Answer:
Part A:
[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
P(X=15)=0.17456
Part D:
P(X≥15)=0.80417
Part E:
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
Step-by-step explanation:
Part A:
Binomial Distribution is used because the number of tracks and the probability to find the intruding object is constant for all tracks
It means:
[tex]P(X=x)=n_{C_{x}}*p^x*(1-p)^{n-x}[/tex]
x is a binomial Random Variable.
Part B:
Value of p=0.8
Value of n=20
Part C:
x=15
[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]
By solving above Expression:
P(X=15)=0.17456
Part D:
P(X≥15)=P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)
[tex]P(X=15)=20_{C_{15}}*0.8^{15}*(1-0.8)^{20-15}\\[/tex]
P(X=15)=0.17456
[tex]P(X=16)=20_{C_{16}}*0.8^{16}*(1-0.8)^{20-16}\\P(X=16)=0.21819[/tex]
[tex]P(X=17)=20_{C_{17}}*0.8^{17}*(1-0.8)^{20-17}\\P(X=17)=0.20536[/tex]
[tex]P(X=18)=20_{C_{18}}*0.8^{18}*(1-0.8)^{20-18}\\P(X=18)=0.13691\\\\P(X=19)=20_{C_{19}}*0.8^{19}*(1-0.8)^{20-19}\\P(X=19)=0.05765\\\\P(X=20)=20_{C_{20}}*0.8^{20}*(1-0.8)^{20-20}\\P(X=20)=0.01153[/tex]
Now, Adding Probabilities:
[tex]P(X=15)+P(X=17)+P(X=16)+P(X=18)+P(X=19)+P(X=20)\\=0.17456+0.21819+0.20536+0.13691+0.05765+0.01153\\[/tex]
P(X≥15)=0.80417
Part E:
Mean Distribution:
E(x)=n*p
E(x)=20*0.8
E(x)=16
E(x) tells us that out of 20 tracks the SBIRS will detect from 16 tracks.
What is the distance between points A and B? Enter your answer, rounded to the nearest tenth, in the box. units
Answer:
Distance between A and B = 10.4 unit (Approx.)
Step-by-step explanation:
Given:
Coordinate of A = (-5 , 2)
Coordinate of B = (5 , 5)
Find:
Distance between A and B
Computation:
Using distance formula
Distance between two point = √(x1 - x2)² - (y1 - y2)²
Distance between A and B = √(-5 - 5)² - (2 - 5)²
Distance between A and B = √(-10)² - (-3)²
Distance between A and B = √100 + 9
Distance between A and B = √109
Distance between A and B = 10.4403
Distance between A and B = 10.4 unit (Approx.)
Answer:
10.4
Step-by-step explanation:
took the k12 test (:
Determine the simple interest rate for each given principal, time, and simple interest earned.
Principal: $1200
Time: 15 years
Simple Interest: 5720
Answer:
31.8%
Step-by-step explanation:
The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.
I = PRT
5720 = (1200)(R)(15)
5720 = 18,000R
R = 0.3177777, rounded to 31.8%
Answer:
32%
Step-by-step explanation:
5720/15=381.33 interest per year
principal x interest rate = interest per year
1200 x interest rate =381.33
interest rate = 381.33/1200
interest rate = 32%
3 customers entered a store over the course of 6 mintues. At what rate were the customers entering the store in customers per minute
3 customer = 6 minutes
/6
1/2 customer = 1 minute
The rate were the customers entering the store in customers per minute is 1/2 customer per minute.
Please help me!! I don’t understand!!!
Answer:
Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
HELP PLEASE !!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply .
∛≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅≅[tex]\geq \neq \neq \neq \neq \neq[/tex]
Sorry, I won't understand
Please help?
(I learned this way back so I kinda forgot)
Answer:Question
Please help?
(I learned this way back so I kind forgot)
1 Which model represents 2(-3)
figure c represents 2(-3)
Answer:
1 Which model represents 2(-3)
figure c represents 2(-3)
Step-by-step explanation:
Please help!
If the measure of O equals 69°, then what is the measure of N?
A.
81°
B.
21°
C.
111°
D.
69°
Answer:
D. 69°
Step-by-step explanation:
Opposite angles are congruent.
Answer:
N is also 69 so the an is D) 69
Step-by-step explanation:
Completing the table
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
Someone pls help me I’m stuck
Answer:
center= (0, -9)
r=1
Step-by-step explanation:
formula for circle= (x-h)^2+(y-k)^2= r^2
(h, k)= center
r= radius
We know that h is 0 since (x-h)^2 is x^2.
We know k= -9 from (y+9)^2
since r^2=1
r=1
Which of the following equations is of a parabola with a vertex at (3.0)?
Answer:
D) y= x^2 +3
Step-by-step explanation:
Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
Question in the image will give brainlyy
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
How many caramel apples are covered with sprinkles?
5
Step-by-step explanation:
add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5
1/30 of 150=5
The caramel apples that are covered with sprinkles are 5.
What is arithmetic operation?Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Now it is given that,
Olivia has 150 caramel apples.
Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
Let 'n' be the number of caramel apples are covered with sprinkles.
Thus,we can write
(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150
100 + 30 + 15 + n = 150
145 + n = 150
⇒ n = 150 - 145
⇒ n = 5
Thus, the caramel apples that are covered with sprinkles are 5.
To learn more about arithmetic operation :
https://brainly.com/question/13585407
#SPJ2
The complete question is,
Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.
• 2/3 of the caramel apples are covered with peanuts.
• 1/5 are covered with chocolate chips.
• 1/10 are covered with coconuts.
The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
Help pleaseeeeeeeeeeee
Answer;
Mark traveled at the highest velocity to Charleston
A train ticket in a certain city is$1.50. People who use the train also have the option of purchasing a frequent rider pass for $15.75each month. With the pass, each ticket costs only $0.75. Determine the number of times in a month the train must be used so that the total monthly cost without the pass is the same as the total monthly cost with the pass.
Answer:
15.75-1.50=14.15
14.15-0.75=13.50
Anyone know this answer Help ASAP
Answer:
The right answer is A (x=2,y=-1)
Please help. I’ll give brainlest!! No links
Answer:
352
Explanation
Answer:
352 square inches
Equation to find the surface area:
A=2(wl+hl+hw)
Steps:
2·(4·12+8·12+8·4)=352
If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!
please help. I need this one and my last question and im done
Answer:
The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].
Step-by-step explanation:
First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]
This gives us 4 as our value of x.
Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.
Thus, x=4 and area=60.
Good day from NightyKnight.
Help
This is trigonometry
take it seriously, karma exists
I can help you too
I just wanna know if the result is 10.0 rounded to the nearest tenth
I used Sin
Please correct me
Answer:
Yes, your solution is correctStep-by-step explanation:
sine = opposite leg / hypotenusesin 51° = √61 / WYWY = √61 / sin 51°WY = 10.0499134825 ≈ 10.0What is the sum?
46 mins left please help!!!!!
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
7. What is the area of a triangle whose base is 14 cm and a height of 12 cm?
Answer:
84 cm²
Step-by-step explanation:
1/2x14x12=84
plsss heelp meeee i have been stuck on this for days
Answer: Step-by-step explanation:
-z<-7
z>7
7.1
8
12
50 qt = ___gal ____qt
answers:
a. 3gal 2qt
b. 12gal 2qt
c. 12gal
d. 5gal
Answer:
12 gallons 2 quarts
Step-by-step explanation:
The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?
Answer:
The slope should be 34.00.
Step-by-step explanation:
GEOMETRY!! I will give brainliest
Answer
The triangle is scalene triangle
Answer:
Scalene triangle
Step-by-step explanation:
please help me this is confusing please add an explanation to it
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.
You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Suppose your car's gas efficiency is 23.0 mi/gal. How many liters of gas will you need to complete a 495 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
L
Answer:
the no of liters required is 50.55 liters
Step-by-step explanation:
Given that
The car gas efficiency is 23.0 mi/gal
distance is 495 km
1 gal = 3.78 L
1 km = 0.6214 mi
We need to find out the no of liters of gas that would needed to complete a trip
So,
= (495 × 3.78 × 0.6214) ÷ (23)
= 50.55 Liters
hence, the no of liters required is 50.55 liters