Answer: 5 1/4
Step-by-step explanation:
At a railway station, trains are either eastbound or westbound.
An eastbound train leaves the station every 25 minutes.
A westbound train leaves the station every 45 minutes.
An eastbound train and a westbound train both leave the station at 8 ar
When is the next time that two trains leave the station together?
If both bound trains leave together at 8, they will also start together at 11:45 the next time.
What is the LCM (least common multiple) of two numbers?The LCM of two numbers is the smallest possible number that is divisible by both of those two numbers. The prime factorization and the division methods are generally used to find the LCM.
An eastbound train leaves the station every 25 minutes whereas a westbound train leaves the station every 45 minutes.
These two types of trains will leave the station together if the time is divisible by both 25 and 45, that is, the LCM of them.
Find the LCM of 25 and 45 using the prime factorization method.
25=5×5
45=3×3×5
LCM(25,45)=3×3×5×5
=225
As 1 hour equals 60 minutes, it follows that 225 minutes equals 3 hours and 45 minutes.
If 3 hours 45 minutes is added to 8 hours, it will be 11 hours 45 minutes.
Therefore, the two trains leave the station together at 11 hours 45 minutes.
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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 240 + 30t^3; t = 1
Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates. Round your answers to one decimal place.)
The average rate of change of R(t) over the time intervals [t, t + h] , where t is as indicated and h = 1, 0.1, and 0.01 are 210,100 and 100.
What is Differentiation?
Finding a function's derivative, or rate of change, is the process of differentiation in mathematics. The practical approach of differentiation can be performed utilising only algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.
Given function : R(t) = 240 + 30t^3
R'(t) = 90 t²
So, the average rate of change of R(t) is 90 t² .
Now, over the time interval [t, t + h], it will be as follows:
we know that, f'(t) = {f(t+h) - f(t)} / h
So, when h = 1, f'(1) = {f(1+1) - f(1)} / 1
= f(2) - f(1)
= 480 - 270 = 210
when h = 0.1 , f'(1) = {f(1+0.1) - f(1)} / 0.1
= {f(1.1) - f(1)} / 0.1
= (280 - 270) / 0.1 = 100
when h = 0.01 , f'(1) = {f(1+0.01) - f(1)} / 0.01
= {f(1.01) - f(1)} /0.01
= (271 - 270) / 0.01 = 100
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To estimate the percentage of a state's voters who support the current governor for reelection, three newspapers each survey a simple random sample of voters. Each paper calculates the percentage of voters in its sample who support the governor and uses that as an estimate for the population parameter. Here are the results:
Answer:
No OK so A. is the correct answer I think
simplify each expression. 3x + 7 + 4x - 2
Answer: 3x+7+4x-2
Step-by-step explanation: 3x+4=7x
7-2=5
so the answer should be 7x+5
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
If you were to graph a sine function from the data listed in the table the days since Jan 8 is an independent variable and amount of moon visible is dependent variable
Given that, we have to graph a sine function from the data listed in the table
From the table we can see that there a two types of variables, The days since the Jan 8 and the amount of moon visible
The independent variable is defined as the variables that does not depends on any other variables
The dependent variable is defined as the variables that depends on other variables
Here the days since the Jan 8 does not depends on any other variables, so it is an independent variable. similarly the amount of moon visible depends on the days since Jan 8 value, so it is a dependent variable
Therefore, the days since Jan 8 is an independent variable and amount of moon light visible is dependent variable
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The given question is incomplete, the complete question is :
if you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
Please help Find the sum of each infinite sum
18, 2, 2/9, ...
the sum of each infinite geometric series sum is 36
Why is this process known as geometric progression?If the ratio between any two consecutive terms in a series of numbers is always the same, the progression is said to be geometric. The ratio of any two successive terms in the sequence (common difference) must be the same for the sequence 2, 4, 8, or 16 to be a general prime.
How can you calculate the infinite sum?S = a/1-r is a general formula for calculating the sum of an infinite geometric series, where s stands for the sum, a1 is the series first term, and r is the common ratio.
a = first term = 18
r = common ratio = 1/2
sum of Geometric progression
r< 1
S∞ = a/(1-r)
S∞ = 18/(1-1/2) =36
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See had some cherries. Every day he ate 10 cherries and gave 5 away. After he gave that last 5 cherries away he had eaten 40 cherries altogether. How many cherries did Seb have at the start?
50 must have been his starting number of cherries.
Seb had 50 cherries at the start. This can be determined by solving the equation 10x + 5 = 40, where x is the number of days he ate 10 cherries and gave 5 away. When you solve the equation, you get x = 5, meaning he did this 5 times. Since 10x is 50, and 5 is added to that, the total is 50. Therefore, Seb had 50 cherries at the start.
To solve the equation, you first need to subtract 5 from both sides to get 10x = 35. Then, divide both sides by 10 to get x = 3.5. Since Seb could not have eaten 3.5 days worth of cherries, it means that he did the 10 and 5 activity 4 times, giving him 40 cherries before giving away the last 5. So 40 + 5 = 45 and 10x = 50, so 50 must have been his starting number of cherries.
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URGENT URGENT
Pls this is needed urgently
1.) Common ailments of senior citizens are arthritis, arteriosclerosis and loss of hearing. A survey of 200 senior citizens found that 70 had arthritis, 60 had arteriosclerosis, 80 had loss of hearing, 35 had arthritis and arteriosclerosis, 33 had arthritis and loss of hearing, 31 had arteriosclerosis and loss of hearing and 15 had all three. How many of the senior citizens in the survey had; (1). none of these ailments, (f), arthritis but neither of the other two ailments, (iii), exactly one of these ailments, (iv). arteriosclerosis and loss of hearing but not arthritis, (v). arteriosclerosis or loss of hearing but not arthritis, (vi). exactly two of these ailments?
(i) none of these ailments, 26
(ii) arthritis but neither of the other two ailments, 17
(iii) exactly one of these ailments, 102
(iv) arteriosclerosis and loss of hearing but not arthritis, 16
We can use a Venn diagram to solve this problem.
Let A, B, and C represent the events of having arthritis, arteriosclerosis, and loss of hearing, respectively. Then, the given information can be represented as:
A = 70
B = 60
C = 80
A ∩ B = 35
A ∩ C = 33
B ∩ C = 31
A ∩ B ∩ C = 15
Using these values, we can find the answers to the questions:
(i) The number of senior citizens with none of these ailments is the complement of the union of A, B, and C. That is:
n(A ∪ B ∪ C)' = n(S) - n(A ∪ B ∪ C)
= 200 - (70 + 60 + 80 - 35 - 33 - 31 + 15)
= 26
Therefore, 26 senior citizens had none of these ailments.
(ii) The number of senior citizens with arthritis but neither of the other two ailments is:
n(A) - n(A ∩ B) - n(A ∩ C) + n(A ∩ B ∩ C)' = 70 - 35 - 33 + 15
= 17
Therefore, 17 senior citizens had arthritis but neither of the other two ailments.
(iii) The number of senior citizens with exactly one of these ailments is the sum of the complements of the intersections of the events. That is:
n(A' ∩ B ∩ C') + n(A ∩ B' ∩ C') + n(A' ∩ B' ∩ C) = (200 - 60 - 31 - 15 - 33) + (200 - 70 - 31 - 15 - 33) + (200 - 70 - 60 - 15 - 35) = 102
Therefore, 102 senior citizens had exactly one of these ailments.
(iv) The number of senior citizens with arteriosclerosis and loss of hearing but not arthritis is:
n(B ∩ C) - n(A ∩ B ∩ C) = 31 - 15 = 16
Therefore, 16 senior citizens had arteriosclerosis and loss of hearing but not arthritis.
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Thiago used the 20% off coupon and paid $100. Yasmine used the $20 off coupon. How much did she pay and how do you know?
Answer:
I suppose she also paid $100 because a 20% off from Thiago could mean that the original price was 120.
Step-by-step explanation:
The advertised price of a plasma tv is n99990 including vat at 5%. If the government raises vat to 8%, calculate the new price of the tv. (to the nearest 10 naira)
The price of new Tv is 107,990 including VAT .The percentage increase in price of tv is 8% in rate.
The current price of the plasma TV including VAT at 5% is 99,990 naira.
If the government raises VAT to 8%, the new price of the TV including VAT can be calculated as follows:
New price = current price * (1 + new VAT rate)
New price = 99,990 * (1 + 0.08)
New price = 107,992.2
Rounding the new price to the nearest 10 naira gives: 107,990 naira.
The increase in price of the TV can be calculated as follows:
Price increase = new price - current price
Price increase = 107,990 - 99,990
Price increase = 8,000
The percentage increase in price of the TV can be calculated as follows:
Percentage increase = (price increase / current price) * 100%
Percentage increase = (8,000 / 99,990) * 100%
Percentage increase = 8.0%
Therefore, the new price of the TV including VAT at 8% is 107,990 naira, and there is a 8.0% increase in price.
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____The given question is incomplete, the complete question is given below:
The advertised price of a plasma tv is 99,990 naira including vat at 5%. If the government raises vat to 8%,calculate the new price of the tv ,(to the nearest 10 naira) what is the percentage increase in price of the tv?
what the hell is a plane
justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours. what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours? (round your answer to three decimal places.)
The probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.
In the question Justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours and we have to find what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours.
This can be calculated using the Poisson distribution formula, P(X > 5) = 1 - P(X ≤ 5).
P(X > 5) = 1 - P(X ≤ 5)
= 1 - (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5))
= 1 - (0.0022 + 0.0133 + 0.0514 + 0.1245 + 0.2141 + 0.2769)
= 0.8351
Therefore, the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.
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please help idek how to slove this give a step by step too please
Answer:
x = 3/85
Step-by-step explanation:
log2 (6) - log2 (5x) = log2 ( 34)
We can use the properties of logs.
First subtract log2 (6) from each side.
log2 (6) - log2 (5x) - log2 (6) = log2 ( 34)-log2 (6)
- log2 (5x) = log2 ( 34)-log2 (6)
Now we know that log a - log b = log a/b
- log2 (5x) = log2 ( 34/6)
- log2 (5x) = log2 ( 17/3)
Multiply each side by -1
log2 (5x) = -log2 ( 17/3)
We know that -log (a/b) = log ( b/a)
log2 (5x) = log2 ( 3/17)
The terms inside the logs must be the same
5x = 3/17
Divide each side by 5
5x/5 = 3/17 * 1/5
x = 3/85
On the first night of Rosh Hashanah, David cuts 5 apples into slices and gives 3/8 of an apple to each of his guests. He has 2 apples left over. How many guests does david have? Let g equal the number of guests David has. Write an equation that represents the situation.
Based on the information provided, the number of guests was 8 guests and the equation to represent this situation is 3/8 x + 2 = 5.
How to calculate the number of guests?The first step to get to know the number of guests is to write an equation, this will help us discover the number of x or guests. To write the equation, let's include the variable and values given:
3/8 x + 2 = 5
Now, let's solve this equation:
0.375x + 2 = 5
x = 5 -2/ 0.375
x = 3 / 0.375
x = 8 guests
Based on the above, it can be concluded that the number of guests, in this case, was 8.
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Which quantity is unknown?
the number of guest
_____________________________________
Write an equation that represents the situation.
3/8g + 2 = 5
_____________________________________
How many guests does David have?
g = 8
Nayeli is going to an amusement park. The price of admission into the park is $40,
and once she is inside the park, she will have to pay $2 for every ride she rides on.
How much money would Nayeli have to pay in total if she goes on 9 rides? How much
would she have to pay if she goes on r rides?
Answer:
Step-by-step explanation:
The total cost for Nayeli to enter the amusement park is $40. If she goes on 9 rides, the cost for the rides would be 9 * $2 = $18. Therefore, the total cost for Nayeli to enter the park and go on 9 rides would be $40 + $18 = $58.
To find the total cost if she goes on r rides, we can use the formula:
Total cost = $40 + r * $2
So, if Nayeli goes on r rides, she would have to pay $40 + r * $2 in total.
To calculate the total cost, multiply the number of rides by the cost per ride and add it to the admission price.
To calculate the total amount Nayeli would have to pay if she goes on 9 rides, we need to first calculate the cost of admission. The admission price is $40. Then, we multiply the number of rides (9) by the cost per ride ($2) and add it to the admission price to get the total cost.
Total cost = Admission price + (Number of rides x Cost per ride) = $40 + (9 x $2) = $40 + $18 = $58.
If Nayeli goes on 'r' rides, we can use the same formula to calculate the total cost. The total cost would be the admission price ($40) plus the product of the number of rides ('r') and the cost per ride ($2). Total cost = $40 + (r x $2) = $40 + $2r.
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3 of 93 of 9 questions question terry has won 18 of 35 chess games. sandra has won 24 of 36 chess games. terry wants to know how many of the remaining games she would have to win for her winning percentage to be greater than sandra's, given that sandra doesn't win any more games. let x represent the number of games remaining, and let y represent the number of games terry needs to win. which inequality represents this situation? responses 18 y35 x>2436 x 18 y35 x>2436 x 35 y18 x>2436 x 35 y18 x>2436 x 18 y35 x>36 x24 18 y35 x>36 x24 18 x35 x>2436 x
The inequality that represents this situation is y - 2x > 16.
Let's start by finding Terry's current winning percentage:
Terry's current winning percentage = 18/35 = 0.5143 (rounded to 4 decimal places)
We want to find out how many of the remaining games Terry needs to win for her winning percentage to be greater than Sandra's winning percentage, given that Sandra doesn't win any more games. Sandra's current winning percentage is:
Sandra's current winning percentage = 24/36 = 0.6667 (rounded to 4 decimal places)
Let x be the number of remaining games and y be the number of games Terry needs to win. Since there are a total of x remaining games and Terry wins y of them, she will have won a total of 18 + y games out of 35 + x games. Therefore, her winning percentage after winning y of the remaining games would be:
(18 + y) / (35 + x)
We want this winning percentage to be greater than Sandra's winning percentage:
(18 + y) / (35 + x) > 24/36
Multiplying both sides by 36(35 + x), we get:
36(18 + y) > 24(35 + x)
Simplifying the left-hand side:
36(18 + y) = 648 + 36y
Simplifying the right-hand side:
24(35 + x) = 840 + 24x
Substituting these simplifications back into the inequality, we get:
648 + 36y > 840 + 24x
Simplifying:
12y - 24x > 192
Dividing both sides by 12:
y - 2x > 16
Therefore, the inequality that represents this situation is:
y - 2x > 16
So Terry needs to win more than twice as many remaining games as the number of games Sandra has won more than her in order to have a winning percentage greater than Sandra's winning percentage.
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the median should often be used to describe: select one: a. normal distributions. b. skewed distributions. c. large distributions. d. percentages.
The median should be used to describe a normal or skewed distribution, as it is a better measure of the central tendency than the mean for these types of distributions.
The median is a better measure of the central tendency than the mean when describing a normal or skewed distribution. A normal distribution is a symmetrical distribution of data in which values are evenly spread around the mean. A skewed distribution is when one side of the distribution is longer than the other, with the mean being pulled away from the center. The median is the most appropriate measure of central tendency for both normal and skewed distributions because the mean can be distorted by outliers and extremes in the data. The median is the midpoint in the data and provides a better representation of the middle of the distribution, which can be useful in interpreting the data. Using the median to describe a large distribution or percentage is not as common as it is better to use the mean or mode for these types of distributions.
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Anna runs 3/4 miles in 6 minutes, or 1/10 hour. Assuming she runs at a constant rate, what is her speed, in miles per hour?
Speed of Ana = 7.5miles/hour
Step-by-step explanation:
Given,
Ana runs 3/4 mile in 6 minutes.
To find,
The speed of Ana in miles per hour
Recall the formula,
Speed = distance travelled/time taken
60 minutes = 1 hour
Solution:
Distance traveled = 3/4 mile
Time taken = 6 minutes
Since 60 minutes = 1 hour, we have
1 minute =1/60 hour
6 minutes = 6/60 hour
=1/10 hour
Hence speed = distance travelled/time taken
= 3/4 / 1/10 miles/hour
= 15/2 miles/hour
= 7.5miles/hour
∴ Speed of Ana = 7.5miles/hour
- a gambler offers you to pay even odds if you get 9, 10 or 11 heads in 20 tosses. should you take the bet?
a bag contains red and white balls. the ratio of red to white balls is 3:4. if the bad contains 36 white balls then find the number of red balls?
Answer:
P (of red ball) = 1 - ( 310 + 25 ) = 1 - (3 + 410 ) = 1 - 710 = 10 - 710 P (of red ball) = 310 No. of black balls = 20total no. of balls 25 = 20total balls
Step-by-step explanation:therya goo
Answer:
48
Step-by-step explanation:
If the ratio is 3:4, we can just divide 35 by 3.
Then we get 12, and to get the red balls we can multiply by 4 because that is the ratio
4*12= 48
there are 48 red balls
observations are drawn from a bell-shaped distribution with a mean of 110 and a standard deviation of 4. a. approximately what percentage of the observations fall between 98 and 122?
The empirical rule tells us that for a normal distribution with mean μ and standard deviation σ, approximately 99.7% of the observations fall between 98 and 122.
Since the distribution is bell-shaped, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentage of observations that fall within certain ranges.
According to the empirical rule, for a normal distribution with mean μ and standard deviation σ:
About 68% of the observations fall within one standard deviation of the mean, i.e., between μ - σ and μ + σ.
About 95% of the observations fall within two standard deviations of the mean, i.e., between μ - 2σ and μ + 2σ.
About 99.7% of the observations fall within three standard deviations of the mean, i.e., between μ - 3σ and μ + 3σ.
In this case, the mean is 110 and the standard deviation is 4. Therefore:
About 68% of the observations fall between 110 - 4 = 106 and 110 + 4 = 114.
About 95% of the observations fall between 110 - 2(4) = 102 and 110 + 2(4) = 118.
About 99.7% of the observations fall between 110 - 3(4) = 98 and 110 + 3(4) = 122.
So approximately 99.7% of the observations fall between 98 and 122.
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a scratch off lottery ticket can be purchased for $2. there are multiple prize options, shown along with the probability, in the table below. what is the expected win (or loss) for this lottery ticket? round your answer to the nearest cent. do not round until your final answer.
a result of -$2.00, indicating that, on average, you will lose $2.00 when buying this lottery ticket.
Lose (-$2.00)
The expected win (or loss) for this lottery ticket is -$2.00.
The expected win (or loss) for this lottery ticket is calculated by multiplying the prize amount by the probability of winning and then subtracting the cost of the ticket.
($50 x 0.1%) - $2 = -$2.00
The expected win (or loss) for this lottery ticket is calculated by multiplying the prize amount of $50 by the probability of 0.1% (or 0.001) of winning and then subtracting the cost of the ticket, which is $2. This gives us a result of -$2.00, indicating that, on average, you will lose $2.00 when buying this lottery ticket.
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question 6
help me asap
The approximate length of arc CB is given as follows:
14.17 cm.
What is the measure of the circumference of a circle?The circumference of a circle of radius r is given by the multiplication of 2 by the number π = 3.14 and the radius r, as follows, hence the equation is given as follows:
C = 6.28r.
The radius for this problem is given as follows:
r = 7 cm.
The angle relative to arc CB is given as follows:
2 x 58º = 116º.
As an entire circumference has an angle of 360º, the approximate length of arc CB is obtained as follows:
116/360 x 6.28 x 7 = 14.17 cm.
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Find the diameter with of
Circumference 31.4ft
The diameter of a circle is 10 feet.
What is circumference of a circle?The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.
Given that, the circumference of a circle is 31.4 ft.
We know that, circumference of a circle is 2πr
Now, 2πr=31.4
2×3.14×r=31.4
6.28r=31.4
r=31.4/6.28
r=5 feet
Then, diameter=2×radius =10 feet
Therefore, the diameter is 10 feet.
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Nicole james and jenny shared one - third of pizza. What fraction of the the whole pizza did each of them receive
The fraction of pizza that each of them gets out of the whole pizza is 1/9.
What is meant by a fraction?
The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. A piece or sector of any quantity is another name for the fraction. Some of the different types of fractions are:
proper fractions, improper fractions, mixed fractions and so on.
Given 1/3rd portion of the pizza is shared by Nicole, James and Jenny.
Let us are assuming they shared the 1/3rd portion equally among themselves.
Then,
1/3 pizza = 3 people
1 person = 1/(3*3) = 1/9
Therefore the fraction of pizza that each person gets out of the whole pizza is 1/9.
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-3x+8=5x-72 solve for x please
Answer:
x = 10
Step-by-step explanation:
[tex]-3x+8=5x-72[/tex]
Subtract 5x from both sides:
[tex]-3x+8-5x=5x-72-5x[/tex]
[tex]-8x+8=-72[/tex]
Subtract 8 from both sides:
[tex]-8x+8-8=-72-8[/tex]
[tex]-8x=-80[/tex]
Divide both sides by -8:
[tex]\dfrac{-8x}{-8} =\dfrac{-80}{-8}[/tex]
[tex]\boxed{x=10}[/tex]
Question 6: What are the vertex and range of y = |x - 2 + 1? *
Answer:
Step-by-step explanation:
The vertex of the equation y = |x - 2 + 1| is (2, 1). The range of the equation depends on the value of x. When x < 2, the equation becomes y = -x + 1, which gives us a line with a slope of -1 that intersects the y-axis at (0,1) and has a minimum value of 1. When x >= 2, the equation becomes y = x - 1, which gives us a line with a slope of 1 that intersects the y-axis at (0,-1) and has no minimum value. Therefore, the range of the equation y = |x - 2 + 1| is [1, infinity).
a. Starting with the number 10, build a sequence of 5 numbers.
Answer:
Step-by-step explanation:
10, 20, 30, 40, 50
FIRST 2 PEOPLE TO ANSWER GET POINTS AND BRAINLIEST!!!
Answer: $44.04
Step-by-step explanation: Add up all the prices 13.75+15.85+11.95 which is 41.55. Now times 41.55 by 6% which is 2.493. Now add the total and the tax. 41.55 + 2.493 = $44.04 as the final total.
Two different investment companies offer college savings plans, one at 8. 4% compounded continuously and the other at 8. 6% compounded quarterly. Which is the better investment?
The 8.4% compounded quarterly is the better investment because it gives a good return.
Compound interest is “interest-on-interest”, or the ability of a financial instrument to generate earnings on its earnings. Compound interest, can be calculated using the formula :
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
where A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
(i)S = P
S = P(1.0854) (1.0854)
AP(1) = 1.0846 - 1
AP(1)= 0.08546 or 8.546%
(ii)r = 0.084/4
AP(2) = (1 + 0.084/4)⁴ -1
AP(2) = 1.08688 - 1
AP(2) = 8.668%
The 8.4% compounded quarterly investment is therefore preferable.
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