400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of correctly identifying someone who is not a future terrorist. If there are 1,000 future terrorists in a population of 400 million, and one of these 400 million is randomly selected, scrutinized by the system, and identified as a future terrorist, what is the probability that he/she actually is a future terrorist
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)
Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciation on expensive items like cars. Businesses use depreciation as a loss when calculating their income and taxes. One company buys a new bulldozer for $109600. The company depreciates the bulldozer linearly over its useful life of 16 years. Its salvage value at the end of 16 years is $17600. A) Express the value of the bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation. B) The value of the bulldozer after 7 years is $
Answer:
a. V = $109,600 - $5,750(t)
b. $69,350
Step-by-step explanation:
a. The expression of the value of the bulldozer is as follows
V = $109,600 - (m) × (t)
where,
m = depreciation
t = time in years
Now the equation would be
$109,600 - 16(m) = $17,600
m = ($109,600 - $17,600) ÷ (16)
= $5,750
Now the expression would be
V = $109,600 - $5,750(t)
b. Now the value of the bulldozer is
= $109,600 - $5,750 × 7 years
= $109,600 - $40,250
= $69,350
What is the simplified value of the exponential expression 273?
Answer:
3
Step-by-step explanation:
27^1/3
= 3√27
=3 is the collect option
Directions (0.13 to 0.16): Find the odd one out.
13.
(1) Gujarat
(2) Maharashtra
(3) Uttar Pradesh
(4) West Bengal
Answer:
[tex]uttar \: pradesh[/tex]
Step-by-step explanation:
[tex]because \: all \: except \: uttar \: pradesh \\ \: have \: sea \: coast \\ \: \\need \: brainliest \: and \: thankss...[/tex]
To earn a prize sally had to sell at least 9 out of the 20 candy bars for the band fundraiser what percentage of the candy bars did she need to sell ?
Answer:
45%
trust me i took this test before
Step-by-step explanation:
Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!
At a concert, the band has 18 men's T-shirts and 16 women's T-shirts. The band wants to set up tables to sell the shirts, with an equal number of men's and women's shirts available at each table and no shirts left over. What is the greatest number of tables the band can sell shirts from?
What’s 3/6 as a mixed number
Answer:
It can't be made into a mixed number
Step-by-step explanation:
IS THIS RIGHT PLSS HELPPP
Answer:
yes
Step-by-step explanation:
Clare is in charge of getting snacks for a road trip with her friends and her dog. She has
$35 to go to the store to get some supplies. The snacks for herself and her friends cost
$3.25 each, and her dog's snacks costs $9 each.
Answer:
$15 and 50 cents
Step-by-step explanation:
3.25x2=6.50+9=15.50
if 126 base n is equal to 86 find the positive value of n
If 126n = 86, find a positive value for n
Answer:
0.68?
Step-by-step explanation:
I am not from English speaking country so I am not sure about the first sentence but the second
126n = 86 | /126
n = 86/126
n ≈ 0,68
ON A COMPUTER SCREEN ANSWER ASAP
Point M is drawn as the midpoint of BC.
Which of the following could be used as part of the proof that B2C? Select three that apply.
AB AC because of the definition of an isosceles triangle
BAC because corresponding parts of congruent triangles are congruent.
AABM 4 AACM because of the SAS triangle congruence criterion
BMCM because of the definition of a midpoint
AM A AM because of the Symmetric Property
Answer:
A. AB = AC because of the definition of an isosceles triangle
B. ∠B = ∠C because corresponding parts of congruent triangles are congruent.
D. BM = CM because of the definition of a midpoint
Step-by-step explanation:
A. An isosceles triangle is a triangle with two equal sides, hence:
AB = AC because of the definition of an isosceles triangle. option A is correct.
D. Since Point M is drawn as the midpoint of BC, hence:
BM = CM because of the definition of a midpoint. Option D is correct.
E. Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself. hence AM ≈ AM because of reflexive property.
AM ≈ AM because of the Symmetric Property is wrong. Option E is wrong.
C) The side - side - side (SSS) triangle congruence theorem states that if all the sides of two triangles are equal, then they are congruent triangles.
Since BM = CM, AM = AM and AB = AC, hence ΔABM = ΔACM because of the SSS triangle congruence criterion
ΔABM = ΔACM because of the SAS triangle congruence criterion is wrong. Option C is wrong.
D. Corresponding parts of congruent triangles are congruent. hence:
∠B = ∠C because corresponding parts of congruent triangles are congruent. Option B is correct
Hurry!!!!!!! Plz answer fast 90 points
To calculate this percentage, we suggest using this formula:
% / 100 = Part / Total
Substituting the provided values:
60/100 = Part / 20
Performing cross multiplication:
60 x 20 = 100 x Part, or
1200 = 100 x Part
Now just divide by 100 and get the answer:
Part = 1200/100 = 12
Which measurement is most likely to be the mass of a strawberry?
Answer:
is there anything to go with this?
Step-by-step explanation:
Answer: D
Step-by-step explanation: Saw your recent comment on this
Which expression is equivalent to the expression below? 1/2 * x - 1
Answer:
2 * x - 2
Step-by-step explanation:
If you double something on one side, you have to do it on the other side
So you can do this for any problem, and it will be equivalent to the original expression :D
The population of a city decreases by 4% per year. If this year's population is 231,000, what will next year's population be, to the nearest individual?
Answer:
221,760
Step-by-step explanation:
1. multiply 231,000 by 4
2. divide the answer by 100
3. subtract that answer from 231,000
4. This is the answer to the question
A person places $6860 in an investment account earning an annual rate of 2.9%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
9514 1404 393
Answer:
$9,437.65
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
[tex]V=Pe^{rt}\\\\V=\$6860\cdot e^{0.029\cdot 11}=\$6860\cdot 1.375751\\\\\boxed{V=\$9{,}437.65}[/tex]
Select the correct answer from the drop-down menu.
N
56°
56°
34
M
Р
20
Answer:
the amswer is b hope this helps
What is the angle measure of angle MPQ?
Answer:
125°
Step-by-step explanation:
Find the value of x first.
5x = 3x + 50 (corresponding angles are congruent)
Subtract 3x from each side
2x = 50
Divide both sides by 2
x = 25
Angle MPQ = 3x + 50
Plug in the value of x
Angle MPQ = 3(25) + 50 = 125°
Corey Steinbruner is the marketing director for a new vitamin supplement and he wants to place ads in two magazines: Sports Illustrated and Men's Health. Corey estimates that each one-page ad in Sports Illustrated will be read by 4 million people and costs $2000 and each one-page ad in Men's Health will be read by 1 million people and costs $1000. Corey does not want to budget more than $14,000 on advertising and wants to place at least 3 ads in Sports Illustrated and at least 4 ads in Men's Health. a) Let LaTeX: xx be the number of ads in Sports Illustrated and LaTeX: yy be the number of ads in Men's Health. Write the objective function (with quantities in millions) to find the maximum number of readers reached by the ads.
Answer:
Step-by-step explanation:
From the given information:
x = number of ads in sports illustrated
y = number of ads in Man's health
Thus, the total ads read by z = (4x +y) million people
The objective function to maximize Z (millions) is:
Z = 4x + y
To determine x & y; constraint to,
x ≥ 3, y ≥ 4
Budget constraint: 2000x + 1000y ≤ 14000
By approaching the graphically
If we draw the line x = 3 , y = 4
Then;
2000x + 1000y = 14000
2x + y = 14
Corner points are A (3,4), B(5,4), C(3,8)
At A(3,4):
Z = 4(3) + 1 (4) = 16
At B(5,4):
4(5) + 1 (4) = 24
At C(3,8):
4(3) + 1(8) = 20
Thus, Z = 24 million. x = 5, y = 4
Therefore;
they should place 5 ads in sports illustrated.
4 ads in man's health to maximize the number of 24 million readers.
Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=
Answer:
c
Step-by-step explanation:
I took the test and got a 4/5
Answer:
(-4)^5x(-5)^5=
Step-by-step explanation:
what's a slop in math
Answer:
Its the division of x axis divided by y axis
Answer:
The slope of the line is a measure of its steepness. You can find it with rise/run. The formula for slope is m=y2-y1/x2/x1
What is the length of side a?
Answer:
where is the picture
Step-by-step explanation:
u need a pic
Identify the rule relating each term in the following sequence: 8, - 4, 2 - 1, 1/2, 1/4, 1/8
A: Divide by 2
B: Divide by -2
C: Multiply by -2
D: Multiply by 2
Answer:
B: Divide by -2
Step-by-step explanation:
The only logical conclusion would be divide by -2, though that may not be the entire correct answer. Why?
Firstly, the sequence of 8, -4, 2, -1 only follows division by -2. Division by 2 would result in 8, 4, 2 and 1, multiplication by -2 would result in 8, -16, 32, -64, and multiplication by 2 would result in 8, 16, 32 and 64. Hence, the only logical conclusion would be division by -2.
However, this rule breaks down as we go into the fractions. -1 / -2 is 1/2, sure, but (1/2) / -2 should be - 1/4, and not 1/4. Hence, as we go into the fractions, the rule should have changed to division by 2 instead.
The only solution to unite the whole sequence would be to correct 1/4 to -1/4, and maybe OP should check whether that is the case.
Hope this helped!
Answer:
b. divided by -2
Step-by-step explanation:
1 Austin earned 47 out of 50 points on his math test. Marty earned a 92% on his math test. Who earned a higher score? Marty or Austin
Answer:
Austin earned a higher score
Step-by-step explanation:
47/50 (Austin's score) = 94/100 (denominator is now 100) = 94% (converted to percentage) > 92% (Marty's score)
Hope this helps!
Answer:
Austin earned a higher score.
Step-by-step explanation:
Marty 50 * 0.92 = 46 points
1. Neena is listening to a song. It has a consistent beat. She counts 11 beats in 5 seconds. What is the constant of proportionality for the relationship of beats to minutes?
Answer:
132
Step-by-step explanation:
132
Step-by-step explanation:
First, find how many beats are in a minute by creating a proportion:
\frac{11}{5} = \frac{x}{60}
Cross multiply and solve for x:
5x = 660
x = 132
So, there are 132 beats in one minute.
This means the constant of proportionality is 132.
Answer:
132
Step-by-step explanation:
HELPP PLSSS!! I NEED HELPL
Answer:
65% :) enjoy your day!
Step-by-step explanation:
please mark brainliest
simplify 7 sqare root 3 takeaway 2 sqare root 3 add sqaure root 3 takeaway 3 sqaure root 3
Answer:
tel:+18446450594
Step-by-step explanation:
Students set up the experiment shown in their Biology class. After 24 hours, students noticed gas had accumulated in one of the inverted test tubes.
They measured the amount of gas.
What would be a best explanation for the gas accumulated in one of the inverted test tubes?
Answer: Light caused the eludes plants to photosynthesize, releasing O2 gas
Students replicated the experiment carried out in biology class, and after observing for 24 hours that gas had accumulated in one of the inverted test tubes, it is by light caused to elodea plant to photosynthesize and release oxygen, hence option D is correct.
What is the photosynthesis experiment?There are numerous studies that show photosynthesis in action. For instance, when an elodea plant is exposed to sunlight, gases are emitted, collected in a tube, and tested to see if they contain oxygen.
This shows that the plant creates oxygen and glucose when exposed to sunlight.
Therefore students replicated the experiment carried out in biology class, and by the plant during the process of photosynthesis, hence option D is correct.
Learn more about photosynthesis, here:
https://brainly.com/question/30033973
#SPJ5
Can somebody please help with this?