Answer:
0.9976 = 99.76% probability that he/she actually is a future terrorist
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Person identified as a future terrorist
Event B: Person is actually a future terrorist.
Probability that a person is identified as a future terrorist:
96% of [tex]\frac{1000}{200000000}[/tex]
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
So
[tex]P(A) = 0.96\frac{1000}{200000000} + 0.002\frac{200000000-1000}{200000000} = 0.002[/tex]
Probability of being identified and being a future terrorist:
100 - 99.8 = 0.2% of [tex]\frac{200000000-1000}{200000000}[/tex]
[tex]P(A \cap B) = 0.002\frac{200000000-1000}{200000000} = 0.00199999[/tex]
What is the probability that he/she actually is a future terrorist
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00199999}{0.00200479} = 0.9976[/tex]
0.9976 = 99.76% probability that he/she actually is a future terrorist
Can someone help me
Answer:
The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3
Step-by-step explanation:
Hope this Helped
The population of cats that are rescued every year is currently 50,000 and declines at a rate of 1.2% every year. This models
Answer:
Exponential decay
Which expression is equivalent to x + 0.2x
1.2x
0.2x squared
0.2x
1.02x
Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had
twice as many mangoes as Junior. What is the total number of mangoes both boys had at
the beginning?
Answer:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
PLS HELP I DONT KNOW THIS ONE ITS URGENT
Answer:
A. [tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
Step-by-step explanation:
WX, VY, and UZ are parrelel to each other, therefore, base on triangle proportional theorem, the two transversal lines are divided proportionally by the 3 parallel lines.
Thus, we would have the following equation which is true:
[tex] \frac{UV}{VW} = \frac{ZY}{YX} [/tex]
Please Help me, what the answer
Show how you found the slope and y-intercept
Answer:
Slope: [tex]\frac{5}{2}[/tex]
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
[tex]y = \frac{5}{2} x + b[/tex]
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
[tex]5 = \frac{5}{2}(2) + b[/tex]
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]
Y-intercept: 0
What is the measure of angle A?
Enter your answer as a decimal in the box. Round your final answer to the nearest hundredth.
Answer: 45 degrees
Step-by-step explanation:
Please help I'm confused with what to put in those boxes
A person invested $370 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $720
Answer:
10.6
Step-by-step explanation:
y=a(2)^t/d
Plug in
720=370(2)^t/11
Divide both sides by 370
1.945945946 = (2)^t/11
Log both
Log(1.945945946) / Log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
10.56518799 to the nearest tenth is 10.6 = t
It would take 10.6 years for the value of the account to reach $720.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.
As per the question, we can write an exponential function as:
[tex]y=a(2)^{t/d}[/tex]
Substitute the values of y = 720, a = 370 and d = 11 in the above equation:
[tex]720=370(2)^{t/11}[/tex]
Divide both sides by 370
[tex]1.945945946 = (2)^{t/11}[/tex]
Take logarithms on both sides of the equation,
log(1.945945946) / log(2)
0.9604716359 = t/11
0.9604716359 x 11 = t
t = 10.56518799
Rounded to the nearest tenth
t = 10.6
Thus, the required time would be 10.6 years.
Learn more about exponential function here:
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Hazel works at The Last Page Booksellers. Her total earnings were $24,000 last year. Hazel
paid $157 in payroll taxes for every $1,000 she earned.
What was Hazel's net income for last year?
Answer:
Step-by-step explanation:
157x24 = ...
The perimeter of a triangle is 51 centimeters. The lengths of its sides are represented by x, x + 2 and x + 4. Find the lengths of all three sides.
Answer:
sides are 15 cm, 17 cm, and 19 cm
Step-by-step explanation:
x + (x+2) + (x+4) = 51
3x+6 = 51
3x = 45
x = 15
Rewrite y=a(1/3)^3t in the form y = a(1+r)^t or y = a(1 –r)^t
Answer:
sorry
Step-by-step explanation:
sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes
What is 16% as a decimal?
Answer:
0.16 in decimal
Step-by-step explanation:
Answer:
0.16
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
16/100
Then when you divide it, it becomes 0.16.
Evaluate 7^2 PLEASE HELP ME
Can someone explain the washer method in calculus and help me solve this problem?
Answer:
Step-by-step explanation:
-595-65
Btw they are both negative numbers
Answer:
-660
Step-by-step explanation:
-595-65=-660
Please Help. Will give Brainliest.
Answer:
translation.........
HELPPPPP PLSSSSSS !!!!!!!
Charmaine is having a party. She'll have 4 tables for every 8 guests. Complete the table below showing the number of tables and the number of guests
Answer:
Top is 18, Bottom goes 6 for 12, then 7 for 14, then 10 for 20
Step-by-step explanation:
2 guests = 1 table
A polynomial function has zeros at 5/2 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function in standard form that could represent this function
Answer:
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
Step-by-step explanation:
[tex](x-5/2)^{2}(x-3)(x-0)^4 =0\\(2x-5)^{2}(x-3)(x)^4 =0[/tex]
Expand and get
-75 x^4 + 85 x^5 - 32 x^6 + 4 x^7
The standard form will be [tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
What will be the standard form of the given expression?The given expression is
[tex](x-\dfrac{5}{2})^2(x-1)^2(x-0)^4=0[/tex]
[tex](x^2-5x+\frac{25}{4} )(x^2-2x+1)(x^4)=0[/tex]
[tex](x^4-2x^3+x^2-5x^3+10x^2-5x+\dfrac{25x^2}{4} -\dfrac{50}{4} x+\dfrac{25}{4} ) x^4=0[/tex]
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
Thus the standard form will be
[tex]X^4(x^4-7x^3+12x^2-\dfrac{35x}{2} +\dfrac{25x^2}{4} +\dfrac{25}{4} =0[/tex]
To know more about Polynomials follow
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Sydney's car used 1/ 3/5
gallons to travel 6666 miles. How many miles can the car go on one gallon of gas?
Answer:
Sydney car can go 44.4 miles on gallon
What is the least common denominator of 3/5 and 9/10?
Answer:
9/10
Step-by-step explanation:
3/5 = 6/10 = 9/10 = 9/10
I'm not 100% sure of this answer someone please correct me if I'm incorrect.
Find the slope of the line that passes through Point A (-1, -6) and Point B (-7, -3), using the formula m= y2-y1/x2-x1.
Answer:
Step-by-step explanation:
Given A (-1, -6) and B (-7, -3)
Slope (m)
= y2-y1/x2-x1
= - 3 + 6 / - 7 + 1
= 3/-6
=-1/2
hope it helps :)
Answer: 3 / -6
Step-by-step explanation:
-3 - (-6) / -7 - - 1 = 3 / -6
The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left
They boost the economy
Answer:
I think the question is incorrect
Step-by-step explanation:
they boost the economy why is this in mathematics
♀️♀️
if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends
Answer:
47 hours?
Step-by-step explanation:
She would have 47 hours lol
If she says yes then she would have enough time to spend with family and then 1 hour to go?
Which phrase best describes the relationship indicates by the scatter plotting?
Answer:B
Step-by-step explanation:
Can someone please help!!!
Answer: {t| t ≥ 2}
Step-by-step explanation:
3t - 6 ≥ t - 2
-t -t
---------------------
2t - 6 ≥ -2
+6 +6
---------------------
2t ≥ 4
t ≥ 2
What is the area of the triangle? 4 6 units2
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Answer:
2 and 6
Step-by-step explanation:
NEEd help quickly please!!! The basketball game had 500 people in attendance. If the ratio of Pioneer fans to Lion fans is 15:5, how many MORE Pioneer fans were there? Pls use tape diagram.
Answer:
Step-by-step explanation:
15(500/20)-5(500/20)
375-125
250
There were 250 more Pioneer fans than Lion fans.