Answer:
a. P(x = 3) = 0.061313
b. The expected number of radio blackouts = 4
c. It is not possible to determine the next radio blackout
d. P(x = 4) = 0.19537
Step-by-step explanation:
From the given information:
Using a Poisson process to model the phenomenon:
Since minor radio blackouts occur, on average, twice per year.
Then:
[tex]\lambda = 2 \ years[/tex]
From question (a)
time t = 1/2 (i.e half of the year)
Let x be the random variable that denotes the probability that 3 events will happen in the rest of the year.
Then:
[tex]P(x = 3) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!}[/tex]
[tex]P(x = 3) = \dfrac{e^{-2* 0.5} \times (2 * 0.5)^3}{3!}[/tex]
P(x = 3) = 0.061313
b).
The number of radio blackouts we expect to see in two years can be estimated as follows:
we know that:
t = 2 years
E(x) = λ × t
E(x) = 2 × 2
E(x) = 4
The expected number of radio blackouts = 4
c).
The amount of time we need to wait given that the probability of seeing the next radio blackout is at least 0.5 is as follows:
Here, the time (t) = ???
Thus:
P(x =1) = 0.5
[tex]P(x = 1) = \dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
[tex]\dfrac{e^{-\lambda t} \times (\lambda t)^x}{x!} = 0.5[/tex]
Thus, it is not possible to determine the probability (50%) of seeing the next radio blackout.
d)
The probability that the time to the 4th blackout is at most 2 years can be computed as follows:
Here;
x =4 , t = 2
Thus:
[tex]P(x = 4) = \dfrac{e^{-4 } \times (4)^4}{4!}[/tex]
P(x = 4) = 0.19537
Please help me and answer ASAP !! I’ll mark brainliest.
Answer:
7 miles! hope this helps. :)
Step-by-step explanation:
Answer:
The answer is 69
Step-by-step explanation:
POSSIBLE POINTS: 3.33
Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5
apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants to buy 16 pies for her
sisters and must buy as many chocolate pies as apple pies and banana pies combined.
How many of each item should she buy? Write a system of equations to help you solve
this problem.
# of applie pies =
# of banana pies =
# of chocolate piles =
1
2 3
Answer:
From the information given, you can write the following system of equations:
x+y+z=16 (1)
5x+4.5y+5.5z=82 (2)
z=x+y (3)
You can replace (3) in (1) and (2):
x+y+x+y=16
2x+2y=16 (4)
5x+4.5y+5.5(x+y)=82
5x+4.5y+5.5x+5.5y=82
10.5x+10y=82 (5)
Now, you have the following equations:
2x+2y=16 (4)
10.5x+10y=82 (5)
You can isolate x in (4):
2x=16-2y
x=8-y (6)
Then, you have to replace (6) in (5):
10.5(8-y)+10y=82
84-10.5y+10y=82
84-82=10.5y-10y
2=0.5y
y=2/0.5
y=4
Now, you can replace the value of y in (6) to find x:
x=8-4
x=4
Finally, you can replace the vaue of x and y in (3) to find z:
z=4+4
z=8
According to this, she should buy 4 apple pies, 4 banana pies and 8 chocolate pies.
: The average student college loan rate is 4%. You borrowed $18,000 per year for 4 years for tuition, room, & board. If the interest is computed as simple interest, annually, how much interest will you owe when you graduate. Assume 4 years interest on the freshman year loan, 3 years on the sophomore loan, 2 years on the junior loan, and 1 year on the senior loan.
Answer: A) 7,200
Step-by-step explanation:
Answer:7200
Step-by-step explanation:
2+2=7200
five ninths minus two sixths equals blank what is the answer
Select the correct order for the following numbers
Answer:
cdab
Step-by-step explanation:
the answer is c, d, a, b
focus on the second numbers
in the diagram below m abc equals 165°
find the measure of ABD
Armando and Mikayla have a new grandson. How much money should they invest now so that he
will have $80,000 for his college education in 18 years? The money is invested at 8% compounded
annually
9514 1404 393
Answer:
$20,020
Step-by-step explanation:
The future value formula is helpful.
FV = P(1 +r)^t
$80,000 = P(1.08^18) = 3.9960195P
P = $80,000/3.9960195 = $20,019.92
They should invest about $20,020 now.
One number is five more than another. Their sum is thirteen. Find both numbers.
(smaller value)
(larger value)
Answer:
4 and 9
Step-by-step explanation:
x+(x+5)=13
2x+5=13
2x=8
X=4
Answer:
the smaller value is 2.2
the larger value is 10.8
Step-by-step explanation:
5a + a = 13
6a = 13
a = 2.2
5(2.2) = 10.8
10.8 + 2.2 = 13
Please help me I’m hella confused
Answer:
[tex]m\angle 2=33^\circ[/tex]
Step-by-step explanation:
Right Triangle
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
[tex]m\angle 2+m\angle 3=90^\circ[/tex]
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
[tex]\boxed{m\angle 2=33^\circ}[/tex]
How many to digit numbers are there that have six and eight as factors
Answer:36 i think
Step-by-step explanation:
When multiplying and dividing numbers, if they are BOTH negative numbers (same signs) your answer will be a POSTIIVE answer.
A-true
B-False
Answer:
A-true
Step-by-step explanation:
Please help :))
i know some off yall are smart so, it would be amazing.
Answer:
The correct answer is c.
Step-by-step explanation:
Hope I helped.
Participants in a psychology expirement
were able to memorize an average of M Words in
T minutes, where M is -0.00lt3 and T is 0.1t2 Find the
average
number of words memorized in 10min.
Answer:
11 words
Step-by-step explanation:
The question is poorly formatted.
The right relationship between M and t is given as:
M = −0.001t³ + 0.1t²
Required
Solve for M when t = 10
To do this, substitute 10 for t
So,we have:
M = −0.001t³ + 0.1t²
M = -0.001 * 10³ + 0.1 * 10²
M = -0.001 * 1000 + 0.1 *100
M = 1 + 10
M = 11
11 words in 10 minutes
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 7 x − 8 ) ∘ ∠A=(7x−8) ∘ and m ∠ B = ( 6 x + 17 ) ∘ ∠B=(6x+17) ∘ , then find the value of x.
Answer:
it adds up to 180º so i think you have to do the varibles that are on the same side and see what you get and then do -8 +17 then you sub or add from 180 then you get your answer
Step-by-step explanation:
The value of x for the given vertical angles is given as 25.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The pair of vertical angles are given as below,
∠A = (7x - 8)° and ∠B = (6x + 17)°.
Since, pair of vertically opposite angles are equal.
It implies that ∠A = ∠B.
⇒ 7x - 8 = 6x + 17
⇒ 7x - 6x = 17 + 8
⇒ x = 25
Hence, the value of x can be obtained as 25.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
Which of these is a biomorphic shape? Choose the answer.
O a capital letter W
O a microphone
an outline of a pine tree
O a pyramid
Answer:
Option C: an outline of a pine tree
Step-by-step explanation:
Artists usually use two main types of shapes when drawing. One is geometric shape and the other is bimorphic shape.
A geometric shape simply refers to common regular and precise shapes like triangles, rectangles, squares which are commonly found in man made objects. Whereas, a bimorphic shape is one that is basically rounded or irregular and depicts natural things or living organisms.
Now, from the question, the only thing there that refers to a natural occurring object is "an outline of a pine tree".
Thus, it is a bimorphic shape.
Answer:
C. an outline of a pine tree
Step-by-step explanation:
I just took the test!
There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If a person can eat 2 pounds, how many people are necessary to eat all of the waffles?
Answer: 112 people.
Step-by-step explanation:
Answer:
You would need 112.5 people to eat all the stacks of pancakes.
Step-by-step explanation:
45 times 5 = 225
and then 225 divided by 2 is 112.5
Hope this helps!
Good question lol
what are the steps we should follow to solve and equation
Kent earns $12.75 per hour at his part time job. Kent worked 18 hours last week. This week he spent 1/3 of his money on car repairs. How much did the repairs cost?
ANSWERS TO THE WHOLE QUIZ:
1. 13.23
2. 1/2
3. 0.25
4. 31.16
5. 76.50
Your Welcome and have a great day!
( I had to fail the quiz to give the answers)
PLEASE WRITE THE EQUATION THAT IS WHAT IT IS ASKING!! THE EQUATION IS IN SLOPE INTERCEPT FORM!!
Answer:
y = -3x-5
Step-by-step explanation:
Sharee and her two sisters ate 3 5 of a pizza. How much of the pizza did each girl have? A) 1 3 B) 1 5 C) 2 15 D) 3 10
Sharee and her two sisters ate 3 /5 of a pizza. How much of the pizza did each girl have? A) 1 /3 B) 1/ 5 C) 2 /15 D) 3 /10
Answer:
B) 1/ 5
Step-by-step explanation:
Number of persons = Sharee and her two sisters = 3 persons
Quantity of pizza eaten = 3/5
Each person ate:
3 persons = 3/5 pizza
1 person = x pizza
Cross Multiply
3 × x = 3/5 × 1
x = 3/5 × 1/3
x = 3/5 ÷ 3
x = 3/5 × 1/3
x = 1/5
Hence, each person ate 1/5 pizza.
2. Solve in two ways
1/2 +1/4
Answer:
Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped
I don’t get this AT ALL I need help tia.
Answer:
The first graph is the correct answer.
Step-by-step explanation:
I hope this helps.
choose the ratio that is equivalent to this one 1/7 A. 3/21 B. 14/2 C. 4/11 D. 3/14
Answer:
Step-by-step explanation:
A
Which ex press ion shows the perimeter of the quadrilateral below?
A: 6x+4
B: 7x +11
C: -7x+11
D: -7x +12
option B. 7x+11 is the correct answer
Answer:
ur answer is c) -7x+12
Step-by-step explanation:
2x+3+x-1+3x+5+x+4=perimeter
2x+x+3x+x+3-1+5+4=perimeter
7x+11=perimeter
did u got what i had done message on this ans
Complete the table of values to find the solutions of the equation -x + y = 6.
Answer:
Answer:
X l Y
-2 l 4
-1 l 5
0 l 6
1 l 7
2 l 8
Step-by-step explanation:
X l Y
-2 l - (-2) + y =6 => y = 6 - 2=> y = 4
-1 l - (-1) + y =6 => y = 6 - 1=> y = 5
0 l - (0) + y =6 => y = 6 + 0=> y = 6
1 l - (1) + y =6 => y = 6 +1 => y = 7
2 l - (2) + y =6 => y = 6 + 2=> y = 8
Note: - (-a) + b = a + b
- (a) + b = - a + b
Is the following number rational or irrational?
2.238359881…….
Answer
for the short answer...it's irrational
Answer:
It is irrational.
Step-by-step explanation: And it is not the solution to any polynomial equation with integer coefficients, so it is also transcendental.
However, it IS possible to raise an irrational number to an irrational power and get a rational number.
For example, let x=2–√. It is well known that this is irrational.
Let y=2log25. This is irrational, since log25 is irrational.
But xy=2–√(2log25)
=2(log25)=5.
This last equation is true because logs are inverses of powers. For example, 2(log2n)=n.
I would have thought any irrational raised to an irrational was always irrational, until I saw an example like this.
It is still a surprising result to me.
I need help :( Pleaseeeeeee
Answer:
-5
Step-by-step explanation:
-15/-3
-5
If im wrong sorry :(
Step-by-step explanation:
the answer is -63 lol for some reason it said i need 20 letters to answer your question but there you go -63
Suppose the time it takes a certain printer to print a document is an Exponential random variable with an average time of 15 seconds. You send a document to the printer at 1:00pm, and it is the third document in the queue. What is the probability that your printout will be ready by 1:01pm
Answer:
0.8046
Step-by-step explanation:
We're asked to calculate the probability that the job will be ready by 1.01 pm
From the question, we can note that the parameter of an Exponential is E(X)= 15
Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ
Therefore, E(Y) = 1/15
Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15
Therefore, the required probability is
P(X ≥ 3) = 1 - P(X < 3)
= 1 - Poisson(3,4, true)
= 1 - 0.1954
= 0.8046
Ruby combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. She pours the paint equally into 2 containers, and has 1.56 liters of paint left over. How many liters of paint are in each container?
Total paint = 8.27 + 6.65
Container
Container
Paint left
?
1.56
There are
liters of paint in each container.
Answer:
Step-by-step explanation:
Josie combines 8.27 liters of red paint with 6.65 liters of blue paint to make purple paint. This means that the total number of liters of paint in the mixture(purple paint) is
8.27 + 6.65 = 14.92 liters
She pours the paint equally into 2 containers, and has 1.56 liters of paint left over. This means that the amount of paint that she poured inside the 2 containers is
14.92 - 1.56 = 13.36 liters.
Therefore, the number of liters of paint in each container is
13.36/2 = 6.68 liters
Step-by-step explanation:
Answer:
There are 6.68 liters of paint in each container.
Step-by-step explanation:
First, add both of the paint values to get 14.92. Subtract the remaining paint value to get the paint that was organized into the containers (13.36). Divide the value of paint by 2 to get 6.68.
Simplify 2x^3 х 3x^2
Answer:
ans = 6x4
Step-by-step explanation:
(2x2)(3x2)
first multiply the coefficients
(2*3) = 6
next multiply the variables
(x2*x2) = x2+2 = x4
productofcoeficients,productofvariables
= 6x4