A number cube is rolled three times. An outcome is represented by a string of the sort OEE (meaning an odd number on the first roll, an even number on the
second roll, and an even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability,
For each of the three events in the table, check the outcomes) that are contained in the event. Then, in the last column, enter the probability of the event
Answers
Answer:
Event A: Exactly 1 odd number: EOE, EEO, OEE 3/8 Probability
Event B: More even numbers than odd numbers: EOE, EEO, OEE,EEE 1/2 Probability
Event C: Alternating even number and odd number (with either coming first): EOE, OEO 1/4 Probability
Step-by-step explanation:
The probability of the given events is:
\(\frac{1}{4}\)\(\frac{1}{4}\)\(\frac{3}{8}\)According to the question,
Number of outcomes = 8
Event A:
Having the alternative even and odd numbers.
→ \((EOE, OEO) = \frac{2}{8}\)
\(= \frac{1}{4}\)
Event B:
No even number and last two rolls.
→ \((EOO,OOO) = \frac{2}{8}\)
\(= \frac{1}{4}\)
Event C:
Exactly on odd number:
→ \((EOE,OEE,EEO) = \frac{3}{8}\)
Thus the above approach is correct.
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Related Questions
Determine the critical value for a left-tailed test regarding a population proportion at the alphaequals0.01 level of significance.
Answers
Answer:
Critical value zc=-2.326
Step-by-step explanation:
We have a left tailed test regarding a population proportion.
The significance level is α=0.01.
That means that the critical value zc satisfies the equation:
\(P(z<z_c)=0.01\)
This critical value needs to be looked up in a standard normal distribution probability table (or an applet or software).
The value for this critical value is zc=-2.326.
A picture of the stantdard normal distribution and the critical value is attached.
the population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 15% in 10 years. what will be the pop ulation in 30 years? how fast is the population growing at t 30?
Answers
Using the differential equation, the population after 30 years is 760.44.
What is meant by differential equation?In mathematics, a differential equation is a relationship between the derivatives of one or more unknown functions. Applications frequently involve a function that represents a physical quantity, derivatives that show the rates at a differential equation that forms a relationship between the three, and a function that represents how those values change.A differential equation is one that has one or more functions and their derivatives. The derivatives of a function define how quickly it changes at a given location. It is frequently used in disciplines including physics, engineering, biology, and others.The population P after t years obeys the differential equation:
dP / dt = kPWhere P(0) = 500 is the initial condition and k is a positive constant.
∫ 1/P dP = ∫ kdtln |P| = kt + C|P| = e^ce^ktUsing P(0) = 500 gives 500 = Ae⁰.
A = 500.Thus, P = 500e^ktFurthermore,
P(10) = 500 × 115% = 575sO575 = 500e^10ke^10k = 1.1510 k = ln (1.15)k = In(1.15)/10 ≈ 0.0140Therefore, P = 500e^0.014t.The population after 30 years is:
P = 500e^0.014(30) = 760.44Therefore, using the differential equation, the population after 30 years is 760.44.
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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What is the slope intercept equation of the line below?
Answers
please help, giving 30 points and brainly
Answers
Answer:
1/3 x (-15) = -5
6 x 2/3 = 4
1/2 x 6= 3
3/2 x (-2) = -3
Step-by-step explanation:
image explains (kind of)
hope it helps though!
Answer:
1/3x(-15)= -5
6x2/3= 4
1/2x6= 3
3/2x(-2)= -3
Step-by-step explanation:
1x-15= -15 & 3x1=3 so, -15÷3= -5
6x2= 12 & 3x1= 3 so, 12÷3= 4
1x6= 6 & 2x1= 2 so, 6÷2=3
3x -2= -6 & 2x1= 2 so, -6÷2= -3
You order three sandwiches and a drink. The drink costs $1.75. You pay 8% sales tax and leave a $5 tip. You pay a total of $20.66. How much does one sandwich cost?
Answers
Using proportions, it is found that one sandwich costs $4.25.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Considering x as the cost of a sandwich, the total cost is given as follows:
1.08(3x + 1.75) + 5 = 20.66.
The multiplication by 1.08 is because of the sales tax. We solve for x to find the cost of one sandwich, hence:
1.08(3x + 1.75) = 15.66
3x + 1.75 = 14.5
3x = 12.75
x = 12.75/3
x = 4.25.
Hence one sandwich costs $4.25.
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A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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STATISTIC
A company that makes athletic shoes asked a representative sample of its customers whether they preferred the color white or red; 60% of customers in this sample preferred the color red. Separately, a company that makes sparkling water asked a representative sample of its customers to try new flavors: cherry and kiwi; 60% of customers in this sample likewise preferred cherry.
Both companies used a two-sided test with H0: p = .5, and both companies had a sufficiently large sample size to meet the conditions. However, the shoe company used a larger sample of customers.
Which of these studies would have a smaller P-value?
The study about shoe colors
The study about sparkling water flavors
Both studies have the same P-value
Not enough information is given to determine which P-value is smaller
Answers
Answer:
Both studies used a two-sided test with a null hypothesis of p = 0.5. However, the shoe company used a larger sample size, which would result in a smaller standard error and a more precise estimate of the true proportion.
Assuming that the sample proportions are accurate representations of the true proportions, the study with the larger sample size (the shoe company) would have a smaller P-value. A smaller P-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis that the true proportion is different from 0.5.
Therefore, the study about shoe colors would have a smaller P-value.
-4.46(j + 19)= -8.92
Answers
\(-4.46(j + 19)= -8.92\)
Distribute:
\((-4.46)(j)+(-4.46)(19)=-8.92\)
\(-4.46j-84.74=-8.92\)
Add 84.74 to both sides:
\(-4.46j-84.74+84.74=-8.92+84.74\)
\(-4.46j=75.82\)
Divide both sides by -4.46:
\(\dfrac{-4.46j}{-4.46} =\dfrac{75.82}{-4.46}\)
\(=\fbox{j = -17}\)
Andria wrote the following statements: Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite number of points extending in opposite directions. Which geometry term does each statement represent? (4 points) Statement 1: definition; Statement 2: theorem Statement 1: postulate; Statement 2: definition Statement 1: postulate; Statement 2: theorem Statement 1: theorem; Statement 2: postulate
Answers
Answer: Statement 1: postulate; Statement 2: definition
Step-by-step explanation:
A postulate is assumed to be a fact and used to derive conclusions about any argument .A definition is a brief explanatory statement of a term.A theorem is a statement that can be proved to be true by using given, definitions, postulates or prior proved theorems .Here, Statement 1:If parallel lines have a transversal, then corresponding angles are congruent.
which is a fact, and hence it is postulate.
Statement 2: A line has an infinite number of points extending in opposite directions.
which is an explanatory statement of a 'line', hence it is 'definition.
So the correct option is Statement 1: postulate; Statement 2: definition
Answer:statement 1 and statement 2 postulate
Step-by-step explanation:
I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Need answer quick with full work
Answers
Answer:
Apply the distributive property.
2x3+4−−x2−(3x)2x3+4--x2-(3x)
Multiply −−x2--x2.
Tap for fewer steps...
Multiply −1-1 by −1-1.
2x3+4+1x2−(3x)2x3+4+1x2-(3x)
Multiply x2x2 by 11.
2x3+4+x2−(3x)2x3+4+x2-(3x)
Multiply 33 by −1-1.
2x3+4+x2−3x2x3+4+x2-3x
Move 44.
2x3+x2−3x+4
if the value of a in the quadratic function f(x)=ax to the second power + bx + c is 1/2 the function will
Answers
If the value of a in the quadratic function f f(x) = ax² + bx + c is 1/2, the function will; open up and have a minimum
How to interpret the parabola of a quadratic function?We are told that the value of a in the quadratic function f(x) = ax² + bx + c is 1/2. Thus, the quadratic function is expressed as;
f(x) = ¹/₂x² + bx + c
If the signs of the coefficients of x² and x are equal, then the graph axis of symmetry will be on the left hand side of the y-axis. This is because the axis of symmetry is expressed as; x = -b/2a
Now, if the sign of the constant term is positive, then it means that the y-intercept is positive. This is because the y-intercept is the value at which x = 0 which is f(0)
Now, if the discriminant is negative, then it means that the quadratic graph will not touch the x-axis. This is because the graph touches x-axis when f(x) = 0, but the solution will be imaginary and as such it doesn't touch on the graph.
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Complete question is;
If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2 the function will:
open down and have a minimum
open up and have a maximum
open down and have a maximum
open up and have a minimum
Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses
Answers
Answer:
It should be 42.4
Please help me, i'm stuck on this one. thank you thank you!
A long year-end status report for work is 134 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.53 each. Give your answer to the nearest cent, only for the paper you use (partial reams are OK)
Answers
Answer:
The total cost of the copies will be $ 15.14.
Step-by-step explanation:
Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:
(134 x 16) / 500 = X
2,144 / 500 = X
4.288 = X
500 = 100
144 = X
144 x 100/500 = X
14,400 / 500 = X
28.8 = X
100 = 3.53
28.8 = X
28.8 x 3.53 / 100 = X
101.664 / 100 = X
1.016 = X
1.016 + (3.53 x 4) = X
1.016 + 14.12 = X
15,136 = X
Therefore, the total cost of the copies will be $ 15.14.
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Calculate the measures of center for the data in the dot plot, rounding your answers to the nearest tenths place. Show how you determined your answer. (2 points)
PLEASE ANSWER WILL GIVE POINTS!!!!! ANSWER!!!
Answers
The measure of the center for the data in the dot plot is 3
What is mean?In the branches of mathematics, We use one term known as mean; it generally tells us what is the central tendency of the data set.
Generally, we use three terms for measurement of central tendency like, median, mean, mode.
In simple words, mean is an average of all the dataset.
formula:
Mean = Sum of all the dataset/Total number of dataset
Given that,
A dot plot,
At position 0, there are number of data is 1
At position 4, there are number of data is 3
At position 5, there are number of data is 8
At position 6, there are number of data is 3
At position 7, there are number of data is 1
At position 8, there are number of data is 5
At position 9, there are number of data is 2
At position 10, there are number of data is 3
Mean = (1+3+8+3+1+5+2+3)/8
= 3.25
After rounding to the nearest tenth
mean = 3
Thus, the mean is 3
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please help meeee…………..
Answers
The required measure of the angle ∠VYW is given as 59°.
Given that,
A Right angle is shown, where the measure of the complementary angle ∠VYW is to be determined.
orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
For complementary angle,
∠TYV + ∠VYW = 90
31 + ∠VYW = 90
∠VYW = 59°
Thus, the required measure of the angle ∠VYW is given as 59°.
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What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?
Answers
Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.
So let's first add up the measures of the two angles we know.
So we have 30 + 4 which is 75 degrees.
The missing angle will be equal to 180 minus 75.
So the missing angle measure is 105 degrees.
Use the geometric mean (altitude) theorem. What is the value of m?
Answers
Answer:4
Step-by-step explanation:
Answer:
Correct answer is c
Step-by-step explanation:
just took the test
Choose the graph of y=|x|-2 by translating the parent function
Answers
The graph of function y = |x| - 2 by translating the parent function is shown in image.
We have to given that;
Function is,
⇒ y = |x| - 2
Now, We can formulate;
Since, Function is,
⇒ y = |x| - 2
It is translation of parent function y = |x| by 2 units down.
Thus, The graph of function y = |x| - 2 by translating the parent function is shown in image.
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2 Question 3 3.1 The layout plan of the copy room at Hills Secondary is given below.
3.1 justify a reason whether or not copier is suitably placed in room (3)
Answers
Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.
To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.
Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.
However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.
Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.
Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.
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A oreos says that now it contains 20% more. Originally, it came with 19.5 ounces of oreos . How much oreos does the box come
with now?
Please answer for 15 points
Answers
Answer:
23.4 oz
Step-by-step explanation:
Answer:
42.9 ounces.Step-by-step explanation:
This is percentage increase.(100+20)% = 120%
100% = 19.5 ounces
120% = ?
19.5*120/100 = 23.4 ounces
Add it up to the original amount:
23.4+19.5 = 42.9 ounces.
A seesaw is 3 metres long. It is balanced when child A sits 0.8 m from the pivot and child B sits 0.6 m from the pivot. Child A has a weight of 300 N. i. Draw a force diagram to represent this system. (Ensure that you label the force and distances given.) ii. Use the principle of moments to determine the weight of child B.
Answers
Answer:
i) see attached diagram
ii) 400 N
Step-by-step explanation:
Since we don’t know the mass of the seesaw, take moments about M (so we don’t have to consider R or mg).
Moment = Force x Perpendicular Distance to the Pivot
As the system is in equilibrium, total anti-clockwise moment = total clockwise moment:
⇒ 300 × 0.8 = b × 0.6
⇒ 0.6 b = 240
⇒ b = 400 N
Can someone help me I don’t get it
Answers
What is the sum of all the numbers less than 496 that divide evenly into 496?
Answers
Answer:
Step-by-step explanation : devise ----> divide496 = 2*2*2*2*31The 2's can be used in 5 ways, that is, not take anytake 1take 2take 3take all 4the 31 can be used in 2 ways, either take or not take itnumber of factors = 5*2 = 10but that includes taking all or noneif we correspond to none as the factor 1 and if we take all we would get 496the factors would be1, 2, 4, 8, 16, 31, 62, 124, 248, and 496
6 R
;\: ; _6
-2
4 6
4 2
4
Help❗️❗️
Answers
Answer:
drop the 0 then add the 0 o. the top or I think
determine whether the statement describes a population or a sample. the number of times the students on your floor order fast food in a week.
Answers
The number of times the students on your floor order pizza in a week, population.
A population is a complete set of individuals or objects that share common characteristics. It is an entire group of people, animals, plants, or objects that can be studied. A population can also be a group of people living in a certain geographical area.
A sample is a subset of a population. It is a smaller group of individuals or objects drawn from the population that are used to make inferences about the population as a whole.
A sample is used in statistical analysis to estimate population characteristics, such as mean, median, and variance. The accuracy of the estimates depends on the size and representativeness of the sample.
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The complete question is:
Determine whether the statement describes a population or a sample. The number of times the students on your floor order pizza in a week, ___.
University DataReceiving Not ReceivingFinancial Aid Financial AidTotalUndergraduates422238988120Graduates18797312610Total6101462910730If a student is selected at random, what is theprobability that the student receives aid and is agraduate (rounded to the nearest percent)? [? ]%
Answers
If a factory can produce 800 newspapers in 15 minutes, how many newspapers will it produce in 2 hours?
Answers
Answer:
6400
Step-by-step explanation: