Answer:
x=36
Step-by-step explanation:
2/3x-7=17
2/3x-7+7=17+7
2/3x=24
2/3x(3)=24(3)
2x=72
2x/2=72/2
x=36
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
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
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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?
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.
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
Solve the inequality statement:
4r-5<5r+7
Answer:
r<-12Step-by-step explanation:
hope this helps........
Answer:b
Step-by-step explanation:
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
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
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what is the area of this figure
Answer:
a = 83 inches
Step-by-step explanation:
5 * 11 = 55
7 * 4 = 28
55 + 28 = 83
Determine if both triangles are congruent or not. Label the triangles as SSS, AAS, ASA, SAS, HL, or not enough information.
△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.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 .
Need Help Asap) Graph the piecewise function. ( Look at the picture). Will Mark Brainliest.
Answer:
This should help.
Step-by-step explanation:
1/4 to the 6th power
Answer: 0.00024414062
Step-by-step explanation:
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!
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:
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
The quotient of fifty and five more than a number is ten
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! :)
22+33 using GCF and the distributive property.
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?
Answer:
B
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!
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
BRAINLIEST WILL BE AWARDED!!!!!!!!!!!!!!!!!
Answer:
1. = 5
2. = -7
3. = -4
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
which verb would make this statement an example of personification?
the cell phone
a. shook
b. rang
c. danced
d. lit up
Evaluate the expression.
10.56÷3−1.9=
Students surveyed boys and girls separately
wait...what?
im lost. lol
Answer:
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
Write the interval as an inequality:
(-00, -8]
Answer:
[tex]x\leq -8[/tex]
Step-by-step explanation:
How many significant figures are in the number: 0.00029
Answer:
coochie
Step-by-step explanation:
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
pls I need help understanding
Answer:
$206.9
Step-by-step explanation:
Please help me would be greatly appreciated.