Answer:
(a) 0.90
(b) 0.99
(c) 0.999
(d) Yes
Step-by-step explanation:
A particular detection system has a 0.90 probability of detecting a missile attack.
Let X = number of detection system that detects a missile attack.
The random variable X follows a Binomial distribution with probability of success as, p = 0.90.
(a)
Compute the probability that a single detection system will detect an attack as follows:
[tex]P(X=1)={1\choose 1}(0.90)^{1}(1-0.90)^{1-1}\\=1\times 0.90\times 1\\=0.90[/tex]
(b)
Compute the probability that at least one of the two systems will detect the attack as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-{2\choose 0}(0.90)^{0}(1-0.90)^{2-0}\\=1-0.01\\=0.99[/tex]
(c)
Compute the probability that at least one of the three systems will detect the attack as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-{3\choose 0}(0.90)^{0}(1-0.90)^{3-0}\\=1-0.001\\=0.999[/tex]
(d)
On using only one system the probability that a single detection system will detect an attack is 0.90.
On using two systems the probability that at least one of the two systems detecting the attack is 0.99.
And on using three systems the probability that at least one of the three systems detecting the attack is 0.999.
So as the number of system is increasing the probability of detecting the attack is getting closer to 1.
Thus, it would be wise to recommend that multiple detection systems be used.
For each value of w, determine whether it is a solution to 6w +9=33.
Is it a solution?
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
3 (no)
9 (no)
-7 (no)
-1 (no)
The solution to the equation 6w + 9 = 33 is 4.
The values of 2 = 3, 9, -7, and -1 are not solutions to 6w + 9 = 33.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
6w + 9 = 33
6w = 24
w = 4
For w = 3
6 x 3 + 9 = 33
18 + 9 = 33
27 = 33
This is not true so it is not a solution.
For w = 9
6 x 9 + 9 = 33
54 + 9 = 33
63 = 33
This is not true so it is not a solution.
For = - 7
6 x (-7) + 9 = 33
-42 + 9 = 33
-33 = 33
This is not true so it is not a solution.
For w = -1
6 + (-1) + 9 = 33
-6 + 9 = 33
3 = 33
This is not true so it is not a solution.
Thus,
None of the values of w are solutions to 6w + 9 = 33.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ2
your mom gets cancer. She has 69 cancers and 420 oranges. I ate a cancer, how many oranges does your dad have?
Answer:
thanos
Step-by-step explanation:
bc ya
What does X equal for this question?
Answer
2x
Step-by-step explanation:
What is the slope of the line that passes through (3, −7) and (−1, 1)?
Undefined
0
−2
2
Answer:
The answer is - 2Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3, −7) and (−1, 1)
The slope is
[tex]m = \frac{1 - - 7}{ - 1 - 3} = \frac{1 + 7}{ - 4} = - \frac{8}{4} = - 2 \\ [/tex]
We have the final answer as
- 2Hope this helps you
Answer:
slope = difference_in_y/difference_in_x
= (-1 - -7)/(3 - 1)
= 6/2
= 3
Step-by-step explanation:
Complete the work to solve for y: 2 5 ( 1 2 y + 5 ) − 4 5 = 1 2 y − 1 + 1 10 y
Answer:
11/2
Step-by-step explanation:
Just took the assignment on edge 2020
The equation y = 7x represents a proportional relationship. What is the constant of proportionality?
A. 0
B. x
C. 7
D. 1/7
Answer: c. 7
Step-by-step explanation: it’s 7. I got that answer
Answer:
it is 7
Step-by-step explanation:
i got it right on quiz
What is the product 7 x 106? Enter your answer in the box.
Answer:
742
Step-by-step explanation:
Answer:
742
Step-by-step explanation:
just put 7x106 in a calculator
HELP PLEASE
Choose a number from 1-50 at random. What is the probability that it is either divisible by 5 or divisible by 7?
the answer is 8/25
to get this answer i thought of all of the numbers divisible by 5 or 7 to 50 and i got 16 numbers (5,7,10,14,15,20,21,25,28,30,35,40,42,45,49,50)
i got the fraction of 16/50 then i simplified it to get 8/25 hope this helps
Pls help me with 4 , 5 , and 6 and show me how you did it i will mark brainlist !!
Answer:
2 on top and bottom of 4 5 is 3 on top and bottom and lastly 6 is 8 on top and bottom.
Step-by-step explanation:
all you have to do is divide the two bottom numbers on each problem and the answer to the problem will be the same on top and bottom
Roberto Alberto rode his bike three-fourths of a mile 3 days in a row. He thinks he rode somewhere
between 2 and 3 miles.
A) Use the number line to show if Roberto Alberto is right or wrong.
find the value of x.
Answer:
x=8
Step-by-step explanation:
Set 40 + y = 90
y=50
y = 6x + 2
6x + 2 = 50
6x = 48
48/6 = x
x=8
Answer:
8
Step-by-step explanation:
(6x + 2) + 40 = 90 because the entire angle is a right angle, therefore the whole angle is 90
subtract 40 from each side: 6x + 2 = 50
now subtract 2 from each side: 6x = 48
now divide 6 from each side: x = 8
The perimeter of a rectangular garden is 346 feet. If the length of the garden is 96 feet, what is it’s width?
Answer:
3 29/48
Step-by-step explanation:
this should be the width
Find the digit that makes 3,80_divisible by 8.
A. 2.
B. 0. C. 4. D. 6.
Answer:
B,0
Step-by-step explanation:
3,802 divided by 8= 475.25
3,804 divided by 8= 475.5
3,806 divided by 8= 475.75
And 3800 divided by 0=475
I hope this helps ;p
can someone help me with this?
Answer:
option c
Step-by-step explanation:
just i cant explain but i know it
Answer:
option 2
Step-by-step explanation:
jaelyn drew a figure whose area was 12 square units
Answer:
3
Step-by-step explanation:
If the masses of the two objects stay the same, what must be done to reduce to gravitational force between them?
a. You must change the Gravitational constant
b. You must increase their distance from each other. (THIS ANSWER IS CORRECT)
c. You must change the material the objects are made of
d. You must give the objects an electric charge
Answer: b
Step-by-step explanation:
(So the answer doesn’t removed)
Scott said that 0.09 was a bigger number than 0.1.
Use powers of 10 to show
that he is wrong.
he is wrong because 0.1 is also 0.10 greater than 0.09
(a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.
(b) Which numbers on the list are within 0.5 SDs of average? within 1.5 SDs of average? 2.
(a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary. (i) 50, 40, 60, 30, 70, 25, 75 (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
(b) Repeat, for the following two lists. (i) 50, 40, 60, 30, 70, 25, 75 (ii) 50, 40, 60, 30, 70, 25, 75, 99, 1
Answer:
1a) Mean = 40
Standard Deviation = 5
b)i Which numbers on the list are within 0.5 SDs of average?
48, 50, 50
ii) within 1.5 SDs of average?
48, 50, 50, 54, 57
2a)Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.
The list with the smaller S.D = (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.
b) Repeat, for the following two lists.
The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75
This because the results obtained from the second list (i) is close to the mean , therefore, the Standard deviation is small.
Step-by-step explanation:
1a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.
Average (Mean) = Sum of terms/Number of terms
= 41+ 48 + 50 + 50+ 54 + 57/6
= 300/6
= 50
Standard Deviation for the population= √(x - Mean)²/n
=√ (41 - 50)²+ (48- 50)² + (50- 50)² +(50- 50)² + (54 - 50)² +(57- 50)²/6
= √81 + 4 + 0 + 0 + 16 + 49/6
= √150/6
= √25
= 5
(b) Which numbers on the list are within 0.5 SDs of average?
Mean ± Standard deviation × 0.5
50 ± 5 × 0.5
50 - 2.5
= 47.5
50 + 2.5
= 52.5
The numbers on the list are within 0.5 SDs of average are number within 47.5 and 52.5 : 48, 50, 50
ii) Within 1.5 SDs of average?
Mean ± Standard deviation × 1.5
50 ± 5 × 1.5
50 - 7.5
= 42.5
50 + 7.5
= 57.5
The numbers on the list are within 1.5 SDs of average are numbers within 42.5 and 57.5: 48, 50, 50, 54, 57
2 (a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.
(i) 50, 40, 60, 30, 70, 25, 75
Mean is already give as 50
Standard Deviation = √(x - mean)²/n
= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n
= √0 + 100 + 100 + 400+ 400 + 625 + 625/7
= √2250/7
= √321.4285714
= 17.92842914
(ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
Standard deviation = √(x - mean)²/n
√(50 -50)²+(40-50)² + (60 -50)²+ (30-50)² + (70 - 50)²+ (25-50)² +(75-50)² + (50 -50)² + (50 - 50)²+(50 - 50)²/10
= √0 + 100 + 100 + 400 + 400 + 625 + 625 + 0 + 0 + 0/10
√2250/10
√225
= √15
The list with the smaller S.D = Second list (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50
This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.
(b) Repeat, for the following two lists.
(i) 50, 40, 60, 30, 70, 25, 75
Mean is already give as 50
Standard Deviation = √(x - mean)²/n
= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n
= √0 + 100 + 100 + 400+ 400 + 625 + 625/7
= √2250/7
= √321.4285714
= 17.92842914
(ii) 50, 40, 60, 30, 70, 25, 75, 99, 1
Standard Deviation = √(x - mean)²/n
= √(50-50)² +( 40 -50)² +( 60 - 50)² + (30 - 50)²+( 70 - 50)² + (25 - 50)² + (75 - 50)² +(99 - 50)² +(1 -50)²/9
= √0 + 100 + 100 + 400 + 400+ 625 + 625 + 2401 +2401/9
= √7052/9
= √783.5555556
= 27.99206237
The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75
This because the results obtained from the first list(i) is close to the mean , therefore, the Standard deviation is small.
Measures of location - Mean, median, and mode
Consider the following set of sample data.
20 25 25 36 42 56 6974 98 100
For the given data, the mean is______ , the median is_______ , and the mode is_______ Suppose the value 98 in the data is mistakenly recorded as 78 instead of 98. For the sample with this error, the mean______ is the median is________ , and the mode is_______ . The mean the median________ , and the mode_______ Suppose the value 98 in the original sample is inadvertently removed from the sample. For the sample with this value removed, the mean is ______, the median is_______ , and the mode is_________ .
Step-by-step explanation:
1.
20+25+25+36+42+56+69+74+98+100 = 545
n = 10
Mean = 545/10
= 54.5
Median = 42+56/2 = 98/2 = 49
Mode = 25 since it occurred twice
2.
If 98 is recorded as 78
20+25+25+36+42+56+69+74+78+100
= 525
Mean = 525/10 = 52.5
Median = 42+56/2 = 98/2 = 49
Mode = 25
3.
If 98 is removed
20+25+25+36+42+56+69+74+ 100= 447
n = 9
Mean = 447/9 = 49.6
Median = 42
Mode = 25
look at the multipication in the box.
use the same integers to write down two divisions
Answer:
-30 ÷ 6= -5
-6 × 5 = -30
-30 ÷ -5 = 6
Step-by-step explanation:
Write all the integers between - 20 and -15.
Answer:
hey mate here is ur answer
Step-by-step explanation:
-21, -20, -19, -18, -17, -16 ,-15 -14
These are the numbers between -15 and -20....
Hope it helps you,
mark me as the brainliest,
follow me....
The figure below shows a rectangular parking lot.
83 yd
62 yd
Answer:
Area= 5,146 yds Perimeter= 290 yds
Step-by-step explanation:
If you are finding the area it's 5,146 yards. And if you are finding the perimeter, it's 290. Hope this helped
If h(x)= x^7-x^3+1 and h(a)=k then h(-a)=
Answer:
5Step-by-step explanation:
What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?
Answer: it might be D
Step-by-step explanation: I think so on edge -4 must be factored from -4x^2-7
Answer:
It Is actually B just took the test
Step-by-step explanation:
Please help this is a test grade I have 3 mins left
Greetings! Hope this helps!
Answer
Initial volume = 65
Final volume = 69
Object volume = 4
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
initial= 65
final = 69
object volume = 4
Step-by-step explanation:
at first the water its up to 65 then when the object is placed inside the water goes up 4 so the obeject volume is 4
Help! This is confusing and I don’t know how to do it. Thanks.
Answer:
reflection
Step-by-step explanation:
because the image of the car converted upside down in a vertical manner.
Which deduction is optional?
A. FICA
B. Social Security
Ο Ο
C. Disability insurance
D. Medicare
SUBMIT
IN
PREVIOUS
Answer:
disability insurance
Step-by-step explanation:
find the missing value
Answer:
-10
Step-by-step explanation:
since the answer is positive, we need a negative number, if we use -10,two negatives makes a positive, so it becomes
-8 +10=2
I NEED HELP PLEASE!!
Answer:
ACE
Step-by-step explanation:
The average distance of Mercury from the Sun is 36 million miles. The distance varies by 7.5 million miles.
Use this information to complete this statement.
The minimum distance of Mercury from the Sun is ___ million miles, and the maximum distance is ___ million miles.
Answer:
The minimum distance of Mercury from the Sun is
28.5
million miles, and the maximum distance is
43.5
million miles.
Step-by-step explanation:
its the right answer
you add or subtract 7.5 from 36 to get the minimum and maximum because thats the distance from 36 that it varies
Answer:
#1. 28.5
#2. 43.5
