Question 7 of 10
Which number produces a rational number when added to?
Ο Α. π
OB. -1.41421356...
2
O C.
C. -
3
O D. √11
SUBMIT
Answers
The number π produces a rational number (117/35) when added to 1/5
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero
π = 22/7, hence:
π + 1/5 = 22/7 + 1/5 = 117/35
The number π produces a rational number (117/35) when added to 1/5
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Related Questions
Question 6 Helping hand who?
Answers
This is false. The inverse of the function is still a function.
What is the inverse of a function?The inverse of a function is a new function that "undoes" the original function. More specifically, given a function f(x), its inverse function, denoted by f^-1(x), is a function that reverses the input and output of the original function, such that for any input x, applying the inverse function to f(x) yields x.
The inverse of this graph that we have here would give us a graph that would be in a reverse n shape from what we see here.
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A dessert recipe calls for 6 cups of cereal for every 4 cups of marshmallows. If a baker makes a 25-cup batch of treats using the proportions of the recipe, which statement is true?
The baker uses 6 cups of cereal and 19 cups of marshmallows.
The baker uses 6 cups of cereal and 19 cups of marshmallows.
The baker uses 10 cups of cereal and 15 cups of marshmallows.
The baker uses 10 cups of cereal and 15 cups of marshmallows.
The baker uses 15 cups of cereal and 10 cups of marshmallows.
The baker uses 15 cups of cereal and 10 cups of marshmallows.
The baker uses 19 cups of cereal and 6 cups of marshmallows.
The baker uses 19 cups of cereal and 6 cups of marshmallows.
Answers
Answer: c
Step-by-step explanation:
Q2 but same problem: If we unmatched the pairs, how many participants would be in cell a, cell b, cell c and cell d? A matched-pair case-control study was conducted in order to assess if there is a relationship between serum Vitamin D levels and migraine headaches.The results are shown below: Control Control With migraline No Migraine (CascHich Vitamin D 22 49 (CaseLow Viamin D 36 18 What is the result of the matched-pair odds ratio? Ansiver should be innmerical fonn.Avoid extra spaces before and after your ansivers.Ansiver should be in tvo decimal places Enter your answer into the box
Answers
If we assume missing values as zero, the number of participants in each cell would be as follows: Cell A would have 22 participants, cell b would have 49 participants, cell c would have 36 participants and cell d would have 18 participants.
Assuming missing values are zero, we can determine the number of participants in each cell:
Cell a: Control, No Migraine, High Vitamin D - 22 participants
Cell b: Control, No Migraine, Low Vitamin D - 49 participants
Cell c: Control, With Migraine, High Vitamin D - 36 participants
Cell d: Control, With Migraine, Low Vitamin D - 18 participants
These numbers represent the counts of participants based on the given information. In a matched-pair case-control study, participants are paired based on certain characteristics or factors. In this study, the pairs were formed to match individuals with and without migraine headaches within the control group, and their corresponding vitamin D levels were recorded.
The cells indicate the combinations of migraine status and vitamin D levels for the control group. By assuming missing values as zero, we are making the assumption that there are no additional participants in those particular cells.
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Find the length of the side labeled x. Explain.
Answers
The value of the length marked x is 61.5
What is trigonometrical ratio?Trigonometric ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sine, cosine, and tangent ratios. The other important trig ratios, cosec, sec, and cot can be derived using the sin, cos and tan respectively.
First using left hand side
Cos = Adj/Hypo
Cos22 = Adj/50
Adj = 50 * Cos 22
The adj = 50*0.9272
The adj = 46.4
The to find x, using
Cos 41 = 46.4/x
xCos41 =46.4
x = 46.4/Cos41
x = 46.4/.0755
Therefore the value of x = 61.5
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A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answers
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
fifteen less than -3 is?
Answers
Answer:
the answer is 12
Step-by-step explanation:
because you take 3 away from 15
state and interpret the y-intercept, if applicable. if not applicable, explain why.
Answers
The y-intercept of a function is the point at which it intersects the y-axis. In other words, it is the value of the function when the input (x) is zero.
Whether or not a function has a y-intercept depends on its equation and the nature of the function. For example, a linear function of the form y = mx + b (where m is the slope and b is the y-intercept) will always have a y-intercept, since b represents the value of y when x = 0. On the other hand, some functions (such as circles or exponential functions) do not intersect the y-axis and therefore do not have a y-intercept.
If a function does have a y-intercept, its value can provide useful information about the behavior of the function. For example, in a linear function, the y-intercept represents the starting point of the line and can be used to calculate the value of the function at any point along the line. In a quadratic function, the y-intercept represents the point at which the parabola intersects the y-axis and can provide information about the maximum or minimum value of the function.
In summary, the y-intercept is an important concept in mathematics that can provide valuable information about the behavior of a function. However, it is not always applicable, depending on the equation and nature of the function in question.
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Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!
Answers
Answer:
13x - 8y
Step-by-step explanation:
Step 1: Write expression
(6x - y) + (7x - 7y)
Step 2: Combine like terms
13x - 8y
A track and field coach wants to analyze the effect of sports drinks on the performance of his athletes. He decides to test three brands: Powerade, Gatorade and Vitaminwater. He will have each of the athletes complete a 400 meter run and record their times.
Which of the following represents a confounding variable? Mark all that apply.
A. He decides to give all male athletes Gatorade and the female athletes either Powerade or Vitaminwater.
B. He allows each athlete to choose their favorite drink from a cooler.
C. He has some of the athletes drink the sports drink two hours before running,others one hour before running, and the rest 30 minutes before running.
D. He has some of the athletes drink Gatorade two hours before running, others drink Powerade one hour before running, and the rest Vitaminwater half an hour before running.
Answers
Step-by-step explanation:
A confounding variable is a variable that affects the independent and dependent variables and may cause a false association between them. Therefore, in this case:
A. Giving males a different sports drink than females could be a confounding variable since gender may affect their performance.
C. The timing of the sports drink consumption could also be a confounding variable since it may affect the athlete's performance.
D. Giving different brands of sports drinks to the athletes can be a confounding variable since the different formulas in the sports drinks might affect the results.
Therefore, options A, C, and D represent confounding variables. Option B does not represent a confounding variable since allowing athletes to choose their preferred drink from a cooler is a valid way to ensure that each athlete is comfortable with their sports drink.
The sum of two number is negative fifteen, and one number is seven less than the other. Using the variables m and n to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma. Next find the two numbers. Enter them below, separated by a comma.
Answers
Answer
System of equation = m + n = -15, m - n = 7
The two numbers = -4, -11
Explanation
Let variables m and n represent the two numbers.
The sum of variables m and n is negative fifteen, This implies;
\(m+n=-15----i\)One number is seven less than the other implies;
\(\begin{gathered} m-n=7----ii \\ \text{Where;} \\ m\text{ is the greater number and} \\ n\text{ is the lesser number} \end{gathered}\)Hence, the system of equations that describe the situation is
\(\begin{gathered} m+n=-15----i \\ m-n=7-----ii \end{gathered}\)To find the two numbers, use the elimination method.
\(\begin{gathered} (i)+(ii) \\ \Rightarrow m+m+n+(-n)=-15+7 \\ 2m=-8 \\ \text{Divide both sides by 2} \\ \frac{2m}{2}=-\frac{8}{2} \\ m=-4 \end{gathered}\)To get n, substitute m = -4 into (i)
\(\begin{gathered} \text{Recall (i)} \\ m+n=-15---i \\ \Rightarrow-4+n=-15 \\ \text{Collect the like terms} \\ n=-15+4 \\ n=-11 \end{gathered}\)Therefore, the two numbers = -4, -11
Can anyone please help me will mark brainliest
Answers
Answer: the price is $19.60
Step-by-step explanation:
the volume of a rectangular pool is 1,080 cubic meters. its length, width, and depth are in the ratio 10:4:1. find the number of meters in each of the three dimesions of the pool
Answers
Therefore, the dimensions of the pool are 30 meters in length, 12 meters in width, and 3 meters in depth.
To find the dimensions of the rectangular pool, we first need to determine the ratio of the length, width, and depth. We are given that the ratio is 10:4:1. We can represent this ratio as:
Length = 10x
Width = 4x
Depth = x
Where x is a common factor that we will use to determine the actual measurements of the pool.
Now, we are given that the volume of the pool is 1,080 cubic meters. We can use the formula for the volume of a rectangular prism, which is:
Volume = Length x Width x Depth
Substituting the values we have for the length, width, and depth, we get:
1,080 = (10x) x (4x) x (x)
Simplifying the equation, we get:
1,080 = 40x^3
Dividing both sides by 40, we get:
27 = x^3
Taking the cube root of both sides, we get:
x = 3
Now that we know x is equal to 3, we can find the actual measurements of the pool by substituting x back into the original ratio we were given.
Length = 10x = 10(3) = 30 meters
Width = 4x = 4(3) = 12 meters
Depth = x = 3 meters
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A professor collects 50 independent and identically distributed observations of variables Y and X for a regression. Her student wishes to use the same data to run the same regression but the student makes an error of entering each observation twice. That is the student enters observation 1 twice, observation 2 twice and so forth so that the student has a sample of 100. Which OLS assumption is violated if the student uses this data to run a regression? Suppose the student does run a regression, will the slope coefficients be different from the professor’s regression?
Answers
The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.
If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.
In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.
Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.
However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.
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a population grows according to the given logistic equation, where t is measured in weeks. (a) what is the carrying capacity? what is the value of k? (b) write the solution of the equation. (c) what is the population after 10 weeks?
Answers
Answer:
Step-by-step explanation:
P(t) = K / (1 + (K/P0 - 1) * e^(-rt))
In this equation, P(t) is the population at time t, P0 is the initial population at time t=0, K is the carrying capacity, r is the intrinsic growth rate, and e is the base of the natural logarithm ( approximately 2.71828).
To find the carrying capacity, you can set P(t) equal to K and solve for t. This will give you the time at which the population reaches its carrying capacity.
To find the value of k, you can plug in the values for P(t), P0, and r and solve for K.
To write the solution of the equation, you can solve for t by rearranging the equation and taking the natural logarithm of both sides.
To find the population after 10 weeks, you can plug in the values for P0, K, r, and t=10 into the equation and solve for P(t).
I hope this helps! Let me know if you have any further questions.
The scatterplot below shows the association between two factors. The correlation was calculated as 0.93. If an additional datapoint (7,30) was added, what effect would this have on the correlation coefficient
Answers
The effect on the correlation coefficient if the additional data point was added would be a decrease.
How would the correlation coefficient change ?The correlation coefficient is a measure of the linear relationship between two variables. A value of 0.93 indicates a strong positive linear relationship. The additional data point (7,30) is an outlier, meaning that it is far away from the rest of the data points.
Outliers can have a significant impact on the correlation coefficient, especially if there are few data points. In this case, the outlier would pull the correlation coefficient down. The new correlation coefficient is approximately 0.85.
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find the npv and irr
if annual discount rate is 8% and
-860 in year 1, $920 in year 3
Answers
The NPV is -$37.65 and the IRR is approximately 11.55%. To calculate the net present value (NPV) and internal rate of return (IRR), we need to consider the cash flows and the discount rate.
Given cash flows:
Year 0: $0
Year 1: -$860
Year 3: $920
Discount rate: 8%
First, let's calculate the present value (PV) of each cash flow using the discount rate:
Year 0: $0 (no cash flow)
Year 1: PV = -$860 / (1 + 0.08)^1 = -$796.30
Year 3: PV = $920 / (1 + 0.08)^3 = $758.65
Now we can calculate the NPV by summing up the present values of all cash flows:
NPV = PV(year 1) + PV(year 3)
= -$796.30 + $758.65
= -$37.65
The NPV is -$37.65.
To calculate the IRR, we need to find the discount rate that makes the NPV equal to zero. In this case, we can use the trial and error method or utilize financial software or calculators to find the IRR. Let's assume the IRR is r%.
Using the cash flows and the IRR:
Year 0: $0
Year 1: -$860
Year 3: $920
Setting the NPV equal to zero:
0 = PV(year 1) + PV(year 3)
\(0 = -$860 / (1 + r)^1 + $920 / (1 + r)^3\)
Solving this equation for r gives us the IRR. However, solving this equation analytically can be complex, so it's better to use financial software or calculators.
Using a financial calculator or software, the IRR for these cash flows can be calculated as approximately 11.55%.
Therefore, the NPV is -$37.65 and the IRR is approximately 11.55%.
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I NEED AN ANSWER ASAP
Machine #1 can do a job in 5hrs. Operating with machine #2 they can do the job in 3 hrs. How long will it take machine #2 to do the job alone?
Answers
Step-by-step explanation:
Add 1 1/3+(-5/6) answer on a number line k12
Answers
The addition of 11/3 and (-5/6) is about 2.8 which is shown on a number line.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
The addition of 11/3 and (-5/6) is:
11/3 + (-5/6)
= 11/3 - 5/6
= (22-5)/6
= 17/6
= 2.8
Hence, the addition of 11/3 and (-5/6) is about 2.8 which is shown on a number line.
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Please help I’ve been on for 1/2 hours
Answers
1/2a-4 * = times
1/2*(a-8)
PLZ HELP! QUESTIONS ARE BELOW! :D
Answers
Answer:
1) 243 in.²
Step-by-step explanation:
1)
A = 18 in. * 18 in. - 9 in. * 9 in. = 243 in.²
Whats the slope if this line??
Answers
Answer:
-1/4
Step-by-step explanation:
because its going up one over 4 and the lines negative!
Answer:
-1/4
Step-by-step explanation:
The slope is going down towards the right so it's negative. Rise-1 and you Run-4 so the answer is -1/4. Hope this helps :)
according to benford's law, 5 will be the first digit of a random number set: a. more often than 1. b. more often than 3. c. about the same as 6. d. less often than 4.
Answers
According to Benford's law, 5 will be the first digit of a random number set is d. less often than 4.
According to Benford's law, which is an empirical law about the frequency distribution of leading digits in many real-life collections of numerical data, the digit 5 is actually the second least frequent leading digit after 1 and is less common than 4 as a first digit. In actuality,
Benford's rule states that the likelihood of a number having four as its first digit is nearly thirty percent, whereas the likelihood of a number having 5 as its first digit is approximately 25%. This is due to the fact that numbers with smaller starting digits are more common than those with bigger leading digits in many naturally occurring datasets.
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solve by quadratic formula:
3x^2+6x+1
Answers
Answer:x=0.183 x=-1.816
Step-by-step explanation:
Use Quadratic Formula
Mark Brainliest
11. A population of bacteria begins with 512 and is halved every day.
a) Write an equation for the number of bacteria y as a function of the
number of days x.
b) Graph the equation from part a.
c) What is the domain of the equation in the context of this problem?
d) What is the range of the equation in the context of this problem?
nit 5
Solving Quadratia Equations
Answers
a. The exponential function that represent the number of bacteria is
y = 512 * 0.5ˣ
b. The graph of the exponential function is below
c. The domain is all negative non-integers
d. The range is all positive non-integers
What is the equation for the number of bacteria y as a function of the number of days?a) The equation for the number of bacteria y as a function of the number of days x can be written as an exponential function
y = 512 * (1/2)ˣ
Where y represents the number of bacteria and x represents the number of days.
b) Kindly find the attached graph below.
c) In the context of this problem, the domain of the equation would be all non-negative integers, since we are considering the number of days, which cannot be negative.
d) The range of the equation would be all positive integers, since the number of bacteria starts at 512 and continues to decrease as the days increase.
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Find the product of (x − 5)2. X2 10x 25 x2 − 10x 25 x2 − 25 x2 25.
Answers
Answer:
x^2 -10x+25
Step-by-step explanation:
(x − 5)^2
(x-5)(x-5)
FOIL
first x*x = x^2
Outer -5 *x = -5x
inner -5*x = -5x
last -5*-5 =25
Add them together x^2 -5x-5x+25
Combine like terms x^2 -10x+25
Hey there!
(x - 5)^2
= (x - 5)(x - 5)
= x(x) + x(-5) - 5(x) - 5(-5)
= x(x) - 5(x) - 5(x) - 5(-5)
= x^2 - 5x - 5x + 25
COMBINE the LIKE TERMS
= x^2 - 10x + 25
Therefore, your answer is:
x^2 - 10x + 25
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Determine the range of the following graph:
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10-9-8-7-6-5-
1 2 3 4 5 6 7 8 9 10 11 12
-2
3
f
-9
-10
-12
Answers
Step-by-step explanation:
the range of a function is the interval or set of the possible and valid y (functional result) values.
the graph shows me that the produced y values are all between -4 and -9.
so, the range is [-9, -4] (smaller number on the left, larger number on the right). both sides included.
please consider that the excluded end point at (3, -6) does not make any difference, as the y value -6 is produced for 2 more x values (like x=-2). so, the y value -6 is included in the range nevertheless.
The coordinates on the graph represents the domain and the range in the form of (x, y).
Where x = domain and y = range.
The coordinates from the graph are:
(-6, -7) to (-4, -4)
(-4, -4) to (1, -9)
(1, -9) to (3, -6)
The range of the following graph is [-9, -4]
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
We have,
The graph has a curve where each point represents a coordinate in the form of (x, y).
Each of the coordinates represents the domain and the range.
x = domain
y = range
We see from the graph that,
(-6, -7) to (-4, -4)
(-4, -4) to (1, -9)
(1, -9) to (3, -6)
The range is from:
-7 to -4
-4 to -9
-9 to -6
We can write the range interval as:
[-7, -4] U [-4, -9] U [-9, -6]
[-9, -4]
Thus,
The range of the following graph is [-9, -4]
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Compute the coefficient of variation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37.
Answers
So first to find Standard deviation(S)
S= sqrt(sum of (point - mean)^2)/(n-1)
S=6.7528
^use online calc
Next mean = sum of numbers divided by number of numbers
Mean = 31.6
^online calc again
So coefficient = (6.7528/31.6) * 100
help me answer this please it’s due today
Answers
$5 for 1 shirt
y = cost
x = number be shirts
10y = 2x
5y = x
. A- Calculate the mean and standard deviation for the data set of annual monthly rainfall. B- Use the data to sketch the appropriate type of graph. Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Rainfall (cm) Mean = 2.79 2.0 18 Standard Deviation = 2.0 1.2 5.7 Graph 6.2 5.9 1.0 1.1 1.1 2.3 2.7 2.5 2-2.79 0.6241 0.9801 2.5281 8.4681 11.6281 9.6721 3.2041 2.8561 2.8561 0.a 401 6.00081 0.0841
Previous question
Answers
The mean rainfall is approximately 2.52 cm and the standard deviation is approximately 1.73 cm.
A) To calculate the mean and standard deviation for the given data set of annual monthly rainfall, we can use the following formulas:
Mean (µ) = (Sum of all values) / (Number of values)
Standard Deviation (σ) = sqrt((Sum of (value - mean)^2) / (Number of values))
Calculating the mean:
Sum of all values = 2.79 + 2.0 + 6.2 + 5.9 + 1.0 + 1.1 + 1.1 + 2.3 + 2.7 + 2.5 + 2.8 + 1.0 = 30.2
Number of values = 12
Mean = 30.2 / 12 = 2.5167 (approximately 2.52)
Calculating the standard deviation:
Sum of (value - mean)^2 = (2.79 - 2.52)^2 + (2.0 - 2.52)^2 + ... + (1.0 - 2.52)^2 = 0.6241 + 0.9801 + ... + 1.0401
Sum of (value - mean)^2 = 29.6524
Standard Deviation = sqrt(29.6524 / 12) = 1.7252 (approximately 1.73)
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the standard deviation is a parameter, but the mean is an estimator. T/F
Answers
The statement "the standard deviation is a parameter, but the mean is an estimator" is false. An estimator is a random variable that is used to calculate an unknown parameter. Parameters are quantities that are used to describe the characteristics of a population.
The standard deviation is a parameter, while the sample standard deviation is an estimator. Likewise, the mean is a parameter of a population, and the sample mean is an estimator of the population mean. Therefore, the statement is false because the mean is a parameter of a population, not an estimator. The sample mean is an estimator, just like the sample standard deviation. In statistics, parameters are values that describe the characteristics of a population, such as the mean and standard deviation, while estimators are used to estimate the parameters of a population.
The sample mean and standard deviation are commonly used as estimators of population mean and standard deviation, respectively. The mean is a parameter of a population, not an estimator. The sample mean is an estimator of the population mean, and the sample standard deviation is an estimator of the population standard deviation. The sample standard deviation is an estimator of the population standard deviation. In statistics, parameter estimates have variability because the sample data is a subset of the population data. The variability of the estimator is measured using the standard error of the estimator. In summary, the statement "the standard deviation is a parameter, but the mean is an estimator" is false because the mean is a parameter of a population, while the sample mean is an estimator.
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