The probability distribution which is associated with continuous outcomes is Triangular probability distribution. Binomial, Poisson and Custom probability distributions are associated with discrete outcomes.What is probability?Probability is a concept of how likely an event will occur. Probability is the branch of mathematics that deals with calculating the likelihood of one event occurring out of a range of possible outcomes. Probability can be used to predict the likelihood of future events.A binomial distribution is one of the discrete probability distributions. This means that there are only a set number of possible outcomes, which can take on certain numerical values. The Poisson distribution is also a discrete probability distribution. It is usually used to model rare events.The triangular distribution is a continuous probability distribution. It is named so because its shape forms a triangle. The distribution is symmetric and unimodal.
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Choose the kind(s) of symmetry: point, line, plane, or none. (C)
========================================================
Explanation:
Plane symmetry only applies to objects in 3D space. So choice A won't apply.
Point symmetry is where we can rotate the object some number of degrees (between 0 and 360 excluding the endpoints) and have it line up with itself. We can't do such a rotation, so this figure has no point symmetry. We rule out choice B.
Choice C works since we can reflect the upper half of the letter over the horizontal midline to have its reflection line up with the lower half, and vice versa. There is only one line of symmetry here.
Choice D is not true since choice C was shown to be true.
Answer: Is c-line
Step-by-step explanation:
The guy above me got it right I just did the quiz
Solve the system of equations and wright your answer as an ordered pair -5/4x-5/4y =25/41/5x+4/5y=1/5
(-7, 2)
STEP - BY - STEP EXPLANATION
What to find?
The solution to the given the system of equations .
Given:
\(\begin{gathered} -\frac{5}{4}x-\frac{5}{4}y=\frac{25}{4} \\ \\ \frac{1}{5}x+\frac{4}{5}y=\frac{1}{5} \end{gathered}\)To solve the above system of equations, we will follow the steps below:
Step 1:
Multiply through equation (1) by 4
\(-5x-5y=25\text{ ----------------------(2)}\)Step 2
Multiply through the second equation by 5.
\(x+4y=1\text{ -------------------------(3)}\)Step 3
Using substitution method to solve.
Make x the subject of formular.
\(x=1-4y-------------------(4)\)Step 4
Substitute equation(4) into equation (2).
\(-5(1-4y)-5y=25\)Step 5
Open the parenthesis.
\(-5+20y-5y=25\)Step 6
Collect like term.
\(\begin{gathered} 20y-5y=25+5 \\ 15y=30 \end{gathered}\)Step 7
Divide both-side of the equation by 15.
\(\begin{gathered} \frac{15y}{15}=\frac{30}{15} \\ \\ y=2 \end{gathered}\)Step 8
Substitute y=2 into equation (4) to determine the value of x.
\(\begin{gathered} x=1-4(2) \\ =1-8 \\ =-7 \end{gathered}\)Hence, x =-7 and y=2.
Therefore, the solution in ordered pair is (-7, 2)
Mr. Russell borrowed $350. The interest rate is 2.5% over 3 years. How much interest does he pay?
Answer:
850
Step-by-step explanation:
you do $350(2.5)
If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?
Definition: A function is "even" when f(x) = f(−x) for all x.
Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.
If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.
Answer: correct choice is A.
Stone runs 1 mile five times a week. How many miles does 4 he run each week? Write the equation you would use to solve. Then, fill in the grid with your answer. Tip: Fill in your answer as a fraction greater than 1.
The number of miles in 4 weeks is 20 mules
How to determine the number of milesFrom the question, we have the following parameters that can be used in our computation:
Stone runs 1 mile five times a week
This means that the rate is
Rate = 1 mile * 5 per week
So, we have
Rate = 5 miles per week
For 4 weeks, we have
Distance = 5 * 4
Evaluate
Distance = 20 miles
Hence, the distance is 20 miles
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Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors.
Answer:
Step-by-step explanation:
7x + 14 = 8.4x
14 = 1.4x
x = 10 hours
Each works 10 hours. Their total is 84 dollars each.
what does 19 2/9+27 5/8 + 6 7/36 equal?
Answer:83 1/3
Step-by-step explanation: Converting all of these to improper fractions gives us 173/9 + 221/8 + 259/7. Let's first worry about adding 173/9 and 221/8. To get a common denominator lets simply use 72 (8x9). The adjusted fractions are 1384/72 + 1989/72. Now we just do simple addition, we get 3373/72. Now the pesky 259/7. We will repeat the same process, let's use 504 as a denominator now (7x72). We now have 23611/504 + 18389/504 making our final answer 42000/504 or 250/3 or 83 1/3 simplified.
32. find a homomorphism f from u(30) to u(30) with kernel {1, 11} and f(7) 5 7.
To find a homomorphism from the group of units modulo 30 (u(30)) to itself, with a specific kernel and a given mapping of an element, we can construct such a homomorphism as f(7) = 5.
To construct the homomorphism f, we can define it as follows: f(x) = x mod 30, where x belongs to u(30). This means that for any element x in u(30), f(x) is equivalent to the residue class of x modulo 30. By using the modulo operation, f preserves the group operation, ensuring that the homomorphism property holds.
The kernel of f is the set of elements in u(30) that map to the identity element (1) under the homomorphism. In this case, the kernel is {1, 11}, as stated in the question. Additionally, we are given that f(7) = 5. This means that the residue class of 7 modulo 30 is 5 under the homomorphism f
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find two numbers whose difference is 164 and whose product is a minimum.
Answer: The lowest possible product would be -6724 given the numbers 82 and -82.
We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.
Next we'll multiply the numbers together.
x(x+164)
x^2 + 164x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -164/2(1) = -164/2 = -82
So we know one of the values is -82. We can plug that into the equation to find the second.
x + 164
-82 + 164
82
Step-by-step explanation: Hope this helps.
A real estate agent sold a house for $315,000 last week. If her commission is 3.25% of the selling price of the home, find the amount of her commission?
Answer:
Total commission= $10,237.5
Step-by-step explanation:
Giving the following information:
A real estate agent sold a house for $315,000 last week.
Commission= 3.25%
To calculate the value of the commission, we need to use the following formula:
Total commission= house value*commission percentage
Total commission= 315,000*0.0325
Total commission= $10,237.5
Is 82 inches grater than 5feet and 10 inches
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
Maria and Curtis both study a second language. Maria studies German 3 hours per week, and Curtis studies French 2 hours per week. Curtis has already studied 4 hours when Maria begins her studying. After how many weeks will they have studied the same number of hours? *You will need to create a system of equations (2 equations to solve for the variables). *
They will have studied the same number of hours after 4 weeks.
Let the number of weeks that Maria studies be w and let the number of weeks that Curtis studies be x,
Then equations to solve the problem:
Maria studies German 3 hours per week and Curtis studies French 2 hours per week.
Curtis has already studied for 4 hours when Maria begins her studying.
Therefore, the total number of hours that Maria studies is 3w (since she studies for 3 hours per week) and Curtis studies for 2(x - 2) + 4 = 2x so that he studies for 2 hours per week less than Maria but has a head start of 4 hours.
For Maria and Curtis to have studied the same number of hours, we can set the two equations equal to each other:
3w = 2x Next, we can substitute x with x = w + 2 since Curtis has a 4-hour head start.3w = 2(w + 2) Solving for w,
we get : w = 4
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The 10th-grade class officers ordered t-shirts and sweatshirts to sell as a fundraiser. each t-shirt weighed startfraction one-half endfraction. of a pound, and each sweatshirt weighed startfraction 3 over 4 endfraction of a pound. the total weight of the contents of the box was 43 and startfraction 3 over 4 endfraction pounds. which equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered? startfraction one-half endfraction t plus startfraction 3 over 4 endfraction s equals 43 and startfraction 3 over 4 endfraction startfraction 3 over 4 endfraction s equals negative startfraction one-half endfraction s plus 43 and startfraction 3 over 4 endfraction. 2t 3s = 175 3s = –2t 175
2t + 3s = 175 is the standard linear equation.
What are linear equations?
Equations of the first order are linear equations. Lines in the coordinate system are determined by linear equations. It is referred to be a linear equation in one variable when the equation only contains one homogeneous variable of degree 1. There might be more than one variable in a linear equation. Linear equations in two variables, for example, are those that have two variables in them.
Let the number of t-shirts = x = t
and the number of sweatshirts = y = s
Each t-shirt weighed 1/2 of a pound and the sweatshirt weighed 3/4 of a pound.
Total weight of t-shirt = \(\frac{1}{2}x\) pounds
Total weight of sweatshirt = \(\frac{3}{4} y\) pounds
Now, the total weight of the items in the box = \(43\frac{3}{4}\) pounds
∴ The total weight of the items = \(\frac{1}{2}x+\frac{3}{4} y\)
=> \(\frac{1}{2}x+\frac{3}{4} y=43\frac{3}{4}=\frac{4.13+3}{4}=\frac{175}{4}\)
Simplifying, we get,
2x + 3y = 175 or
2t + 3s = 175
Therefore, the equation written in standard form represents the number of t-shirts, t, and the number of sweatshirts, s, that were ordered is 2t + 3s = 175.
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The standard linear equation that represents the number of t-shirts 't' and the number of sweatshirts 's', that were ordered is 2t + 3s = 175.
What is an equation?An equation is the combination of variables, coefficients, and the constant with an arithmetic operation in between them. An equation represents a mathematical relationship between two expressions.Depending on the degree of the variables, the type of the equation is defined.For a degree 1, it is said to be a linear equation (for one or two variables).and for a degree 2, it is said to be a quadratic equation, etc.Calculation:The given data about the orders of shirts and sweatshirts by a 10th-grade class officer is as follows:
The number of t-shirts ordered by them = t
The number of sweatshirts ordered by them = s
The weight of the t-shirts = 1/2 t pounds
The weight of the sweatshirts = 3/4 s pounds
But it is given that, the total weight of the contents of the box = 43 3/4
I.e., 1/2 t + 3/4 s = 43 3/4
On simplifying, we get
(2t + 3s)/4 = 175/4
⇒ 2t + 3s = 175
Thus, the required linear equation is 2t + 3s = 175.
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What is a dependent variable, and what is an independent variable? I forgot.
Answer:
Independent variable is the measurement that that changes and the dependent variable is the result of the independent variable (aka the one that is being measured).
Step-by-step explanation:
im rlly frickin lost
pls help
Answer:
so far he has saved 27 dollars however he needs 33 more dollars
Step-by-step explanation:
okay so if it says "____ of x" you normally have to multiply (of is a hint)
so first lets see how much he saved
0.45(60) = 27
he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has
sooo
60 - 27 = 33
uhhh im not sure what the graph table thing on the right is, but i hope this helps a little
edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!
what is the approach to test the hypotheses using the binomial distribution for both non-directional and directional cases
To test hypotheses using the binomial distribution, set up hypotheses, determine the significance level, calculate critical values or p-values, and compare them to the significance level to make a decision.
To test hypotheses using the binomial distribution, we can follow these approaches for both non-directional and directional cases:
Non-Directional (Two-Tailed Test):Set up the null hypothesis (H₀) and alternative hypothesis (H₁) based on the research question.
Determine the significance level (α) for the test.
Calculate the critical values or the rejection regions based on the significance level.
Collect the sample data and calculate the observed test statistic (such as the number of successes in a fixed number of trials).
Calculate the p-value, which is the probability of obtaining a test statistic as extreme as the observed one under the null hypothesis.
Compare the p-value to the significance level. If the p-value is less than or equal to α, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Directional (One-Tailed Test):Set up the null hypothesis (H₀) and alternative hypothesis (H₁) based on the research question, specifying the direction of the expected effect.
Determine the significance level (α) for the test.
Calculate the critical value or the rejection region for the specified direction.
Collect the sample data and calculate the observed test statistic.
Calculate the p-value for the specified direction.
Compare the p-value to the significance level. If the p-value is less than or equal to α, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
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Sort the polygons.
Squares Not squares
Polygons are shapes that have the following:
-sides are all straight
-no overlapping
-shape is always closed
Hope this helps :)
Answer!!!!! Help!!!
Answer:
The answer is postulate
find f(2) given f(x) = 3x^2 + 2x + 16
Answer:
f(2) = 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² + 2x + 16
f(2) is x = 2
Step 2: Evaluate
Substitute: f(2) = 3(2)² + 2(2) + 16Evaluate: f(2) = 3(4) + 2(2) + 16Multiply: f(2) = 12 + 4 + 16Add: f(2) = 32And we have our answer!
What is the gradient of the line y 7x 3?
The given expression is of the form y=mx+c. Comparing, we get the slope as 7.
The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.
Given the expression is y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.
The complete question -
What is the gradient of the line y=7x+3?
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Help plsssssssssssssss
Answer:
38
Step-by-step explanation:
The sum of the measures of the 4 angles is 180°.
m<A + m<B + m<C + m<D = 180
60 + 2x + 3x + 25 = 180
5x + 85 = 180
5x = 95
x = 19
m<B = 2x = 2(19) = 38
Answer: 38
someone help me w my geometry homework plsss
Answer:
a) 87.2 b)84.2
Step-by-step explanation:
\(14a)\\tan(74)=\frac{x}{25} \\x=tan(74)*25\\x= 87.2\\\\\\b) tan(46)=\frac{87.2}{x} \\\\ x= \frac{87.2}{tan(46)} \\ x= 84.2\)
HELP ASAP PLEASE
(3^2)^4
Answer:
6561
Step-by-step explanation:
3^2= 3*3=9 9^4= 9*9*9*9= 6561
Answer:
\(((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561\)
Given that triangle RST is isosceles, find the value of x.
Answer:
x = 10
Step-by-step explanation:
RST is an isosceles triangle.
\(m\angle T = m \angle R\\\\
8x\degree = (3x + 50)\degree \\\\
8x = 3x + 50\\\\
8x - 3x = 50\\\|
5x = 50\\\\
x = \frac{50}{5} \\ \\ x = 10\)
Find the slope of -1:9 0:5 1:1,
-4/1
-1/4
1/4
4/1
Answer:
1/4
Step-by-step explanation:
A P E X
Answer: I’m a goofy goober yeah your a goofy goober yeah
Step-by-step explanation:
The table represents the function fix).
f(x)
X
-3
-2
−1
0
1
2
3
-3
0
3
69
9
What is (3)?
09
F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.
To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.
From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.
The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.
Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.
Therefore, the value of F(3) is 9. Option D is correct.
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Part b)A foam protector is covered with PVC material to make it waterproof. Find the total surface area of a protector which is covered by PVCmaterial.
SOLUTION
The diagram below would help
So from the diagram, we can see that
\(\text{Volume of the foam = volume of cuboid - volume of cylinder }\)Volume of cuboid is given as
\(\begin{gathered} V=l\times w\times h \\ \text{where }l=\text{length = 1.8 m} \\ w=\text{width = 300}mm=\frac{300}{1000}m=0.3m \\ h=\text{height }=\text{ 300}mm=\frac{300}{1000}m=0.3m \end{gathered}\)So volume of the cuboid becomes
\(1.8\times0.3\times0.3=0.162m^3\)Volume of a cylinder is given as
\(\begin{gathered} \pi r^2h \\ \text{where r = radius = }\frac{diameter}{2}=\frac{150}{2}mm=75mm=\frac{75}{1000}=0.075m \\ r=0.075m \\ h=1.8m \end{gathered}\)So, the volume of the cylinder becomes
\(\begin{gathered} \pi r^2h \\ \frac{22}{7}\times0.075^2\times1.8 \\ =0.03182m^3 \end{gathered}\)Hence volume of the Foam becomes
\(\begin{gathered} 0.162-0.03182 \\ 0.13018 \\ 0.13m^3 \end{gathered}\)Hence the answer is 0.13 cubic meter to 2 decimal places
irst consider a public good of value to Ann and Bob with the property that the value of the good can be expressed in monetary terms. In this case, the Samuelson condition states that the efficient level of the good is determined by MV +MVP where p is the per A B unit price of the good, and, for example, MV is Ann's marginal value of the good. Now consider a public good of value to Ann and Bob, the value of which CANNOT be expressed in monetary terms. In this case A O a. The Samuleson condition continues to work as in the case where values CAN be expressed in monetary terms. O b. We need more information before we can know how to modify the Samuelson condition. O c. The Samuelson condition is of no use because we cannot compare Ann's utility to Bob's. O d. The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.
When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.
Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.
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THE ANGLES OF THE TRIANGLE ARE IN THE RATIO 5:3:7. THE TRIANGLE IS,
a. an acute angled triangle
b. an obtuse angled triangle
c. a right angle
d. an isosceles triangle
Answer:
a. acute
Step-by-step explanation:
the angles are 60° 36° 84°
all less than 180° and 90°
Points 1 to 6To present y=-x^3+3x^2, 9 points must be selected, point 1: Domain, 2: zeros of the function, 3: period and symmetry, 4: sign of the function, 5: going to the edge of the function, 6: asymptotes, 7: monotony and extreme values, 8: concavity and convexity, 9: to present the function graphically.
ANSWERS
1. Domain: all real values
2. Zeros: 0 (with multiplicity 2) and 3
3. Not periodic. Symmetric about the point (1, 2)
4. Positive for x < 3; negative for x > 3
5. f → ∞ as x → -∞; f → -∞ as x → ∞
6. none
EXPLANATION
1. The domain of a function is the set of all the x-values for which the function exists. In this case, we have a polynomial function and, therefore, the domain is all real values.
2. To find the zeros of the function, we have to solve,
\(-x^3+3x^2=0\)First, factor x² and -1 out. To do so, we have to divide each term by x² and by -1 - or, in other words, divide by -x²,
\(\begin{gathered} -x^2\left(\frac{-x^3}{-x^2}+\frac{3x^2}{-x^2}\right)=0 \\ \\ -x^2(x^{3-2}-3x^{2-2})=0 \end{gathered}\)So, we have,
\(-x^2(x-3)=0\)In this equation, we can see that if x = 0, then the equation is true. Also, if x = 3 the equation is true. So, these are the two zeros, with the particularity that x = 0 has multiplicity 2. This is because the factor related to that zero is x squared.
Hence, the zeros are 0 and 3. 0 has multiplicity 2.
3. As mentioned before, this is a polynomial function, which means that it is not a periodic function. A cubic function is an odd function, and it is symmetric about the origin. However, this function is not the parent function, x³, but it is symmetric about the point (1, 2).
4. We know that the function is zero at x = 0 and at x = 3. For x < 0, the function is positive,
\(with\text{ }x=-1:\text{ }y=-(-1)^3+3(-1)^2=-(-1)+3\cdot1=1+3=4\)For 0 < x < 3, the function is also positive. This is because x = 0 with multiplicity 2.
Then, since the function crosses the x-axis at x = 3 and that zero has multiplicity 1, we can conclude that the function is negative for x > 3.
Hence, is the function is positive for x < 3 and negative for x > 3.
5. As mentioned in part 4, the function is positive for all values of x less than 3, which means that the function goes to infinity as x goes to negative infinity.
Since for x > 3 the function is always negative, it goes to negative infinity as x goes to infinity.
6. A polynomial function has no restrictions in the domain and, therefore, has no asymptotes.