Consider the following information: Observations 1 2 3 4 5 6 Num. of defects 10 18 13 15 9 12 The number of runs above and below the sample median is:
Answer:
There are 3 runs above and below the sample mean
Step-by-step explanation:
From the given information; we have a table that can be computed as:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
If we sort the order in ascending order; we have:
Observations 5 1 6 3 4 2
Number of defects 9 10 12 13 15 18
The median is the middle number; here the integers are even :
Thus, the median is (12 + 13)/2 = 12.5
We need to make counts from the table given above to determine if they are below or above the median
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
To count for the number of runs from the beginning and when there is a change of runs from A to B; we have:
Observations 1 2 3 4 5 6
Number of defects 10 18 13 15 9 12
Above(A) /Below (B) B A A A B B
Runs 1 2 - - 3 -
Therefore, from the analysis, there are 3 runs above and below the sample mean
The median element of a dataset is the middle element of the dataset.
There are 3 runs above and below the sample median
The information is given as:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
In ascending order, the information is represented as:
Defects 9 10 12 13 15 18
Observations 5 1 6 3 4 2
The total number of observations is:
[tex]\mathbf{n = 5 + 1 + 6 + 3+ 4 + 2}[/tex]
[tex]\mathbf{n = 21}[/tex]
The median element is calculated as:
[tex]\mathbf{Median = \frac{n + 1}{2}th}[/tex]
Substitute 21 for n
[tex]\mathbf{Median = \frac{21 + 1}{2}th}[/tex]
[tex]\mathbf{Median = \frac{22}{2}th}[/tex]
[tex]\mathbf{Median = 11th}[/tex]
The 11th element is 12.
So, the median is:
[tex]\mathbf{Median = 12}[/tex]
Considering the given information;
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
The defects greater than the median (i.e. 12) are above (A) the median, while the defects less than the median are below (B)
So, we have:
Observations 1 2 3 4 5 6
Defects 10 18 13 15 9 12
Status B A A A B -
Next, we take a count of the number of times the status changes, i.e. from B to A, from A to B, from A or B to -
The count is 3.
Hence, there are 3 runs above and below the sample median
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Can somwon help me wit this queston plaese
Answer:
11
Step-by-step explanation:
if you have 10 apples then get 1 more you would have 11 :)
11
Hope this helps
James King
The amount of money deposited into an account in a given year is multiplied by a growth factor of x = 1 + r. $800 is
deposited at the start of the first year; an additional $300 is deposited at the start of the next year, and $625 at the start of
the following year. Write an expression that represents the amount of money in the account at the end of the three years.
Answer:
800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Step-by-step explanation:
At the beginning of the first year $800 is deposited.
At the end of the first year the amount of money in account = $800 × growth factor = 800(1 + r)
At the beginning of the second year, $300 is deposited, the money in account = 800(1 + r) + 300
At the end of the second year the amount of money in account is multiplied by growth factor. = [800(1 + r) + 300] × 1 + r = 800(1 + r)² + 300(1 + r)
At the beginning of the third year, $625 is deposited, the money in account = 800(1 + r)² + 300(1 + r) + 625
At the end of third year the money = [800(1 + r)² + 300(1 + r) + 625] × 1 + r = 800(1 + r)³ + 300(1 + r)² + 625(1 + r)
Sarah bought 3 purses which cost $12.30, $34.23 and $23.19. How much did she spend?
Answer:
$69.72
Step-by-step explanation:
3. A family of 6 is visiting a mall. The mall has 10 exit doors. Assume random selection. Find the probability that a. No family member chooses the same exit door. b. Every family member chooses the same exit door
Answer:
(A) 0.6
(B) 0.1
Step-by-step explanation:
(A) Find the probability that NO family member chooses the same exit door.
Now, if no family member chooses the same exit door with another, it means that each person chooses a separate door. If each person chooses a separate door, then 6 out of 10 doors are chosen!
This translates to 6/10 which is = 0.6
So the probability that each family member has a door to him or herself is 0.6
(B) Find the probability that EVERY family member chooses the same exit door.
In this case, the number of persons (family members) does not really count. The focal point of the question is that everybody chooses the same door (and will use the same door). This means that only 1 door out of 10, will be chosen AND the probability that only one door out of 10 will be chosen is
1/10 = 0.1
A Tortoise walks 12 inches per minute. Convert to feet per hour.
Answer:
60 feet per hour
Step-by-step explanation:
12 ÷ 12 = 1
1 * 60 = 60
Because the population size may change over time, you also decide to look at rates,which for drug overdose are generally expressed as deaths/100,000 residents.The statepopulation for 2015 was estimated at 11,620,000.Calculate the rate of drug overdosedeaths
This question is incomplete, the complete question is;
As the junior public health epidemiologist in a large state in the Midwest Rust Belt, you have been asked by your supervisor to assist her in updating the statistics on opioid deaths. She is also asking for your help in writing a brief report describing the current situation for the annual report on drug abuse.
- In 2015, there were 3050 drug-related deaths, of which 2950 involved opioids, What percent of the deaths were due to opioids? Express your answer in the following format: XX.XX% (e.g., 54.81%).
- Because the population size may change over time, you also decide to look at rates, which for drug overdose are generally expressed as deaths/100,000 residents. The state population for 2015 was estimated at 11,620,000.Calculate the rate of drug overdose deaths.
Answer:
the rate of drug overdosedeaths is 27 per 100,000 residents
Step-by-step explanation:
Given that;
3050 drug-related deaths in 2015,
Deaths due to opioids in 2015 is 2950
percentage = (2950 / 3050) × 100 = 96.72%
therefore
percentage of the deaths that were due to opioids in 2015 is 96.72%
-
we know that
State population for 2015 = 11,620,000
Number of drug-related deaths in 2015 = 3050
Death rate is number of deaths recorded divided by the number of population, and then multiplied by 100,000 as in the question
so
Rate of drug overdose = (3050 / 11620000) × 100,000
=26.25 ≈ 27 per 100,000 residents { since of person can't be decimal)
therefore
the rate of drug overdosedeaths is 27 per 100,000 residents
help asap it important
2. Knowing the results of the 2018 SAT math exam with a mean of 531 and standard deviation of 114, answer the following questions: (10 points)
a. What percentage of test takers scored lower than 400 on the math SAT?
Your calculation:
b. What percentage scored between 600 and 700 points?
Your calculation:
c. Your score is 725. What is your percentile rank?
Answer:
(a) 12.5%
(b) 20%
(c) 96th
Step-by-step explanation:
Let X denote the results of the 2018 SAT math exam.
It is provided that the mean of exam was, μ = 531 and standard deviation of σ 114.
Assume that X follows a normal distribution.
(a)
Compute the probability of test takers who scored lower than 400 on the math SAT as follows:
[tex]P(X<400)=P(\frac{X-\mu}{\sigma}<\frac{400-531}{114})[/tex]
[tex]=P(Z<-1.15)\\\\=0.12507\\\\\approx 0.125[/tex]
Thus, the percentage of test takers who scored lower than 400 on the math SAT is 12.5%.
(b)
Compute the probability of test takers who scored between 600 and 700 points as follows:
[tex]P(600<X<700)=P(\frac{600-531}{114}<\frac{X-\mu}{\sigma}<\frac{700-531}{114})[/tex]
[tex]=P(0.61<Z<1.48)\\\\=P(Z<1.48)-P(Z<0.61)\\\\=0.93056-0.72907\\\\=0.20149\\\\\approx 0.20[/tex]
Thus, the percentage of test takers who scored between 600 and 700 points is 20%.
(c)
Compute the value of P (Z < 725) as follows:
[tex]P(X<725)=P(\frac{X-\mu}{\sigma}<\frac{725-531}{114})[/tex]
[tex]=P(Z<1.70)\\\\=0.95543\\\\\approx 0.96[/tex]
Thus, a student who scores 725 has a 96th percentile rank.
Help with this math please
Answer:
The answer is -20 .
Step-by-step explanation:
You have to substitute x = -4 into the function :
[tex]f(x) = 3x - 8[/tex]
[tex]f( - 4) = 3( - 4) - 8[/tex]
[tex]f( - 4) = - 20[/tex]
Answer:
Step-by-step explanation:
f(x) = 3x - 8
f(-4) = 3*(-4) - 8
f(-4) = -12 - 8
f(-4) = - 20
-20 is what goes in the box.
Shawn makes bracelets using stone beads. He buys beads for $0.30 each. The wire used to make each bracelet costs $0.10.
a) Write an equation to find the cost (c) to make a bracelet with b beads.
b) one of shawn's popular bracelets, the Charmer, includes 15 stone beads. Another bracelet, the sparkler, uses 20 beads. how much does it cost to make each bracelet?
I have no idea how to do this!
The equation to find the cost (c) is C= 0.30b + 0.10.
The cost to make each bracelet is $10.70.
We have,
Shawn buy beads for $0.30 each.
The wire used to make each bracelet costs $0.10.
If C is the cost then the equation for the cost is
C = 0.30b + 0.10
where b is number of beads.
Now, Number of beads = 15 then cost is
C = 0.30(15) + 0.10 = $4.6
and, if number of beads is 20 then the cost is
C = 0.30(20)+ 0.10 = 6.1
Then, the total cost is = 4.6 + 6.1 = $10.7
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The period of is....
If you are right I will mark you brainliest.
Answer:
π/4
Step-by-step explanation:
What is the difference between m(x)=0 and m(0)?
Answer:
Line vs pointStep-by-step explanation:
The difference between m(x) = 0 and m(0) is
m(x) = 0 is the line overlapping with x-axis as for any value of x the value of m equals 0m(0)= 0 is the point on the same line overlapping with origin (0, 0)So the difference is line vs point on the same line
According to the High School Athletics Participation Survey, 55% of students enrolled in high school participate in athletic programs. Suppose 12 high school students are randomly selected and the number who participate in athletic programs is recorded. Round probabilities to 4 decimal places. 6.Explain why this is a binomial experiment
Answer:
The given experiment is binomial experiment
1. There are two outcomes classified as success or failure.
2. The probability of success remains fixed on each trial.
3. There are n fixed number of trial.
4. The trails are independent.
Step-by-step explanation:
The given experiment is binomial experiment because
1. There are two outcomes classified as success or failure. Here success is participating in athletic programs and failure is not participating in athletic programs.
2. The probability of success i.e. probability of participating in athletic programs 0.55 remains fixed on each trial.
3. There are n fixed number of trial i.e. 12.
4. The trails are independent i.e. students participates in athletic programs independently.
Question 2 (1 point)
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7
gallons of gas?
Answer:
63/3 m/7
Step-by-step explanation:
i dont have time to exlplain lol just trust
PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate
Answer:
C
Step-by-step explanation:
the unit rate is how much for one. so in the graph we can see that one serving is equal to 250 grams.
hope this helps :))
Mercury metal is poured into a graduated cylinder that holds exactly 22 ml. The mercury used to fill the cylinder weighs 308 g. From this information, calculate the density of mercury.
The density of mercury will be equal to 14 g/cm³.
It is given that the graduated cylinder holds exactly 22 ml and mercury used to fill the cylinder weighs 308 g.
We have to find out the density of the mercury.
What is the formula for density ?
The formula for density will be Density (D) = [tex]\frac{M}{V}[/tex] , where M is mass / weight of the object and V is the volume of the object.
As per the question ;
Graduated cylinder holds 22ml.
∵ 1 ml = 1 cc or cm³
So ,
The volume of graduated cylinder = 22 cm³
The weight of mercury = 308g
We know that ;
Density of mercury = Weight / Volume
⇒ Density of mercury = [tex]\frac{308}{22}[/tex]
⇒ Density of mercury = 14 g/cm³
Thus , the density of mercury will be equal to 14 g/cm³.
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A mí me (gustar) mucho el chocolate.
Fill in the blank with the correct
Answer:
I believe Gusta is the correct answer.
Step-by-step explanation:
Answer: it’s Gustaba
Step-by-step explanation: I took the test
Achange in temperature of 6°C is equivalent to a
change in temperature of
°F
Celsius
1
2
6
Fahrenheit
18
3.8
2
Math
the answer is 10.8.
Which of the following is a true statement? right answer gets brainliest
A. The absolute value of -13 is not equal to 13.
B. The absolute value of 13 is equal to the opposite of -13.
C. The absolute value of 13 is equal to the opposite of 13.
D. The absolute value of -13 is equal to the opposite of 13.
PLEASE!
Need HELP URGENT please
Answer: D
Step-by-step explanation: 3 is smaller than 4 and 4 is smaller than 6. And 3 is smaller than 5 and 5 is smaller 6
Please help really urgent I will do anything you want me to doooo!!! Pleaseeeee
Answer:
3
Step-by-step explanation:
the runners are running 5.6 miles mph
HELP IT'S DUE TONIGHT!!!!!
If a piece of steel 12 feet long weighs 168 pounds, how much will a piece of steel 20 feet long weigh?
Answer:
280lbs
Step-by-step explanation:
168/12=14
14×20=280
0.1 is 1/10 of what?
Answer:
1
Step-by-step explanation:
Help me out, please?
What’s the total amount Janet has to repay after three years?
Answer:
What are the number to find the amount I thin you're missing information
Step-by-step explanation:
Answer:
2,315.25
Step-by-step explanation:
A.
(0, -1)
B.
(1, 0)
C.
(0, 0)
D.
(1, -1)
what is the question you can't just give the options bruh
Which number is rational?
v2
pi
v10
v16
Answer:The square root of 16 is rational.
Step-by-step explanation:
Evaluate for a = -8, b = 7, c = -4, and d = 2.
a/b x b + ab
a divided by b times b plus a and b
how to solve -4p+(-6p)
Answer:
-10p
Step-by-step explanation:
-4p + (-6p)
Because both have a variable p, you can combine them. Both are negative so you get the equation:
-4p -6p
This would give you:
-10p
I hope that this helps! :)