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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.
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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
x + 4x + 4 - 8x
please help
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Answer:
The answer is -13x+4
Which of the following describe ? Select all that apply.
integer
whole number
irrational number
rational number
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Answer:
Irrational Number
Step-by-step explanation:
Answer:
irrational because pi is a number that can not be converted into a fraction from and its infinite
Step-by-step explanation:
what is the area of this figure
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Answer:
a = 83 inches
Step-by-step explanation:
5 * 11 = 55
7 * 4 = 28
55 + 28 = 83
How many significant figures are in the number: 0.00029
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Answer:
coochie
Step-by-step explanation:
Mr. Collins administered a final exam to his college chemistry class. The results are shown in the following grouped frequency polygon.
According to the data shown in the graph, which of the following statements are correct?
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Answer:
Only 3 students scored between 90 and 99.
13 students earned a C
25 Students scored 70 or better on the exam.
There are 40 Students in the date.
Step-by-step explanation:
Please help me would be greatly appreciated.
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8)
Erica chooses a number. She divides it by four then subtracts 11. She then divides this
result by two. Her answer is 12.5. What was the number she started with?
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Step-by-step explanation:
Let x be the number.
Divide it by 4
x/4
Subtract 11
x/4 - 11
x-44/4
Divides this result by 2
x-44/4 ÷ 2
x-44/4 × 1/2
x-44/8
Her answer is 12.5
x-44/8 = 12.5
x-44 = 12.5 × 8
x = 100 + 44
x = 144
Hence,
She started with 144 number.
Factor the expression x2-5x+6
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Answer:
x2 + 5 x − 6 using the AC method. ( x − 1 ) ( x + 6 )
If it is wrong I am sorry!
Determine if both triangles are congruent or not. Label the triangles as SSS, AAS, ASA, SAS, HL, or not enough information.
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△ABD and △BCD are congruent as:
∠CBD = ∠ABD (Equal Angles)
BD = BD (Common side)
The 90 degree angle (Common between both triangles)
Therefore
△ABD ≅ △BCD (By AAS)
The diagram is not drawn to scale and it appears misleading since AD appears shorter than DC. However, the smaller triangles are congruent and we can prove it using ASA.
The tickmarks on the angles show we have a pair of congruent angles. The other pair of congruent angles are the two right angles (angle BDC and angle ADB). The pair of congruent sides are DB = DB. We use the reflexive property here. The sides are between the congruent angles mentioned. So we'll use ASA and not AAS.
-------------
Extra info:
We can't use SSS because we only have info about one pair of sides. SAS won't be used either for the same reason. HL = hypotenuse leg, and it applies to right triangles only. We don't have any info about the hypotenuse of either triangle, so we can't use this either.it is expected that gas prices will rise to be 142% of the current amount. If the current gas price is $4 per gallon, explain how to estimate the expected price of gas.
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Answer:
$5.68
Step-by-step explanation:
142% of the current price of $4 per gallon is found by multiplying these numbers:
142% × $4.00/gal = $5.68/gal
_____
Of course, you know that 142% = 142/100 = 1.42. The numbers get multiplied and the units ($/gal) get applied to the result.
Multiplication by 4 is easily done mentally by doubling twice:
4×1.42 = 2×(2×1.42) = 2×2.84 = 5.68
Pete wants to make turkey sandwiches for two friends and himself he wants each sandwich to contain 3.5 ounces of Turkey how many ounces of Turkey does he need
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Your equation would be 3x3.5=10.5
Your answer would be 10.5
Suppose your cell phone plan charges a fixed rate of $10 per month plus 7 cents per minute. Create a table that shows the relationship between the total number of minutes you might use each month, m, and your total monthly cell phone bill, t.
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32 Over 8 = 28 Over x
a. x = 4
c. x = 8
b. x = 28
d. x = 7
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Answer:
d. x = 7
Step-by-step explanation:
32/8 = 28/x
simplify the fraction
4/1 = 28/x
cross multiply:
4x = 28
divide both sides by 4:
x = 7
The substance in the chart above that has the greatest number of atoms in each molecule is-
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Answer:
the substance in chart above
Step-by-step explanation:
that has greatest number of atom is each molecule
Students surveyed boys and girls separately
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wait...what?
im lost. lol
Answer:
Step-by-step explanation:
Solve the inequality statement:
4r-5<5r+7
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Answer:
r<-12Step-by-step explanation:
hope this helps........
Answer:b
Step-by-step explanation:
Every 1 inch of vertical rise, 12 inches ramp length is required. What is the ramp length required for the rise of 10.5?
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You will require 126 inches of ramp for a rise of 10.5
Step-by-step explanation:Evaluate the word problem
If your verticle rise is 10.5 inches for every 1 inch of that 10.5 you have 12 inches. This is written into an equation as follows;
x: How many inches of vertical rise you have,
y: Length of ramp required
y = 12x
Solve:
y = 12x
y = 12(10.5)
y = 126 inches of ramp
Hope this helps
LOOK AT THE PIC AND PLZ HELP ASAP
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Answer:
1. Same side Interior Angles
2. Corresponding Angles
3. Alternate Interior Angles
4. Vertical Angles
5. Adjacent Angles
6. Same Side Exterior Angles
7. Alternate Exterior Angles
Hope this helped.
The quotient of fifty and five more than a number is ten
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Answer:
This number would be straight out zero .
Step-by-step explanation:
First it said the quotient of fifty and five MORE than a number is 10, so we first need to focus on the line five MORE than a number is 10, so we know this number is less than the value used in the equation then we focus on the quotient of fifty and, So we know this unknown number lets just say the variable for it is n, then we know that fifty/ n+5=10. So Lets use the associative property to turn this into and some algebra to fifty/10 = n+5, so 50/10 equals to 5, so we know that, 5= n+5, so that would be... n = 0. Hope this helps you answer your question! :)
Kate has a negative bank account balance of $100. If she is depositing $5 a day , how long until she has a negative balance of only $30?
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Answer:
14 days
Step-by-step explanation:
-100 +5+5+5+5+5+5+5+5+5+5+5+5+5+5= -30
a veterinarians office has 2100 animals it sees in one month. of these animals, 1500 of them are dogs. what is the ratio of dogs to all animals, in simplest form?
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Answer:
B
Step-by-step explanation:
If jack age is 5 years, 4 months old and he is expected to live 79.7. years. How many more years is jack is expected to live?
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22+33 using GCF and the distributive property.
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22 : 1 2 11 22
33 : 1 3 11 33
Both have the GCF of 11. By removing 11 from both numbers you end up with:
22 = 2 * 11
33 = 3 * 11
Now replace the values on the right of the equals sign into the original equation:
(2 * 11) + ( 3 * 11)
The distributive property allows us to remove the common values and rewrite as:
11(2 + 3)
This gives:
11(5)
55
If the perimeter of this isosceles triangle is at most 45 centimeters, which inequality could be used to find the value of p?
4p - 6 < 45
7p - 12 < 45
6p - 12 < 45
5p - 6 < 45
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Answer:
Step-by-step explanation:
7p-12< 45
_
The inequality that can be used to find p is 7p -12 < 45. The correct option is B.
What is a Triangle?A triangle is a polygon with three sides, three angles, and three vertices.
The perimeter of the given triangle is at most 45 centimeters.
The perimeter of a triangle is equal to the sum of all sides
The sides given is 3p-6 , 3p-6 ,p
So,
3p-6 +3p-6 +p < 45
7p -12 < 45
Therefore, the inequality that can be used to find p is 7p -12 < 45. The correct option is B.
To know more about Triangle
https://brainly.com/question/2773823
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Can someone help me with this geometry question thanks will mark brainliest
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For parallel lines, gradients (slope) must be the same.
The lines given in multiple choice, no line with the same gradient/slope as line y = 3x - 2.
Step-by-step explanation:
From y = 3x - 2,
The slope = 3
Let's check slopes of lines from multiple choice:
From first line
4x + 2y = 5
2y = -4x + 5 (dived 2 both sides)
y = - 2x + 5/2
The slope = -2
Continue with remaining three equations you get slopes: -1/2, -4 and 4.
Hence no equations above represent parallel equation to y = 3x - 2
Write the interval as an inequality:
(-00, -8]
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Answer:
[tex]x\leq -8[/tex]
Step-by-step explanation:
Find the value of 0.4 ´ 0.023
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Answer:
45-0.023=44.977
Step-by-step explanation:
1/4 to the 6th power
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Answer: 0.00024414062
Step-by-step explanation:
You and your friends are in charge of a fundraising dinner. It costs $120 for all the food and supplies. You
plan to charge $8.00 per ticket. You would like to have a profit of at least $600. Your friend said if you sell
75 tickets, you will reach your profit goal. Tell whether your friend is correct or not. Explain your answer in
sentences and then write and solve the inequality that represenst the number of tickets that you need to
sell.
Posted Fri Oct 9, 2020 at 12:26 pm
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Answer:
$8.00 per ticket. You would like to have a profit of at least $600.
Step-by-step explanation:
$8.00 per ticket. You would like to have a profit of at least $600.
Answer:
your friend is not correct. You need to sell 90 tickets
Step-by-step explanation:
75 tickets X 8 = 600 ( remember you need 120 extra to pay supplies cost, so you need to sell 90 tickets and the costs is $ 8 per tickets)
let's say now.
90 tickets X 8 = 720.
720- 120= 600