Answer:
sure what are we gonna do
Step-by-step explanation:
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.02. It is estimated that 20 % of the population who take this test have the disease. If the test administered to an individual is positive, what is the probability that the person actually has the disease
Answer:
0.8974 = 89.74% probability that the person actually has the disease.
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: Positive test.
Event B: Has the disease.
Probability of a positive test:
0.7 of 0.2(has the disease).
0.02 of 100 - 20 = 80%(does not have the disease). Thus:
[tex]P(A) = 0.7*0.2 + 0.02*0.8 = 0.156[/tex]
Probability of a positive test and having the disease:
0.7 of 0.2. So
[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]
What is the probability that the person actually has the disease?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.156} = 0.8974[/tex]
0.8974 = 89.74% probability that the person actually has the disease.
n circle P with \text{m} \angle NRQ= 60m∠NRQ=60, find the \text{m} \angle NPQm∠NPQ.
Answer:
i dont know
Step-by-step explanation:
i dont know
Jom!
06 PM
What is the slope of the line that passes through the points (-4, 4) and (-6, 6)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Help please match with the words
Answer:
Perpendicular
Skew
Parallel
Step-by-step explanation:
First one : the lines intersect and they form right angles
The second one : they don't intersect and appear on separate planes
The last : they are both sides of a rectangle on the same plane
Answer:
1.) skew
2.) perpendicular
3.)parallel
Step-by-step explanation:
hope that helps:)
What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
Answer:
22 ft²
Step-by-step explanation:
SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)
SA = 20 + 2 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Determine whether the sequence converges or diverges. If it converges, give the limit. 1/462, 1/42, 11/42, 121/42
Answer:
Diverges
Step-by-step explanation:
It will diverge due to my calculations
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
At a basketball game, a vender sold a combined total of 200 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
50 hot dogs
150 sodas
Step-by-step explanation:
set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold
h + s = 200
s = 3h
h + 3h = 200
4h = 200
h = 50
s = 200-50 or 150
The population of a small town in central Florida has shown a linear decline in the years 2001-2012. In 2001 the population was 22200 people. In 2012 it was 13950 people.
A) Write a linear equation expressing the population of the town, P , as a function of t , the number of years since 2001. Include the entire equation as your answer. Answer: _________________
B) If the town is still experiencing a linear decline, what will the population be in 2014?
Answer:
Step-by-step explanation:
First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11. The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:
[tex]m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}[/tex] That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:
[tex]y-22200=-750(x-0)[/tex] and
y = -750x + 22200. That answers part A.
Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):
y = -750(13) + 22200 so
y = 12450 people in the year 2014
hey can some one help with this plz
9514 1404 393
Answer:
21 September
Step-by-step explanation:
Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.
Alicia's birthday is September 21st.
1x1=
9x6 =
18×6=
54×6=
10x2=
Answer:
1x1=1
9x6 =54
18×6=108
54×6=324
10x2=20
Step-by-step explanation:
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi and in June it cost her $444 to drive 620 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Step-by-step explanation:
Given
[tex]d \to miles[/tex]
[tex]C \to cost[/tex]
So:
[tex](d_1,C_1) = (500,420)[/tex] --- May
[tex](d_2,C_2) = (620,444)[/tex] --- June
Required
Express as a function
Start by calculating the slope (m)
[tex]m = \frac{\triangle C}{\triangle d}[/tex]
[tex]m = \frac{444-420}{620-500}[/tex]
[tex]m = \frac{24}{120}[/tex]
Simplify
[tex]m = \frac{1}{5}[/tex]
The equation is:
[tex]C(d) = m(d - d_1) +C_1[/tex]
[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]
[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]
Take LCM
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Can someone help me solv for x?
Answer:
AB=AC
X²+8 =33
X²=33-8
X²=25.
X=√25
X=5
“1.) 7x - 18 = 4x + 21
Explain your work”
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
7x - 18 = 4x + 21
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 4x on both sides: 3x - 18 = 21[Addition Property of Equality] Add 18 on both sides: 3x = 39[Division Property of Equality] Divide 3 on both sides: x = 13Answer:
x = 13
Step-by-step explanation:
7 x - 18 = 4 x + 21
Subtract 4x on both side
7x - 4 x - 18 = 4x - 4x + 21
3 x - 18 = 21
Add 18 on each side
3 x - 18 + 18 = 21 + 18
3 x = 39
Divided each side by 3
3 x / 3 = 39 / 3
x = 13
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
pls help me with this q
Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.
Answer:
its 9 plus 9 and equals 19.0
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx
The relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given a 20 mph wind) is given by the following formula:
y= -22 + 1.4x
Estimate the actual temperature if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:
y = -22 + 1.4x
When.
The temperature adjusted for wind chill, y = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:
-15 = -22 + 1.4x
-15 + 22 = 1.4x (add 22 on both sides)
7 = 1.4x
x = 5 degrees Fahrenheit (divide by 1.4 on both sides)
Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.
Learn more about the linear equation here:
brainly.com/question/11897796
Choose the answer that represents the product below as an exponential
expression
2•2•2•2
A. 5^2
B. 4^2
C. 2•4
D. 2^4
Answer:
2^4
Step-by-step explanation:
2*2*2*2
There are four 2's multiplied together
2 is the base and 4 is the exponent
2^4
Answer:
Hello There!!
Step-by-step explanation:
The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.
hope this helps,have a great day!!
~Pinky~
I would appreciate if someone could answer this for a brainlist :)
Answer:
x is 40° because it's same side interior angle
y is 140° because it's a corresponding angle with the 140° angle
z is 40° because it's a corresponding angle with x
Answer:
X=40, Y=140, Z=40 because total sum is 360
Pls help 12 points pls
Answer:
3/4
Step-by-step explanation:
Hi there!
There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.
I hope this helps!
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
ADMC
Step-by-step explanation:
The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;
Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC
Hence the one that contains diameter with point M is line ADMC
Which function has a maximum with the same maximum value as..?
It wouldn't let me post my question, so I attached a screenshot. Thank you!
9514 1404 393
Answer:
C. -√(x+6) -2
Step-by-step explanation:
The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.
The ranges of the offered answer choices are ...
A. y ≥ -3
B. y ≥ -2
C. y ≤ -2 . . . . . matches that of the given function
D. y ≤ -3
Please ⟟ need help fast
Answer:
do you have a picture or?
have a good day :)
Step-by-step explanation:
Gọi A là biến cố học giỏi mon toán, B là biến cố học giỏi môn văn. Biến cố của biến cố A+B có nghĩa là
35 is 40% of what
number?
Answer:
35 is 40% of 87.5
Step-by-step explanation:
[tex]\frac{40}{100}=\frac{35}{x}[/tex]
Cross multiply
[tex]40x=3500[/tex]
Divide both sides by 40
[tex]x=87.5[/tex]
Hope this helps
Is kissing and making out the same thing or are they 2 different things?
Answer:
different
Step-by-step explanation: very different
A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people.
The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people.
Then the researcher makes sure that everyone from each group answers the survey question.
a. Stratified Sampling
b. Systematic Sampling
c. Simple Random Sampling
d. Cluster Sampling
e. Convenience Sampling
Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1.
Answer:
a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
First 2000, so convenience.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
Every kth element, k = 1500, so systematic.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
Randomly selects 2000 people, so random sampling.
The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
Each element of the cluster is surveyed, so cluster sampling.
