Answer:
4.25
Step-by-step explanation:
Answer:
m = 4.25
Step-by-step explanation:
8/5 = 2/(m - 3)
Cross multiply.
8(m - 3) = 2 * 5
8m - 24 = 10
8m = 34
m = 4.25
Which of the following statements is FALSE?
a.) A correlation coefficient of 1 could mean that the relationship is just a coincidence,
b.) A high correlation between the explanatory and response variables is sufficient to prove causation
c.) A correlation between -1 and 1 establishes a relationship, but not necessarily a causation
d.) A controlled experiment can give the best evidence for causation
The statement which is false is; Choice A; A correlation coefficient of 1 could mean that the relationship is just a coincidence.
Correlation and CausationCorrelation analysis is a statistical measure of how two variables are related. The correlation coefficient (r) is a statistic parameter that tells one the strength and direction of that relationship.
On this note, when r = 0 means there is no correlation. r = 1 means there is perfect positive correlation. r = -1 means there is a perfect negative correlationCausation, otherwise termed "cause and effect" indicates that one event is the result of the occurrence of another event.Read more on correlation and causation:
https://brainly.com/question/964703
A boat traveled 17 miles in 2 hours. At this rate, how many miles will the boat
travel in 1/2
hour?
Answer:
Travels 4.25 miles in thirty minutes
Step-by-step explanation:
In order to find the answer to this question you need to first find how many miles the boat travels in a hour and then divide it once more to find how many miles it traveled in half a hour.
\(17\div2\)
\(`7\div2=8.5\)
\(2=17\)
\(1=8.5\)
\(8.5\div2=4.25\)
\(=4.25\)
Hope this helps.
Is "2.323223222…" a rational number.
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.
Help me how do I graph this I don’t understand at all?????????
In a short sentences please, Prove that the sum of two rational numbers is rational. THANK YOU!!!
The sum of two rational numbers is rational because the sum of any two fractions with rational numerators and denominators can be expressed as a fraction with a rational numerator and denominator.
How does this work?A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not equal to zero. For example, 1/2, -3/4, 6/5, and 0 are all rational numbers.
When we add two rational numbers together, we can use the following formula:
a/b + c/d = (ad + bc) / bd
where a, b, c, and d are integers and b and d are not equal to zero.
This formula tells us that the sum of two rational numbers is also a rational number. The numerator of the sum is found by cross-multiplying the fractions, and the denominator of the sum is found by multiplying the denominators.
For example, if we want to add 1/2 and 2/3 together, we can use the formula above:
1/2 + 2/3 = (1 x 3 + 2 x 2) / (2 x 3) = 7/6
Therefore, the sum of 1/2 and 2/3 is 7/6, which is also a rational number. This formula can be used to prove that the sum of any two rational numbers is also a rational number.
#SPJ1
A rational number is a number that can be written as \(\dfrac{a}{b}\) where \(a,b\in\mathbb{Z}\) and \(b\not=0\).
If one number is \(\dfrac{a}{b}\) and the other is \(\dfrac{c}{d}\), where \(b,d\not=0\), their sum is \(\dfrac{a}{b}+\dfrac{c}{d}=\dfrac{ad+bc}{bd}\). Since the set of integers is closed under addition and multiplication, we can write that \(\dfrac{ad+bc}{bd}=\dfrac{e}{f}\) where \(e,f\in\mathbb{Z}\) and \(f\not=0\), thus proving the sum of two rational numbers is a rational number.
A drawing of a triangle. The base equals 11 feet and the height equals 4 feet.
hellpppp
Answer:
if you are looking for the area, it would be 22ft
Step-by-step explanation:
Answer:
About 11.7
Step-by-step explanation:
In order to find the hypotenuse (if this is what you are looking for), you would use pythagorean theorem. This states : A squared + B squared = C squared. Our legs that you have given us (A and B) are 11 and 4. When we square these values, we get 121+16=137. Now we square the value of 137. To square the value, multiply numbers until you reach this number. Because the value 137 is odd, it will end up being a decimal when squared which is about 11.7
I also want to point out that all hypotenuse will be longer than the legs.
An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
Learn more about hypothesis on:
brainly.com/question/15980493
#SPJ12
Use a net to find the surface area of the cylinder. Use 3.14 for pie
Answer:
62.83
nearest tenth 62.8
Suppose that a motorboat is moving at 39 Ft/s when its motor suddenly quit and then that 9 s later the boat has slowed to 20 ft/s . Assume that the resistance it encounters while coasting is propotional to its velocity so that dv/dt = -kv . how far will the boat coast in all?
The boat will coast ___ feel
(Round to the nearest whole number as needed.)
The boat will coast approximately 322 feet before coming to a complete stop. (Rounded to the nearest whole number.)
To find how far the boat will coast, we need to integrate the differential equation dv/dt = -kv, where v represents the velocity of the boat and k is the constant of proportionality.
Integrating both sides of the equation gives:
∫(1/v) dv = ∫(-k) dt
Applying the definite integral from the initial velocity v₀ to the final velocity v, and from the initial time t₀ to the final time t, we have:
ln|v| = -kt + C
To find the constant of integration C, we can use the given initial condition. When the motorboat's motor suddenly quits, the velocity is 39 ft/s at t = 0. Substituting these values into th function with respect to time:
∫v dt = ∫e^(-kt + ln|39|) dt
Integrating from t = 0 to t = 9, we get:
∫(v dt) = ∫(39e^(-kt) dt)
To solve this integral, we need to substitute u = -kt:
∫(v dt) = -39/k ∫(e^u du)
Integrating e^u with respect to u, we have:
∫(v dt) = -39/k * e^u + C₂
Now, evaluating the integral from t = 0 to t = 9:
∫(v dt) = -39/k * (e^(-k(9)) - e^(-k(0)))
Since we have the equation ln|v| = -kt + ln|39|, we can substitute:
∫(v dt) = -39/k * (e^(-9ln|v|/ln|39|) - 1)
Using the given values, we can solve for the distance the boat will coast:
∫(v dt) = -39/k * (e^(-9ln|20|/ln|39|) - 1) ≈ 322 feet
Therefore, the boat will coast approximately 322 feet.
To learn more about equation , click here:
brainly.com/question/30265549
#SPJ1
When does a company's break-even point occur?
A company's break-even point is the level of sales or revenue that the company needs to generate in order to cover all of its expenses and to neither make a profit nor incur a loss.
What is company's break-even point?The amount of sales or revenue that a business must achieve in order to pay all of its costs while not turning a profit or suffering a loss is known as the break-even point. The company's total income and entire costs are equal at the break-even point.
In other words, the firm reaches its break-even point when its entire income matches the sum of its total variable expenses and total fixed costs. Raw materials, labor, and commissions are examples of expenses known as variable costs that fluctuate in response to variations in the volume of production or sales. Rent, salary, and insurance are examples of fixed expenditures that don't fluctuate while output or sales alter.
Learn more about break-even point here:
https://brainly.com/question/29063970
#SPJ1
8x 2 + [ 3x3-8] = with explanation pls and its due in six minutes
Answer: 16x+3x^3−8
Please mark me brainliest :)
a. (5) The demand function for a good X is Qx= m-3Px+2Py, where m is income, Px is the price of X, Py is the price of a related good Y and Qx is the demand for X. Income and prices are all positive. X
The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.
The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.
To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.
Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.
To know more about the factors affecting the demand for good X, refer here:
https://brainly.com/question/32566433#
#SPJ11
A line extending from the upper left to the lower right has this type of slope.
Answer:
Well this would be a negative slope since it is going down.
i have chekd and is infect a is a negative slope
A candy store uses 10. 3 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
The candy store will use 103 grams of sugar in 10 hours.
To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).
To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.
We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.
So the calculation would be:
10.3 grams/hour x 10 hours = 103 grams
Therefore, the candy store will use 103 grams of sugar in 10 hours.
Learn more about Basic Maths:
https://brainly.com/question/17083065
#SPJ4
Consider the following linear programming problem.
Maximize
P = 3x + 5y
subject to the constraints
x + 3y ≤ 12
−2x − 3y ≥ −18
x ≥ 0, y ≥ 0.
(a) Write the linear programming problem as a standard maximization problem.
Maximize P =
subject to
? ≤ 12
? ≤ 18
x ≥ 0
y ≥ 0
The given linear programming problem needs to be written as a standard maximization problem. We need to rewrite the objective function and constraints accordingly.
To write the linear programming problem as a standard maximization problem, we need to make a few adjustments.
Objective Function:
The objective function in the given problem is P = 3x + 5y. To rewrite it as a standard maximization problem, we can keep it as it is.
Constraints:
1. x + 3y ≤ 12: This constraint remains the same.
2. -2x - 3y ≥ -18: To convert it into the form ""≤"", we can multiply both sides by -1 and reverse the inequality sign:
2x + 3y ≤ 18.
3. x ≥ 0: This constraint remains the same.
4. y ≥ 0: This constraint remains the same.
Putting it all together, the linear programming problem can be written as:
Maximize P = 3x + 5y
subject to:
x + 3y ≤ 12
2x + 3y ≤ 18
x ≥ 0
y ≥ 0
To know more about linear programming, click here: brainly.com/question/31140385
#SPJ11
Some students painted a design on the wall of the cafeteria using the school colors.
The middle section of the design is 4.2 feet tall, and is painted white. The top section is red, and the bottom section is blue. The ratio of the height of the blue section to the height of the red section is 1 : 2. The total height of the design is 10.5 feet. Find the height of the red section of the design
The height of the red section of the design is 4.2 feet.
What is the height of the red section of the design?Ratio is used to compare two or more numbers together. The first step is to determine the total height of the red section and the blue section.
Height of the blue and red section = total height - height of the white section
10.5 - 4.2 = 6.3 feet
Now determine the height of the red section.
Height of the red section = (ratio that represents the red section / sum of ratios) x height of the blue and red section
(2 / 3) x 6.3 = 4.2 feet
To learn more about ratios, please check: https://brainly.com/question/19910662
#SPJ1
a bag contains 15 pieces of candy, 9 of which are lemon drops. in how many ways can 3 lemon drops be selected?
There are 84 ways to select 3 lemon drops from the bag.
To arrive at this answer, we can use the combination formula:
nCr = n! / r! (n-r)!
Where n is the total number of items in the bag (15), r is the number of items we want to select (3), and ! represents factorial (the product of all positive integers up to that number).
So, to find the number of ways to select 3 lemon drops, we plug in n=9 and r=3:
9C3 = 9! / 3!(9-3)!
= (9 x 8 x 7) / (3 x 2 x 1)
= 84
Therefore, there are 84 ways to select 3 lemon drops from the bag.
using the combination formula, we can determine the number of ways to select a specific number of items from a larger set. In this case, there are 84 ways to select 3 lemon drops from a bag containing 15 pieces of candy, 9 of which are lemon drops.
To know more about combination visit:
https://brainly.com/question/31586670
#SPJ11
Given a normal distribution of the lengths of wing-spans of a certain butterfly has a mean of 20 mm and standard deviation 3.5 mm. Find, ROUNDING YOUR ANSWERS TO 4 DECIMAL PLACES. A) What wing-span has an area of 0.1005 on it left side under the standard normal curve? B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
Answer:
a) 15.52mm
b) 25.8275mm
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.
A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?
This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.28 = \frac{X - 20}{3.5}\)
\(X - 20 = -1.28*3.5\)
\(X = 15.52\)
This wing-span is 15.52mm.
B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?
This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.
\(Z = \frac{X - \mu}{\sigma}\)
\(1.665 = \frac{X - 20}{3.5}\)
\(X - 20 = 1.665*3.5\)
\(X = 25.8275\)
This wing-span is 25.8275mm.
Find the value of x in the triangle shown below.
Answer:
20
Step-by-step explanation:
This triangle can be solved using the Pythagorean theorem. 16^2+12^2=x^2. 16^2+12^2=400. If we set 400 equal to x^2, x=20.
Write as a single power of 11 ( 11 − 9 ) 3
The expression (11^(-9))³, as a single power of 11, using the power of power exponential property, is given as follows:
11^(-27).
What is the power of power exponential property?
The power of power exponential property is used when a base is elevated to multiple exponents. Then the number can be written as a single power of the base multiplying the exponents.
The general format of this property is:
(a^b)^c = a^(b x c).
In which the base and the exponents are given as follows:
The base is of a.The exponents are of b and c.In this problem, the expression is:
(11^(-9))³
The multiplication of the exponents is:
-9 x 3 = 27.
Hence the expression as a single power of 11 is given as follows:
11^(-27).
More can be learned about the power of power exponential property at https://brainly.com/question/11975096
#SPJ1
f(x) = 6x - 2; g(x) = 2x - 4
Find f - g.
Fill in the blanks: The number of hours it takes for a certain metal part to wear out is assumed to be from a population with a normal probability distribution with a mean of 1,100 hours and a standard deviation of 83 hours. If this is true, then approximately 68 percent of the parts are predicted to wear out between ________ and ________ hours of operation.
approximately 68 percent of the parts are predicted to wear out between 1,017 and 1,183 hours of operation.
To determine the range of hours within which approximately 68 percent of the parts are predicted to wear out, we can use the concept of the empirical rule, also known as the 68-95-99.7 rule. According to this rule, for a normal distribution:
- Approximately 68 percent of the data falls within one standard deviation of the mean.
- Approximately 95 percent falls within two standard deviations.
- Approximately 99.7 percent falls within three standard deviations.
In this case, we have a normal distribution with a mean of 1,100 hours and a standard deviation of 83 hours.
To find the range within which approximately 68 percent of the parts are predicted to wear out, we calculate one standard deviation above and below the mean:
Lower bound: Mean - 1 * Standard Deviation = 1,100 - 83 = 1,017 hours
Upper bound: Mean + 1 * Standard Deviation = 1,100 + 83 = 1,183 hours
To know more about mean visit:
brainly.com/question/31101410
#SPJ11
X
The equation ² - 8x+y+16y=41 is the equation of a circle.
Complete the square to determine the center and a radius of a circle.
(3 pts)
|
√∞
-
+
The Center of the circle is (4, -8) and radius of the circle is 11 units.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
We have given circle in the plane has the equation;
x² + y² -8x + 16y=41
Now we will convert this equation to the standard form of the circle;
x² + y² -8x + 16y=41
[x² - 2(4)x] + [y² + 2(8)x] =41
[x² - 2(4)x + 4²] + [y² + 2(8)y + 8²] = 4² + 8² +41
(x - 4)² + (y + 8)² = 16 + 64 +41
(x - 4)² + (y + 8)² = 121
(x - 4)² + (y + 8)² = 11²
By comparing this equation with the standard equation of the circle as;
(x - h)² + (y - k)² = r²
The Center of the circle= (4, -8)
The radius = 11 units.
Learn more about circle here;
brainly.com/question/12512221
#SPJ1
In a math class with 22 students, a test was given the same day that an assignmentwas due. There were 14 students who passed the test and 13 students who completedthe assignment. There were 6 students who failed the test and also did not completethe assignment. What is the probability that a student chosen randomly from theclass passed the test and completed the homework?
Let:
A = students who passed the test = 14
B = students who completed the assignment = 13
N = Total students = 22
(A⁺ ∩ B⁺) = 6
P(A ∪ B) = 1 - 6/22 = 8/11
P(A ∩ B) = P(A) + P(B) - P(A ∪ B) = 14/22 + 13/22 - 8/11 = 1/2
P(A|B) = P(A ∩ B)/P(B) = (1/2)/(13/22) = 11/13 ≈ 0.85 ≈ 85%
If three hamburgers cost $7. 50 altogether what is the price of one hamburger
If you buy three hamburgers, the cost of each hamburger is $2.50.
One hamburger costs $2.50.
To determine the price of one hamburger, first take the total cost of all three hamburgers, which is $7.50.
Then, divide the total cost of all three hamburgers by the number of hamburgers, which is three.
This yields $2.50, which is the price of one hamburger.
One of the four fundamental arithmetic operations, or how numbers are joined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
For more questions on Word problem on division
https://brainly.com/question/30966054
#SPJ4
Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the
To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.
When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.
To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.
By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.
To know more about regression equation,
https://brainly.com/question/32690163
#SPJ11
help if you can please
Answer:
a. iii
b. ii
c. i
d. v.
e. iv
Step by Step:
Violet rents a bike in a city she is visiting. She pays an initial fee of $2.50 plus $3.75 per hour she rents the bike. Which equation can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike?
Answer: y = 3.75x + 2.50
Step-by-step explanation:
The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:
y = 3.75x + 2.50
Explanation:
Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:
write 6x+2y=-12 in slope intercept form
Answer:
y = -3x - 6
Step-by-step explanation:
Slope intercept form:
y = mx +b
6x + 2y = -12
2y = -6x - 12
\(\frac{2y}{2}=\frac{-6x}{2} - \frac{12}{2}\\\\ y = -3x - 6\)
Answer:
Step-by-step explanation:
Write in slope-intercept form
y=-3x-6
everyday a person uses about 90 liters of water at home 6 gallons is about 23 liters about how many liters of water does a person use at home daily?
Answer:
90 liters
Step-by-step explanation:
It's given in the question!