Which expression is equivalent to -5(-2m-4)?
Group of answer choices
-10m - 4
10m + 20
10m - 20
-10m - 20
A jar contains 8 red marbles, 5 blue marbles and 3 green marbles. Christopher wins if he picks a red marble and Janet wins if he doesn’t pick a red marble. Is this game fair? Why or why not?
No, the game is not fair because Janet has a higher probability of winning than Christopher.
No, the game is not fair because Christopher has a higher probability of winning than Janet.
Yes, the game is fair because Christopher and Janet do not have an equal probability of winning.
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Answer:
Yes, the game is fair because Christopher and Janet have an equal probability of winning.
Step-by-step explanation: Christopher - Red marble=8
Janet - blue + green= 5+3= 8
The radius of a circle is tripled.
How does the circumference change? Please answer quick
Answer:
A. It is tripled.
Step-by-step explanation:
1. Pilar and her sister Marisol live near the beach. Pilar has 80 seashells in her collection when Marisol started collecting seashells. Marisol started with zero seashells in her collection. Pilar adds 10 seashells to her collection each week for x weeks. • Marisol adds 20 seashells to her collection each week for x weeks.
(a) Write an inequality to represent the situation when the number of seashells in Marisol's collection is greater than the number of seashells in Pilar's collection
(b) Solve the inequality in part (a) for the x. Show your work and explain your answer.
Answer:
a. 20x > 10x + 80
b. •20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Step-by-step explanation:
10x + 80 = number of seashells Pilar has.
20x = number of seashells Marisol has.
answer for a: 20x > 10x + 80
answer for b: 20x > 10x + 80
• Subtract 10x from both sides: 20x -10x > 10x + 80 - 10x
• Simplify: 10x > 80
• Divide both sides by 10: 10x/10 > 80/10
• Simplify: x > 8
Answer:
Pilar started with 80 and adds 10 each week.
y= 10x + 80 (ten seashells • weeks + 80 she started with)
Marisol started with 0 and adds 20 each week.
y = 20x (no need to add + 0 because she started with nothing)
Inequality:
y = 10x + 80 < y = 20x
I would reccomend just plugging in numbers (for example if I put in 5 I would determine if it was too high or low then go to the next number.)
I plugged it into an online graph so I can’t show my work but the answer is 8 weeks.
Step-by-step explanation:
Driving speed s-4/s2-9s+20 miles per hour. Distance covers in s-5/4 hours
The value of distance cover is, 1/4 miles.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Driving speed = (s - 4) / (s²-9s+20)
And, Time = (s - 5) / 4
Now, We know that;
⇒ Speed = Distance / Time
⇒ Distance = Speed × Time
Substitute the given values, we get;
⇒ Distance = (s - 4) / (s² - 9s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s² - 5s - 4s + 20) × (s - 5) / 4
⇒ Distance = (s - 4) / (s (s - 5) - 4 (s - 5)) × (s - 5) / 4
⇒ Distance = (s - 4) / (s - 4) (s - 5) × (s - 5) / 4
⇒ Distance = 1/4 miles
Thus, The value of distance cover is, 1/4 miles.
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Please use the following for the next 6 questions. Suppose that the average weekly earnings for employees in general automotive repair shops is $450, and that the population standard deviation for the earnings for such employees is $50. A sample of 100 such employees is selected at random.
1) What is the probability distribution of the average weekly earnings for employees in general automotive repair shops?
2) Find the probability that the average weekly earnings is less than $445.
3) Find the probability that the average weekly earnings is exactly equal to $445.
4) Find the probability that the average weekly earnings is between $445 and $455.
5) In answering the previous 3 questions, did you have to make any assumptions about the population distribution?
6) Now assume that the weekly earnings for employees in all general automotive repair shops is normally distributed, obtain the probability that a given employee will earn more than $480 in a given week.
1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.
3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.
4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.
5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.
6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.
4.7 Distribution of sum of independent uniform RVs. A RV Y is the sum of 500 independent and identically distributed RVs X1, X2, . . . , X500. Each Xi is uniformly distributed over (1, 2). Find the mean and variance of Y . Give an approximate distribution or PDF of Y and justify your answer. What is the probability that Y is larger than 750
Answer:
Let X1,X2,...,Xn be i.i.d. random variables with expected value EXi=μ<∞ and variance 0<Var(Xi)=σ2<∞. Then, the random variable
Zn=X¯¯¯¯−μσ/n−−√=X1+X2+...+Xn−nμn−−√σ
converges in distribution to the standard normal random variable as n goes to infinity, that is
limn→∞P(Zn≤x)=Φ(x), for all x∈R,
where Φ(x) is the standard normal CDF.
Step-by-step explanation:
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
. ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V)) wut tyhe hell is this
Derrek wants to find another way to show 6 thousands. Which value is equal to 6 thousands?
Answer:
6,000
Step-by-step explanation:
60 hundreds.
600 tens.
GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST GIVING BRAINIEST AND POINTS!!!!!!!!!!!!!!!! photo attached above thanks sm if u help
Answer:
i think its the third option
What happens when you add two numbers that are opposites?
Example:
\( - 33 + - 37\)
without using a calculator, find the hypotenuse of a right triangle that has legs with lengths $264$ and $495$.
The hypotenuse of a right triangle will be $561$.
What is hypotenuse?
In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
Lengths of legs of a right triangle are given that are $264$ and $495$.
According to The Pythagorean Theorem,
\(hypotenuse^{2} = lenght^{2} + lenght^{2}\\hypotenuse^{2} = 264^{2} + 495^{2}\\\\hypotenuse^{2} = 69,696 + 245,025\\ hypotenuse^{2} = 314,721\\hypotenuse = 561\)
The hypotenuse of a right triangle will be $561$.
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A shark is being tracked with a fin tag. The shark is swimming steadily 32 feat below the surface before ascending 5 feet and quickly descending 13 feet. what is the total change in the sharks position underwater?
Answer:
-40 feet
Step-by-step explanation:
To answer this problem is really simple
you take -32 and add 5. This gets you -27
The next thing to do add -13 to -27. This gets you -40.
The shark's depth is increased by 8 feet's with respect to its initial depth (32 feet)
We have a shark which is swimming steadily 32 feet below the surface before ascending 5 feet and quickly descending 13 feet.
We have to determine the total change in the sharks position underwater.
A guy named Rob was in the elevator at rest on floor 7th at a height of 'h feet'. He then descended downwards by 4 feet's to 4th floor after which he ascended to 12th floor such total height of 12th floor from ground floor is 30 feet's. Determine the height of fourth floor.Total distance between ground and 12th floor = Distance between ground to 7th floor + distance between 7th to 12th floor (say x).
30 = h + x
x = 30 - h
Height of the fourth floor (say y) = Total distance between ground and 12th floor - distance between 4th to 12th floor.
y = 30 - 4 - (30 - h) = 30 - 4 - 30 +h = h - 4
According to question, we have -
Initial depth of shark = 32 feet
Ascended Height = 5 feet (moved up)
Descended Height = 13 feet (moved down)
Therefore -
Assume the final position of shark be y, then -
y = 32 - 5 + 13
y = 27 + 13
y = 40
Total change in position = 32 - 40 = - 8
The negative sign represents that the shark's depth is increased by 8 feet with respect to its initial depth (32 feet).
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On a number line, show all points whose coordinates satisfy the following inequalities: PLEASE SHOW ON A NUMBER LINE PLEASE DO WELL |x-20| 1 |x+1.5| 2.5
the answer is zfiekrk but you can
please help i don’t feel like typing
Answer: q=13
Step-by-step explanation:
add the separate the q, add 4 to the 9= 13
13=q
What is the decimal equivalent of 4/9?
O 0.1
0
0.2
O
0.3
O 02
Answer:
Below in bold.
Step-by-step explanation:
Dividing 4 by 9:
9)4.0000(0.444
36
40
36
40
36
4
So it's 0.444.... ( 0.4 recurring).
Someone Tell Me where The Tutors are Its strange that there not here what is going on
Answer:
what is this question?
Step-by-step explanation:
Answer:
yeah .. theres no tutors ( not that i know of) this app is helped by students . so u post a question and other students come and help you( becase they may had the same question as you)... it not a tutoring session , if you have a question just talk to the moderator,, usally they message u
60 families from each school in the district were given a survey asking them their primary method of transportation. 65% of the families surveyed said they would need bus transportation. 15% of families surveyed said they would walk to school. 18% of families surveyed said they would use their own transportation (parent drop off). 2% of those surveyed did not respond. What is the sample and what is the population in this scenario?
a) The sample in this scenario is 60 families from each school in the district.
b) The population is the total number of families in the school district.
What is the sample?The sample refers to the representative subset of the population surveyed or studied to learn more about the whole population.
The sample of families surveyed = 60 families from each school in the district
The population = the number of families in the school district
The percentage of families surveyed who need bus transportation = 65%
The percentage of families surveyed who would walk to school = 15%
The percentage of families surveyed who would use own transportation = 18%
The percentage of non-respondents = 2%
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4
Benelyn for flu should be stored below 25°C, convert 25°C (degree Celcius) to °F (degree
Fahrenheit)
9
Using the formula: Temperature in °F = (5 x temperature in °C +32°)
Round off your answer to the nearest 10°F.
Answer:
Temperature in °F = 160°F
Step-by-step explanation:
Temperature can be defined as a measure of the degree of coldness or hotness of a physical object. It is measured with a thermometer and its units are Celsius (°C), Kelvin (K) and Fahrenheit (°F).
Given the following data;
Temperature in Celsius = 25°C
To convert celsius to fahrenheit, we would use the following formula;
Temperature in °F = (5 x temperature in °C + 32°)
Substituting into the formula, we have;
Temperature in °F = (5 x 25 + 32°)
Temperature in °F = (125 + 32°)
Temperature in °F = 157
To the nearest 10°F;
Temperature in °F = 160°F
Johnny bought 8 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
Answer:
p=8+x
Step-by-step explanation:
Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box
Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)
How to determine the key features?Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:
Vertex: The graph's vertex is at (-1, -5), which indicates that the graph extends upwards (because y = -5 is the minimal value).A vertical line at x = -1 serves as the graph's axis of symmetry. The graph is split into two symmetrical sections by this line.Y-intercept: The graph's y-intercept is at (0, -3), which indicates that here is where the graph and y-axis connect.The graph has a minimum point at y = -5, which is also the vertex of the graph and the lowest point on it.The graph's domain is set as "All Real" or "(-, )", which signifies that it spans all real values on the x-axis horizontally.Range: The graph's range is defined as y -5, which indicates that it climbs vertically from -5 and above on the y-axis.The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).
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Five students sold tickets for a fundraiser. The median is 46, the range is 20, and the mode is 38. Make a possible list of the number of tickets each student sold.
Answer:
38 38 46 47 58
Step-by-step explanation:
46 must be 3rd element as it is median
38 must be first and second element as it is less than the median and there is more than one 38
58 must be the last element as it is 20 more than 38
for the fourth element, it can be any number between 46 and 58, i put 47 as a possible number
There are five cities in a network. The cost of building a road directly between i and j is the entry ai,j in the matrix below. An infinite entry indicates that there is a mountain in the way and the road cannot be built. Determine the least cost of making all the cities reachable from each other.
0 3 5 11 9
3 0 3 9 8
5 3 0 [infinity] 10
11 9 [infinity] 0 7
9 9 10 7 0
Solution :
Given :
There are five cities in a network and the cost of \(\text{building}\) a road directly between \(i\) and \(j\) is the entry \(a_{i,j}\)
\(a_{i,j}\) refers to the matrix.
Road cannot be built because there is a mountain.
The given matrix :
\(\begin{bmatrix}0 & 3 & 5 & 11 & 9\\ 3 & 0 & 3 & 9 & 8\\ 5 & 3 & 0 & \infty & 10\\ 11 & 9 & \infty & 0 & 7\\ 9 & 8 & 10 & 7 & 0\end{bmatrix}\)
The matrix on the left above corresponds to the weighted graph on the right.
Using the \(\text{Kruskal's algorithm}\) we can select the cheapest edge that is not creating a cycle.
Starting with 2 edges of weight 3 and the edge of weight 5 is forbidden but the edge is 7 is available.
The edge of the weight 8 completes a minimum spanning tree and total weight 21.
If the edge of weight 8 had weight 10 then either of the edges of weight 9 could be chosen the complete the tree and in this case there could be 2 spanning trees with minimum value.
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Karen and Kevin collect coins. Karen has X coins. Kevin has 2 coins fewer than three times the number of coins Karen has. Write and simplify an expression for the total number of coins
Answer:
3x-2
Step-by-step explanation:
Kevin has 3x-2 coins because 3 times the amount that Karen has is 3x and he has 2 coins fewer so that's -2.
Winning the jackpot in a particular lottery requires that you select the correct two numbers between 1 and 51 and, in a
separate drawing, you must also select the correct single number between 1 and 47. Find the probability of winning the
jackpot.
The probability of winning the jackpot is
(Type an integer or simplified fraction.)
An urn contains five red and three blue balls. Suppose that four of these balls are selected at random and transferred to a second urn, which is originally empty. If a random chosen ball from this second urn is blue, what is the probability that two red and two blue balls were transferred from the first urn to the second urn.
The probability that two red and two blue balls were transferred from the first urn to the second urn is 0.27 (approx).
What is probability ?
Probability is a measure of the likelihood or chance of an event occurring. It is a mathematical concept that ranges from 0 (indicating an impossible event) to 1 (indicating a certain event).
Let R1 be the event that the first ball drawn from the first urn is red, and let B1 be the event that the first ball drawn from the first urn is blue. Similarly, let R2 and B2 be the events that the second and third balls drawn from the first urn are red and blue, respectively. Finally, let B be the event that a blue ball is drawn from the second urn.
We want to find P(R2=2, B2=2 | B), the probability that two red and two blue balls were transferred from the first urn to the second urn, given that a blue ball was drawn from the second urn.
By Bayes' theorem, we have:
P(R2=2, B2=2 | B) = P(B | R2=2, B2=2) * P(R2=2, B2=2) / P(B)
To find each of these probabilities, we can use the following:
P(R2=2, B2=2) = (5 choose 2) * (3 choose 2) / (8 choose 4) = 15/56, which is the probability of selecting 2 red and 2 blue balls from the first urn.
P(B | R2=2, B2=2) = 2/4 = 1/2, which is the probability of drawing a blue ball from the second urn, given that 2 red and 2 blue balls were transferred from the first urn.
P(B) = P(B | R2=0, B2=4) * P(R2=0, B2=4) + P(B | R2=1, B2=3) * P(R2=1, B2=3) + P(B | R2=2, B2=2) * P(R2=2, B2=2), which is the total probability of drawing a blue ball from the second urn.
To find P(R2=0, B2=4), we need to use the complement rule:
P(R2=0, B2=4) = 1 - P(R2=1, B2=3) - P(R2=2, B2=2)
To find P(R2=1, B2=3), we can use:
P(R2=1, B2=3) = (5 choose 1) * (3 choose 3) / (8 choose 4) = 5/56
Substituting all these values into Bayes' theorem, we get:
P(R2=2, B2=2 | B) = (1/2) * (15/56) / P(B)
To find P(B), we can use the law of total probability:
P(B) = P(B | R2=0, B2=4) * P(R2=0, B2=4) + P(B | R2=1, B2=3) * P(R2=1, B2=3) + P(B | R2=2, B2=2) * P(R2=2, B2=2)
Substituting the values we found earlier, we get:
P(B) = (0/4) * (1 - 5/56 - 15/56) + (1/4) * 5/56 + (2/4) * 1/2 = 0.27 (approx)
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14 out of 49 as a percentage
Answer:
28.57%
Step-by-step explanation:
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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evaluate m - 7.432 when m = 15.45
The simplification of the equation become is 8.018.
According to the statement
we have given that the equation with the value of the m and we have to evaluate the that term.
So, For this purpose, we know that the
Equation is a statement of equality between two expressions consisting of variables and/or numbers.
So, The given information is:
m - 7.432 when m = 15.45
So, Substitute the values in it then
m - 7.432
Now solve this equation
15.45 - 7.432
So,
8.018.
After put the value of the m and the evaluating the equation which is given in the statement is 8.
So, The simplification of the equation become is 8.018.
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