Answer:
Step-by-step explanation:
4 h × (70 mi)/h = 280 mi
280 mi × (1 h)/(50 mi) = 5.6 h
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.
More about the ratio and the proportion link is given below.
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|x|=5
Solve for x
|x| = -5
Solve for x
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.
need help like every time :{
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:
What is the area of this figure?
Enter your answer as a decimal
Answer:
176.00 cm^2
Hope you got the answer.
the cost of an airplane flight increases from $250 to $295.
what is the percentage increase?
Which is the value of this expression when =-
=-2
and G=-1?
(602)19-3)?:(6091629)
A
-4
16
16
4
Answer:
-4 is the correct answer
A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.
Answer:
$5350
Step-by-step explanation:
Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:
Part A: What is the standard deviation of the sampling distribution of x? Show your work
Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.
Answer:
Step-by-step explanation:
The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula.
The standard deviation of the sampling distribution of the means is 2.656.
With a new population standard deviation of 2.8, the sampling size, n, is 9.
Auditors must make judgments about various aspects of an audit on the basis of their own direct experience, indirect experience, or a combination of the two. In a study, auditors were asked to make judgments about the frequency of errors to be found in an audit. The judgments by the auditors were then compared to the actual results. The data are contained in the Excel Online file below. Suppose the data were obtained from a similar study; lower scores indicate better judgments.
Direct Indirect Combination
17.0 16.6 25.2
18.5 22.2 24.0
15.8 20.5 21.5
18.2 18.3 26.8
20.2 24.2 27.5
16.0 19.8 25.8
13.3 21.2 24.2
Construct a spreadsheet to answer the following questions. Open spreadsheet Use to test to see whether the basis for the judgment affects the quality of the judgment. The -value is (to 2 decimals) . The exact -value is (to 4 decimals) .
What is your conclusion?
Solution :
Direct Indirect Combination
1 17 16.6 25.2
2 18.5 22.2 24
3 15.8 20.5 21.5
4 18.2 18.3 26.8
5 20.2 24.2 27.5
6 16 19.8 25.8
7 13.3 21.2 24.2
n 7 7 7
[tex]$\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.
Find the values of x and y
help me plz!!
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:
To use ASA to prove that SEA= PEN, one must show that _____ by the vertical angle theorem.
Answer:
B
the answer for ur question is:
the answer for ur question is:B
how math is calculated in our everyday life?
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.
Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18
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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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
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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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?
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.
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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i need help on math plz help me fast
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?
ANSWER ASAP!!!!!!!!!!!!!!!
Answer:
linear and increasing
Step-by-step explanation:
uwu
What is 100x100000000000000000000000000000000000. Show work
Answer:
1e + 37
Step-by-step explanation:
the work is to much!
PLS HELP ITS DUE IN 6 MINUTES (Determine the sale price after including and 8.25% sales tax. $18.99 CD; 15% discount )
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
What is greater than 525.06 but less than 525.6?
Can someone help me please im so confused
Answer:
it is either the dice or the cups
Step-by-step explanation:
Answer:
cups
Step-by-step explanation:
i might be wrong
What is the square root of 25
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
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?
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]
PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?
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:
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?
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.
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
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
Im pretty sure its D
Answer:
The answer is D
Step-by-step explanation:
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.
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?
Answer: 16.1
Step-by-step explanation:
1 point
Question 8) What is the value of
the digit 2 in the number 48.621?
多
2/100
2/10
2
200
options
O
Ο Ο
O
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: