To determine whether or not they have a certain desease, 304 people are to have their blood tested. However, rather than testing each individual separately, it has been decided first to group the people in groups of 19. The blood samples of the 19 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 19 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the desease); whereas, if the test is positive each of the 19 people will also be individually tested and, in all, 20 tests will be made on this group. Assume the probability that a person has the desease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for the entire group of 304 people.
Answer:
The expected number of tests necessary for the entire group of 304 people is 180.0325
Step-by-step explanation:
Probability of person being positive = p = 0.04
Probability of person being negative = q = 1-0.04=0.96
Number of people in each group = 19
We will use binomial over here
Probability of no test positive :
[tex]P(x=0) = ^{19}C_0 (0.04)^0 (0.96)^{19} =0.460419201958[/tex]
P( at least one tests positive) = 1-P( no one tests positive)= 1-0.460419201958= 0.539580798042
Expected number of tests for each group = 1(0.460419201958)+20(0.539580798042) = 11.2520351628
Number of groups =[tex]\frac{\text{Total population}}{\text{no. of people in each group}}=\frac{304}{19}=16[/tex]
Expected number of tests necessary for the entire group of 304 people:
=[tex]\text{Expected number of tests for each group} \times \text{No. of groups}[/tex]
=[tex]11.2520351628 \times 16[/tex]
=180.0325
Hence The expected number of tests necessary for the entire group of 304 people is 180.0325
7k + 5 – 2 = 7k + 3 0
Anyone sorry for so many i just need help
Answer:
K=27
Step-by-step explanation:
the answer is 27
who helps me do this
Answer:
1. True
2. false.
3. true
4. false
5. true
22+33 using GCF and the distributive property.
determina la medida de cada ángulo identificado con las expresiones algebraicas, si se conoce que l y m son líneas paralelas (2x + 27) (3x + 6)
Answer:
I don't know what you're saying but the answer is 6x^2+93x+162
Step-by-step explanation:
pls I need help understanding
Answer:
$206.9
Step-by-step explanation:
I need an answer and a explanation so I can do the rest of them
Answer:
N=85 nickels
Q=18 quarters
9514 1404 393
Answer:
equations: q+n = 103; 0.05n +0.25q = 8.75
solution: q=18; n=85
Step-by-step explanation:
Write one equation for the number of coins:
q+n=103.
Write another equation for the value of the coins:
0.05n +0.25q = 8.75.
It is often convenient to substitute for the lower value, here, using n = 103-q. This results in an equation for q with positive coefficients.
0.05(103 -q) +0.25q = 8.75
5.15 +0.20q = 8.75
0.20q = 3.60
q = 18
n = 103 -18
n = 85
Wes has 18 quarters and 85 nickels.
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answer:
This should help.
Step-by-step explanation:
The mean life of a television set is 138 months with a variance of 324. If a sample of 83 televisions is randomly selected, what is the probability that the sample mean would be less than 143.4 months
Answer: 0.9968
Step-by-step explanation:
Let [tex]\overline{X}[/tex] be the sample mean life of television.
Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]
The probability that the sample mean would be less than 143.4 months will be :
[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]
hence, the required probability = 0.9968
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
Factor the expression x2-5x+6
Answer:
x2 + 5 x − 6 using the AC method. ( x − 1 ) ( x + 6 )
If it is wrong I am sorry!
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answer:
6
Step-by-step explanation:
18/3=6
Refer to Table 9.2. (Data are expressed in billions of dollars).
Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
If the full-employment level of income (YF) in Table 9.2 is $800 billion
A. There is a recessionary gap of $25 billion.
B. The economy is in equilibrium.
C. There is an inflationary gap of $250 billion.
D. There is a recessionary gap of $275 billion.
Answer:
A)There is a recessionary gap of $25 billion.
Step-by-step explanation:
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
Total Private spending = Consumers desire to spend + Investors desire to spend
Total savings = Income - Total private spending
Using these formulas :
Solution Table
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 550 -50
600 375 250 625 -25
700 450 250 700 0
800 525 250 775 25
If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25
So, Option A is true .
Students surveyed boys and girls separately
wait...what?
im lost. lol
Answer:
Step-by-step explanation:
Find the area of the figure.
Answer:
I think its 38 however i could be wrong
Step-by-step explanation:
Self explanatory i just added them
**Put as brainliest if you wish**
Answer:
139yds
Step-by-step explanation:
area of a rectangle is length time width
9(11)=99
area of a triangle is length times width divided by 2
8(10) divided by 2=40
99+40=139
Write an equation for the line that is parallel to y = 3/5x - 8 and goes through
the point (-15,-23)
Answer:
y=3/5x-14
Step-by-step explanation:
parallel lines have the same slope, so m=3/5
y=mx+b
-23=3/5(-15)+b
-23=-9+b
-14=b
y=mx+b
y=3/5x-14
In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?
A.
6
B.
5.66
C.
5.39
D.
2.24
Answer:
NP = 5.39
Step-by-step explanation:
This is the answer because opposite diagonals have equal lengths.
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
What is a polygon?A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.
A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.
In quadrilateral LMNO:
NP = LP = 5.39 (diagonals bisect each other)
In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39
Find out more on polygon at: https://brainly.com/question/1592456
#SPJ2
1/4 to the 6th power
Answer: 0.00024414062
Step-by-step explanation:
10 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
108cm²
Step-by-step explanation:
3x+x=4x
24÷4x=6
x=6
6×3=18
18×6=108
Evaluate the expression.
10.56÷3−1.9=
What number is 88%of 300?
Answer:
29.33
Step-by-step explanation:
88 is what percent of 300 = 29.33.
Answer:
264
Step-by-step explanation:
im not sure but i had this same thing on a quiz and i got it correct
which verb would make this statement an example of personification?
the cell phone
a. shook
b. rang
c. danced
d. lit up
Which number is rational, an integer, and a real number?
A. 5/7
B. There is no such number.
C. -5
D. 1.5
Answer:
-5
Step-by-step explanation:
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree
If the cost of college tuition in 2010 was $6016 and in 2014 was $9139, then the average rate of change in tuition during this time period was $781/year. Do you agree or disagree?
To find the average rate of change during this time period, you need to divide the amount, in dollars, of the difference between the years and divide it by the number of years the time period was.
In 2010, the cost of the tuition was $6,016. In 2014, the cost of the tuition was $9,139. First, you need to subtract to find the difference in tuition.
[tex]9,139-6,016=3,123[/tex]
The increase in tuition for this time period is $3,123. Now, you need to find the number of years it took to increase by $3,123.
[tex]2010 \rightarrow2014 = 4 \text{ years}[/tex]
That means it took four years to increase by $3,123. Lastly, you need to find the average rate of change. You can find this by dividing the amount of dollars(the tuition increased by) by the number of years it took to increase.
[tex]\frac{\text{amount of dollars}}{\text{number of years}} = \frac{\$3,123}{4} = \$780.75[/tex]
That means the average rate of change during this time period was $780.75. Rounded to the nearest whole number, it would be $781. Therefore, you can agree that the average rate of change during this time was $781/year.
Answer:
I Agree
Step-by-step explanation:
That seems like a fair advantage for people planning to go to college!
Express as a trinomial.
(3x + 3)(3x + 8)
PLEASE HELPPP:)
Answer:
9x^2+33x+24
Step-by-step explanation:
The factors (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
To express (3x + 3)(3x + 8) as a trinomial, we can use the distributive property and FOIL (First, Outer, Inner, Last) method.
First, we multiply the first term of each binomial (3x) with the first term of the other binomial (3x), which gives us (3x)(3x) = 9x².
Next, we multiply the first term of one binomial (3x) with the second term of the other binomial (8), which gives us (3x)(8) = 24x.
Then we multiply the second term of one binomial (3) with the first term of the other binomial (3x) , which gives us (3)(3x) = 9x
Finally, we multiply the second term of each binomial (3) with the second term of the other binomial (8) , which gives us (3)(8) = 24
Now we add all the products to get the trinomial
9x² + 24x + 9x + 24 = 9x² + 33x + 24
Therefore, (3x + 3)(3x + 8) can be expressed as a trinomial 9x² + 33x + 24.
Learn more about Expressions here :
brainly.com/question/21751419
#SPJ2
Solve the inequality statement:
4r-5<5r+7
Answer:
r<-12Step-by-step explanation:
hope this helps........
Answer:b
Step-by-step explanation:
(a) It takes 37 pounds of seed to completely plant a 6-acre field.
How many acres can be planted per pound of seed?
Can y’all answer both
Answer:
This answer is 67 because I think its the answer and I'm really just trying to get points on early sorry but you are
12/3×11/3 why the exponents can not be added
Answer:
The bases are not the same.
Step-by-step explanation:
12/3 is not equal to 11/3
Therefore we cannot add the exponents together.
Hope I helped :)
Answer:
(see below)
Step-by-step explanation:
12³ × 11³ is NOT equivalent to (12 × 11)[tex]^{3(3)}[/tex] because:
1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.
2) 12³ × 11³ and (12 × 11)[tex]^{3(3)}[/tex] are different because (12 × 11)[tex]^{3(3)}[/tex] is a whole different number altogether. Here's why:
12³ × 11³ = 1728 × 1331
= 2,299,968
(12 × 11)[tex]^{3(3)}[/tex] = [tex](132)^{9}[/tex]
= 1.216649217 × [tex]10^{19}[/tex]
However, (12 × 11)³ would be equivalent to 12³ × 11³.
(12 × 11)³ = (132)³
= 2,299,968
BRAINLIEST WILL BE AWARDED!!!!!!!!!!!!!!!!!
Answer:
1. = 5
2. = -7
3. = -4
what is the area of this figure
Answer:
a = 83 inches
Step-by-step explanation:
5 * 11 = 55
7 * 4 = 28
55 + 28 = 83