If x is a binomial random variable with n=10 and p=0.8, what is the probability that x is equal to 4?
The probability that x is equal to 4 in a binomial distribution with n=10 and p=0.8 is 0.006048.
Explanation:To find the probability that x is equal to 4 in a binomial distribution with n=10 and p=0.8, we can use the probability mass function (PMF) of the binomial distribution.
The PMF is given by: P(x) = (n choose x) * p^x * (1-p)^(n-x)
Substituting the given values, we have: P(4) = (10 choose 4) * 0.8^4 * 0.2^6 = 0.006048
Before leaving to visit Mexico, Levant traded 270 American dollars and received 3000 Mexican pesos. When he returned from Mexico, he had 100 pesos left. How much will he receive when he exchanges these pesos for dollars?
Using the provided initial exchange rate of 11.11 pesos per dollar, Levant would receive approximately 9 American dollars for his remaining 100 Mexican pesos.
To calculate the amount of American dollars Levant will receive upon exchanging his remaining 100 Mexican pesos, we first need to establish the exchange rate used when Levant first traded his American dollars for Mexican pesos. According to the information given, Levant traded 270 American dollars and received 3000 Mexican pesos, so we can calculate the exchange rate he received:
Determine the exchange rate by dividing the amount of Mexican pesos received by the amount of American dollars traded: 3000 pesos / 270 dollars = 11.11 pesos/dollar.To find out how much Levant will receive for his 100 pesos, divide the number of pesos by the exchange rate: 100 pesos / 11.11 pesos/dollar = 9 dollars (rounded to the nearest dollar).Therefore, Levant would receive approximately 9 American dollars for his remaining 100 Mexican pesos, assuming the exchange rate has not changed since his initial trade.
In an experiment, a, b, c, and d are events with probabilities p(a) = 1/4, p(b) = 1/8, p(c) = 5/8 and p(d) = 1/4. furthermore, a and b are disjoint, while c and d are independent. • are a and b independent? • find p(a ∪
b.and p(c ∩ d)
Please help! XD??????????????
Answer:
40/9 4 4/9 so 40/9 = 4/40 Making the whole number of 4 and 5
Step-by-step explanation:
he ratio of girls to boys in Liza’s classroom is 55 to 44. How many girls are in her classroom if there is a total of 2727 students?
looks like the numbers doubles in the problem
shouldn't it be 5 girls to 4 boys in a class total of 27??
5+4 =9
27/9=3
5*3 = 15
there are 15 girls in class
Complete the comparison: 5 + 4 = ?
A. 5 − 4
B. 10 + 0
C. 9 + 1
D. 14 − 5
Medical researcher estimates that .00004 of the population has a rare blood disorder. if the researcher randomly selects 100,000 people from the population? appendix a statistical tables (round your answers to 4 decimal places.)
a. what is the probability that seven or more people will have the rare blood disorder?
To solve this problem, we make use of the binomial probability equation.
P = [n! / (n – r)! r!] p^r * q^(n – r)
where,
n is the total number of sample = 100,000
r is the number of people with rare blood disorder = 7 or more
p is success of having a disorder = 0.00004
q is 1- p = 0.99996
But since it is easier to solve for the sum of probabilities with 0 to 6 disorder then deduct it from 1.
So,
=> at r = 0
P (r = 0) = [100,000! / (100,000 – 0)! 0!] (0.00004)^0 * (0.99996)^(100,000 – 0)
P (r = 0) = 0.01831
=> at r = 1
P (r = 1) = [100,000! / (100,000 – 1)! 1!] (0.00004)^1 * (0.99996)^(100,000 – 1)
P (r = 1) = 0.07326
=> at r = 2
P (r = 2) = [100,000! / (100,000 – 2)! 2!] (0.00004)^2 * (0.99996)^(100,000 – 2)
P (r = 2) = 0.14652
=> at r = 3
P (r = 3) = [100,000! / (100,000 – 3)! 3!] (0.00004)^3 * (0.99996)^(100,000 – 3)
P (r = 3) = 0.19537
=> at r = 4
P (r = 4) = [100,000! / (100,000 – 4)! 4!] (0.00004)^4 * (0.99996)^(100,000 – 4)
P (r = 4) = 0.19537
=> at r = 5
P (r = 5) = [100,000! / (100,000 – 5)! 5!] (0.00004)^5 * (0.99996)^(100,000 – 5)
P (r = 5) = 0.15630
=> at r = 6
P (r = 6) = [100,000! / (100,000 – 6)! 6!] (0.00004)^6 * (0.99996)^(100,000 – 6)
P (r = 6) = 0.10420
So the total P is:
P (r = 0 to 6) = 0.01831 + 0.07326 + 0.14652 + 0.19537 + 0.19537 + 0.15630 + 0.10420
P (r = 0 to 6) = 0.88933
=> So the probability that 7 or more people will have the disease is:
P (r ≥ 7) = 1 - 0.88933
P (r ≥ 7) = 0.11067 = 11.067%
There is only 0.11067 or 11.067% probability that 7 or more will have the disorder.
To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula. In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000. To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000.
Explanation:To solve this problem, we can use the binomial probability formula. The probability of exactly x successes in n trials is given by the formula:
P(x) = C(n, x) * p^x * (1 - p)^(n - x)
where:
P(x) is the probability of x successes
C(n, x) is the number of combinations of n trials and x successes
p is the probability of success in a single trial
n is the total number of trials
In this case, the probability of success (p) is 0.00004, and the total number of trials (n) is 100,000.
To find the probability that seven or more people will have the rare blood disorder, we need to calculate the sum of the probabilities for x = 7, 8, 9, ..., 100,000. This can be done using the binomial probability formula or statistical tables.
Multiplying a number by 4/5 then dividing by 2/5 is the same as multiplying by what number? Explain.
Maria has added 2 liters of pure alcohol to 8 liters of a 48% alcohol solution. What is the alcohol concentration of the resulting solution.
Answer:
58.4% solution
Volunteers at Sams school use some of the student councils savings for a special project. They buy 7 backpacks for $8 each and fill each backpack with paper and pens that cost $5. By how much did the student councils savings change because of this project
lisa had 1,750 stamps. Minah had 480 stamps fewer stamps than lisa. Lisa gave some stamps to Minah. Now, Minah has 3 times as many stamps as lisa. How many stamps did minah have at first?
If 20 pounds of fertilizer will cover 1500 square feet of lawn, how many pounds are needed for 2500 square feet
the yeastie boys new album bread and the bank goes on sale next week they autographed 85% of 2000 copies before they were packaged to send how many albums were autographed
Given
Yeastie boys new album bread and the bank goes on sale next week
They autographed 85% of 2000 copies
Find out how many albums were autographed.
To proof
Total copies = 2000
autographed 85% of 2000 copies
First convert 85% in decimal form
= [tex]\frac{85}{100}[/tex]
= 0.85
Now find out 85% 0f 20000
= 0.85 × 2000
= 1700
The albums autographed were 1700.
Hence proved
Question25 warmliquid corp., a manufacturer of water heaters, produces 30 water heaters per week. past records indicate that 10% of total water heaters produced in a week are likely to be defective. suppose a quality check was conducted on a sample of six water heaters. what is the probability that four out of six water heaters will be defective?
To solve this problem, we use the binomial probability equation.
P = [n! / (n – r)! r!] p^r q^(n – r)
where,
n is the total number of samples = 6
r is the number of defective = 4
p is the probability it will be defective = 0.10
q is the probability it wont be = 0.90
P = [6! / (6 – 4)! 4!] (0.10)^4 * (0.90)^(6 – 4)
P = 1.215 x 10^-3 = 0.1215%
Mary runs 4 laps in 8 minutes.Nicole runs 12 laps in 18 minutes.Who runs the fastest?
Write down the value of 3 in 18.35
The value of 3 in the number 18.35 is in the tenths place, representing three tenths or 0.3.
Explanation:The value of 3 in 18.35 is in the tenths place, which means it represents three tenths or 0.3 in decimal form. To understand the place value of digits in a decimal number, one must be aware that each position to the right of the decimal point indicates a fractional part of 10. In the number 18.35, the digit 3 is in the tenths place, the 5 is in the hundredths place, and the 1 and the 8 are in the ones and tens places, respectively, to the left of the decimal point.
The value of 3 in 18.35 is 0.03. When looking at a decimal number, each digit occupies a place value. The value of 3 in 18.35 is in the hundredths place. It represents 3 hundredths or 0.03.
Dario increased his savings from $350 to $413. While Monica increased her savings from $225 to $270. Who had a higher percent of increased in savings. The difference in the percents of increase is
Which layer of the osi model is most directly impacted when an internet services provider is found to be blocking udp traffic from a source host?
Answer:
UDP- User Datagram protocol (UDP), is a part of internet protocol suite. It is basically present on the Transport layer of the "Internet Network Model"
Step-by-step explanation:
As the Transport layer of the model, the UDP, SCTP and TCP's are present. Now originally in the TCP/IP model there are four layers:
Host-to-network layer,Network layer,Transport layer,And the Application layer.Now, as the blockage occurred is from source to host then the data flow through the channel on specific internet protocols will halt, so the Host-to-Network layer is been affected by this blockage.The correct layer of the OSI model that is most directly impacted when an internet service provider (ISP) is found to be blocking UDP traffic from a source host is the Transport Layer.
The OSI model consists of seven layers, with the Transport Layer being the fourth layer. This layer is responsible for providing communication services directly to the application processes running on different hosts. The Transport Layer is where protocols like TCP (Transmission Control Protocol) and UDP (User Datagram Protocol) operate.
UDP (User Datagram Protocol) is a transport layer protocol that is used for sending messages (datagrams) in an internet protocol network. It is an alternative to the TCP protocol and is known for its simplicity and efficiency, particularly in cases where error checking and ordering are not necessary.
When an ISP blocks UDP traffic, it is directly interfering with the way the Transport Layer functions for applications that rely on UDP for data transmission. This action prevents UDP packets from being delivered to the intended destination, which can affect applications and services that use UDP for real-time data transmission, such as VoIP (Voice over Internet Protocol), online gaming, and streaming services.
The other layers of the OSI model are not directly impacted by the blocking of UDP traffic:
1. Physical Layer: Deals with the transmission and reception of the unstructured raw bit stream over a physical medium.
2. Data Link Layer: Responsible for node-to-node data transfer and error detection and handling.
3. Network Layer: Manages device addressing, tracks the location of devices on the network, and determines the best way to move data.
4. Transport Layer: Provides transparent transfer of data between end systems, or hosts, and is responsible for end-to-end error recovery and flow control.
5. Session Layer: Manages sessions between end-users, i.e., the opening, closing, and management of sessions between end-user applications.
6. Presentation Layer: Transforms data to provide a standard interface for the Application Layer. It is responsible for data encryption and decryption, as well as data compression.
7. Application Layer: Provides network services to the applications of the user, such as email, file transfer, and web browsing.
Since UDP operates at the Transport Layer, this is the layer most directly impacted by the ISP's decision to block UDP traffic.
. A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling x units is 20x + 0.25x 2 dollars. (a) Find the production level which maximizes profit. (in other words, find the x that maximizes profit) (b) A tax of $10 per unit is imposed on the firm. What is the new optimum production level?
work out the value of: xy + 5 when x = 2 and y = -3
Alex buys 24 apples from the supermarket. When he gets home, he finds that 6 apples are bad. What percentage of the apples are bad? Round your answer to the nearest number
For every 6 hotdogs sold at the malt shop there are 7 hamburgers sold.What is the ratio of hotdogs sold to hamburgers sold?
Which of the equations below is correct to compute the present value of the cash flows at 8% interest?
a. p=1000(p/a,i,8)−150(p/g,i,8)+ 150(p/g, i, 4)(p/f, i, 4)
b. p=400(p/a,i,8)+600(p/a,i,5)− 150(p/g, i, 4)
c. p=150(p/g,i,4)+850(p/a,i,4)+ 400(p/a, i, 4)(p/f, i, 4)?
The correct equation to compute present value of cash flows at 8% interest is C. P = 150(P/G, į, 4) + 850(P/A, i, 4) + 400(P/A, i, 4)(P/F, i, 4).
So, option C is correct answer choice.
To calculate the present value of the cash flows in the image, we can use the formula for the present value of an annuity and the formula for the present value of a lump sum.
Here's the step-by-step calculation for the present value of the cash flows at 8% interest:
(1) Identify the annuity and the lump sum:
The cash flows from year 4 to year 8 represent an annuity of $400 per year for 5 years.
The cash flows in years 1, 2, and 3 represent lump sums of $1000, $850, and $700, respectively.
(2) Calculate the present value of the annuity:
We can use the formula for the present value of an ordinary annuity:
PV = PMT × (1 - 1 / (1 + i)^n) / i
Where:
PMT = the annuity payment ($400 per year)
i = the interest rate (8% or 0.08)
n = the number of periods (5 years)
Plugging in the values, we get:
PV = 400 × (1 - 1 / (1 + 0.08)⁵) / 0.08
PV ≈ $1558.94
(3) Calculate the present value of each lump sum:
We can use the formula for the present value of a lump sum:
PV = FV / (1 + i)^n
Where:
FV = the future value (the cash flow amount)
i = the interest rate (8% or 0.08)
n = the number of periods from the present time to the cash flow (1, 2, and 3 years for the lump sums)
Calculate the present value of each lump sum:
PV (year 1) = 1000 / (1 + 0.08)¹ ≈ $925.93
PV (year 2) = 850 / (1 + 0.08)² ≈ $762.09
PV (year 3) = 700 / (1 + 0.08)³ ≈ $613.91
(4) Add the present values of the annuity and the lump sums.
The total present value is the sum of the present value of the annuity and the present values of the lump sums.
Total PV = PV (annuity) + PV (year 1) + PV (year 2) + PV (year 3)
Total PV ≈ $1558.94 + $925.93 + $762.09 + $613.91
Total PV ≈ $3860.87
Complete and correct question:
Which of the equations below is correct to compute the present value of the cash flows at 8% interest?
A. P= 1000(P/A, i, 8) 150(P/G, i, 8) + 150(P/G, i, 4)(P/F, i, 4)
B. P = 400(P/A, i, 8) + 600(P/A, į, 5) 150(P/G, į, 4)
C. P = 150(P/G, į, 4) + 850(P/A, i, 4) + 400(P/A, i, 4)(P/F, i, 4)
A storage container at the area is 3 metres wide, 6 meters long and 4 metres high. How many 50cm by 50cm by 50cm boxes could you fit into storage container?
A storage container at the area is 3 metres wide, 6 meters long and 4 metres high. How many 50cm by 50cm by 50cm boxes could you fit into storage container?
give a verbal explanation that explains how these three numbers are related
they all relate by making 816:3
Answer:
Step-by-step explanation:
is 2/3(x-4)=1/3(2x-6) a identity
You put $500 in a savings account which earns compound interest at a rate of 0.2% per month. If you don't make any deposits or withdrawls, how much will you have in your account in 10 years (120 months)? Round your answer to the nearest whole cent
Kerianne paints landscapes, and in late 2018 placed four paintings with a retail price of $160 each in the Holmstrom Gallery. Kerianne’s arrangement with Holmstrom is that Holmstrom will earn a 10% commission on paintings sold to gallery patrons. As of December 31, 2018, one painting had been sold by Holmstrom to gallery patrons.
Holmstrom earned a commission of $16 for the painting sold to gallery patrons.
Explanation:The subject of this question is Mathematics and the grade level is High School.
To calculate the commission earned by Holmstrom for the painting sold, we can use the formula: commission = (retail price * commission rate) / 100. In this case, the retail price of the painting is $160 and the commission rate is 10%, so the commission earned by Holmstrom for the painting sold is $16.
Therefore, Holmstrom earned a commission of $16 for the painting sold to gallery patrons.
Learn more about commission calculations here:https://brainly.com/question/6615293
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The revenue Kerianne should recognize in 2024 with respect to these four paintings is $216.
The retail price for each painting is $270. Holmstrom Gallery earns a 20% commission on each painting sold.
The steps are:
Calculate the commission by multiplying the retail price by the commission rate:270 × 0.20 = 54
Determine the net revenue for one painting: Subtract the commission from the retail price:270 − 54 = 216
Calculate total revenue for the paintings sold:Only one painting was sold by December 31, 2024. So, the total revenue Kerianne should recognize for 2024 is the net revenue from one painting:
216 × 1 = 216
The correct question is given below,
Kerianne paints landscapes, and in late 2024 placed four paintings with a retail price of $270 each in the Holmstrom Gallery. Kerianne's arrangement with Holmstrom is that Holmstrom will earn a 20% commission on paintings sold to gallery patrons. As of December 31, 2024, one painting had been sold by Holmstrom to gallery patrons. How much revenue with respect to these four paintings should Kerianne recognize in 2024?
a monkeys heart beat beats about 576 times in 3 minutes how many times does a minkeys heart beat in 1 minute
What is 5 to the power of 2 +2 [73-(4x5)]
Answer:
[tex]5^2+2[73-(4\times 5)]=131[/tex]
Step-by-step explanation:
Given : Expression [tex]5^2+2[73-(4\times 5)][/tex]
To find : What is the solution of the expression ?
Solution :
Expression [tex]5^2+2[73-(4\times 5)][/tex]
Applying BODMAS,
We multiply the term,
[tex]=5^2+2[73-(20)][/tex]
Solve the bracket by subtraction,
[tex]=5^2+2[53][/tex]
Open the bracket and solve quadratic,
[tex]=25+106[/tex]
Add the terms,
[tex]=131[/tex]
Therefore, [tex]5^2+2[73-(4\times 5)]=131[/tex]