Rental Returns Car Wash CostsJanuary 2,380 $ 10,825February 2,421 $ 11,865March 2,586 $ 11,332 April 2725 $ 12422May 2968 $ 13850 June 3281 $ 14419July 3,353 $ 14,935August 3,489 $ 15,738September 3,057 $ 13,563October 2,876 $ 11,889November 2,735 $ 12,683December 2,983 $ 13,796 Using least-squares regression, estimate the variable cost per rental return and the monthly fixed cost Incurred to wash cars. (Round Fixed cost to the nearest whole dollar amount and the Varlable cost per unit to 2 decimal places.) Does practice or natural talent matter more to success? Explain your answer. Write an informative paragraph on the different types of sacrifices If the sum of two numbers is 5 and their product is 6 then find the sum of the square of the numbers ?PLEASE HELPPPPP........ Please help thank uu Hola! Mi nombre es Marina y vivo en Colombia. Tengo 15 aos y estoy en la escuela superior. En Colombia, la escuela superior tiene cuatro rutas diferentes:Los programas tcnicos (12 aos)Los programas tecnolgicos (3 aos)Los programas docentes (45 aos)Los programas profesionales (45 aos)Yo estudio en el programa tcnico. Quiero ser agricultora porque me encantan los animales y me gusta la comida saludable como las frutas y verduras. Cuando terminas los dos aos del programa tcnico, puedes comenzar a trabajar inmediatamente. Hace dos aos que mi amigo Sal estudia una carrera en el programa tcnico tambin. l estudia cmo medir las calles y avenidas cuando quieren construir o poner nuevas carreteras. Puede empezar a trabajar en un mes.En las carreras profesionales necesitas estudiar ms que en las carreras tcnicas. Mi prima Anastasia estudia las computadoras en el curso tecnolgico. A ella le encanta la tecnologa.What career is Marina's friend going to start soon? (1 point) aAgricultor bAgrimensor cContable dIngeniero (x24x+9)(3x26x7) -3x-5=16what is x in the equation The holy scripture of Islam is : cells are to living things as ________ are to elementsatomsprotonsparticlesspecks 4. A lamp is connected to a 230 V mains supply. A current of 4 A flows through thelamp for 30 seconds.4.1 Write down the equation that links charge flow, current, and time. (1 mark) StandardExpandedWritten6000 + 900 + 10 + 5 Fill in the blank with the French word that best completes the sentence.Unefait "meuh meuh" (moo)O cochonO vacheO chevalchien Write anequation of a line with the given slope and y-intercept.m=-2, b=3 Barbara, a change manager, has good political skills. She has built a range of relationships across and outside the organization. These characteristics of Barbara are an example of the ___ dimension of political skill.