The missing probability is 0.2.
Gabelli Partners is planning a major investment with an uncertain profit estimate. The given distribution provides the probabilities for different levels of profit in millions of dollars. The missing probability for a profit of $2 million needs to be calculated.
To find the missing probability, we need to use the fact that the sum of all probabilities is equal to 1. Thus, we can use the given probabilities to find the missing one.
Gabelli Partners is planning a major investment with an uncertain profit, X, that has a given probability distribution. To find P(X=4), you need to calculate the missing probability in the distribution.
The probabilities in a distribution must sum up to 1. The given probabilities are 0.1, 0.2, 0.4, and 0.1, adding up to 0.8. To find P(X=4), simply subtract the sum of the given probabilities from 1:
P(X=4) = 1 - 0.8 = 0.2
So, the probability of a profit of 4 million dollars is 0.2 or 20%.
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25 POINTS AND BRAINLIEST
Answer: x = 3 or -13/3
Step-by-step explanation: if you sub in 3 for x, you'll get 9+2 =11, which is true. -13/3 is also correct since subbing it in will give you -13+2, which equals -11. The absolute value of -11 is 11. So both of them work
which polynomials are in standard form
Answer:
B) -2t^2+3t+5
and
C) 4t-7
help please mathematics
Answer:
5
Step-by-step explanation:
All you have to do is subtract Davids score and maria score.
Answer:
6
Step-by-step explanation:
david has 4 and maria has 10 and 10 - 4 = 6
Jim works in real estate sales. His annual salary is
$20,000 plus 2.5% of his home sales. What was the total
value of all homes he sold if his annual pay for the year
was $120,000?
Helppppp
Answer:
4,000,000
Step-by-step explanation:
We start by subtracting his salary (20k) from his annual income. That means he got 100,000 from selling homes.
So, what is 100,000 2.5% of?
I used the equation:
100,000 = .025x
with x being the value of all the homes.
Just divide and conquer, and you end up with a final answer of 4 Million
Prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a)≠0
If a function f is differentiable at a point a and f(a) is not equal to zero, then the absolute value function |f| is also differentiable at that point.
The proof involves considering two cases based on the sign of f(a) and showing that the limit of the difference quotient exists for |f| at point a in both cases. However, it is important to note that |f| is not differentiable at the point where f(a) equals zero.
To prove that if f is differentiable at a, then |f| is also differentiable at a, provided that f(a) ≠ 0, we need to show that the limit of the difference quotient exists for |f| at point a.
Let's consider the function g(x) = |x|. The absolute value function is defined as follows:
g(x) = {
x if x ≥ 0,
-x if x < 0.
Since f(a) ≠ 0, we can conclude that f(a) is either positive or negative. Let's consider two cases:
Case 1: f(a) > 0
In this case, we have g(f(a)) = f(a). Since f is differentiable at a, the limit of the difference quotient exists for f at point a:
lim (x→a) [(f(x) - f(a)) / (x - a)] = f'(a).
Taking the absolute value of both sides, we have:
lim (x→a) |(f(x) - f(a)) / (x - a)| = |f'(a)|.
Since |g(f(x)) - g(f(a))| / |x - a| = |(f(x) - f(a)) / (x - a)| for f(a) > 0, the limit on the left-hand side is equal to the limit on the right-hand side, which means |f| is differentiable at a when f(a) > 0.
Case 2: f(a) < 0
In this case, we have g(f(a)) = -f(a). Similarly, we can use the same reasoning as in Case 1 and conclude that |f| is differentiable at a when f(a) < 0.
Since we have covered both cases, we can conclude that if f is differentiable at a and f(a) ≠ 0, then |f| is also differentiable at a.
Note: It's worth mentioning that at the point where f(a) = 0, |f| is not differentiable. The proof above is valid when f(a) ≠ 0.
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A correlation coefficient indicates the strength and direction between the relation of two variables. Which of the following correlation coefficients indicates the strongest relation between two variables?
a. r=−.45
b. r=−.87
c. r=.69
d. r=1.24
The correlation coefficient that indicates the strongest relation between two variables is option b. r=−.87. A correlation coefficient ranges from -1 to 1. Therefore, the answer is option b. r=−.87.
The absolute value of the correlation coefficient represents the strength of the relationship, while the sign indicates the direction of the relationship. In this case, the absolute value of -0.87 is larger than the other options, indicating a stronger relationship between the variables.
The correlation coefficient is a statistical measure that quantifies the relationship between two variables. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 1 represents a perfect positive correlation, and 0 represents no correlation.
In this question, we are looking for the correlation coefficient that indicates the strongest relation between two variables. To determine the strength, we consider the absolute value of the correlation coefficient. The larger the absolute value, the stronger the relationship.
Option a has a correlation coefficient of -0.45, indicating a moderate negative relationship between the variables. Option c has a correlation coefficient of 0.69, indicating a moderately strong positive relationship. Option d has a correlation coefficient of 1.24, which is not possible as correlation coefficients must be between -1 and 1.
Option b, however, has a correlation coefficient of -0.87, which has the largest absolute value among the given options. This indicates a very strong negative relationship between the variables, making it the correct answer for the strongest relation.
Therefore, the answer is option b. r=−.87.
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Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
1. Find the volume of the pyramid below.
in
Answer:
Step-by-step explanation:
volume = ⅓×8×7×6 = 112 in³
Answer:
168
Step-by-step explanation:
The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?
Answer:
yes it does because men comes before women
Determine the approximate length of AC
(please provide a good explanation, I want to understand this better!)
A: 7 Units
B: 7.07 Units
C: 5 Units
D: 1 Unit
Answer:
B: 7.07 units
Step-by-step explanation:
We see a radius of circle A labeled 3, so we know that the other radius of circle A that contains the side of the rectangle also measures 3 units. The side of the rectangle measures 2, so the part of the radius of circle A that is not part of the rectangle measures 1 unit. That is one leg of the right triangle.
Opposite sides of a rectangle are congruent, so the side of the rectangle opposite the side that measures 7 also measures 7. That is the other leg of the right triangle. Now we use the Pythagorean theorem to find AC which is the hypotenuse of the right triangle.
a² + b² = c²
1² + 7² = c²
1 + 49 = c²
c² = 50
c = √50
c = 7.07
Please help me! Pls!! ASAP
Answer:
the answer is 2
Step-by-step explanation:
in simpelest form its 2
Which of the following is likely to decrease a consumer's credit score?
paying bills on time
spending within his or her means
paying down debts owed
opening several new lines of credit
i need help i don’t understand my homework?
Identify the system of linear equations from the tables of values given below.
x y
0 2
-4 0
6 5
-6 -1
x y
0 1
-2 0
-4 -1
2 2
The system of linear equations are
Equation 1: 2 = a × 0 + b
Equation 2: 0 = a × (-4) + b
Equation 3: 5 = a × 6 + b
Equation 4: -1 = a × (-6) + b
The system of linear equations from the first table of values can be identified as:
Equation 1: 2 = a × 0 + b
Equation 2: 0 = a × (-4) + b
Equation 3: 5 = a × 6 + b
Equation 4: -1 = a × (-6) + b
Table 2:
The system of linear equations from the second table of values can be identified as:
Equation 1: 1 = a × 0 + b
Equation 2: 0 = a × (-2) + b
Equation 3: -1 = a × (-4) + b
Equation 4: 2 = a × 2 + b
In the equations, 'a' and 'b' represent the coefficients to be determined.
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can some one help me out with an explaination i have two more after this
The ________________________________ is the intersection of the three angle bisectors in a triangle.
Group of answer choices
Circumcenter
Incenter
Centroid
Orthocenter
Answer:
Circumcenter
Step-by-step explanation:
The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
Ace C.a.r.l.o.s. -The Kid Laroi
find the volume of the composite solid. round your answer to the nearest hundredth. a composite solid consisting of a hemisphere on an inverted cone such that they share same circular base. the radius and height of cone are labeled 6 feet and 12 feet. the volume is about cubic feet.
The volume of the solid is 603.19 cubic feet
The formula for the volume of a hemisphere is (2/3)πr³.
Since the radius of the hemisphere is not given,
Assume it to be the same as the radius of the cone, which is 6 feet.
So, the volume of the hemisphere is,
⇒ (2/3)π(6³) = 144π cubic feet
The formula for the volume of a cone is (1/3)πr²h,
where r is the radius and h is the height.
Put in the values we have, we get,
⇒ (1/3)π(6²)(12) = 144π/3
= 48π cubic feet
Find the total volume of the composite solid by adding the volumes of the hemisphere and the cone,
⇒ Total volume = Volume of hemisphere + Volume of cone
⇒ Total volume = 144π + 48π
⇒ Total volume = 192π cubic feet
Finally, rounding to the nearest hundredth,
The volume of the composite solid is 603.19 cubic feet.
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the american academy of periodontology released a survey revealing that 27% of us adults admit they lie to their dentist about how often they floss their teeth. periodontist dr. garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. what should he write as the null and alternative hypotheses for this situation? h0: p
The correct null hypothesis in the given situation is:
(A) H0: p = 0.27; Ha: p > 0.27
What is the null hypothesis?Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.
For instance, any discrepancy between the average profits in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero.
So, the population proportion serves as the parameter.
The American Academy of Periodontology found that 27% of US individuals admit to lying to their dentist about how frequently they floss their teeth.
So, the following is the null hypothesis:
H0: p = 0.27
Dr. Garcia, a periodontist, thinks that the percentage should be higher than 27% since he feels it is too low.
Consequently, the competing theory is:
H0: p > 0.27
Therefore, the correct null hypothesis in the given situation is:
(A) H0: p = 0.27; Ha: p > 0.27
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Complete question:
The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth. Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. What should he write as the null and alternative hypotheses for this situation?
Answer Options:
A: H0: p = 0.27; Ha: p > 0.27
B: H0: p = 0.27; Ha: p < 0.27
C: H0: p = 0.27; Ha: p ≠ 0.27
D: H0: μ = 0.27; Ha: μ > 0.27
E: H0: μ = 0.27; Ha: μ < 0.27
You pick a card at random. 4 5 6 What is P(4)? Simplify your answer and write it as a fraction or whole number.
Answer:
4/p
Step-by-step explanation:
4/p=4overp
Which is a reasonable estimate for the circumference of the circle?
Answer:
24 or 25
Step-by-step explanation:
Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24
Marthas soup recipe call for 8 cups of broth how many pints of broth is this
Answer:
8 cups = 4 Pints
Step-by-step explanation:
Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.
solve the 3 × 3 system shown below. enter the values of x, y, and z. x 2y – z = –3 (1) 2x – y z = 5 (2) x – y z = 4
The solution to the given system of equations is x = 2, y = -1, and z = 1.
What are the values of x, y, and z that solve the given system of equations?To solve the system of equations, we can use methods such as substitution or elimination. Here, we will use the method of elimination to find the values of x, y, and z.
First, let's eliminate the variable x by multiplying equation (1) by 2 and equation (3) by -1. This gives us:
2x + 4y - 2z = -6 (4)
-x + y - z = -4 (5)
Next, we can subtract equation (5) from equation (4) to eliminate the variable x:
5y - z = 2 (6)
Now, we have a system of two equations with two variables. Let's eliminate the variable z by multiplying equation (2) by 2 and equation (6) by 1. This gives us:
4x - 2y + 2z = 10 (7)
5y - z = 2 (8)
Adding equation (7) and equation (8), we can eliminate the variable z:
4x + 5y = 12 (9)
From equation (6), we can express z in terms of y:
z = 5y - 2 (10)
Now, we have a system of two equations with two variables again. Let's substitute equation (10) into equation (1):
x + 2y - (5y - 2) = -3
x - 3y + 2 = -3
x - 3y = -5 (11)
From equations (9) and (11), we can solve for x and y:
4x + 5y = 12 (9)
x - 3y = -5 (11)
By solving this system of equations, we find x = 2 and y = -1. Substituting these values into equation (10), we can solve for z:
z = 5(-1) - 2
z = -5 - 2
z = -7
Therefore, the solution to the given system of equations is x = 2, y = -1, and z = -7.
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help me please please
Answer:
x=6
Step-by-step explanation:
19x - 4 = 110
19x = 114
Divide by 19:
x=6
Hope this helps !!!
Answer:
x = 6
Step-by-step explanation:
19x - 4 = 110 (Because of alternate exterior angles)
19x = 114
x = 6
Find the sum of the series.
a) 3 + 12 + 48 + ... + 768
Answer:
1023
Step-by-step explanation:
r = 12/3 = 48/12 = 4
The constant ratio is 4.
Method 1:
Write out the series and add the terms.
3 + 12 + 48 + 192 + 768 = 1023
Method 2:
Use the formula.
S_n = [a_1(1 - r^n)]/(1 - r)
S_5 = [3(1 - 4^5)]/(1 - 4)
S_5 = [3(1 - 1024)]/(-3)
S_5 = -(-1023)
S_5 = 1023
Explain why the set of natural numbers {1,2,3,4,...} and the set of even numbers {2, 4, 6, 8, . . .} of positive even numbers
The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.
About the setsTwo important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.
The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.
Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.
Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}
On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.
Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.
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Consider the distribution of exam scores for the first exam within a college course. If the set of exam forms is symmetrical distribution, what can be concluded about the student's scores?
a) a substantial number of students had high scores
b)About an equal number of students had relatively high and relatively low scores
c)most had low scores
A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.
Correct answer will be b) About an equal number of students had relatively high and relatively low scores.
And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.
This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.
In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.
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divide 5600 in the ratio 4 :5:7
Answer:
Step-by-step explanation:
So in our case, let assume 'x' as a common factor.
Thus,
4x + 5x + 7x = 5600;
16x = 5600;
x = 5600/16 = 350.
So,
4x= 350*4 =1400;
5x= 350*5 = 1750; &
7x= 350*7 = 2450.
Your answer is, 5600 = 1400+1750+2450 which is in ratio of 4:5:7.
Mathematical Statement Justification
−2(2x3 + 4x2 − 3) + 5(x2 − 2x − 2) } Given
−4x3 − 8x2 + 6 + 5x2 − 10x − 10 }
−4x3 − 8x2 + 5x2 − 10x + 6 − 10 }
−4x3 − 3x2 − 10x − 4 }
Fill in the missing justifications in the correct order.
A. Combine Like Terms; Distributive Property; Commutative Property of Addition
B. Commutative Property of Addition; Combine Like Terms; Distributive Property
C. Distributive Property; Commutative Property of Addition; Combine Like Terms
D. Distributive Property; Combine Like Terms; Commutative Property of Addition
Answer:
C. Distributive Property; Commutative Property of Addition; Combine Like Terms.
Step-by-step explanation:
The procedure is described below:
1) \(-2\cdot (2\cdot x^{3}+4\cdot x^{2}-3)+5\cdot (x^{2}-2\cdot x -2)\) Given.
2) \(-4\cdot x^{3}-8\cdot x^{2}+6 +5\cdot x^{2}-10\cdot x -10\) Distributive Property.
3) \(-4\cdot x^{3}-8\cdot x^{2}+5\cdot x^{2}-10\cdot x + 6 - 10\) Commutative Property of Addition.
4) \(-4\cdot x^{3}-3\cdot x^{2}-10\cdot x -4\) Combine like terms.
Therefore, the correct answer is C.
Answer: C: Distributive Property; Commutative Property of Addition; Combine Like Terms
Step-by-step explanation: Hope that helped!
I need help asap please help me
Answer:
8
Step-by-step explanation:
I belive what they mean is how many dots thier are i am not complety sure though but just by counting them up i came up with 8.
hope this helped