The expected number of times James should roll a number greater than 3 in 24 rolls is 12 times.
What is probability?Probability is a metric for determining the possibility or chance that a specific event will take place. It is a number between 0 and 1, inclusive, where 0 denotes the impossibility of the event and 1 denotes its certainty. By dividing the number of favourable outcomes by the total number of possible outcomes, one can determine the probability of an occurring. A sample space is the collection of all potential outcomes of an experiment, and an experiment is any activity that results in an outcome in the context of probability theory. To model and understand uncertainty and unpredictability, probability theory is used in many disciplines, including mathematics, statistics, economics, engineering, and physics.
The probability of rolling a number greater than 3 is:
3/6 = 1/2.
For 24 times the expected number would be:
24(1/2) = 12
Hence, the expected number of times James should roll a number greater than 3 in 24 rolls is 12 times.
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= AB has a midpoint at (4, 6). If A has coordinates of (0, 4), find the coordinates of B. (5,2) {8,8} (2,5)
Determine the missing value in the circle graph what fraction of the total number of students surveyed is comedy?
Answer:answer
Step-by-step explanation: we’ll see to put it in a simpler way you are first going to have to joe nuts
Rewrite in simplest terms: -10(9v-2v+7)-10v
The simplest terms of the expression given above would be = -7/8
What is simplest terms?The simplest terms of a given expression is defined as the reduced form of the expression after carrying out the necessary calculations.
The given term:
-10(9v-2v+7)-10v
Open the brackets by multiplying through with -10;
= -90v + 20v -70 -10v
Bring the like terms together;
= -90v + 20v -10v -70
= -80v -70
80v = -70
V = -70/80
V = -7/8
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Answer:
k, m, m mm
Step-by-step explanation:
6x+5=23
Explain the steps used to solve
Answer:
x = 3
Step-by-step explanation:
Step 1:
6x + 5 = 23
Step 2:
6x = 18
Answer:
x = 3
Hope This Helps :)
Could someone walk me through this problem please?
yeah me too can someone help us?hope someone helps :)
center (1,-2) radius 2
The equation of a circle with center (1,-2) and radius 2 is ( x - 1 )² + ( y + 2 )² = 4.
What is the equation of the circle?The standard form of the circle is x² + y² = r²
Where r is the radius.
h and k is the horizontal and vertical translation which represent the center of the circle..
Hence, the formula is derived from the distance formula where the distance is between the center and every point on the circle is equal to the length of the radius.
( x - h )² + ( y - k )² = r²
Given that;
Center: (1,-2)
h = 1k = -2Radius r = 2Plug the given values into the equation and simplify.
( x - h )² + ( y - k )² = r²
( x - 1 )² + ( y - (-2) )² = 2²
( x - 1 )² + ( y + 2 )² = 2²
( x - 1 )² + ( y + 2 )² = 4
Therefore, the equation of the circle is ( x - 1 )² + ( y + 2 )² = 4
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at a local college, 35.1% of students major in business, 12.3% of students major in economics, and 2.6% of students major in business and economics. what is the probability that a randomly selected student majors in business or economics? (write your answer as a percent rounded to 1 decimal place.)
The probability that a randomly selected student majors in business or economics is 44.8%.
Describe the union set in probability?A set that contains every element in at least one of two sets is called a union of two sets. The union is denoted by the symbols A∪B or “A or B” A fresh batch that includes every element from both sets is created when two sets intersect. The intersection is denoted by the symbols A∩B or “A and B”.Let 'B' be the students of business.
P(B) = 35.1%
Let 'E' be the students of business.
P(E) = 12.3%
Thus,
P(E ∩ B) = 2.6%
P(E ∪ B) = probability for student majors in business or economics.
P(E ∪ B) = P(B) + P(E) - P(E ∩ B)
Put the values-
P(E ∪ B) = 35.1% + 12.3% - 2.6%
P(E ∪ B) = 44.8%
Thus, the probability that a randomly selected student majors in business or economics is 44.8%.
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The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476? Please I need an answer ASAP
Answer:
adults = 52
children = 108
Step-by-step explanation:
two equations can be derived from the question
x + y = 160 equation 1
2x + 5y = 476 equation 2
x = number of children
y = number of adults
multiply equation 1 by 2
2x + 2y = 320 equation 3
subtract equation 1 from 2
3y = 156
y =52
substitute for y in equation 1
x + 52 = 108
x = 160 - 52 = 108
A survey was conducted with high school students in
each grade to see how many participate in sports. The
data are shown below.
Which statement is true about the marginal frequencies
in this table?
9
10
11
12
Total
O 191 students play sports and 150 students do not.
O 153 students do not participate in sports and
seventy-five 12th graders were surveyed
O 153 students do not participate in sports and 190
do.
Sports
63
52
35
41
O 191 students play sports and ninety-seven 10th
graders were surveyed.
No
Sports
51
45
21
36
Total
344
Intro
Done
Answer:
Step-by-step explanation:
D - correct
From the table, it is seen that 191 students play sports and there are 97 students from 10 grades surveyed. Option C is correct.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
The table provides information on the number of students who play sports, the number of 10th graders surveyed, and the total number of students. Specifically, the table shows that 191 students participate in sports and that 97 of the surveyed students are in 10th grade.
Thus, from the table, it is seen that 191 students play sports and there are 97 students from 10 grades were surveyed. Option C is correct.
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what does UIF stand for ?
UIF stands for Unemployment Insurance Fund.
When workers become unemployed or are unable to work due to maternity, adoption, or parental leave, or illness, the Unemployment Insurance Fund (UIF) provides them with short-term assistance. It also helps the dependents of a deceased contributor.South Africa's unemployment insurance system is governed by the following legislation: 2001 Unemployment Insurance Act (the UI Act). 2002 Unemployment Insurance Contributions Act (the UIC Act)These Acts, which went into effect on April 1, 2002, provide for the benefits to which contributors are entitled, as well as the imposition and collection of contributions to the UIF.Contributions to the UIF are due from all employees and their employers. However, an employee is not eligible to contribute to the UIF if he or she: is employed by the employer for less than 24 hours per month; is employed as an officer or employee in the national or provincial spheres of government; or is employed as an officer or employee in the national or provincial spheres of government. Is a traditional leader, a member of the province House of Traditional Leaders, and a member of the Council of Traditional Leaders.Thus this is the full form of UIF.
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find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest.
The three consecutive integers are 10, 11, and 12.
To find three consecutive integers, the sum of whose squares is 65 more than three times the square of the smallest, follow these steps:
1. Let the smallest integer be x. Then, the other two consecutive integers are x + 1 and x + 2.
2. The sum of their squares is x^2 + (x + 1)^2 + (x + 2)^2.
3. The given condition is that this sum is 65 more than three times the square of the smallest integer: x^2 + (x + 1)^2 + (x + 2)^2 = 3x^2 + 65.
4. Simplify the equation:
x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 3x^2 + 65
5. Combine like terms:
3x^2 + 6x + 5 = 3x^2 + 65
6. Subtract 3x^2 from both sides to eliminate the x^2 terms:
6x + 5 = 65
7. Subtract 5 from both sides:
6x = 60
8. Divide by 6:
x = 10
So, the three consecutive integers are 10, 11, and 12.
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Could someone please help answer this, will give brainliest, please no spam, thank you (homework help)!!!
Answer:
(51, 26) x-y=25 and so on
(47,33) 2x-3y=-5 and so on
(-17, -36) x-y=19 and so on
(-31, -56) 2x-y=-6 and so on
Step-by-step explanation:
The Venn diagam represents the
information from the following sets.
= {Prime numbers less than 38}
R = {2, 3, 5, 17, 19, 37}
S = {3, 5, 7, 11, 13, 37}
R
17 5
2
19 37
3/13
S
11
231 23
Find P(RUS)
P(RUS) =
=======================================================
Explanation:
The U refers to set union. We combine the elements of set R and set S together in one big set. Toss out any duplicates. Sorting the items is optional, but I recommend it.
R U S = {2, 3, 5, 17, 19, 37} U {3, 5, 7, 11, 13, 37}
R U S = {2, 3, 5, 17, 19, 37, 3, 5, 7, 11, 13, 37}
R U S = {2, 3, 5, 7, 11, 13, 17, 19, 37}
This list of values consist of items in set R, set S, or both.
There are 9 items in set R U S.
This is out of 12 items total in the universal set rectangle.
The probability of randomly selecting something from set R U S is 9/12 = 3/4
-2x-6y=8 and -6x-6y=0
Answer:
Assume we want to find the solution to this system of equations.
The solution is (2,-2)
Step-by-step explanation:
We can find the solution either mathematically or by graphing. I'll do both.
Math:
Rearrange:
-2x-6y=8
-6y=8 +2x
y = -(1/3)x -(4/3)
---
Now use this expression of y in the second equation:
-6x-6y=0
-6x-6(-(1/3)x -(4/3)) =0
-6x + 2x +8 =0
-4x = - 8
x = 2
---
Use x = 2 in the first equation to find y:
y = -(1/3)x -(4/3)
y = -(1/3)*(2) -(4/3)
y = -(2/3) -(4/3)
y = -(6/3) or -2
The solution is (2,-2)
===============
Graphing:
See attached graph.
Answer:
Step-by-step explanation:
-2x - 6y = 8
6x + 6y = 0
4x = 8
x = 2
-4 - 6y = 8
-6y = 12
y = -2
(2, -2)
Ricardo went jet skiing while on vacation. the jet ski rental cost a flat rate of $30, plus $18.25 per hour. ricardo had $164.18. how much did he have left after 3 hours of jet ski riding? $109.43 $84.75 $79.43 $54.75
Answer: $79.43
Step-by-step explanation:
$30 + ($18.25 x 3 h) = $84.75
$164.18 - $84.75 = $79.43
Which of these functions are linear? select all that apply.
A linear function is a type of mathematical function that creates a straight line when graphed. It is an essential type of mathematical function with numerous uses.
In algebra, a linear function is a function that plots as a straight line with a constant slope. Here are the following functions that are linear:For a given linear function f(x) = ax + b, where x is the independent variable and a and b are constant values, it can be observed that as x varies, f(x) also changes proportionally by a factor of a. Furthermore, it can be observed that the constant term b determines the y-intercept of the line that the function plots to.
As a result, the linear function always produces a straight line graph whose slope is a and whose y-intercept is b.The answer is: `f(x) = 2x-3 and f(x) = -5`Since the above functions have a degree of 1 and a slope that is constant, they can be classified as linear. The slope of the line in each of these functions represents the rate of change, which is the same for all values of x. Therefore, a linear function can be represented algebraically by the equation: f(x) = ax + b.
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PLEASE HELP it’s literally easy
Answer:
it would be 4 right (the last one)
Step-by-step explanation:
Point W (-8, -12) is reflected over the x-axis.
solve by using the quadratic formula
Answer:
H =
\(x = \frac{7 + - i \sqrt{71} }{10} \)
I =
\(x = \frac{ - 1 + - i \sqrt{35} }{6} \)
Quadratic Formula
x = -b +- sqrt{b^2 - 4ac}/(2a)
For question H, subtract 4 from 10 and equate to 0. We now let a = 5, b = -7 and c = 6.
Plug into the formula and do the math..
For question I, subtract 7 from 13 and equate to 0. We know let a = 6, b = 2 and c = 6.
Plug into the formula and do the math.
what is the equation?
Answer:
cost = 1.35n
$33.75 for 25 songs
Step-by-step explanation:
Based on the numbers given, the cost is proportional to the number of songs downloaded. The constant of proportionality is the cost of one song: 1.35.
cost = 1.35n
For 25 songs, ...
cost = 1.35·25 = 33.75 . . . . dollars
__
The equation is ...
cost = 1.35n
Three vertices of a parallelogram are shown. If the fourth vertex, D, lies on a node of the grid, then how many parallelograms have vertices A, B, C, or D?
Answer:
3 parallelograms
Step-by-step explanation:
To investigate the relationship between age and preference for two new building plans on city property, a random sample of city residents was surveyed. The residents were asked whether they preferred the city build a new condominium project to increase the city revenue or a new park. Each resident was classified into one of three age groups (under 25, 25-40, over 40). The test statistic for the appropriate hypothesis test was 4.108. Approximately what is the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference
The approximate probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference is approximately 0.1282.
To determine the probability that the observed responses would be as far or farther from the expected responses if there is no association between age-group and preference, we need to calculate the p-value associated with the test statistic.
Since the p-value is not provided directly, we cannot determine the exact probability. However, we can make an estimation based on the given options.
The p-value represents the probability of obtaining a test statistic as extreme or more extreme than the observed value, assuming no association between the variables. A smaller p-value indicates stronger evidence against the null hypothesis of no association.
Among the given options, the smallest value is 0.0001. If this were the correct option, it would suggest a very small probability of the observed responses occurring by chance alone if there were no association.
To make an estimation, we typically compare the p-value to a significance level (usually 0.05) to determine statistical significance. If the p-value is smaller than the significance level, we reject the null hypothesis in favor of the alternative hypothesis.
Based on the options provided, the closest value to the conventional significance level of 0.05 is 0.1282. This suggests that if the p-value associated with the test statistic of 4.108 is approximately 0.1282 or larger, the observed responses would not be considered statistically significant, and we would fail to reject the null hypothesis of no association between age-group and preference.
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If x + 7 = 10, then x =
Answer: x=3
Step-by-step explanation:
Subtract 7 from both sides to isolate x
\(x+7-7=10-7\\x=3\)
please help me?
John has $13. She saves $3 every day. How many days will it take John to save $28?
Answer:5 days
Step-by-step explanation:
13+3=16
16+3=19
19+3=22
22+3=25
25+3=28
Solve number 8 please
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
ANSWER FAST PLEASE
10.
The first four numbers in a quadratic sequence are
shown below.
2, 3, 6, 11,...
What is the next number in the sequence?
A.
16
B.
18
C. 22
D. 27
Answer:
B.18
Step-by-step explanation:
2+1+3
3+3=6
6+5=11
11+7=18
Evaluate the indefinite integral. (Use C for the constant of integration.) ∫ x 50cos(π/x 49 ) dx
The indefinite integral of x^50 cos(π/x^49) dx is -1/(51 * 49π) * x^51 * sin(π/x^49) + C, where C represents the constant of integration.
To evaluate the indefinite integral ∫ x^50 cos(π/x^49) dx, we can use the substitution method.
Let's make the substitution u = π/x^49. Then, differentiating both sides with respect to x, we get du/dx = -49π/x^50. Solving for dx, we have dx = -(x^50/49π) du.
Now, substituting these values into the integral, we have:
∫ x^50 cos(π/x^49) dx = ∫ -x^50/49π * cos(u) du
Pulling out the constant factor of -1/(49π), we have:
-1/(49π) * ∫ x^50 * cos(u) du
Using the power rule for integration, we can integrate x^50 to get (1/51) * x^51. Integrating cos(u) with respect to u gives us sin(u).
Substituting back u = π/x^49, we have:
-1/(49π) * (1/51) * x^51 * sin(π/x^49) + C
Simplifying, we get:
-1/(51 * 49π) * x^51 * sin(π/x^49) + C
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Find the distance between C ( 2 , 4 ) and D ( 5 , 7 ) . Round to the nearest tenth, if necessary.
The distance between the points is 4.3.
Given the points are C(2,4) and D (5,7)
let the two points be:
C (2,4) = (x₁ , y₁)
D (5,7) = (x₂ , y₂)
The length of the section of a line connecting any two places represents their distance. Only one line connects the two places, and it passes through both. The length of the line segment that connects the two places may therefore be used to compute the distance between them.
Distance between the points = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
substitute the points.
d = √(5 ₋ 2)² ₊ (7 ₋ 4)²
d = √(3)² ₊ (3)²
d = √9 ₊ 9
d = √18
d = 4.24
rounding off to nearest tenth
d = 4.3
Hence we get the distance between two points as 4.3.
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an important first step in assessing the relationship of two interval level variables is to: a. calculate a correlation coefficient. b. look at a scatter plot. c. do a test of significance. d. calculate the variance of the independent variable.
Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.
This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.
A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.
Hence, option a. calculate a correlation coefficient is the correct answer.
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