The given equation is:
\(\frac{4}{3}\div\frac{1}{6}=p\)Therefore,
\(\frac{4}{3}\times\frac{6}{1}=p\)Hence,
\(p=4\times2=8\)Since the value of p = 8, it follows that p is between the pair of numbers:
7 and 9.
Therefore, the correct answer is choice B
7 and 9
what is the constant of proportionality between y & x in the graph
Answer:
The constant of Proportionality is 1.
Step-by-step explanation:
Both x & y go up by 1. They are also always the same number. Therefore the constant of Proportionality is 1.
4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
Terry is feeling crafty and wants to put a ribbon border on her boring clock to jazz it up a bit. If the clock has a radius of 15inches, how many inches of ribbon will Terry need to use to surround the clock? Round your answer to the nearest hundredth
How many 3/10 are in 6?
Answer:
there are 20
Step-by-step explanation:
there are 60/10 in 6
60/3=20
Answer:
20
Step-by-step explanation:
for the chi-square test for goodness of fit, what is the value of df for a test with four categories and a sample of n
The value of df for a test with four categories and a sample of any size is 3.
The degrees of freedom (df) for a chi-square test for goodness of fit is calculated as (number of categories - 1) since one category can be determined from the frequencies of the other categories.
In this case, there are four categories, so the degrees of freedom would be (4 - 1) = 3.
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Order the numbers from least to greatest. -1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. -1.95, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95, -1 WOMALOWAS Please select the best answer from the choices provided B c D
Answer:
Step-by-step explanation:
uhhhh O-1.895, -1.95, -1 , a. 15 -1.895, -1.95 b. 1.95-, -1.895, -1 . -1.95,-1,-1.89 d. 1.895, -1.95
The larger the negative number, the lower the value the number actually is.
Answer: b. -1.95, -1.895, -1
Suppose you have the opportunity to play a game with a "wheel of fortune" (similar to the one on TV). When you spin a large wheel, it is equally likely to stop in any position. Depending on where it stops, you win anywhere from $0 to $1000. The population is the set of all outcomes you could obtain from a single spin of the wheel--that is, all dollar values from $0 to $1000. Furthermore, because we assume that the wheel is equally likely to land in any position, all possible values from $0 to $1000 have the same chance of occurring. Therefore, we have a uniform distribution for our population on the interval from SO to $1000. of FOR What are the values of a and b for this uniform distribution? What are the mean and standard deviation for this uniform distribution?What is the probability of winning more than $600 on one spin of the wheel?
The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.
In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.
The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.
To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.
Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.
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Solve the separable differential equation for u Du/dt=e^3u+10t Use the following initial condition: u(0)= 7.u = ___
The solution to the given separable differential equation for u, with the initial condition u(0) = 7.
To solve the separable differential equation for u, we start by rearranging the equation f as:
(1/u) du/dt = e^(3u)/u + 10t/u
We can now integrate both sides of the equation with respect to t and u, separately. Starting with the left-hand side, we have:
∫(1/u) du = ln|u| + C1
where C1 is the constant of integration. For the right-hand side, we can use u-substitution by letting v = 3u, dv/du = 3, and du/dv = 1/3u. Substituting these values into the equation f and simplifying, we have:
(1/3) ∫e^v dv = (1/3) e^v + C2
where C2 is another constant of integration. Substituting v = 3u back into the equation and combining the constants of integration, we get:
ln|u| = e^(3u)/3 + 10t/3 + C
where C = C1 + C2. To solve for u, we exponentiate both sides of the equation:
|u| = e^(e^(3u)/3 + 10t/3 + C)
We can drop the absolute value since u(0) = 7 > 0, and simplify the exponential expression by using the properties of exponents:
u = e^(e^(3u)/3) * e^(10t/3 + C)
Finally, we use the initial condition u(0) = 7 to solve for C:
7 = e^(e^(3(7))/3) * e^(10(0)/3 + C)
7 = e^(e^21/3) * e^C
ln(7/e^(e^21/3)) = C
Substituting this value of C back into the equation for u, we get:
u = e^(e^(3u)/3) * e^(10t/3 + ln(7/e^(e^21/3)))
This is the solution to the given separable differential equation for u, with the initial condition u(0) = 7.
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explain how to get the answer
For the first values of x, the values of 1/x are given below:
0.500.830.400.070.20For the second value of x, the values of 1/x are given below:
0.050.080.040.0070.02For the third value of 1/x, the values of x is given below:
5.08.34.07.142.0Calculations and ParametersIn order to find 1/x, we would have to put the value of x as the denominator and 1 as the numerator.
For x= 2
The value of 1/x would be 1/2 = 0.50
For x= 1.2
The value of 1/x would be 1/1.2= 0.83
Follow the same sequence to get the other answers.
For 1/x= 0.2
The value of x would be 1/0.2= 5.0
This is because
For 1/x= 0.2,
You would cross multiply and then find the value of x
Apply the same method to the other values.
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A person who is 60 in. tall casts a shadow that is 15 in. long. How tall is a nearby tree that casta a shaow that is 40 inches long?
The height of a nearby tree that casts a shadow that is 40 inches long is given as follows:
160 inches.
How to obtain the height of the tree?The height of the tree is obtained applying the proportions in the context of the problem.
A person who is 60 in. tall casts a shadow that is 15 in. long, hence the ratio between the actual height and the shadow is given as follows:
60/15 = 4.
Hence the height of the tree is given as follows:
40 x 4 = 160 inches.
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Container A has 1600 ml of water and is leaking 12 ml per minute.
Container B has 2000 ml and is leaking 20 ml per minute.
Let m represest the number of minutes the contains are leaking.
How many minutes, m, will it take for the two containers to have the same amount of water
Answer:
at 50 minutes both containers will be at 1000 ml having the same amount of water
Step-by-step explanation:
look at the image
-24/12=
F)12
G)-12
H)2
J)-2
K)None
Answer:
J -2
Step-by-step explanation:
A negative divided by a positive is a negative.
Helping in the name of Jesus.
Help me with answer asp
Answer:
picture #1 - 50.27 square units
picture #2 - 113.10 square units
picture #3 - 380.13 square units
Step-by-step explanation:
picture #1 - area = πr^2 -> π*4^2 = 50.27 square units
picture #2 - area = πr^2 -> π*6^2 = 113.10
picture #3 - area = πr^2 -> π*11^2 = 380.13
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
there are basic chart types and specialized chart types. a gantt chart is a specialized chart type.
A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes.
Yes, there are indeed basic chart types as well as specialized chart types. Basic chart types include things like bar graphs, line graphs, and pie charts, while specialized chart types are designed for more specific purposes, such as organizational charts, flowcharts, and Gantt charts.
In particular, a Gantt chart is a specialized chart type that is commonly used in project management to help visualize the tasks, milestones, and dependencies involved in a project. It is designed to show a timeline of when each task or activity needs to be completed, as well as how long it will take and what resources will be needed.
Overall, while basic chart types are great for general data visualization purposes, specialized chart types like Gantt charts can be incredibly useful for specific tasks or industries, and can help users to more effectively communicate and manage complex information.
A Gantt chart is indeed a specialized chart type. Basic chart types include bar charts, line charts, and pie charts, which are commonly used for visualizing data. Specialized chart types, such as Gantt charts, serve more specific purposes. A Gantt chart is designed for project management and helps visualize a project's timeline, tasks, and progress, making it easier to manage and allocate resources.
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in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.
According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.
Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
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© A boy has N800. He spends N160. What
fraction of his original money does he have
ter
left?
Answer:
4/5
Step-by-step explanation:
\(800 - 160 = 640 \\ \frac{640}{800} = \frac{4}{5} \)
The measure of two sides of a triangle are given. Between what two numbers
must the third fall? Complete the inequality.
9 and 15
find the x and y intercepts of the line calculator
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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If the shaded strip diagram represents 100% then which strip diagram represents 150%
Answer:
Your answer should be C.
Step-by-step explanation:
In order to make 150% you need a whole which represents the 100%. Which leaves B out of the question. A Is not close to half of a bar, which you can also eliminate. C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded, in this case D is 4 shaded and 2 unshaded which is wrong. So, your answer is C because there is 3 shaded and unshaded boxes in the model, hope this helps!
The diagram that represents 150% should be C.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
In order to make 150% we need a whole which represents the 100%. Which leaves B out of the question.
Option A Is not close to half of a bar, which we can also eliminate.
Option C and D are somewhat the same but it has to have the same amount of boxes shaded and unshaded,
In this case D is 4 shaded and 2 unshaded which is wrong.
Therefore, the answer is C because there is 3 shaded and unshaded boxes in the model.
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The distance between two stars increases at a rate of 3 centimeters per month. What is the rate in inches per year?
The rate of increase of the distance 14.2 inches per year
How to determine the rate in inches per year?From the question, we have the following parameters that can be used in our computation:
Rate of increase = 3 centimeters per month.
There are 12 months in a year
So, we have the following representation
Rate of increase = 3 centimeters per 1/12 year
This gives
Rate of increase = 36 centimeters per year
Next, we convert centimeters to inches
This gives
Rate of increase = 36/2.54 inches per year
Evaluate
Rate of increase = 14.2 inches per year
Hence, the rate is 14.2 inches per year
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pls helpppp asap the question is “what is the equation of the table?”
The difference between each x and y is 3:
4-3 = 1
5-3 = 2
6-3 = 3
The equation would be y = x -3
Find the value of x.
93
2x + 12
Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabout, to pass off the baton to Shelly at point A.
If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?
Use π≈3.14 and round your answer to the nearest meter.
Enter your answer as a number, like this: 42
Answer:
Jamie must sprint 107 meter to pass Shelly at point A.
Step-by-step explanation:
Circumference of a sector of the circle is represented by,
Circumference = \(\frac{\theta}{360}(2\pi r)\)
where θ = central angle subtended at the center by an arc
r = radius of the circle
\(m(\widehat{AB})\) = \(\frac{123}{360}(2\pi )(50)\)
= 34.1667π
= 107.34 meter
≈ 107 meter
Therefore, Jamie must sprint 107 meter to pass Shelly at point A.
One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.
a.) What fraction of the students in Mrs. Hayko's class take the bus to school?
b.) How many students might be there in her class?
Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Step-by-step explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.
Use the Law of Sines to find all triangles if a = 50", a =25, b = 26. While working, keep at least 4 decimal places. Round all final answers to 2 decimal places.
The triangle with A = 50, a = 25, and b = 26 has the following Angle B = 64.76 degrees Angle C = 65.24 degrees Side c = 40.49
To use the Law of Sines
sin(A)/a = sin(B)/b = sin(C)/c
Given A = 50, a = 25, and b = 26, we can use this formula to find the angles B and C and the side c.
Angle B
sin(B)/26 = sin(50)/25
sin(B) = (26 × sin(50))/25
B = arcsin((26 × sin(50))/25)
B ≈ 64.76 degrees.
The sum of angles in a triangle is always 180 degrees, so we can find C by subtracting A and B from 180
C = 180 - A - B
C = 180 - 50 - 64.76
C = 65.24 degrees
Side c
sin(C)/c = sin(A)/a
sin(C)/c = sin(50)/25
c = (25 × sin(C))/sin(50)
c ≈ 40.49
Therefore, the triangle with A = 50, a = 25, and b = 26 has the following Angle B = 64.76 degrees Angle C = 65.24 degrees Side c = 40.49
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Wiseman Video plans to make four annual deposits of $2,000 each to a special building fund. The fund’s assets will be invested in mortgage instruments expected to pay interest at 12% on the fund’s balance. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Using the appropriate annuity table, determine how much will be accumulated in the fund on December 31, 2019, under each of the following situations.
1. The first deposit is made on December 31, 2016, and interest is compounded annually.
Table or calculator function: FVA of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $9,559
2. The first deposit is made on December 31, 2015, and interest is compounded annually.
Table or calculator function: FVAD of $1
Payment: $2,000
n = 4
i = 12%
Fund balance 12/31/2019: $10,706
3. The first deposit is made on December 31, 2015, and interest is compounded quarterly.
Using the FV of $1 chart, calculate the fund balance:
Deposit Date i = n = Deposit Fund Balance 12/31/2019
12/31/2015 3% 16 $2,000 $3,209
12/31/2016 3% 12 2,000 2,852
12/31/2017 3% 8 2,000 2,534
12/31/2018 3% 4 2,000 2,251
$10,846
4. The first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019
$2,000 $8,000
The fund balance at the end of 2019 will be $8,000.
The given problem has four different parts, where we are supposed to calculate the accumulation of funds at the end of 2019 in different scenarios.
Scenario 1In the first scenario, the first deposit is made on December 31, 2016, and interest is compounded annually.
Using the FVA of $1 table; Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $9,559
Hence, the fund balance at the end of 2019 will be $9,559.Scenario 2In the second scenario, the first deposit is made on December 31, 2015, and interest is compounded annually.
Using the FVAD of $1 table;Payment: $2,000n = 4i = 12%
Fund balance 12/31/2019: $10,706 Therefore, the fund balance at the end of 2019 will be $10,706.Scenario 3In the third scenario, the first deposit is made on December 31, 2015, and interest is compounded quarterly. Using the FV of the $1 chart, we get the following calculation:
Deposit Date i = n = Deposit Fund Balance 12/31/2015 3% 16 $2,000 $3,20912/31/2016 3% 12 $2,000 $2,85212/31/2017 3% 8 $2,000 $2,53412/31/2018 3% 4 $2,000 $2,251
The interest rate is 3%, and the payment is $2,000. Hence, the fund balance at the end of 2019 will be $10,846.Scenario 4In the fourth scenario, the first deposit is made on December 31, 2015, interest is compounded annually, and interest earned is withdrawn at the end of each year.
Deposit Amount No. of Payments Interest left in Fund Fund Balance 12/31/2019$2,000 $8,000 Hence, the fund balance at the end of 2019 will be $8,000.
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when computing the correlation​ coefficient, what is the effect of changing the order of the variables on​ r?
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.
The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.
For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.
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-3(3-8j) answer pls i need to make up my grade , what’s the answer?
Answer: if the j is supposed to be there, the answer is -9+24j. if the j is not there then just -9+24.
Step-by-step explanation: we distribute the -3 to the 3 and the -8. (-3x3=-9) and (-3x-8=24). when you multiply for divide by a single negative it is negative. when there are two negatives the answer will come out positive.
If a bottle of
soda is 2 liters
how many
gallons is it?
Answer: A 2 liter bottle equals . 528344 US gallons or . 439938 imperial gallons.
Step-by-step explanation: