A medical test has a 95% accuracy of detecting a Condition Z if the person has it. It also has a 97% chance to indicate that the person does not have the condition if they really don't have it. If the incidence rate of this disease is 10 out of every 100: What is the probability that a person chosen at random will both test positive and actually have the disease (i.e., get a true positive)
Answer:
0.77
Step-by-step explanation:
According to the Question,
Let, We have 10000 patients & If the incidence rate is 10 out of 100, then 1000 people will have the disease.
Given, A medical test has a 95% accuracy of detecting Condition Z if the person has it. Thus, Out of those 1000, 950 will test positive.And, It also has a 97% chance to indicate that the person does not have the condition if they really don't have itSo, Out of the 9000 people who don't have the disease, 3%
that is, 270 People, will get a false positive.
Thus, the probability that a person is chosen at random will both test positive and actually have the disease is [tex]\frac{950}{950+270}[/tex] .
[tex]\frac{950}{1220}[/tex] ⇒ 0.7786 ≈ 0.77I need help on both questions!
Answer:
9 sq.m
Step-by-step explanation:
because the area of triangle is 1/2 *b*h
Answer:
The area of the triangle is 9 sq. m.
Step-by-step explanation:
The formula of a triangle is 1/2 BH (Base times height divided by two) therefor 6x3/2 is 9, so your answer is 9 sq. m.
Which Equation has a slope of 1/4 and a y intercept of 3
Answer:
option 4 see desmos graph will help you
A population of bacteria can be modeled by the function f(t) = 1000(0,98)", where t represents
the time since the population started decaying, and f (t) represents the population of the
remaining bacteria at time t. What is the rate of decay for this population?
Answer:
Decay rate of 2%
Step-by-step explanation:
Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.
Solve for x.
A. 12
B. 1
C. 3
D. 5
Answer:
1
Step-by-step explanation:
hope this helps <3
The value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
From the tangent-chord angle theorem:
Angle CBA = (1/2)[360 - (272x+2)]
Angle CBA = (1/2)[360 - 272x - 2]
Angle CBA = (1/2)[358 - 272x ]
43x = 179 - 136x
179x = 179
x = 1
Thus, the value of x is 1 if the angle CBA is 43x, and after applying the tangent-chord angle theorem option (B) is correct.
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The question is in the image below
9514 1404 393
Answer:
B. y < -x +1
Step-by-step explanation:
The boundary line has a y-intercept of +1, eliminating choices A and C.
The boundary line has a negative slope, eliminating choices C and D.
The only viable choice is B: y < -x +1.
An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded.
Answer:
B - 12,111
C - 11,589
Step-by-step explanation:
An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded. Which could be the number of scoops sold if they rounded to the nearest thousand? Choose all answers that apply: *
A - 10, 999
B - 12,111
C - 11,589
In order to round off to the nearest thousand, look at the hundred figure, if the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
Rounding off 10,999 to the nearest thousand is 11,000
the hundred figure is greater than 5, so one is added to the thousand figure. The
Rounding off 12,111 to the nearest thousand is 12,000
the hundred figure is less than 5, so zero is added to the thousand figure.
Rounding off 11,589 to the nearest thousand is 12,000
the hundred figure is equal to 5, so one is added to the thousand figure.
Find the value of x.
Answer:
10
please mark brainiest
please help me :(
Any Maths Moderator:( please help me; I am in great trouble
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
x=4
Step-by-step explanation:
[tex](2x-4)^{12}[/tex] =[tex]16^{6}[/tex]
2x-4=[tex]\sqrt[12]{16^{6} }[/tex] =4
x=4
Algebra 2:
A boy has five-dollar coins and y ten dollar coins. There are 8 coins altogether and their total value is $55. How many of each coins do he have?
no links they don't open.
Answer:
5 five-dollar coins and 3 ten-dollar coins
Step-by-step explanation:
10x3=30
5x5=25
30+25=55
Which solid has two triangular bases and three lateral faces, each in the shape of a rectangle?
triangular prism
triangular pyramid
rectangular prism
rectangular pyramid
Answer:
triangular prism
Step-by-step explanation:
the name of the solid is ussualy the base of the shape
Answer:
A
Step-by-step explanation:
what is the minimum and maximum of f(x)=-10x^3+6x-2
Answer:
Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]
Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]
Step-by-step explanation:
If p = 5 and q = 3 evaluate , 4p - pq
Answer:
5
Step-by-step explanation:
4p-pq=4.5-3.5=20-15=5
Answer:
4*5-5*3
20-15
5 ans.....
|- 3x| >= - 7
CAN SOMEONE PLEASE GIVE ME THE SOLUTION SET TO THIS INEQUALITY( WORTH 100 POINTS)
Answer:
x < [tex]\frac{7}{3}[/tex]
Step-by-step explanation:
Have a great summer :)
Answer:
someone answered this and its correct
Step-by-step explanation:
:D
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.
help, the question is on the image
[tex]p = \frac{2 -3g}{g + 4} [/tex]
Refer to the attachment for step by step explaination.
Have a nice day!!
Answer:
[tex]p = \frac{2 - 3g}{(g + 4)} [/tex]
Step-by-step explanation:
[tex]g = \frac{2 - 4p}{3 + p} \\ g(3 + p) = 2 - 4p \\ 3g + pg = 2 - 4p \\ pg + 4p = 2 - 3g \\ p(g + 4) = 2 - 3g \\ \frac{p(g + 4)}{(g + 4)} = \frac{2 - 3g}{(g + 4)} \\ p = \frac{2 - 3g}{(g + 4)} [/tex]
Step by step pls thanks
The choose (d)
1/2(x+1)
x²–25/x²+6x+5 / 2x-10
(x+5)(x-5)/ (x+1)(x+5) / 2(x-5)
Remove (x+5) from the first fraction
(x-5)/(x+1) / 2(x-5)
(x-5) / 2(x-5)(x+1)
Remove (x-5)
1/2(x+1)
I hope I helped you
Good luck ^_^
Question: 1-19
A function has the points (1,5), (3,6), (4, 10), and (x, y).
Which point, (x, y), would keep this a function?
O
(4, 11)
(4,5)
(3,8)
о
(6,3)
Answer: (6,3)
Step-by-step explanation:
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
What is The 10th prime number
Answer:
The 10th prime number is
Step-by-step explanation:
Prime numbers can only be divided by 1 and itself. The 10th prime number in this case would be 29.
Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?
Answer:8
Step-by-step explanation:
We can expect 8 of the next 16 people to have black hair, based on the given information.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Since 2 out of the total number of people who have already taken their seats at the seminar have black hair
we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.
The probability of a person having black hair can be expressed as:
P(black hair) = 2/(2+2) = 1/2
This means that out of the total number of people who have already taken their seats, half of them have black hair.
If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,
we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:
Expected value = total number of people x probability of having black hair
Expected value = 16 x (1/2)
Expected value = 8
Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.
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Solve for xxx. Enter the solutions from least to greatest. (x + 5)^2 - 64 = 0
Answer:
x1= -13,x2=3
Step-by-step explanation:
we have
(x+5)^2 -64=0
<=>x^ 2 + 10x+ 25-64=0
<=>x^ 2+10x-39=0
<=>( x-3).(x+13)=0
Answer:
-13, 3
Step-by-step explanation:
khan
Whoever answers these 2 right gets brainliest and 25 points!
Answer:
1. C) 8•9
2. D) 4•2
Step-by-step explanation:
1. multiplication come first before division
2. You have to resolve parenthesis first (3+4•2)
3•24÷12-(3+8)
Answer:
i think c and d
Step-by-step explanation:
math
Ed has a recipe that uses [tex]\frac{2}{3}[/tex] cup of flour for each batch. If he makes 4 batches, how many cups of flour will he need? Answer in a fraction pls! Will give brainliest!
Answer:
The formula for this would be [tex]2/3 \times4[/tex]
Since we need to multiply the fraction against the amount of batches, to get the final result of cups of flours. (It only makes sense!)
8/3 is the correct answer
2 2/3 is the mixed fraction
Answer as an improper fraction: 8/3
This converts to the mixed number 2 & 2/3
So he'll need 2 whole cups plus another 2/3 of a cup.
===========================================================
Explanation:
1 batch uses 2/3 of a cup
4 batches uses 4*(2/3) = (4/1)*(2/3) = (4*2)/(1*3) = 8/3 of a cup
Simply multiply 2/3 by 4 to get 8/3.
-----------
If you need to convert to a mixed number, then you could follow these steps
8/3 = (6+2)/3
8/3 = 6/3 + 2/3
8/3 = 2 + 2/3
8/3 = 2 & 2/3
Or you could note that 8/3 = 2.667 approximately. The decimal portion 0.667 converts to the fraction 2/3.
Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 8 expressions are not given.
The general explanation is as follows
As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.
Then you categorize each result, depending on if it equals [tex]5^{10}[/tex] or not
Take for instance:
[tex]5^5 * 5^5[/tex]
Using law of indices:
[tex]5^5 * 5^5 = 5^{5+5[/tex]
[tex]5^5 * 5^5 = 5^{10[/tex] ---- equivalent
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}}[/tex]
Factorize the numerator
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}[/tex]
Cancel out 2
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}[/tex]
Apply law of indices
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10[/tex] ---equivalent
[tex]125 * 78125[/tex]
Express as exponent
[tex]125 * 78125 = 5^3 * 5^7[/tex]
Apply law of indices
[tex]125 * 78125 = 5^{3+7[/tex]
[tex]125 * 78125 = 5^{10[/tex] ---- equivalent
[tex]5^3 + 5^7[/tex]
Solve exponents
[tex]5^3 + 5^7 = 125 + 78125[/tex]
[tex]5^3 + 5^7 = 78250[/tex] ---- not equivalent
Pls someone help me these's problem's!
Answer:
15. a because b is being squared by a variable meaning it is exponential and goes forever, but the answer choice B is set only to 3 squared, so a is the answer.
16. D because square root of 96 MINUS square root of 54 on calculator is 2.44948974278, BUT the square root of 6 is ALSO 2.44948974278, so the answer is D or square root of 6
Step-by-step explanation:
my explanation is all on the top
0.45 written as a common fraction, in its simplest form, is
Answer:
920
So, 0.45=920 as a proper fraction in simplest form.
Dmitri began working on his homework at 3:15 p.m. He worked for 1 5/6 hours and then stopped to have dinner. He started working on his homework again at 6:32 p.m. and worked for 1 1/3 hours longer. How many minutes did Dmitri work on his homework in all?
1 5/6 + 1 1/3 = 3 1/6
3 1/6 * 60 = 190
add. what is the sum (2 x 10^16) + (7 x 10^16)
Answer:
9*10^16
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
order of operations dictates to the power preceeds multiplication, therefor the only difference is the sum of the multipliers being 2 and 7, added after factoring within parenthesis
I need help with another too! :( I will mark brainliest! You will get 30 pionts
the picture is right there too! The question is also in the picture too!
I hope you could see it clrealy!
Answer:
130°
Step-by-step explanation:
Angle 3 and 7 are the same so angle 7 is 50°
180° is the angle of a straight line so we take 50 away from 180 giving us 130°.
Hope this helps! :)