Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all visitors to the website are looking for other websites. Assuming that this estimate is correct, find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website. Round your response to at least three decimal places.
Answer:
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
Step-by-step explanation:
For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
5% of all visitors to the website are looking for other websites.
So 100 - 5 = 95% are looking for the website, which means that [tex]p = 0.95[/tex]
Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
This is P(X = 2) when n = 4. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135[/tex]
0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Can someone please help me ??!!!!!
First problem:
C
Second:
A
Third:
C
Select the correct answer.
Jamal is comparing his transportation options for an upcoming trip. He's considering a rental car and a taxi service. Based on his planned routes
during his trip, he expects a taxi service would cost about $128. Jamal could also get a rental car for a dally rate and unlimited miles. If Jamal's
trip will last 4 days and he expects to pay about $24 for gas, which graph shows the range of car rental rates that would be cheaper than the taxi
service?
The range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
Let's suppose the rental car rate is:
$x per day
Number of days of Jamal's trip = 4 day
He expects to pay $24 for gas (for car rent)
He expects a taxi service would cost about $128
Inequality can be modelled:
128 > 24 + 4x
4x < 104
x < 26
Thus, the range of rental car rates that would be cheaper for Jamal than the taxi service and the graph of inequality x<26 is shown.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
ayuda plis es para hoy.
Answer:
8.29
Step-by-step explanation:
Cada linea representa ,1
y como es la ultima linea de las 9 antes del 8,3 la respuesta es 8.29
) Jess has saved dimes ($ 0.10) and quarters ($ 0.25) in their piggy bank. Define the variables and write a
system of equations to determine the number of dimes and quarters if they have 25 coins worth $4.00
in total. Then solve the system using the best method for the situation.
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
The number 7 added to twice the product of P and Q.
Answer:
Answer: 2pq +7 is the ANS.
6. Mason is looking for a new job. One company offers him a salary of $650 per 40-hour work week. What will Mason's hourly pay rate be if he accepts the job?
A$15.75 per hour
B$16.25 per hour
C$16.50 per hour
D$17.75 per hour
Answer:
b. $16.25
...............
The cost of 5 dresses and 2 belts is $48. The cost of 3 dresses and 2 belts is $32. Find the cost of a dress and a belt. Let x denote the cost of a dress and y denote the cost of a belt.
A: x = $8, y = $4
B: x = $5, y = $4
C: x = $7, y = $10
D :x = $4, y = $5
Help me please:) you will get 16 points. Help with number 5
Answer:
you would add a /1 under the 7 so it would be 7/1
Step-by-step explanation:
Answer:
84/12
Step-by-step explanation:
since 7 is a whole, you need to make it a improper fraction so its easier to subtract. We need to do this by making sure the denominator stays the same which is 12.Then do 7x12. you get 84, so 84/12. Then its easier to solve.
Can anyone please help me
Answer:
a. c = 5.5n
b. Continuous
c. $33
Step-by-step explanation:
A store sells assorted nuts for $5.50 per pound.
a) Write a function in equation form to represent the total cost (c) of any number of pounds of nuts (n)
For every n, 5.5 is added to c. Thus, c = 5.5n
b) Will the graph of this function be continuous or discrete?
Continuous domains are ones that continue on in between intervals. For example, the height of someone would be continuous, because it could, for example, be between 50 inches and 70 inches. On the other hand, discrete domains are ones that can only be a set of given numbers. An example would be how much food you need to feed to a number of cats (for example, each cat needs to eat 0.5 pounds of food). Because you cannot have half a cat, the domain needs to have whole numbers.
Because you can buy 0.5 or 0.2 (or any amount of nuts), the domain is continuous.
c) What would the total cost be for 6 pounds of nuts?
Using the function from a), we know that the cost is 5.5n, where n is the amount of nuts you buy, in pounds. So, plug in "6"
5.5n = 5.5 * 6 = 33
Cost is $33
I hope this helps! Feel free to ask any questions!
What's the answer to this problem? I tried 40 & 40,000,000 for my answers but it's still incorrect.
Answer:
39.51 million
Step-by-step explanation:
please i need help i need 1-12
i need this done now pls and no bs he hehrhd pls i need this now!
Answer:
Dividing and Subtracting by a negative number will reverse the inequality sign, Addign and Multiplying by a positive number will stay the same. Please tell me if I am wrong.
Please answer the question below:
What is the range of the function graphed below
Answer:
D
Step-by-step explanation:
You are visiting the rainforest, but unfortunately your insect repellent ran out. As a result, at each minute, with probability 0.5, one mosquito lands on your neck, and with probability 0.5, no mosquito lands. If a mosquito lands, it will bite you immediately with probability 0.2, or leave immediately with probability 0.8. a) What is the expected time between successive bites
Answer:
we will assume a variable X for time which is time between two successive bites and time until next bite.
X = (time between successive mosquito bites) = (time until the next mosquito bite).
According to the Bernoulli process, the bites occur parameter y = (0.5)(0.2) = 0.1.
X is a geometric random variable, so
E[X] = 1/p = 10
and
var(X) = (1 − p)/p^2 = (1 - 0.1)/0.1^2 = 0.9 / 0.01 = 90
A number is greater than -4 and less than 9. What is the LEAST possible integer value of this number? The LEAST possible integer value is _____.
Answer:
10
Step-by-step explanation:
Find the diameter of a circle with circumference 44 cm
Answer:
14cm
Step-by-step explanation:
just so u know all u gotta ddo to findd the diameter is divide it by 3.14 i think
We need to assign 4 students (Daniel, Jeremy, Xiaoying, Ashu) to 3 different teams (Team 1, Team 2, and Team 3). Each team needs to have at least 1 student. To maximize productivity, it has been determined that Ashu and Jeremy cannot be on the same team. How many different ways are there to assign the teams?
Answer:
There are five different ways to assign teams.
Step-by-step explanation:
To make the correct assignment we must bear in mind that there are two variables or students that will always be static, which are Aishu and Jeremi, so the other two students could be assigned with each of them finally 5 teams can be successfully formed.
First team: (Aishu-Xiaoying), (Jeremy), (Daniel)
Second team: (Aishu), (jeremy-xiaoying),(Daniel)
Third Team: (Aishu), (Jeremy), (Daniel-Xiaoying)
Fourth Team: (Aishu-Daniel), (Jeremy), (Xiaoying)
Fifth Team: (Aishu), (Jeremy-Daniel), (Xiaoying)
Find the sample variance and standard deviation of:
21, 12, 3, 9, 11
s2=?
Answer:
42. 2
6.496
Step-by-step explanation:
Given the data :
21, 12, 3, 9, 11
Variance :
S² = Σ(x - m)² ÷ (n - 1)
n = sample size = 5
m = sample mean = Σx / n
m = (21 + 12 + 3 + 9 + 11) / 5
m = 11. 2
(21-11.2)² + (12 -11.2)² + (3 - 11.2)² + (9-11.2)²
+ (11-11.2)² / (5 - 1)
S² = 42.2
Standard deviation, s = sqrt(42.2) = 6.496
Find the product of the following:
3.57 and 8.1
Pls help I’m being timed!!!!
Answer:
28.917
Step-by-step explanation:
i multiplied the two numbers
Is -6 greater than -3??
Answer:
No.
Step-by-step explanation:
-3 is greater than -6. I Hope this helps. Im trying to level up so I'd appreiciate it if you marked me as brainliest. Thank you!
1. You see a pair of sneakers that are priced $150. You have a 20% coupon off all sneakers. How much do you pay for the sneakers with the discount?
Expression________________________
Answer: $120
Step-by-step explanation:
This is fairly easy if you use this solution to solve it
Take the $150 and multiply by 0.8
You multiply by 0.8 because you do
1-0.20 (20% off) to get 0.8
The equation will look like
$150(0.8)=$120
what term best describes the graph of x-1
Answer: it might be something like, descending slope, or declining slope, are there answer choices
A tower that is 126 feet tall casts a shadow 148 feet long. Find the angle of elevation of the sun to the nearest degree.
The angle of elevation is ____ degrees.
Answer:
[tex] \boxed{\theta = 40 \degree}[/tex]
Step-by-step explanation:
[tex] \tan( \theta ) = \frac{opp}{adj} = \frac{126}{148} \\ \theta = { \tan}^{ - 1} (0.8513) \\ \theta = 40.4[/tex]
Group A is on the north side of the fire and is 800 ft away from group B and 900 feet away from group C. Group A knows that the angle between its two adjacent sides is 89.6. “
The emergency responders want to properly inform the nearby towns of the danger proximity. They will need all three angles. To do this they need some additional information. The emergency responders need to know the angle of Group B and Group C. They also need to know the distance between Groups B and C.
Answer:
1. Length BC is 1200 ft
2. Angle B is 48.6°
3. Angle C is 41.8°
Step-by-step explanation:
1. Determination of the length BC
Side opposite C = c = 800 ft
Side opposite B = b = 900 ft
Angle A = 89.6°
Side opposite BC = a =?
Using cosine rule, we can obtain length BC as follow:
a² = b² + c² – 2bc CosA
a² = 900² + 800² – 2 × 900 × 800 × Cos89.6
a² = 810000 + 640000 – 1440000 × 0.007
a² = 1450000 – 10080
a² = 1439920
Take the square root of both side
a = √1439920
a ≈ 1200 ft
Thus, length BC is 1200 ft
2. Determination of angle B
Side opposite B = b = 900 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle B =?
Angle B can be obtained by using sine rule as follow:
a / Sine A = b / Sine B
1200 / Sine 89.6° = 900 / Sine B
Cross multiply
1200 × Sine B = 900 × Sine 89.6°
1200 × Sine B = 900
Divide both side by 1200
Sine B = 900/1200
Sine B = 0.75
Take the inverse of Sine
B = Sine¯¹ 0.75
B = 48.6°
Thus, angle B is 48.6°
3. Determination of angle C
Side opposite C = c = 800 ft
Side opposite A = a = 1200 ft
Angle A = 89.6°
Angle C =?
Angle C can be obtained by using sine rule as follow:
a / Sine A = c / Sine C
1200 / Sine 89.6° = 800 / Sine B
Cross multiply
1200 × Sine C = 800 × Sine 89.6°
1200 × Sine C = 800
Divide both side by 1200
Sine C = 800/1200
Sine C = 0.6667
Take the inverse of Sine
C = Sine¯¹ 0.6667
C = 48.6°
Thus, angle C is 41.8°
how do you get a letter in math to a number
Answer:
You need to the value of the letter "variable."
Step-by-step explanation:
Answer:
Huh? Can I get more details?
Step-by-step explanation:
Juliette ate 1/3 of a cake, and Brad ate 3/8 of the same cake. What fraction of the cake was eaten?
Answer:
17/24
Step-by-step explanation:
Find common denominators...
1/3 = 8/24
3/8 = 9/24
Now add...
17/24 of the cake was eaten
Hope this helps :)
i need help simplifying 31/20
Answer:
31/20 is already in the simplest form.
Step-by-step explanation:
It can be written as 1.55 in decimal form (rounded to 6 decimal places).