Answer:
1.236 × 10^(-3)
Step-by-step explanation:
Let A be the event that the person is a future terrorist
Let B the event that the person is identified as a terrorist
We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;
P(A) = 1000/400000000
P(A) = 0.0000025
P(A') = 1 - P(A)
P(A') = 1 - 0.0000025
P(A') = 0.9999975
We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99
Thus, P(B'|A) = 1 - P(B|A)
P(B'|A) = 1 - 0.99
P(B'|A) = 0.01
We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998
Hence: P(B|A') = 1 - P(B'|A')
P(B|A') = 1 - 0.998
P(B|A') = 0.002
We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)
We can find it from bayes theorem as follows;
P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]
Plugging in the relevant values;
P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]
P(A|B) = 0.00123597357 = 1.236 × 10^(-3)
A wholesale club sells eggs by the dozen. write an eqaution that relates the total cost of eggs (y) to the number of dozens of eggs (x)
Dozen Cost ($)
6 21
8 28
10 35
14 49
Answer:
[tex]y = 3.5x[/tex]
Step-by-step explanation:
Required
Determine the equation
First, pick corresponding x and y values
[tex](x_1,y_1) = (6,21)[/tex]
[tex](x_2,y_2) = (14,49)[/tex]
Next, calculate the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives:
[tex]m = \frac{49 - 21}{14 - 6}[/tex]
[tex]m = \frac{28}{8}[/tex]
[tex]m = 3.5[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 21 = 3.5(x - 6)[/tex]
[tex]y - 21 = 3.5x - 21[/tex]
Add 21 to both sides
[tex]y - 21+21 = 3.5x - 21+21[/tex]
[tex]y = 3.5x[/tex]
Please help this is for a grade I don’t know the answer will give brainlest
Answer:
The answer is d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3Rewrite
8
as
2
3
.
x
3
−
2
3
=
0
Since both terms are perfect cubes, factor using the difference of cubes formula,
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
where
a
=
x
and
b
=
2
.
(
x
−
2
)
(
x
2
+
x
⋅
2
+
2
2
)
=
0
Simplify.
Tap for more steps...
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
−
2
=
0
x
2
+
2
x
+
4
=
0
Set the first factor equal to
0
and solve.
Tap for more steps...
x
=
2
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
−
1
+
i
√
3
,
−
1
−
i
√
3
The final solution is all the values that make
(
x
−
2
)
(
x
2
+
2
x
+
4
)
=
0
true.
x
=
2
,
−
1
+
i
√
3
,
−
1
−
i
√
3
#1
If Four cups of flour makes seven dozen holiday cookies, how many cups of flour are needed to make 126
cookies?
Answer:
6 cups to make 126 cookies
Step-by-step explanation:
dozen = 12 cookies
7 x 12= 84
126 - 84 = 42
so you will have to make 42 cookies more and that will be 2 more cups of flour
it total is 6 cups to make 126
write a situation for 1/3 x 3/4 = 3/12
Answer:
1/3x3/4=3/12
3/4=3/12x3/1
=3/12x3/1x4/3
=3/4
Please help! Linear Equation word problems using the Ax + By = C form!
Answer:
1. T = 5x + 3y
2. 16 tomatoes.
Step-by-step explanation:
1. Determination of the linear expression.
Let x represent the number of pumpkin.
Let y represent the number of tomato.
Let T represent the total sales made from selling the pumpkins and tomatoes.
From the question,
1 pumpkin = $ 5
Hence,
x pumpkin = 5x
1 tomatoe = $ 3
Hence
y tomatoes = 3y
Therefore, the total sales (T) made from selling the pumpkin and tomatoes will be:
T = 5x + 3y
Where:
T is the total sales made from selling the pumpkin and tomatoes.
x is the number of pumpkin.
y is the number of tomatoe
2. Determination of the number of tomatoes sold.
Total cost (T) = $ 98
Number of pumpkin (x) = 10
Number of tomatoe (y) =?
T = 5x + 3y
98 = 5(10) + 3y
98 = 50 + 3y
Collect like terms
98 – 50 = 3y
48 = 3y
Divide both side by 3
y = 48/3
y = 16
Therefore, 16 tomatoes was sold.
There is 1 empty seat and 49 occupied seats on an airplane.What is the ratio of the number of empty seats to the number of occupied seats?
Step-by-step explanation:
This is a classic puzzle!
The answer is that the probability that the last person ends in up in his proper seat is exactly
1
2
The reasoning goes as follows:
First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:
1
2
.
Sorry, no clue about a physical system
Aisha spends 15 1/6 hours doing homework in September. She spends 18 3/4 hours doing homework in October.
How much longer does Aisha spend doing homework in October than in September?
2 1/3 h
2 7/12h
3 1/3h
3 7/12h
Answer:
its 3 7/12
Step-by-step explanation:
.......hope it helps...... need a thanks
To divide a number by 1,000, move the decimal point _____.
three places to the right
four places to the right
three places to the left
four places to the left
Answer:
three places to the right!
Step-by-step explanation:
Move the decimal point to the right as many places as there are zeros in the factor. Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).
Hope this helps!
Please anyone answer this one and get it right
Answer:
300
-100
Step-by-step explanation:
-50 + -250 = -300
-300 + x = 0
x = 300
-425 + 250 + 275 = 100
-100 + x = 0
x = -100
Answer:
6.) 300 7.) -100
Step-by-step explanation:
What is the value of x in the equation 25-0 25x=-3? 0 -22 0 -11 o 11 o 22
Answer:
x=11
Step-by-stepx+11 explanation:
this was an accident ignore this
Is (x-1) a factor of 2x3 - 15x2 + 22x + 15
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Consider the following equation: Log(yt )= 0.7 + 1.2log(st ) + 0.3log(st-1) + 0.2log(st-2) + 0.1log(st-3) What is the percentage increase in y given a permanent 1% increase in s? a. 1.2 b. 1.8 c. 2.5 d. 0.5
Answer:
a. 1.2
Step-by-step explanation:
From the given question, we will notice that the dependent variable, as well as the independent variable, are log-transformed in the model. Thus, a 1% increase in S will likely result in 1.2% increase in Y.
The external and the internal radius of a cylindrical pipe of length 50 cm are 3 cm and 2.6cm respectively. find the volume of material contained by the pipe
Answer:351.86 cc( approximately)
Step-by-step explanation:
The volume of the material = External volume - internal volume
= π3^2×50-π 2.6^2×50
=351.86
The volume of the material by the pipe is 351.86 cc.
What is the volume of a cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = πr²h
where 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
Given that the external and the internal radius of a cylindrical pipe are 3 cm and 2.6cm respectively
The length of the pipe is 50 cm
External volume = π(3)²×50 = 1413.71 cc
internal volume = π (2.6)²×50 = 1061.85
The volume of the material = External volume - Internal volume
The volume of the material = 1413.71 - 1061.85
The volume of the material = 351.86 cc
Learn more about the volume of cylinder here :
brainly.com/question/16134180
#SPJ2
3 1/2 miles in 1/2 hour
Answer:
? 7 miles an hour i guess
What’s the answers. Please and thanks
Answer:
a) 500
b) 9.6 years
Step-by-step explanation:
Population of Ilamas
a) P = 500 e ^0.035t
Find P when t = 0
Solving for P
P = 500 e ^0.035 × 0
P = 500 × e ⁰
P = 500 × 1
P = 500
The population of the Ilamas when t = 0 is 500
b ) Find t when P = 700
P = 500 e ^0.035t
700 = 500 e ^0.035t
Divide both sides by 500
700/500 = 500 e ^0.035t/500
7/5 = e ^0.035t
1.4 = e ^0.035t
Take In of both sides
In 1.4 = In (e ^0.035t)
In 1.4 = 0.035t
t = In 1.4/0.035
t = 0.3364722366/0.035
t = 9.6134924749 years
t = Approximately to the nearest tenth of a year = 9.6 years
PLS PLS HELP! ASAP! Will mark brainliest!
Choose the correct simplification of the expression (d3)5.
1. d8
2. d15
3. d243
4. d
The Answer is A^15, a.k.a. A to the 15th power.
Step-by-step explanation:
First, apply the exponent rule. (a^b)^c = a^bc
You would get a^3*5 (* means times) (^ means to the power)
Second refine.
You would get d^15.
The answer is d^15.
vary hard 12th grade work
The Davidson family belongs to a food co-op with 8 other families.44 pounds of potatoes were purchased, and each family will receive 1 8 eight of potatoes. The Davidson family will receive Of the potatoes.
Answer:
see below
Step-by-step explanation:
Portion:
1/8 = 0.125
Each of the family will get:
44 pounds * 0.125 = 5.5 pounds of potatoes
**Five and a half pounds of potatoes.
Which statement about 3 multiplied by 2/3 must be true?
What are prime numbers? I have an exam and I need to know it.
Answer:
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are call composite numbers.
Step-by-step explanation:
Answer:
2 3 5 7 11 13 17 19 23 29
Step-by2-step explanation:
Only being divided integrately by 1 and itself.
Please help ! And , give the right answer please .
Answer:
none of them are constant of proportinality.
Step-by-step explanation:
because if you divided each one. you do not get the same answer. if you did it would have to be either of the others, but in this case there is no constant of proportinality in that chart
Answer: D( not proportional)
Step-by-step explanation:
3*4= 12
6*4= 24
9*4=36
12*4=48
The two lasts x and y values are not proportionate because they don’t follow the same order of times 4
Determine which of the four postulates, if any, can be used to prove that the triangles are congruent.
50 points
Answer:
Option B
Step-by-step explanation:
Given:
AB ≅ CD
BC ≅ DA
To Prove:
ΔABD ≅ ΔCDB
Statements Reasons
1). AB ≅ CD 1). Given
2). BC ≅ DA 2). Given
3). BD ≅ BD 3). Reflexive property
4). ΔABD ≅ ΔCDB 4). SSS postulate of congruence
Therefore, Option (B) will be the correct option.
What is the square root of 49?
Answer:
7
Step-by-step explanation:
7×7=49
.............
Answer:
The answer is 7.
7² is equals to 49.
A varsity boy's basketball team has ratio of seniors and juniors that is 7:4. If the team is made up of only juniors and seniors, what is the ratio of seniors to the total team members?
Answer:
7:11
Step-by-step explanation:
From the question
Seniors : Junior's
7:4
The sum of the proportion = Total team members = 7 + 4 = 11
Hence, the ratio of seniors to total team members =
Senior : Total team members
7 : 11
Which point is on both lines?
С
B
D
point C
point A
point D
point B
Answer:
point d that is it because I knwo
Answer:
Point D
Step-by-step explanation:
Point D is on both lines because that is where the lines intersect.
Rock-paper-scissors is a hand game played by two or more people where players choose to sign either rock, paper, or scissors with their hands. We would like to test if players choose between these three options randomly, or if certain options are favored above others. What hypothesis test should we conduct to answer this research question?
a. Chi square test of independence
b. Chi square test of goodness of fit
c. Compare two means
d. Compare two proportions
Answer:
The hypothesis test should we conduct to answer this research question is:
a. Chi square test of independence
Step-by-step explanation:
The Chi-Square Test of Independence or Association tests the two variables of "if players choose between these three options randomly or if certain options are favored above others." It determines whether there is an association between the two categorical variables, ascertaining whether the variables are independent or related. The chi-squared statistic is computed by taking the difference between a pair of observed values and expected values, and squaring the difference,s and then dividing the squared differences by the expected value. After repeating this process for all the elements involved, the sum is obtained.
4t-8
select all that apply.
A: 4(t-2)
B: 4(t-8)
C: (t-2)4
D: 4(4t-2)
Answer:
A. is the answer.
Step-by-step explanation:
4t-8=4×(t-2)
4=0
t-2 add to both side of equation
t=2
What is the best description of the relation in Item 2?
A. a function that is one-to-one
B. a function that is many-to-one
C. a function that is one-to-many
D. a relation that is not a function
Answer:
Step-by-step explanation:
a relation that is not a function
The integer 4 is considered all of the following except _____.
a term
a constant
an expression
a variable
Answer:
variable
Step-by-step explanation:
variables are often expressed by letters
A football team has a net yardage of -33 yards on a series of plays. The team needs a net yardage of 10
yards to get a first down. How many yards do they have to get on their next play to get a first down?
331
Answer:
they need 43 more yards
Step-by-step explanation: