Answer:
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Step-by-step explanation:
For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. 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}.\pi^{x}.(1-\pi)^{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.
Probability of detecting a target:
p0 of 1-p (without interference)
p1 of p(with interference). So
[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]
Find the probability that the target will be detected at least once in n surveillance cycles.
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?
Answer:
525 $
Step-by-step explanation:
Amount borrowed = $2500
Rate = 7%
Time = 3 years
therefor interest = $2500 X 7/100 X 3
Hope it help You
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
40 cm
42 cm
What is the length of the hypotenuse?
Answer:
by Pythagoras theorm
H² = B² + P²
H². = 40² + 42²
= 1600 + 1764
= 3364
= 58²
H = 58
hope it helps
equations with variables on both sides that make the answer x=8
Answer:
x/4 = x-6
Step-by-step explanation:
x/4 = x-6 makes x = 8
Hope this helps!!!
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
Find x, the angle of depression from the top of a lighthouse that is 153 ft above the water level to the waterline of a ship 1071 ft off shore. Round your answer to the nearest tenth of a degree.
Answer:
x = 8.1°
Step-by-step explanation:
Reference angle = x
Opposite side = 153 ft
Adjacent side = 1071 ft
Applying trigonometric ratio (TOA), we have:
[tex] tan(x) = \frac{opp}{adj} [/tex]
[tex] tan(x) = \frac{153}{1071} [/tex]
[tex] x = tan^{-1}(\frac{153}{1071}) [/tex]
[tex] x = 8.1 degrees [/tex] (nearest tenth)
Given the sequence −2,−8/3,−103,−4,−14/3,... find the recursive formula.
A. a1=−2 and an+1=an+5/3
B. a1=−2 and an+1=an+1/3
C. a1=−2 and an+1=an−2/3
D. a1=−2 and an+1=an−5/3
I suppose the third term should say -10/3, not -103.
Notice that
-2 = -6/3
-4 = -12/3
so that, starting with the first term a(1) = -6/3, the every following term is obtained by subtracting 2/3.
-2 - 2/3 = -6/3 - 2/3 = -8/3
-8/3 - 2/3 = -10/3
-10/3 - 2/3 = -12/3 = -4
and so on.
So the recursive rule is
a(1) = -2,
a(n + 1) = a(n) - 2/3, for n ≥ 1
or C.
40% of x is 35.
Write an equation that shows the relationship of 40%, x, and 35.
Use your equation to find x. Show your reasoning.
i really need help
What is the acronym used to help remind you of the order
used to simplify expressions?
Answer:
I think it's PEMDAS, but I'm not sure- sorry if it's wrong.
Step-by-step explanation:
help!!! it shows the instructions in the picture
Answer:
100:10
36:6
-64:not a real number ig
49:7
81:9
Step-by-step explanation:
how this helps byee
Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8 - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions
One solution
Two solutions
Infinity many solutions
Answer:
no solutions
Step-by-step explanation:
what is ask in the problem
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y = -16x + 16
Step-by-step explanation:
You can write a linear equation by getting the slope (m) and y-intercept (b).
To get the slope, you have to (y2 - y1) / (x2 - x1).
Which in this case, I'm going to used points (0,16) and (1,0).
So,
(0 - 16) / (1 - 0) = -16 / 1 = -16
m = -16
Now since we have the slope, the equation would look like y = -16x + b
You then have to input any x and y points (I'm going to use 1,0).
0 = -16(1) + b
0 = -16 + b
b = 16
Put this all together,
y = -16x + 16
Hope this helps :)
Let me know if there is any mistakes!!
Answer:
y = -16x + 16
Step-by-step explanation:
Which of the following is most likely the next step in the series ?
hey there .. here is ur answer ..
Option D is the right answer as you can see ..
If it helps u .. plz mark me as brainliest ..
follow me
12 more than the square of a number is the same as 7 times the number.
Answer: Sorry I don't know
Step-by-step explanation:
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
I think that A would be the correct answer.
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
When solving quadratic equation, what do the X value stand for as it relates to plotting the graph of the equation?
Step-by-step explanation:
step 1. The x values refer to the domain of the function.
step 2. if you set y = 0 and solve the quadratic equation the x values refer to the point the graph crosses the x axis.
EASY MATH QUESTION Urgent pls
Answer:
I don't know that is hard
Step-by-step explanation:
You said this was an easy math question.
Answer:
I think it's b
Step-by-step explanation:
ah=b1+b2/2
h=ax(b1+b2)/2
first time taking a picture but some one help me, this is the last question and I want to die.
Answer:
Step-by-step explanation:
need help with this tricky question. thanks
Answer:
E
Step-by-step explanation:
I need help asap
I will need help finding a and b
Answer:
(a) [tex]s = 2.56[/tex]
(b) [tex]s = 1.71[/tex]
Step-by-step explanation:
Given
Tables (a) and (b)
Required
Determine the standard deviation
For (a):
[tex]\bar x = 11.5[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]
[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]
[tex]s = \sqrt{6.55}[/tex]
[tex]s = 2.56[/tex]
For (b):
[tex]\bar x = 4.4[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]
[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]
[tex]s = \sqrt{2.92}[/tex]
[tex]s = 1.71[/tex]
A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?
I. The seeds should be randomly assigned to a treatment.
II. The group sizes should be less than 10 percent of the population sizes.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
a. I only
b. II only
c. III only
d. I and III only
Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.
All changes saved
Shane invested $3,500 in a savings account that pays 4% interest semiannually (every 6 months). How much
money will he have in his account in 5 years?
Answer:
$4,266.48
Step-by-step explanation:
Hope this helps.
What is the lateral area of a right prism which has a lateral edge of 4 inches and has a regular pentagon on base with an edge of 12 inches ?
Answer:
240 inches squared
Step-by-step explanation:
[tex]A=5*4*12=240[/tex]
READ AND ANALYZE THE PROBLEM. ANSWER
EACH QUESTION
Below.
AT IMER'S GROCERY STORE. PRIDE POWDER
SOAP A
6 PIECES SACHET SELL PHP 28.50
How much tHE COST of EACH SACHET?
1. WHAT IS ASKED? _______
2. WHAT ARE GIVEN FACTS?_____
3.WHAT OPERATION TO BE USED?_____
4. WHAT IS THE NUMBER OF SENTENCE? _______
5. SOLVE, LOOK BACK AND LABEL Your
CORRECT ANSWER. . _____
Answer:
4.75 if you don't have to convert it to US dollars.
Step-by-step explanation:
1. The question is asking how much is the cost of each sachet.
2. One given fact is that 6 pieces of a sachet cost 28.50.
3. Division.
4. Can't tell if you're asking for the equation but 28.50 / 6 = 4.75. Or do 28.50 / 6 = c
5. 4.75.
If they're asking you to convert it into united states dollars:
1. It's asking how much is the cost of each sachet.
2. One given fact is that 6 pieces of a sachet cost 28.50.
3. Division.
4. Can't tell if you're asking for the equation but 28.50 / 49 = 0.58163265306 (0.59 if you round it) Or do 28.50 / 49 = c
5. 0.59.
Tbh I just used g00gle and converted philiphine pesos to USD (United States) dollars, if it's not right, then sorry-
Hope this helped!!
Which of the following equations would have the roots -3 and 2?
Answer:
Step-by-step explanation:
The second one.
HELPPPPP!!!!!!!!!!!!!!
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
Question Help
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11.3.IP-8
John is knitting a blanket. He records the length he knits each day. How many more inches does
John need to knit so the blanket is 54 inches?
I'm not sure. Don't be angry but this is my first time on this app but it helps a lot and i would also like to help but it seems that I'm the one who needs help.
What is value of the expression below?(worth 20 points pls pls help due in 10 minutes;-;)
Answer:
1/16
2x2x2x2=16
1x1x1x1=1
Answer:
choice 4, 1/16
Step-by-step explanation:
(1/2)^4=(1/2)(1/2)(1/2)(1/2)=1/16
