Answer:
0.96 = 96% probability that at least one of them detect an enemy attack.
Step-by-step explanation:
For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution 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.
Assume that a particular detection system has a 0.80 probability of detecting a missile attack.
This means that [tex]p = 0.8[/tex]
If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is
This is [tex]P(X \geq 1)[/tex] when [tex]n = 2[/tex]. So
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96[/tex]
0.96 = 96% probability that at least one of them detect an enemy attack.
help please ? I don’t understand I’m in 6th grade
Answer:
22/7 - irrational number
1.141141114 - irrational number
17/4 - rational number
-6 - integer
[tex]\frac{\pi }{2}[/tex] - irrational number
0 - whole number
9 - natural number and whole number
21/3 - natural number and whole number
Step-by-step explanation:
natural numbers would be numbers 1,2,3,4,5,6,7...
whole numbers would be numbers 0,1,2,3,4,5,6...
integers are negative whole numbers
rational numbers are fractions and numbers that have decimal points
irrational numbers are number such as [tex]\pi[/tex] or [tex]\sqrt{5}[/tex]
Can Yall help with the question
Answer:
A. Transform Boundary
Step-by-step explanation:
Transform boundaries are places where plates slide sideways past each other
Divergent Boundaries occur when two tectonic plates move away from each other
Convergent Boundaries are when both the plates collide into each other
Subduction boundaries are when one plate bends and slides underneath the other curving down into the mantle
Hope this helps dude
Answer: no learn it urseld caca haha
Step-by-step explanation:
Parker needs to order some new supplies for the restaurant where he works. The restaurant needs at least 367 glasses. There are currently 151 glasses. If each set on sale contains 8 glasses, use the drop-down menu below to write an inequality representing ss, the number of sets of glasses Parker should buy.
Answer:
151+8x>_367
Step-by-step explanation:
x=sets of glasses.
151+8x>_367
^is greater than equal to i dont
have a sign for that.
A commission agent got a plot sold for Rs. 35000 and got 2% commission from both the parties. What did the agent get?
Answer:
Commission amount
0.70
$
Owner receives
34.30
$
Please help me with this
Find the value of x and the value of y
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use Cos for y .... b/c we see that function above has all the pieces we are going to work with
use Sin for x .. for the same reason above
Cos(30) = y / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Cos(30) = y
4[tex]\sqrt{2}[/tex][tex]\sqrt{3}[/tex]/2 = y
2[tex]\sqrt{6}[/tex] = y
leave the answer for y like that.. it's in 'exact" form
now for x
Sin(30) = x / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Sin(30) = x
4[tex]\sqrt{2}[/tex]* 1/2 = x
2[tex]\sqrt{2}[/tex] = x
and leave your answer for x like that as it's in it's exact form. :)
oh and I see the answer in the list.. do you? :)
Two sides of a right triangle are 8 and 12. Find the missing side of 8 and 12 are a leg and a hypotenuse.
Answer:
8.94 if no rounding is necessary.
Step-by-step explanation:
Pythagorean Theorem. What we know is only one leg and the hypotenuse, sooo...
8² + b² = 12²
64 + b² = 144
Subtract 64 from both sides...
64 - 64 + b² = 144 - 64
b² = 80
[tex]\sqrt{80}[/tex] = 8.94 if you're not rounding.
A new company gains 115 customers each year. Each year they also lose 16 customers. Write a linear function that represents the number of customers the company has acquired over time
Answer:
Step-by-step explanation://////////////
Choose the fraction that goes in the blank. 5/12 >_______> 3/4
5/6
1/4
2/3
7/8
The fraction that goes in the blank is 5/12 > 4/3 > 3/4
To compare fractions, we can either find a common denominator or convert them to decimals. Let's find a common denominator for 5/12 and 3/4. The smallest number that both 12 and 4 can divide evenly into is 12.
To convert 5/12 to a fraction with a denominator of 12, we multiply the numerator and denominator by 1, which is the same as 12/12. This gives us 5/12 = 5 * 1 / 12 * 1 = 5/12.
Now let's convert 3/4 to a fraction with a denominator of 12. To do this, we multiply the numerator and denominator by 3, which is the same as 3/3. This gives us 3/4 = 3 * 3 / 4 * 3 = 9/12.
Comparing 5/12 and 9/12, we can see that 9/12 is larger than 5/12.
Now, let's compare 9/12 and the fractions given as options: 3/4, 5/6, 1/4, 2/3, and 7/8.
From these fractions, 4/3 is the only one that is larger than 9/12. Therefore, the fraction that goes in the blank is 4/3.
Remember, when comparing fractions, finding a common denominator or converting them to decimals can help determine their relative sizes.
For more similar questions on fraction
brainly.com/question/10354322
#SPJ8
Need help please ! Very confused
Answer:
it what u need
Step-by-step explanation:
ok
Sandra is traveling 15 mph on her bicycle. After 3 hours, how far will she have traveled?
A.
16 miles
ОВ.
4 miles
C.
46 miles
D.
45 miles
Answer: D. 45
Step-by-step explanation:
15 mph
3 hours
15 x 3 = 45 miles
Helllllllpppppp pls help me
Answer:
there you go!! it's correct dont worry
Is 2/3 and 6/10 equivalent or non-equivalent
Answer:
not
Step-by-step explanation:
Answer:
non-equivalent
Step-by-step explanation:
the equivalend fraction of [tex]\frac{2}{3}[/tex] is [tex]\frac{6}{9}[/tex] not [tex]\frac{6}{10}[/tex]
KLM and MLN are complementary LM bisects KLN find the measures of KLM and MLN (see image)
Since KLM and MLN are complementary they add up to 90 degrees.
LM bisects KLN so it divides it to two equal parts so 90/2= 45 degrees
So, KLM and MLN are both 45 degrees.
Reasoning : Why is the numerator greater than
the denominator in a fraction that is equivalent
to a percent greater than 100?
Answer:
See the explanation
Step-by-step explanation:
When the numerator is less than the denominator, the result is always less than 1, that is 0. something and this will give a percentage less than 100, but when the numerator is greater than the denominator, th result is greater than 1, and any figure greater than 1 gives a percentage that is greater than 100
example
Numerator >Denominator
=4/2*100
=2*100
=200%
Numerator <Denominator
=2/4*100
=0/5*100
=50%
I need help what is 1+1 I've been on this for TWO hours...
Answer:
the answer is 2
Step-by-step explanation:
sorry if this is wrong
Find the missing angle
Answer:
29 degrees I believe
Step-by-step explanation:
If each triangle is worth 180 degrees, then the answer is 29 degrees.
Sophie can type 128 words in three minutes how many minutes will it take her to type 576 words?
Answer:
13 minutes and 30 seconds
Step-by-step explanation:
Okay so first you would divide 128 by 576. But since it takes her 3 minutes just to type 128 words you have to multiply 4.5 times 3. It will take her 13.5 minutes to type 576 words or 13 minutes and 30 seconds.
22. A husband and a wife apprear in an interview for two vacancies for the same post.The probability of husband's selection is 3÷5 and that of wife's selection is 1÷5. Find the probability that:
(i) both are selected
2) exactly one is selected
3) none is selected
Answer:
[tex]P(Both) = \frac{3}{25}[/tex]
[tex]P(One) = \frac{12}{25}[/tex]
[tex]P(None) = \frac{22}{25}[/tex]
Step-by-step explanation:
Given
[tex]P(H) = \frac{3}{5}[/tex]
[tex]P(W) = \frac{1}{5}[/tex]
Solving (a): Both selected
[tex]P(Both) = P(H) * P(W)[/tex]
[tex]P(Both) = \frac{3}{5} * \frac{1}{5}[/tex]
[tex]P(Both) = \frac{3}{25}[/tex]
Solving (b): One selected.
This event can be represented as: HW' or H'W
So:
[tex]P(One) = P(H) * P(W') + P(H') * P(W)[/tex]
Where:
P(W') = 1 - P(W) and P(H') = 1 - P(H).
So:
[tex]P(One) = \frac{3}{5} * \frac{4}{5} + \frac{2}{5} * \frac{1}{5}[/tex]
[tex]P(One) = \frac{12}{25} + \frac{2}{25}[/tex]
[tex]P(One) = \frac{12}{25}[/tex]
Solving (c): None selected.
This is the complement of (a) above.
i.e.
[tex]P(None) = 1 - P(Both)[/tex]
[tex]P(None) = 1 - \frac{3}{25}[/tex]
[tex]P(None) = \frac{25 - 3}{25}[/tex]
[tex]P(None) = \frac{22}{25}[/tex]
What is the area?
30
32 in
Step-by-step explanation:
Here's your solution
=> Base = 32 In
=> Height = 30 in
=> Area of traingle = 1/2*base *height
=> putting the value of base and height in formula
=> Area = 1/2*30*32
=> Area = 480 in sq
hope it helps
Need help to solve this
Answer:
332s+(27xm)
Step-by-step explanation:
because 27 is how much you save per month and you started off with 332
MUST HELP!!!! (25 POINTS) +BRAINLEST +5 STARS +THANKS ON PROLFILE!!!!
Lines AA’, BB’, CC’ intersect at the _________
*use one of the words below to fill in the blank*
Equal, 2.4, point of dilation, Scale factor, perimeters, (7.2,4.8), Enlargement areas, (4.8, 9.6)
Answer:
Enlargement Areas
Step-by-step explanation:
if you enlarge the little one, they will intersect each other perfectly because those triangles are similar and the same. they are just different sizes
hope this helps!
What is the solution to this addition sentence?
3/4 + (-1/2) = _____
Answer:
1/4
Step-by-step explanation:
-1/2 in to -2/4
3/4+(-2/4)=1/4
2) Solve the equation 6d = 42. Choose the correct answer.
d=7
d=9
d = 12
Answer:
d=7
Step-by-step explanation:
divide both sides by 6
6d=42
d=42/6
d=7
What is the surface area of this triangular pyramid?
___square inches
Answer:
Surface area = 10.7 in.²
Step-by-step explanation:
Surface Area of triangular pyramid = BA + P*L
Base Area (BA) = ½*nh
b = 2 in.
h = 1.7 in.
BA = ½*2*1.7 = 1.7 in.²
Perimeter (P) = 2 + 2 + 2 = 6 in.
Slant height (L) = 3 in.
Plug in the values
Surface Area = 1.7 + ½*6*3
Surface area = 10.7 in.²
Solve the expression
Answer:
r=80
Step-by-step explanation:
80+r=160 subtract 80 on both sides
r=80
3. Penguins can swim at speeds of up to 29 feet per second. Use dimensional analysis to
convert this speed to miles per hour. 1 mile = 5280 feet. (4 pts, 1 for feet into miles, 1
seconds into hours, 1 simplified answer, 1 for units in answer.)
Answer:
Penguins can swim at a speed of 19.77 miles per hour.
Step-by-step explanation:
Since penguins can swim at speeds of up to 29 feet per second, to convert this speed to miles per hour, knowing that 1 mile is equal to 5280 feet, the following calculation must be performed:
1 hour = 60 minutes
1 minute = 60 seconds
1 hour = 60x60 seconds = 3,600 seconds
29 x 3,600 = feet per hour = 104,400
104,400 / 5,280 = miles per hour = 19.77
Thus, penguins can swim at a speed of 19.77 miles per hour.
Helpppppppppppppppppppppppppppppppp!!!!!!!!!!!!!
Answer:
I need the questions, for this graph, or at least the numbers
Step-by-step explanation:
If a number has a base of 3 and a power of 4, what is it's value?
Answer:
3*3*3*3= 81
Step-by-step explanation:
I think its that but I'm not 100% sure
20. Find the equation of the straight line bisercting the line joining the points (3,4) and(5,6) if it
slope is 2
Answer:
pretty sure the answer is x - y - 1 = 0