Sumiko and Jandella ran the bleachers together today at Poly High School. Sumiko runs these same bleachers every 6 days and Jandella runs them every 16 days. The soonest they will see each other again is in days.
Answers
Answer:
48 days
Step-by-step explanation:
Given that :
Sumiko runs bleachers every 6 days
Jandella runs bleachera every 16 days
The soonest they will see each other again is in days can be obtained by getting the lowest common multiple of 6 and 16
Multiples of
6 : 6, 12, 18, 24, 30, 36, 42, 48, 54,...
16 : 16, 32, 48, 64,...
Lowest common multiple of 6 and 16 = 48
Hence, the soonest they'll see each other again is in 48 days
Related Questions
Let A be a 7x7 matrix. What must a and b be in order to define T:R→R by T(x) = Ax? a = (Simplify your answer.) b= (Simplify your answer.)
Answers
To define the linear transformation T: R^7 → R using matrix A, the matrix must have dimensions that correspond to the input and output spaces.
The matrix A can be represented as A = [a, b, c, d, e, f, g]^T, where each entry represents a coefficient. The values of a and b are the first two entries of the matrix A. Therefore, a and b can be any real numbers assigned to the first two entries of the 7x1 matrix A.
For example, if we choose a = 2 and b = -3, then the linear transformation T(x) = Ax is defined by the matrix A = [2, -3, c, d, e, f, g]^T, where c, d, e, f, and g can be any real numbers chosen for the remaining entries of the matrix A. This means that the values of a and b determine the behavior of the linear transformation T.
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Denise is conducting a physics experiment to measure the acceleration of a falling object when it slows down and comes to a stop. She drops a wooden block with a mass of 0.5 kilograms on a sensor on the floor. The sensor measures the force of the impact as 4.9 newtons. What’s the acceleration of the wooden block when it hits the sensor? Use F = ma.
Answers
Answer:
9.8m/s2
Step-by-step explanation:
the mass is 0.5kg
the force is 4.9N
you need to find the acceleration
To find the acceleration, divide the force and mass
4.9N/0.5Kg
the answer is 9.8m/s2
To check, multiply the acceleration to the mass
9.8m/s2*0.5Kg=4.9N
state the null and alternative hypotheses for the following conjecture. the average age of a senior surgical resident in the united states is less than 30.8 years old.
Answers
The null hypothesis (H0) states that the average age is equal to or greater than 30.8 years, while the alternative hypothesis (Ha) states that the average age is less than 30.8 years.
In hypothesis testing, we set up the null hypothesis (H0) and the alternative hypothesis (Ha) to investigate a claim or conjecture. In this case, the conjecture is that the average age of a senior surgical resident in the United States is less than 30.8 years old.
The null hypothesis (H0) assumes that the average age is equal to or greater than 30.8 years, and any difference observed in the sample is due to random chance or sampling variability. Therefore, the null hypothesis can be stated as:
H0: The average age of senior surgical residents in the United States is greater than or equal to 30.8 years.
The alternative hypothesis (Ha) represents the claim or the opposite of the null hypothesis. In this case, the alternative hypothesis states that the average age is less than 30.8 years, indicating that there is a significant difference or evidence against the null hypothesis. Therefore, the alternative hypothesis can be stated as:
Ha: The average age of senior surgical residents in the United States is less than 30.8 years.
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Two golfers completed one round of golf. The first golfer had a score of +6 and the second golfer had a score of –3. How many more shots did the first golfer take? 17. What is the balance as a result of having a credit of $84 and a debit of $29?
Answers
Question 16
Given that two golfers completed one round of golf.
It is stated that the first golfer had a score of +6 and the second golfer had a score of -3.
Let suppose 'x' be the number of shots the first golfer took.It is clear that the first golfer is 6 over par, while the second golfer is under 3.
Thus, the equation becomes:
\(-3 + x = 6\)
adding -3 to both sides
\(-3+3+x = 6+3\)
simplify
\(x = 9\)
Thus, the second golfer has taken 9 more shorts.
Question 17
When we talk about credit, it means:
Credit = +
When we talk about debt, it means:
Debit = -
Thus,
Credit = +84
Debt = -29
Balance = 84 + (-29)
= 84 - 29
= 55
Thus, the balance is: 55
How are coefficient estimates from WLS (weighted least squares) interpreted?Select one:a. They should only be used for hypothesis testing. Coefficient estimates from the un-weighted, original model should be used for prediction.b. There is no difference in interpretation since each observation is scaled by the same divisor.c. Take the inverse of the natural logarithm of the coefficient to find marginal effects.d. They must be scaled up by the weight used in order to calculate marginal effects.
Answers
Coefficient estimates from WLS (weighted least squares) are interpreted in a similar manner to those from an un-weighted, original model. The main difference is the weights used to scale the observations.
Therefore, correct answer will be:- Coefficient estimates from the un-weighted, original model should be used for prediction
This can cause estimates to differ depending on the weight chosen. When interpreting the coefficient estimates, it is important to consider the weights used when calculating the model. This is because they can affect the magnitude of the coefficient estimates.
Additionally, the weights should be taken into account when calculating the marginal effects of the coefficients. This can be done by scaling up the coefficients by the weight used. Ultimately, the interpretation of coefficient estimates from WLS should be done in the same manner as those from an un-weighted model, but the weights should be taken into account when considering their magnitude and when calculating marginal effects.
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Can a triangle with side lengths 7, 25, and 19 be a right triangle?
Answers
Well, the Pythagorean theorem is helpful.
Does 7^2+19^2=25^2?
no it desn't, so no it is not a right triangle
A car was purchased for $20,000. The car depreciates by 27% each year. What is the value of the car when it is 12 years old?
Answers
Answer:
Below
Step-by-step explanation:
Losing 27 % of value each year means it retains 73% each year
we need to multiply 20 000 x .73 x .73 x .73 .... .73 (twelve times )
or re-written as 20 000 * .73^12 = value =$ 458.04
When examining the geology of a region for potential useable aquifers, what characteristics or factors would you consider? Also, taking into account certain natural and human factors, which areas would you avoid?
200-300 word response
Answers
Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.
What factors are considered when evaluating potential useable aquifers and which areas should be avoided?Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.
Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.
However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.
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A magical basket of pennies doubles every day. If the basket if full on the 15th day, on what day was the basket one-quarter full?
Answers
The basket of pennies will be 1/4 full on the 13th day
How to determine the day?From the question, the given parameters are:
Rate of change, r = 2 i.e. doubleFull basket, = 15th dayThe above parameters illustrate an exponential function
An exponential function is represented as
A(n) = A * (r)ⁿ⁻¹
Where
A represents the initial value
It is full on the 15th day
So, we have
1 = A *(2)¹⁵⁻¹
Evaluate
1 = A *(2)¹⁴
Divide by (2)¹⁴
A = (2)⁻¹⁴
Substitute A = (2)⁻¹⁴ in A(n) = A * (r)ⁿ⁻¹
A(n) = (2)⁻¹⁴ * (2)ⁿ⁻¹
When it is one-quarter full, we have
1/4 = (2)⁻¹⁴ * (2)ⁿ⁻¹
Multiply by (2)¹⁴
(2)¹² = (2)ⁿ⁻¹
By comparison, we have
n - 1 = 12
Add 1 to both sides
n = 13
Hence, the basket will be one-quarter full on the 13th day
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cars run the red light at the intersection of a avenue and first street at a rate of 2 per hour. what distribution should be used to calculate the probability no cars run the red light at the identified intersection on may 1st?
Answers
Given that cars run the red light at the intersection of an avenue and first street at a rate of 2 per hour, we need to find what distribution should be used to calculate the probability that no cars run the red light at the identified intersection on May 1st.In order to calculate the probability no cars run the red light at the identified intersection on May 1st, we can use the Poisson distribution.
The Poisson distribution is used to model the number of events occurring within a given time period, provided that the events occur independently and at a constant average rate.In this case, we know that the rate of cars running the red light is 2 per hour. To find the probability that no cars run the red light at the intersection on May 1st, we need to determine the expected number of cars running the red light on that day. Since there are 24 hours in a day, the expected number of cars running the red light on May 1st is: Expected number of cars = rate x time = 2 x 24 = 48Using the Poisson distribution formula, we can calculate the probability of no cars running the red light:P(0) = (e^-λ) * (λ^0) / 0!, where λ is the expected number of cars running the red light on May 1st.P(0) = (e^-48) * (48^0) / 0!P(0) = e^-48P(0) ≈ 1.22 × 10^-21Therefore, the probability of no cars running the red light at the identified intersection on May 1st is approximately 1.22 × 10^-21.
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The probability no cars run the red light at the intersection of Avenue and First Street on May 1st is 0.1353.
The appropriate distribution that should be used to calculate the probability no cars run the red light at the intersection of Avenue and First Street on May 1st is Poisson Distribution.
A Poisson Distribution is a probability distribution that gives the probability of a certain number of events happening in a set period of time, given the average number of times the event occurred in that period of time. T
he number of events occurring in a fixed period of time can be considered a random variable that follows a Poisson distribution when the events are independent and randomly distributed over the time period involved.
Formula used to calculate probability using Poisson distribution is given below:
\(P(x) = (e^-λ) (λ^x) / x!\)
Where λ = Mean (average) number of events occurring in the given time period,
x = Number of events to be calculated.
The rate at which cars run the red light at the intersection of a Avenue and First Street is given as 2 per hour.
The probability no cars run the red light at the intersection on May 1st can be calculated by using the following formula:
\(P(0) = (e^-2) (2^0) / 0!P(0) = (1) (1 / e^2)P(0) = 0.1353\)
Therefore, the probability no cars run the red light at the intersection of Avenue and First Street on May 1st is 0.1353.
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Complete the steps to find the sum. What is the sum? –7g4 4g3 – 3g2 5g – 3 –4g4 – 3g3 4g2 5g 3 –4g4 4g2 14g – 6 –3g4 14g – 6.
Answers
The sum of given polynomials is \(4g^2-4g^4+5g-3g^3+3\).
Given polynomials are:
\(1)g^2-4g^4+5g+9\\\\2)-3g^3+3g^2-6\)
What is a polynomial?A polynomial is an algebraic expression that constitutes monomials of the form ax^n where n is a whole number.
The sum of expressions is
\(g^2-4g^4+5g+9-3g^3+3g^2-6\)
Now, add monomials having similar exponents, like if monomial is like \(g^2\) add it with another monomial having a term \(g^2\) and do the same for other monomials.
\(g^2 + 3g^2 -4g^4+5g-3g^3+9-6\)
\(4g^2-4g^4+5g-3g^3+3\)
Therefore, the sum of given polynomials is \(4g^2-4g^4+5g-3g^3+3\).
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Answer:
B
Step-by-step explanation:
Heather added some items to a 20-pound package, increasing its weight by 15%. What was the new weight of the package?.
Answers
Answer:
23 pounds
Step-by-step explanation:
20 x 1.15 = 23
Micah wants to know the most common style of surfboard used at Breakers Point. He surveys surfers at Breakers Point between 8:00 A.M. and 12 P.M. Select all the statements that are true about Micah’s survey.
Micah will obtain a random sample by talking to as many surfers as possible.
The population for the survey is all people who surf at Breakers Point.
Micah will not get a representative sample.
Micah's sample will be representative because anyone can surf at Breakers Point.
Micah's sample is all people who surf at Breakers Point.
Answers
The statements which are true about Micah's survey are;
Micah will not get a representative sample.The population for the survey is all people who surf at Breakers Point.Which statements are true about Micah's sample?As evident in the task content; Micah wants to know the most common style of surfboard used at Breakers Point.
Hence, it can be inferred that the population of the survey in this context is; all people that surf at Breakers Point.
Also, since Micah only surveys surfers between 8:00 AM and 12:00 PM, it follows that; Micah will not get a representative sample.
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The budget for the valentine's day dance is $500. linghts and decorations cost $125. The Dj charges $100 per hour plus a one time business fee of $75. What is the maximum number of hours the school can have the DJ play at the dance?
Answers
ok
Budget =< lights + DJ + business fee
$500 =< $125 + $100x + $75
solve for x
500 =< 200 + 100x
500 - 200 =< 100x
300 =< 100x
x =< 300/100
x =< 3
The maximum number of hours is 3
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answers
Answer:
people who ordered a cold drink=
\(8+12+5=25\)
people who ordered a large cold drink= 5
\(probability= \frac{5}{25}\) \(=\frac{1}{5}\)
\(=\frac{1}{5} \times100=20~\%\)
\(Answer: 20\%\)
-----------------------
Hope it helps...
Have a great day!!
The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the order of the first 100 customers in a coffee shop.
Number of customers who ordered a large which is also a cold drink = 5
Total number of customers = 100
Probability = Number of desired outcomes / Total number of outcomes
Substituting,
Probability = 5 / 100 = 0.05 = 5%
Hence the required percent is 5%.
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If x and y vary inversely and x = 2.5 when y =100, find x when y = 25.
Answers
Let me know if I’m wrong
If a battery has a radius of 4 millimeters and a height of 32 millimeters, approximately what is the area of the surface to be covered by the label? Use 3.14 for and round to the nearest hundredth.
Answers
The area of the surface to be covered by the label = 904.32 mm²
We know that the formula for the surface area of cylinder is:
A = 2πrh + 2πr²
where r is the radius of the cylinder and h is the height of the cylinder
Here, the dimensions of the cylindrical battery:
radius r = 4 millimeters
height h = 32 millimeters
Using the above formula of surface area of cylider, the area of the surface to be covered by the label would be,
A = 2πrh + 2πr²
A = 2πr(h + r)
A = 2π × 4 × (32 + 4)
A = 2 × 3.14 × 4 × 36
A = 904.32 mm²
Therefore, the required area is 904.32 mm²
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Can someone explain how to solve for x?
Answers
Answer:
x=11
Step-by-step explanation:
Notice that the first diagram is similar with the second diagram with ratio 1:2
Ex: Side length of JK is 6 and NP being 12, 6:12→1:2
You can conclude that x:22 needs to follow the ratio of 1:2
Thus, x=11
Compute an actual dimension of a distance if the given
drawing measurement in the plan is 28 cm using a 1:60 m scale.
Answers
The actual dimension of the distance is approximately 0.0046667 cm.
To compute the actual dimension of a distance given a drawing measurement and a scale, you can use the following formula:
Actual Dimension = Drawing Measurement × Scale Factor
In this case, the given drawing measurement is 28 cm, and the scale is 1:60 m.
To calculate the scale factor, we need to convert the scale to the same unit as the drawing measurement. Since the drawing measurement is in centimeters (cm), we need to convert the scale from meters (m) to centimeters (cm).
1 meter = 100 centimeters
So, the scale factor is:
Scale Factor = 1:60 m = 1 cm : 60 cm = 1 : 6000 cm
Now we can calculate the actual dimension:
Actual Dimension = Drawing Measurement × Scale Factor
Actual Dimension = 28 cm × 1/6000
Actual Dimension = 28/6000 cm
Simplifying the fraction, we get:
Actual Dimension ≈ 0.0046667 cm
Therefore, the actual dimension of the distance is approximately 0.0046667 cm.
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Find the value for x
Answers
Answer:
Value of x --> 15°
Step-by-step explanation:
(2x + 60°) and 6x lie on a straight line. So, they form a linear pair. Their sum gives 180°.
---> (2x + 60°) + 6x = 180°
2x + 60° + 6x = 180°
8x + 60° = 180°
8x = 180°- 60°
8x = 120
x = \(\frac{120}{8}\)
x equals 15°y−4=7(x−6) what is the ordered pair solution for this problem
Answers
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
9
72
36
27
81
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
O The college will have about 640 students who prefer cookies.
O The college will have about 1,280 students who prefer cookies.
O The college will have about 1,440 students who prefer cookies.
Answers
Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
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a hot air ballon is realeased from the ground at a point 200 feet from an observer. It rises vertically. when the ballppn is 150 ffet above the ground, it is rising at a rate of 50 feet/minute. how fast is the distance of the balloon fro the observer increasing at that moment
Answers
The distance between the observer and the hot air balloon is increasing at a rate of \(25\times \sqrt{5}\) feet/minute when the balloon is rising at a rate of 50 feet/minute and is 150 feet above the ground.
point A and the hot air balloon is at point B, 200 feet away horizontally and 150 feet above the ground vertically. We want to find how fast the distance AB is increasing at the moment when the balloon is rising at a rate of 50 feet/minute.
Let's call the distance AB "d" and the time "t". We are given that:
\(d = \sqrt{(200^2 + (200 - 150)^2)} = \sqrt{(50000)} = 100\times \sqrt{5}\) feet (using the Pythagorean theorem)
h = 150 feet (the height of the balloon above the ground)
dh/dt = 50 feet/minute (the rate at which the height of the balloon is increasing)
To find dd/dt, we can use the chain rule of differentiation:
dd/dt = (dd/dh) × (dh/dt)
We can find dd/dh by taking the derivative of the distance formula with respect to h:
\(dd/dh = 1/\sqrt{(200^2 + (200 - h)^2)} \times d/dh(\sqrt{(200^2 + (200 - h)^2)} )= (200 - h) \sqrt{(200^2 + (200 - h)^2)}\)
Plugging in h = 150, we get:
\(dd/dh = (200 - 150) / \sqrt{(200^2 + (200 - 150)^2) } = 50 / \sqrt{(50000) } = \sqrt{(5)/2}\) feet/foot
Now we can find dd/dt:
\(dd/dt = (dd/dh) \times (dh/dt) = (\sqrt{(5)/2) } \times 50 = 25\times \sqrt{5}\) feet/minute
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you have $20.56. you buy an apple for 79 cents and a granola bar for $1.76. how much money did you spend?how much money do you have?
Answers
Let:
M = Total money = $20.56
Ca= Cost of the apple = 79 cents = $0.79
Cg = Cost of the granola bar = $1.76
Ms = Total money spent
Mr = Remaining money
So, the total money spent will be:
Ms = Ca + Cg = $0.79 + $1.76 = $2.55
And the remaining money will be:
Mr = M - Ms = $20.56 - $2.55 =$18.01
there is an ongoing debate about how many spaces should be placed after a period in typed documents. alana read about a study where 100100100 participants all read the same document typed in courier new font. half of the participants were randomly assigned the document with one space after each period, and the other half were given the document with two spaces after each period. participants who read the document with two spaces after each period were able to finish reading significantly faster than those with one space after each period. alana concluded that using two spaces after each period will help people read all documents faster. why is alana's conclusion not appropriate?
Answers
Alana's conclusion from the study is not appropriate.
Why is Alana's conclusion from the study is not appropriate?
In this study, there was no attempt made to research the alternative fonts. Alana reads about the study that includes only courier new font and arrives at a conclusion.The study in inconsistent with the standard scientific methods as it is not inclusive of all factors and possibilities and is thus inappropriate.What is an appropriate study?
The achievement of the research objectives is ensured by an appropriate study design. The important element of appropriate studies known as formulated research are missing from observational studies.Observational studies are in which the outcome is not tried to be altered through analysis unlike appropriate studies.This describes an investigation of a specific phenomenon that meets all requirements and adheres to the scientific method.To learn more about appropriate studies, refer:
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For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
temperature can be described by the formula t = -0.0035a +g, in which t is the atmospheric
temperature in degrees Fahrenheit, a is the altitude, in feet, at which the atmospheric temperature is
measured, and g is the ground temperature in degrees Fahrenheit. Solve the equation for a. If the
atmospheric temperature is -17.4°F and the ground temperature is 40 °F, what is the altitude?
The equation for a is a =
If the atmospheric temperature is -17.4 °F and the ground temperature is 40 °F, then
a= feet.
Answers
Answer:
a=16400 feet
Step-by-step explanation:
t = -0.0035 a +g
-17.40 = -0.0035 a+40
-17.40-40=-0.0035a+40-40
-57.40=-0.0035a
a = -57.40/-0.0035
a=16400 feet
Jayden said the answer is (5x + 2)(x-6). Chelsea said the answer is (5x - 2)(x + 6). Who is correct? Explain your reasoning. ( points)
Answers
Answer:
what is the question?
Answer to what?
Solve the equation. 25% of 80 =
Answers
Answer: 20
Step-by-step explanation:
.25(80)=20
Answer:
the answer is gonna be 20
Draw a grid using a scale of 0 to 10 on the ×-axis and 0 to 5000 (with interval of 500) on the y-axis and plot a graph based on ur table
Answers
The graph based on table is drawn in picture.
What is grid?A grid is basically a structure which is made up of several straight lines which intersect each other and form number of squares or boxes.
What is grid graph?A grid graph is the 2-dimentional graph with x and y axis which is embedded in Euclidean space .In the graph theory, The grid graph is also known as the 2-dimentional lattice graph (2D lattice) , mesh graph and rectangular grid graph. Sometimes, the graphs having the grid structure are also called as cartesian graphs because they have build on the cartesian coordinates system having x and y axis.
In the question given,
scale on x-axis is 0 to 10 with the interval of 1
thus, points on x axis are 0,1, 2, 3, ----,10
scale on y-axis is 0 to 5000 with the interval of 500
thus, points on y axis are 0, 500, 1000, 1500, ----- , 5000
The grid graph is shown in picture .
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plsss help and explain how to do it because im confused
