Answers
Answer:
380
144
147
345
114
368
296
174
62
Answer:
30 x 6 = 180
95 x 4 = 380
48 x 3 = 114
21 x 7 = 147
69 x 5 = 345
38 x 3 = 114
46 x 8 = 368
74 x 4 = 296
29 x 6 = 174
31 x 2 = 62
Related Questions
The distribution of lifetimes of a particular brand of car tires has a mean of 51,200 miles and a standard deviation of 8,200 miles. Assuming that the distribution of lifetimes is approximately normally distributed and rounding your answers to the nearest thousandth, find the probability that a randomly selected tire lasts: A) Between 55,000 and 65,000 miles B) Less than 48,000 miles C) At least 41,000 miles D) A lifetime that is within 10,000 miles of the mean
Answers
Answer:
a) 0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.
b) 0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.
c) 0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.
d) 0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean
Step-by-step explanation:
Problems of normally distributed distributions are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 51200, \sigma = 8200\)
Probabilities:
A) Between 55,000 and 65,000 miles
This is the pvalue of Z when X = 65000 subtracted by the pvalue of Z when X = 55000. So
X = 65000
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{65000 - 51200}{8200}\)
\(Z = 1.68\)
\(Z = 1.68\) has a pvalue of 0.954
X = 55000
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{55000 - 51200}{8200}\)
\(Z = 0.46\)
\(Z = 0.46\) has a pvalue of 0.677
0.954 - 0.677 = 0.277
0.277 = 27.7% probability that a randomly selected tyre lasts between 55,000 and 65,000 miles.
B) Less than 48,000 miles
This is the pvalue of Z when X = 48000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{48000 - 51200}{8200}\)
\(Z = -0.39\)
\(Z = -0.39\) has a pvalue of 0.348
0.348 = 34.8% probability that a randomly selected tyre lasts less than 48,000 miles.
C) At least 41,000 miles
This is 1 subtracted by the pvalue of Z when X = 41,000. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{41000 - 51200}{8200}\)
\(Z = -1.24\)
\(Z = -1.24\) has a pvalue of 0.108
1 - 0.108 = 0.892
0.892 = 89.2% probability that a randomly selected tyre lasts at least 41,000 miles.
D) A lifetime that is within 10,000 miles of the mean
This is the pvalue of Z when X = 51200 + 10000 = 61200 subtracted by the pvalue of Z when X = 51200 - 10000 = 412000. So
X = 61200
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{61200 - 51200}{8200}\)
\(Z = 1.22\)
\(Z = 1.22\) has a pvalue of 0.889
X = 41200
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{41200 - 51200}{8200}\)
\(Z = -1.22\)
\(Z = -1.22\) has a pvalue of 0.111
0.889 - 0.111 = 0.778
0.778 = 77.8% probability that a randomly selected tyre has a lifetime that is within 10,000 miles of the mean
Help with math problems
Answers
The required solution of the given inequality is {m | 6 ≤ m < 9}.
What is inequality?In mathematics, inequality is a statement of an order relationship between two numbers or algebraic expressions that is greater than, greater than or equal to, less than, or less than or equal to.
According to question:
We can solve the inequality as follows:
3 + m ≥ 9 or 1 + 2m < 19
Subtracting 3 from both sides of the first inequality, we get:
m ≥ 6
Subtracting 1 from both sides of the second inequality and then dividing by 2, we get:
m < 9
Putting these two inequalities together, we get:
6 ≤ m < 9
This is the solution in interval notation. To write it in set-builder notation, we can use the following notation:
{m | 6 ≤ m < 9}
This means the set of all values of m such that m is greater than or equal to 6, and less than 9.
To know more about Inequality visit:
brainly.com/question/30239204
#SPJ1
Two pedestrians simultaneously left two villages 27 km apart and walked toward each other, meeting after 3 hours. The first pedestrian walked at a speed of 4 km per hour. At what speed (in km per h) did the second pedestrian walk?
Answers
The speed of the second pedestrian is 5 kilometers per hour.
At what speed did the second pedestrian walk?Let's say that the speed of the second pedestrian is S.
We know that the other pedestrian walks at a speed of 4km/h, and they (together) travel a distance of 27km in 3 hours, then we can write the linear equation:
(4km/h + S)*3h = 27km
It says that both pedestrians work, together, a total of 27km in 3 hours.
Now we can solve that linear equation for S, to do this, we need to isolate S in the left side of the equation.
4km/h + S = 27km/3h = 9 km/h
S = 9km/h - 4km/h = 5km/h
The speed of the second pedestrian is 5 kilometers per hour.
If you want to learn more about speed:
https://brainly.com/question/4931057
#SPJ1
С
What is the solution to the equation 3x ÷ (-6) = -12?
Answers
Answer:
x=24
Step-by-step explanation:
First: Multiply -6 to both sides
Next: You get 3x=72
Then: Divide 72 by 3
Last:....
ANSWER: x=24
hi !! the answer is x= -24 :))
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
Answers
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
for more search question water
https://brainly.com/question/17120212
#SPJ8
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
Answers
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
Find out more on monthly payments at https://brainly.com/question/27926261
#SPJ1
A box contains 20 black and 30 green balls. One ball is drawn at random, its colour noted and the ball is then replaced in the box for the next draw. The process continues. a) find the probability that first green ball is drawn at the 4 th draw. b) find the probability that the sequence of draws has the third green ball in the sixth draw
Answers
Answer:
a)
Step-by-step explanation:
a) The probability of drawing a green ball on any given draw is 30/50 (since there are 30 green balls out of a total of 50 balls). Since the ball is replace....
Conduct a survey based on the topic below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The number of coins that teachers carry with them •
Answers
Research Report:
Title: The Number of Coins Carried by Teachers
Introduction:
This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.
The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.
Results and Analysis:
A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.
Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.
Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.
Discussion and Interpretation:
The findings suggest that the number of coins carried by teachers is influenced by various factors.
Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.
The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.
The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.
This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.
Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.
Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.
for such more questions on investigate
https://brainly.com/question/32310280
#SPJ8
Suppose a university has only one women's softball scholarship remaining for the coming year. The final two players that the university is considering are Allison Fealey and Emily Janson. The coaching staff has concluded that the speed and defensive skills are virtually identical for the two players, and that the final decision will be based on which player has the best batting average. Crosstabulations of each player's batting performance in their junior and senior years of high school are as follows.
Outcome Allison Fealey
Junior Senior
Hit 15 79
No Hit 25 175
Total At-Bats 40 254
Outcome Emily Janson
Junior Senior
Hit 74 35
No Hit 130 85
Total At-Bats 204 120
A player's batting average is computed by dividing the number of hits a player has by the total number of at-bats. Batting averages are represented as a decimal number with three places after the decimal. (Round your answers to three decimal places.)
(a) Calculate the batting average for each player in her junior year.
Allison Fealey ___
Emily Janson ___
Calculate the batting average of each player in her senior year.
Allison Fealey ___
Emily Janson ___
Using this analysis, which player should be awarded the scholarship? Explain.
Because ---Select--- (Allison Fealey)? (Emily Janson)? had the higher batting average in both her junior year and senior year, ---Select--- (Allison Fealey)? (Emily Janson)? should receive the scholarship offer.
b) Combine or aggregate the data for the junior and senior years into one crosstabulation.
Outcome Player
Fealey Janson
Hit No Hit Total At-Bats Calculate each player's batting average for the combined two years. (Round your answers to three decimal places.)
Allison Fealey ___
Emily Janson ___
Using this analysis, which player should be awarded the scholarship? Explain.
Because ---Select--- (Allison Fealey)? (Emily Janson)? has the higher batting average over the combined junior and senior years, ---Select--- (Allison Fealey)? (Emily Janson)? should receive the scholarship offer.
c) Are the recommendations you made in parts (a) and (b) consistent? Explain any apparent inconsistencies.
The recommendations in parts (a) and (b) ---Select--- (are)? (are not consistent)?. This is an example of ---Select--- (crosstabulation rule)? (aggregation rule)? (conclusions paradox)? (Simpson's Paradox)?. It shows that in interpreting the results based upon separate or un-aggregated crosstabulations, the conclusion can be ---Select--- (reversed)? (the same)? when the crosstabulations are grouped or aggregated.
Answers
Emily Janson should receive the scholarship offer because she has the higher batting average over the combined junior and senior years.
The batting average of a player is calculated by dividing the number of hits they have by the total number of at-bats. This can be expressed as a formula: Batting Average = H/AB.
For Allison Fealey, her junior year batting average can be calculated by dividing the number of hits (15) by the total number of at-bats (40), which is 0.375. Emily Janson’s junior year batting average can be calculated by dividing the number of hits (74) by the total number of at-bats (204), which is 0.363
For Allison Fealey, her senior year batting average can be calculated by dividing the number of hits (79) by the total number of at-bats (254), which is 0.310. Emily Janson’s senior year batting average can be calculated by dividing the number of hits (35) by the total number of at-bats (120), which is 0.292.
When the data from the junior and senior years were combined and aggregated, Allison Fealey’s combined two-year batting average can be calculated by dividing the number of hits (94) by the total number of at-bats (294), which is 0.320. Emily Janson’s combined two-year batting average can be calculated by dividing the number of hits (109) by the total number of at-bats (324), which is 0.336.
Based on this analysis, Emily Janson should receive the scholarship offer because she has the higher batting average over the combined junior and senior years.
Learn more about average here:
https://brainly.com/question/24057012
#SPJ4
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
Answers
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
For such more questions on translated
https://brainly.com/question/12861087
#SPJ8
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answers
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answers
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to
day 102
House Sales
12
42.8)
Number of Houses Sold
(6.6)
(12.4)
0.0)
(102)
2
4
6
8
10
12
X
Number of Days
0
Answers
Answer:
a is the right anser
Step-by-step explanation:
The average rate of change from day 2 to day 10 is given by the slope of the line m =
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The number of houses sold on day 2 is P
The number of houses sold on day 10 is Q
Let the first point be P ( 2 , 8 )
Let the second point be Q ( 10 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 8 ) / ( 10 - 2 )
Slope m = -6/8
m = -3/4
Therefore , the number of houses sold between day 2 and 10 is -3/4 houses per day
Hence , the slope is m = -3/4 houses per day
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
The complete question is attached below :
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10
I needddd helpppp
Which point is a representation of -(-3)???
Answers
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
This figure represents a garden box that is to be filled with soil.
How much soil will it take to fill the garden box?
Enter your answer in the box.
ft³
Three-dimensional figure that could be formed by placing a smaller rectangular prism on top of a larger rectangular prism such that the widths of the prisms are the same. The larger bottom prism has a length of 19 feet, a width of 12 feet, and a height of 6 feet. The smaller top prism has a length of 10 feet and a height of 3 feet.
Answers
Answer:
1134 ft^3
Step-by-step explanation:
The distribution of individual incomes in the United States is strongly
skewed to the right. In 1997, the mean and median incomes of the top 1% of
Americans were $330,000 and $675,000. Which of these numbers is the
mean and which is the median?
Answers
Answer:
Step-by-step explanation:
The fact that the distribution is "skewed to the right" means that there are a few individuals with extremely high incomes that pull the average (mean) income higher, while the majority of individuals have lower incomes. In such a distribution, the median income is usually lower than the mean income.
In the case of the incomes of the top 1% of Americans in 1997, we are given that the mean income was $330,000 and the median income was $675,000. Since the median income is higher than the mean income, this confirms that the distribution is indeed skewed to the right.
Therefore, the median income of $675,000 is the value at which half of the individuals in the top 1% have incomes higher than $675,000 and half have incomes lower than $675,000. The mean income of $330,000 is the average income of all individuals in the top 1%.
Martina runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?
Answers
Answer:
75 minutes or 1 hour an 15 minutes
Step-by-step explanation:
It takes Martina to run 7.5 minutes for a mile.
Multiply 7.5 by 10 = The minutes for 10 miles
Which of the following equations represent a proportional relationship?
Choose all that apply.
Answers
Answer:
I tried to draw it out for you
Find the height of the tower using the information given in the illustration.
Answers
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Anthony and his family went out to dinner last night. When the bill came, Anthony's mom figured out how much to tip their waiter. For a dinner bill of d dollars, she tips 0.20d dollars. The bill for the family's dinner was $56. How much did Anthony's family tip the waiter?
Answers
If for every amount of $d , $0.20d is tipped, then for amount of $56, $11.6 will be tipped to the waiter
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
If for every $d , $0.20d is tipped, then this means that the total amount spent is $56 and the amount Anthony's family tip the waiter is calculated as:
0.2 × 56
= $11.6
Therefore the waiter was tipped $11.6
learn more about rate from
https://brainly.com/question/25793394
#SPJ1
Answer:
A dinner bill of d dollars calls for a tip of 0.20d dollars. You want to find how much the family tipped the waiter for a bill of d=$56.
Evaluate the expression 0.20d for d=56.
0.20d
=
0.20(56)
=
11.2
The family tipped the waiter $11.20.
4. Write an equation of the vertical line that passes through the point (-2,-8)
Answers
You can know this because when you have only an x value you graph it by drawing a line straight up from there because there is every possible y value.
44cm to 1m in simplest form
Answers
A centimeter (cm) is a unit of length in the metric system, equal to one hundredth of a meter, commonly used to measure small distances or dimensions such as the length or width of an object.
How to convert 44cm to 1m in simplest form?To convert 44cm to meters, we need to divide 44 by 100 (since there are 100 centimeters in 1 meter) to get:
44/100 = 0.44 meters
To express this in simplest form, we can leave it as 44/100 or simplify it by dividing both the numerator and denominator by the greatest common factor (GCF) of 44 and 100, which is 4:
44/100 = (44 ÷ 4)/(100 ÷ 4) = 11/25
Therefore, 44 cm is equivalent to 0.44 meters or 11/25 meters in simplest form.
To know more about metre
brainly.com/question/13187866
#SPJ9
PLS HELP ME !!!!!!!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
All sides make a cube
Answer:
D
Step-by-step explanation:
What does the notation P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B occurring, given that event A has occurred B. The probability of event B occurring, divided by the probability of event A occurring C. The probability of event A occurring, given that event B has occurred D. The probability of both event A and event B occurring
Answers
Answer:
A. The probability of event B occurring, given that event A has occurred
Step-by-step explanation:
Conditional probability
A probability is conditional if is depends on what has already happened.
The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)
Therefore, P(B | A) means "The probability of event B occurring, given that event A has occurred"
Additional information:
P(A | B) means "A given B", i.e. the probability of event A occurring, given that event B has occurred
P(A ∩ B) means the probability of event A and event B both happening.
Activity
You have also set up a card game in which a player picks a card from a standard deck of 52 cards. The player wins if these two events occur together: E1, in which the card drawn is a black card, and E2, in which the card drawn is a numbered card, 2 through 10.
Question 1
What is the probability of getting a black card and a numbered card? Calculate the probabilities P(E1) and P(E2) as fractions.
Answers
The probability of getting a black card and a numbered card is 9/26.
To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.
There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).
Therefore, the probability of drawing a black card (P(E1)) is:
P(E1) = Number of favorable outcomes / Total number of possible outcomes
P(E1) = 26 / 52
Simplifying this fraction, we get:
P(E1) = 1/2
So the probability of drawing a black card is 1/2.
To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.
Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.
Therefore, the probability of drawing a numbered card (P(E2)) is:
P(E2) = Number of favorable outcomes / Total number of possible outcomes
P(E2) = 36 / 52
Simplifying this fraction, we get:
P(E2) = 9/13
So the probability of drawing a numbered card is 9/13.
To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:
P(E1 ∩ E2) = P(E1) × P(E2)
P(E1 ∩ E2) = (1/2) × (9/13)
Simplifying this fraction, we get:
P(E1 ∩ E2) = 9/26
Therefore, the probability of getting a black card and a numbered card is 9/26.
For such more questions on probability
https://brainly.com/question/25839839
#SPJ8
What is the answer to this problem? x + (3x -2) = 18
Answers
Answer: 5
Step-by-step explanation:
x+3x−2=18
x+3x+−2=18
(x+3x)+(−2)=18(Combine Like Terms)
4x+−2=18
4x−2=18
Step 2: Add 2 to both sides.
4x−2+2=18+2
4x=20
Step 3: Divide both sides by 4.
x=5
PLEASE HELP!!!!!!!!!!!!!
Answers
Hope this helps!
Help needed with this asap
Answers
Answer:
x = 10
Step-by-step explanation:
RO and OQ are congruent
Since RO = 50, and RQ = 12x - 20,
OQ = 12x - 20 - 50 = RO
50 = 12x - 70
120 = 12x
x = 10
-Chetan K
Which set of side lengths forms a right triangle?
O2, 3, 13
O4, 6, 10
O 9, 12, 18
O 15, 36, 39
Answers
Step-by-step explanation:
hope you can understand
Alex was playing a board-game with a six-sided die. She tossed the die for her turn. What is the probability of 5?
Answers
Answer:
0.1667 = 16.67% probability of 5
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
The die can have 6 possible outcomes(1, 2, 3, 4, 5 and 6).
5 is one of the outcomes. So
p = 1/6 = 0.1667
0.1667 = 16.67% probability of 5