Answer:
x/3 + 12 = 20
Step-by-step explanation:
In a particular region, 6% of the population is thought to have a certain disease. A standard diagnostic test has been found to correctly identify 91% of the people who have the disease. However, the test also incorrectly diagnoses 8% of those who do not have the disease as having the disease (in other words, the person does not have the disease but the test tells them that they do). A randomly selected person in the region is tested for the disease. (a) What is the probability the test comes back positive
Answer:
The positive predictive value ≈ 30.012%
Step-by-step explanation:
(a) The given percentage of the people in the region that have the disease, P(D) = 6% = 0.06
The percentage people correctly identified as having the disease by the standard diagnostic test = 91%
The percentage of people incorrectly identified as having the disease by the standard diagnostic test, P(T + |H) = 8%
Therefore, the sensitivity of the test, P(T + |D) = 0.91
The specificity of the test, P(T - |H) = 1 - 0.08 = 0.92
Therefore, the probability that a person is healthy, P(H) = 1 - 0.06 = 0.94
Therefore, in a population of 1,000 people, 60 people have the disease, with a sensitivity of 91%, the test will correctly pic 0.91×66 = 60.06 people correctly with the disease and 0.91 × 940 = 855.4 people without the disease
The number of non-diseased that test positive by the test is 0.08 × 1000 = 80 people which are false positives
Therefore, the number of diseased diagnosed as negative is 0.08 × 60 = 4.8
Therefore, we have;
[tex]\begin{array}{cccc}&Deseased&Non-diseased& Diseased + Non-diseased\\Test \ +ve&60.06&80& 140.06\\Test \ -ve&4.8&855.4&\end{array}[/tex]
The positive predictive value = Diseased +ve/(Diseased +ve + Non-diseased +ve)
[tex]The \ positive \ predictive \ value = \dfrac{Diseased +ve}{Diseased +ve + Non-diseased +ve} \times 100[/tex]
Therefore;
The positive predictive value = 60.06/(60.06 + 140.06) × 100 ≈ 30.012%
You invest $32,000 in an account that earns 5.75% interest compounded yearly. What is
the total amount of money you will have in the account after 20 years if you never
deposit any additional funds?
Answer:
$97,894.33.
Step-by-step explanation
Joe wants to rent a boat and spend less than $33. Boat cost $7 per hour, and Joe has a discount coupon for $9 off. What are the possible numbers of hours Joe could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
$7 per hour plus $9 off
$7x5=$35-$9 discount=$26
$26+$7=$33
6hours=$42-$9=$33
Joe could rent the boat for 6 hours
Urgent !!!! Can someone please help me
Answer:
The answer is D
Step-by-step explanation:
They are using 135 times the weeks, but the car already had 100 miles on it to start. Juan buys a car that has 40 miles originally on it and he drives it 150 miles per week. So, the word problem is D
If m∠4 = 35°, find m∠2 and m∠3.
There are two parallel lines. Point A and B are on the upper line and point C and D are same are A and B on the lower line. The segment AC is perpendicular to both parallel lines. There is another segment CB. The angle CAB is denoted by 1. The angle ABC is denoted by 2. The angle ACB is denoted by 3. The complementary angle of angle 3 is denoted by 4.
m∠2 =
°
m∠3 =
°
Answer:
Step-by-step explanation:
yes
The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.
Given that AB and CD are parallel and AC is perpendicular to both.
So,
∠ACD = 90°
∠3 + ∠4 = 90°
∠3 = 90 - 35 = 55°.
Now,
Since ∠4 and ∠2 are alternative angles so both will be the same.
So,
∠2 = 35°
Hence "The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°".
For more about the angle,
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y=-4/3x+6; y=2
I need that to be done in subsitution or elimination
Rewrite equations:
y=2;y=
−4
3
x+6
Step: Solvey=2for y:
y=2
Step: Substitute2foryiny=
−4
3
x+6:
y=
−4
3
x+6
2=
−4
3
x+6
2+
4
3
x=
−4
3
x+6+
4
3
x(Add 4/3x to both sides)
4
3
x+2=6
4
3
x+2+−2=6+−2(Add -2 to both sides)
4
3
x=4
4
3
x
4
3
=
4
4
3
(Divide both sides by 4/3)
x=3
Answer:
x=3 and y=2
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
For more information about compound interest
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Help me please!!! ...................
........
Answer:
P = P (1 + r / n) ^ rt
Step-by-step explanation:
The rent for an apartment was $6,600 per year in 2012. If the rent increased at a rate of 4% each year thereafter, use an exponential equation to find the rent for the apartment in 2021
Answer:
$9,393.78
Step-by-step explanation:
Using the equation:
A = P(1+r)^t
Where,
A = final amount
P = initial amount = $6,600
r = rate of increase = 4% = 0.04
t = time in years = 9 years (2012-2021)
A = 6,600(1 + 0.04)^9
= 6,600(1.04)^9
= 6,600(1.4233)
= 9,393.78
A = $9,393.78
how do i find a unit rate
Answer:
numerator divided by denominator
Step-by-step explanation:
150 is 75% of what number?
Answer:
200
Step-by-step explanation:
0.75X = 150
X = 200
so 200 is the answer
Answer:
200
150 is 75% of 200
Step-by-step explanation:
150 is 75% of what number
we can change this so it is simpler to understand.
150 = 75% of x
whenever it says "of" it is telling you to multiply
150 = 75% * x
now we simplify
150 = 75/100 * x
150 = 75x/100
*100 *100
15000 = 75x
/75 /75
200 = x
150 is 75% of 200
Find the area of polygon MNOP formed by the coordinates given below.
M (8,5)
N (8,-4)
O (-7,-4)
P (-7,5)
A.
48 square units
B.
135 square units
C.
15 square units
D.
150 square units
Answer:
B
Step-by-step explanation:
got it right on edg
Just give me some ideas for this please.
Using what you know about fair and unfair games, as well as expected value, design a game that will be fair to both you and the player. Be creative in your design, trying not to mimic anything that you have already seen in this course or in searching the internet. Include a thorough description as well as a visual representation of the game that includes evidence of fairness.
Answer:
For game ideas, try to make a game that everyone will want to play. Make it fun, challenging, but still beatable, but not too easy. One thing you could do is a trivia game! With lots of different subjects so people can choose what they get questions about. Also, do a lot of research to get the questions! Hope this helped :)
Step-by-step explanation:
Answer:
KING OF QUESTIONS!!!
Step-by-step explanation:
Each player starts out with 10 tokens ( tokens can be anything I recommend spare change or coins. ) the tokens will be used as point tallies at the end of the game. But to determine who goes first the question master asks a question from the starting deck( The easiest questions) and starting with player one the players answer and whoever answers with the correct answer will go first, the other players will form an orderly line from closest to the correct answer to farthest. ( If there are more than 1 successful answers you pull another card from the next deck. This is an increase in difficulty. And it will keep increasing until there is one person with the correct or closest answer or until they reach the end of the final deck. Remember that this event is highly unlikely) After this is done the game begins. The question master asks a question the players will answer. The players that get it correct will receive 2 token. The players that do not but are close get 1 and the player to get the farthest from the correct answer loses 1 token. ( Tokens are worth 1 point.)
Roles:
Player 1 ( Answers the questions.)
Player 2 ( Answers the questions.)
Player 3 ( Answers the questions.)
Player 4 ( Answers the questions.)
Question Master & Token Master ( Asks the questions and gives the token to the correct answer. )
How to Win:
Quick Match- Play until a player reaches 30 tokens.
Long Match- Play until all but one player is eliminated.
Ways to Lose- If a player loses all of there tokens or is cheating they are eliminated, this happens only when the player is caught cheating or stealing tokens from other players or when the player loses all of these tokens due to incorrect answers.
What's the greatest common factor 25x^2 and 100x^4y^2
Answer:
I D K
Step-by-step explanation:
I'll give brainliest
your options are:
a. 60
b. 120
c. 180
d. 40
Answer:
the answer is A
Step-by-step explanation:
It is an acute angle but is larger than 40
O There were 9 bags of
candy donated for the
neighborhood party.
Each bag contained
245 pieces. How much
candy did they have
for the party?
Sally had some marbles. After buying 12 more marbles, she had 25 marbles. How many marbles did Sally have before she bought more?
Answer:
13
Step-by-step explanation:
25 - 12 = 13
Answer:
13
Step-by-step explanation:
12 + 13 = 25 or 25 -12 = 13
A dump truck is filled with 82.162 pounds of gravel. It drops off 77.219 pounds of the gravel at a construction site. How much gravel is left in the truck?
Answer:
I believe the answer is 4.943 :)
Step-by-step explanation:
82.162-77.219= 04.943
Help! Will give brainliest and 10 points!
Answer:
-3a^2 - 6a - 10
Step-by-step explanation:
You are subtracting 10a^2 + 6a + 2 from 7a^2 - 8.
You can set it up like the problem shows you, and subtract each term in the second line form a like term in the top line.
7a^2 -8
(-) 10a^2 + 6a + 2
-----------------------------
-3a^2 - 6a - 10
Answer: -3a^2 - 6a - 10
PLS HELP ME QUICK I NEED THIS GOOD GRADE PLS HELPPPP! Tell whether each statement is true or false. If false, provide a counterexample. The set of whole numbers contains the set of rational numbers. Every terminating decimal is a rational number. Every square root is a rational number. The integers are closed under addition.
Answer:
1. The set of whole numbers contains the set of rational numbers. FALSE.
The set of integers contains the set of rational numbers
2. Every terminating decimal is a rational number. TRUE
3. Every square root is a rational number. FALSE
Many square roots are irrational numbers, meaning there is no rational number equivalent.
4. The integers are closed under addition. TRUE
Please help, thank you
y = x + 4 y = −2x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. Source StylesNormal
Answer:
6x
Step-by-step explanation:
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom?
3 to 4
4 to 3
4 to 7
7 to 4
Answer:
3 to 4
Step-by-step explanation:
12÷4=3
16÷4=4
so that makes it 3 to 4
(5g - 3h) - (6g + 7h)
Answer: -g - 10h
Step-by-step explanation:
(5g - 3h) - (6g + 7h)
= 5g - 3h - 6g - 7h
= 5g - 6g - 3h - 7h
= -g - 10h
What is the percent of change? Round to the nearest whole percent if necessary. State whether the percent of change is an increase or decrease. $99 to $74
Work out
5.2
% of
628.55
km
Give your answer rounded to 2 DP.
The Royal Fruit Company produces two types of fruit drinks. The first type is 30% pure fruit juice, and the second type is 80% pure fruit juice. The company is attempting to produce a fruit drink that contains 35% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 90 pints of a mixture that is 35% pure fruit juice?
Answer: I- 81 pints, II-9 pints
Step-by-step explanation:
Given
The first type of juice has 30% pure Juice
The second type of juice has 80% pure Juice
The final mixture has 95 pints of 35% pure juice
Suppose we take x pints from the first Juice
So, the second Juice contributes 90-x
for 35% content
[tex]\Rightarrow 35=\dfrac{x\times 30+(90-x)80}{90}\\\\\Rightarrow 3150=30x+7200-80x\\\\\Rightarrow 50x=4050\\\Rightarrow x=81\ \text{pints}[/tex]
First contributes 81 pints. second contributes 9 pints
Someone please please help me on this problem
Answer:
81 Pesos
Step-by-step explanation:
Use a proportion.
$3 is to 2 Pesos as $121.10 is to x Pesos.
3/2 = 121.1/x
3x = 2 * 121.1
3x = 242.20
x = 80.7333...
Answer: 81 Pesos
Hilary walked 18 yards from her house to the library. Then she walked 288 feet to the post office. What is the total distance in yards Hilary walked? Use the conversion chart below to solve.
Answer:
37 yards
Step-by-step explanation:
Given data
Distance from house to the library= 18 yards
Distance from the library to the post office= 288 feet
Total distance in yards, first let us have all units to yards
288ft to yard= 96 yards
Hence the total distance in yards is
=18+19
=37 yards
• What is the diameter of the circle?
What is the circumference of the circle
What is the area of the circle
Answer:
Radius = r
Diameter = 2r
Circumference = 2πr
Area = πr²
a diameter of a circle is a line drawn through the center of a circle.
What is the value of x? i will give brainliest please help
Answer:
I completely forgot how to do this I'm sorry
Step-by-step explanation: