To determine whether they have a certain disease, 100 people are to have their blood tested.However, rather than testing each individual separately, it has been decided first to place the peopleinto groups of 10. The blood samples of the 10 people in each group will be pooled and analyzedtogether. If the test is negative, one test will suffice for the 10 people, whereas if the test is positive,each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.Assume that the probability that a person has the disease is .1 for all people, independently of eachother, and compute the expected number of tests necessary for each group. (Note that we areassuming that the pooled test will be positive if at least one person in the pool has the disease.)
Answer:
The expected number of tests necessary for each group is 7.51.
Step-by-step explanation:
The probability of a person having the disease is, P (X) = 0.10.
Then the probability of a person not having the disease is P (X') = 0.90.
It is provided that if the test is negative, one test will suffice for the 10 people.
Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.
Compute the expected number of tests necessary for each group as follows:
Expected number of tests = Negative Result × P (X') + Positive Result × P (X)
[tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]
Thus, the expected number of tests necessary for each group is 7.51.
Find the 7th term in the sequence -1,2,-4,8
=======================================
Work Shown:
We have a geometric sequence
a = first term = -1
r = common ratio = (second term)/(first term) = 2/(-1) = -2
nth term
a(n) = a*(r)^(n-1)
a(n) = -1*(-2)^(n-1)
Now plug in n = 7 to get the 7th term
a(n) = -1*(-2)^(n-1)
a(7) = -1*(-2)^(7-1)
a(7) = -1*(-2)^6
a(7) = -1*(64)
a(7) = -64
The first seven terms are
-1, 2, -4, 8, -16, 32, -64
To get each new term, we multiply the last term by the common ratio -2
division 6=7??????????
Write 81% as a fraction. There is no need to simplify your answer.
Answer:
81/100
Step-by-step explanation:
Answer:
81/100
Step-by-step explanation:
Lainey bought a set of 20 markers for $6
What is the cost for 1 marker?
Answer:
30¢
Step-by-step explanation:
$6 ÷ 20 = $0.30
Find the equation of the line passing through the points (-2,-4) and (7,23)
Answer:
y=−5.4x
Step-by-step explanation:
Slope -5.4
Intercept -14.80
not sure need help
Answer:
0.0078 or 7.8*10^-3
Answer:
7.8 * 10 ^-3
Step-by-step explanation:
( 1.3* 10 ^-5) ( 6 * 10^2)
Multiply the numbers
1.3 * 6 = 7.8
Multiply the exponent terms, remembering we add the exponents, when we multiply
10 ^ -5 * 10 ^2 = 10 ^( -5+2) = 10 ^-3
Put them back together
7.8 * 10 ^-3
Since this is in scientific notation, we are don
If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?
Answer:
Step-by-step explanation:
60-10=50
they washed 50 cars.
Graph g(x) = -8 2 +1.
Answer:
x= -82+1
x= -81
Step-by-step explanation:
i hope it is help full
A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.
Answer:
640 & 400
Step-by-step explanation:
Cost of books: x and 1040-x
x sold at a loss of 15%= .85 x
1040 - x sold at a profit of 36% = (1040 - x) *1.36
x*.85= (1040-x)*1.36
0.85x+1.36x= 1040*1.36
2.21x= 1414.4
x= 1414.4/ 2.21
x= Rs. 640
Rs. 1040 - 640 = 400
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)
Answer:
The area of the shaded region is 0.2898.
Step-by-step explanation:
Let X represent the IQ scores of adults.
It is provided that [tex]X\sim N(100,15^{2})[/tex].
Compute the probability of an adult having an IQ between 106 and 124 as follows:
[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]
[tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]
*Use a z-table.
Thus, the area of the shaded region is 0.2898.
What is √5⋅√7+2√35 expressed in simplified form?
Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
what is the sales tax if a $9,895 purchase will have $809.41 of sales tax added to it? round to one decimal place
Answer:
8.2%
Step-by-step explanation:
9,895x = 809.41
x = 0.08179 or 8.2%
Can y’all help me on this one
What’s the answer?
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
Convert 1,152 inches into yards using fractions
Answer:
8/9 yards
Step-by-step explanation:
-6K – 3 = 39. Please solve this equation for K. Type your work in.
Answer:
k = -7
Step-by-step explanation:
-6k-3 = 39
Add 3 to each side
-6k-3+3 = 39+3
-6k = 42
Divide each side by -6
-6k/-6 = 42/-6
k = -7
To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?
Answer:
the answer is ... look down below
Step-by-step explanation:
52 divided by 6 equals 8.66
The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?
Answer:
300
Step-by-step explanation:
4:7
7-4=3
225/3=75
75x4=300
what is the coefficient of the term 12p in the expression 12p+9q
Answer:
12
Step-by-step explanation:
Answer:
The answer is 12,
Step-by-step explanation:
12 is the coefficient because it is the number multiplied by the variable p in the equation.
Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?
Answer:
a2+b2=c2
Step-by-step explanation:
A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.
PLEASE HEELP
Match the inverse, converse, contrapositive, and biconditional with their sentences.
Conditional Statement: If two angles are congruent, then they have the same measure.
Question 1 options:
converse
biconditional
inverse
contrapositive
1.
If two angles have the same measure, then they are congruent.
2.
If two angles are not congruent, then they do not have the same measure.
3.
If two angles do not have the same measure, then they are not congruent.
4.
Two angles are congruent if and only if they have the same measure.
Answer:
First, let's define each case:
A conditional statement is:
If P then Q.
P = hypothesis
Q = conclussion.
Converse: If Q then P.
Biconditional: P if and only if Q.
Inverse: If not P, then not Q.
Contrapositive: If not Q, then not P.
Our statement is:
"If two angles are congruent, then they have the same measure."
P = two angles are congruent.
Q = they have the same measure.
Now let's look at the options:
1) If two angles have the same measure, then they are congruent.
or: if Q then P, this is converse.
2) If two angles are not congruent, then they do not have the same measure.
or: If not P, then not Q, this is inverse.
3) If two angles do not have the same measure, then they are not congruent.
or: If not Q, then not P, this is the contrapositive.
4) Two angles are congruent if and only if they have the same measure.
or: P if and only if Q, this is biconditional.
x=4/9,y=1/2, and z=3/5 6wy-3z
Answer: The answer would be - 7/5 or (-0.46)
Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.
Change 3.5 decimal into a percent
Like out of 100? Then it would be 3.5%
The answer you're looking for is: 350%
(Tell me if i'm wrong please)
55 points and Brainliest!
Answer:
Um
Step-by-step explanation:
Anthony wants to make a discretionary purchase of a basic laptop computer. He checks the prices of a particular make and model listed by seven different venders on a shopping comparison website. He found these prices: $850, $798, $2,400, $790, $836, $700, and $780. He computes the mean as $1022.
Answer:
He computes the mean as $1,022.
Step-by-step explanation:
Two angles form a linear pair. The measure of one angle is 6 less then the measure of the other angle. Find the measure of each angle
Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
Can you guys help me with finding the answer to this?
Triangle ABC is shown below.
What is the length of line segment AC?
A
A
O 7
O 9
2x
3x-7
O 14
O 18
B
4x - 10
с
Answer:
the answer is 14 C
Step-by-step explanation:
just took the test?
what is 50 divided by 6. explain
Answer:
8.333333333 repeating
Step-by-step explanation:
do the equation for 50/6 and you will get 8.3333 repeating
The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.
To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.
When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).
We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.
Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.
Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.
The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ6
In the sequence, 2, 5, 8, 11, …, which expression describes the number
after x? Explain your choice.
Group of answer choices
x+3
x-3
x/3
3x
Answer:
the first one x+3 is the right answer