Answers
Steps: 3, 2, 2, 1, 1.5, 2. Add together; 9.5
divide; 9.5 / 6 = 1.583333
round up to nearest tenth; 1.6
Explanation: To calculate average (also called “mean”), you have to add all the numbers together, and divide that number by how many numbers there were. ex: 5, 2, 7, 4, 2. First you would add the numbers together: 20. There were 5 numbers I added together; 20 / 5 = 4. The average would be four.
Related Questions
among all the computer chips produced by a certain factory, 6 percent are defective. a sample of 400 chips is selected for inspection. (a) what is the probability that this sample contains between 20 and 25 defective chips (including 20 and 25)? (b) suppose that each of 40 inspectors collects a sample of 400 chips. what is the prob- ability that at least 8 inspectors will find between 20 and 25 defective chips in their samples?
Answers
The number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.
The box contains 400 computer chips. Of these 400 chips 24 are defective and 376 are good.
A quality control inspector samples 2 computer chips.
The number of ways to select at least 8 defective chip is:
n (At least 8 defective chip) = n (1 defective chip) + n (2 defective chips)+n (3 defective chips)+n (4 defective chips)+n (5 defective chips)+n (6 defective chips)+n (7 defective chips)+n (8 defective chips)
The number of ways to select 1 defective chip is:24C1*400C1=24*400=9600 ways.
The number of ways to select 2 defective chips is: 24C2*400C0=276*1=276ways.
n (At least 1 defective chip) = n (1 defective chip) + n (2 defective chips)
= 9600+276
= 9876
Thus, the number of ways to select a sample of 2 computer chips so that at least one of the chips is defective is 9876 ways.
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If Jake can type approximately 25 words per minute, how long will it take him to type a 1,000 word paper
Answers
Answer
It'll take Jake 40 minutes to type the 1,000 word paper.
Explanation
Working at that same speed, let the number of minutes it will take Jake to type 1,000 word paper be x minutes.
25 words = 1 minute
1,000 words = x minutes
We can write a mathematical relationship for this by cross mutiplying
(25) (x) = (1,000) (1)
25x = 1,000
Divide both sides by 25
(25x/25) = (1,000/25)
x = 40 minutes
Hope this Helps!!!
Use the marginal tax rate chart to answer the question.
Determine the amount of taxes owed on a taxable income of $49,652.
•$4,735.38
•$6,600.44
•$7,709.92
•$10,293.44
Answers
The amount of taxes owed on a taxable income of $49,652 is 10,293.44.
what is Marginal tax rate?The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate. With a marginal tax rate of 10%, tax would be deducted from the following dollar of income at a rate of 10%.
For instance, if a person has a taxable income of $24,750, they will pay taxes on the first $19,900 of that income at a rate of 10%, and on the remaining $5,000 at a rate of 12%.
Given:
Income= $49652
The above amount lies in the range of 41176- 89075 which has tax rate pf 22%.
So, the amount of taxes
= 49652 x 22%
=49652 x 22/100
= 49652 x 0.22
= 10,293.44
Hence, the amount of taxes owed on a taxable income of $49,652 is 10,293.44.
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Answer:
$6,600.44
Step-by-step explanation:
$49,652 falls into the 22% bracket.
Basically you take the taxable amount from each bracket and then multiply each by the corresponding marginal tax rate.
Then we take the income $49,652 and subtract it by the maximum of the last tax bracket which would be $41,175.
$49,652 - $41,175 = $8,477.
Multiply this by 22% = 1,864.94 then add the other brackets' taxes owed which should total to $6,600.44
Find the greatest common factor of these two expressions.28x^2 y^8 u^4 and 16x^6 u^7
Answers
The two expressions are:
[tex]\begin{gathered} 28x^2y^8u^4 \\ \text{and } \\ 16x^6u^7 \end{gathered}[/tex]The greatest common factor of the two expressions is found below:
The greatest common factor of the two expressions is 4x²u⁴
Find the area of a circle with diameter of 8cm use the value 3.14 for pie and do not round awnser
Answers
The area of a circle with a radius r is given by the following formula:
[tex]A=\pi\cdot r^2[/tex]In this case we know that the diameter is 8cm which means that its radius is 4cm. Using 3.14 for pie we get:
[tex]\begin{gathered} A=3.14\cdot(4cm)^2 \\ A=3.14\cdot16cm^2=50.24cm^2 \end{gathered}[/tex]AnswerThen the answer is 50.24 cm².
A lorry travels at a speed of 45 km/h for 2 hours from factory P to factory Q. Then the lorry takes 30 minutes more for its return journey. Calculate the average speed.
Answers
40 Km/h will be the average speed of the lorry for the overall journey from factory P to Q and again from factory Q to P.
The distance between the factories can be calculated by the Speed-Time relation.
Total Distance = Total Speed x Total Time = 45Km x 2 = 90Km
To calculate the Average Speed, Total Distance and Total Time are the essential parameters.
Total Distance = 90 + 90 = 180Km
Total Time = 2 + 2.5 = 4.5h
As per the formula of Average speed:
Average speed = Total Distance/ Total Time
Average speed = 90+90Km / 4.5h
= 40Km/h
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What is the value of the expression 7z+8 when z=9
Answers
Answer:
si Noew
Step-by-step explanation:
no puede ser porque es muy esxtrqño
Write the time in the blank below
Answers
Answer: 6:30
Step-by-step explanation: every number you count by 5 and the short hand is the hour hand.
simplify the expression -1/2 + 1/6
Answers
The solution to the fraction -1/2 + 1/6 is -1/3
How to simplify the expression?The expression is given as
-1/2 + 1/6
Rewrite the terms of the expression as equivalent fractions
So, we have the following equation
-1/2 + 1/6 = -3/6 + 1/6
Take the LCM of the equation
So, we have the following equation
-1/2 + 1/6 = (-3 + 1)/6
Evaluate the sum
So, we have the following equation
-1/2 + 1/6 = -2/6
Simplify the quotient
-1/2 + 1/6 = -1/3
Hence, the value of the fraction is -1/3
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.question 9a data analyst is using statistical measures to get a better understanding of their data. what function can they use to determine how strongly related are two of the variables?
Answers
Planning, designing, gathering data, analyzing, creating relevant interpretations, and publishing the research findings are all statistical approaches that go into conducting a study.
The statistical analysis lends meaning to the abstract numbers, giving the data some life. Only when appropriate statistical tests are applied will the results and inferences be accurate. Science's field of statistics deals with gathering, organizing, analyzing, and extrapolating data from samples to the entire population. This necessitates the use of an acceptable statistical test, an adequate study design, and an appropriate study sample selection. However, if we want additional information about these, a consulting company may be able to assist us. we will benefit more from Silver Lake Consulting for our project.
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60% of a number is 66. Which proportion best represents this relationship?
Responses
66b =60100
Answers
Answer:
then answer is never going to give you up never going to let you down
6. A large community college has professors
and lecturers. The total number of faculty
members is 228. The school reported that
they had 5 professors for every 14 lecturers.
How many of each type of faculty member™
does the community college employ?
Answers
The College employee in total count will be 60 professors and 168 lecturers in the college community.
As given total number of faculty member in the school is 228.
Also we have information that for every 14 lecturers the college community has 5 professors counting ratio.
∴ Let's Combine the number of professor and number of lecturers and make one group as a set.
∴ Total of one set will be 5 + 14 = 19.
Now as we have total 228 members and we have the set value as 19 so we can find the total number of set that can be possible with the given members as follows [tex] \frac{228}{19} = 12 [/tex]
Hence total number of set will be 12.
As one set contains 5 number of professors so 12 sets will contain in total ( 12 * 5 ) = 60 number of professors.
As one set contains 14 number of lecturers so 12 sets will contain in total ( 12 * 14 ) = 168 number of lecturers .
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help me i don’t understand
Answers
Answer:
23cm
Step-by-step explanation:
in this case, you don't have to actually care both the 4 because it is not a side. whoever did that is trying to trick you. now you are left with 7cm,6cm, and 10cm.
10+6+7=23
(1 + 2)3 ÷ (2 + 1) =
Answers
Answer:
3
The answer is three cuase I did the math but it's hard to explain on here
There is a proportional relationship between gallons and pints.
A) What is the constant of proportionality to convert gallons to pints? Show your work and/or explain your reasoning.
explain pls
Answers
The constant of proportionality to convert gallons to pints given the information in the table is 8.
What is the constant of proportionality?The constant of proportionality is the ratio that equates to variables in a directly proportional relationship. A directly proportional relationship is a relationship where the two variables move in the same direction.
The equation for direct proportionality:
y = bx
where:
y = dependent variable = gallons b = constant of proportionalityx = independent variable = pints16 = 2b
b = 16/2 = 8
40 = 5b
b = 40 / 5 = 8
56 = 7b
b = 56 / 7 = 8
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A gambling game at a local carnival is played as follows: each time someone plays the game, he or she pays $3. A fair die is rolled, and if the die has an even roll (e.g. 2, 4, or 6), he or she wins nothing. If it is an odd roll, he or she wins the amount of money (in dollars on the face of the die—e.g. if he or she rolls a 1, he or she wins $1; a 3, he or she wins $3; a 5, he or she wins $5). The random variable [tex]X[/tex] represents the amount he or she wins per play of the game, not including how much he or she pays.
Part 1: Complete the given table.
Part 2: How much can someone expect to win on average per play of the game? Should he or she pay $3 to play this game? Why or why not?
Answers
Using a discrete probability distribution, it is found that:
1. The table is completed at the end of the answer.
2. The expected earnings for a single play of the game are of $1.5. Since $3 is greater than the average earnings, a person should not pay $3 to play this game.
What is the mean of a discrete distribution?The expected value, also called the mean, of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For this problem, we have that:
If it is an even roll, the person wins nothing. Out of 6 possible outcomes, 3 are even numbers, hence P(X = 0) = 3/6 = 1/2.If it is an odd roll, the person wins the amount played, hence P(X = 1) = P(X = 3) = P(X = 5) = 1/6.The table completed with these probabilities is given at the end of the answer.
Hence the expected earnings for the game are given as follows:
E(X) = 1/2 x 0 + 1/6 x (1 + 3 + 5) = $1.5.
If a person paid $3, the expected earnings would be of:
1.5 - 3 = -$1.5.
Negative earnings, hence the person should not pay $3 to play this game.
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The figure shows rectangle RSTW. Which of the following conditions satisfies the criteria for rectangles?
i cant upload image
a. m∠SRZ = 40°
b. m∠STZ = 40°
c. m∠SRW = 80°
d. m∠TWR = 80
Answers
The condition that satisfies the criteria for rectangles is
m∠SRZ=40°. Option A
This is further explained below.
What is the condition?Generally, The diagram illustrates the rectangle RSTW, which contains the angle RTW with a measurement of forty degrees.
1. The sides SR and TW are perpendicular to one another as opposed sides of the rectangle. Next, the angles SRZ and RTW are alternative inner angles. The alternative inner angles theorem states that because they are congruent, mSRZ must equal 40 degrees. This option should be selected.
2. The angles STZ and RTW are complimentary to one another (they sum up to 90 degrees), and then
m∠STZ=90°-40°=50°. This choice is not a valid option.
3. The SRW angle represents a right angle (in a rectangle all angles are right angles). According to the textbook definition of a right angle,
m∠SRW=90°. This choice is not a valid option.
4. Angle TWR is a right angle (in a rectangle all angles are right angles). According to the textbook definition of a right angle,
m∠TWR=90°. This choice is not a valid option.
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CQ attached
why is 2 a factor of all even numbers
Answers
Answer: an even number is divisible by 2, so that means it has 2 as a factor
Step-by-step explanation:
Answer:Two is a prime because it is divisible by only two and one.
Step-by-step explanation:
All the other even numbers are not prime because they are all divisible by two.
What is the slope of the line that passes through the points (10, 4) and (7, 3)?
Answers
Answer:
1/3
Step-by-step explanation:
You want to know the slope of the line through points (10, 4) and (7, 3).
Slope formulaThe slope of the line through two points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
ApplicationFor the given points, the slope is ...
m = (3 -4)/(7 -10) = -1/-3 = 1/3
The slope of the line is 1/3.
I have like 19 more to go I've only done one of the questions and I need help
Answers
Given data
The length of the square L = 25 in
Use the formula for the perimeter of a square below, to find the perimeter.
[tex]\begin{gathered} \text{Perimeter of a square = 4L} \\ =\text{ 4 x 25} \\ =100in \end{gathered}[/tex]Use the formula for the area of a square below, to find the area.
[tex]\begin{gathered} \text{Area of a square = L}^2 \\ =25^2 \\ =625in^2 \end{gathered}[/tex]The Patterson's bought a house for $154,500 and made a down payment of 15%. How much was the down payment
Answers
Answer:
.15 × $154,500 = $23,175 down payment
Given: GHIJ is a parallelogram.
HP = JQ PQ bisects GI
Prove: PX = QX
Hint: Use subtraction of the side lengths.
Answers
PX ≅ QX, as ΔGXP ≅ ΔIXQ is congruent by the AAS property.
Given, GHIJ is a parallelogram.
Given, HP ≅ JQ
GH ≅ JI, as both are on opposite sides it is a congruency property.
GP ≅ QI, the definition of congruency.
GP + PH ≅ JQ + QI, segment addition property.
∡PXG ≅ ∡ IXQ, vertical angles are congruent.
GH || JI, opposite sides are parallel
∠ PGH ≅ ∠QIX, alternate interior angles
PX ≅ QX, corresponding parts of congruent triangles are congruent.
ΔGXP ≅ ΔIXQ is congruent by the AAS property.
Therefore, PX ≅ QX
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Help me because i forgot everything :(
Answers
The graph that results from placing the coordinates on the graph is shown below.
Consequently, the graph's coordinates are (-1,1), (0,3), and (1,5)
How to solve linear equations on a graph?We graph both equations in the same coordinate system in order to visually solve a system of linear equations. The intersection of the two lines is where the system's answer will be found. The point where the two lines join is (-3, -4), which is where this equation system's solution lies.
There are 3 methods for graphing a linear equation:
1.displaying the graph of a linear equation using two points.
2.Use a linear equation's slope and y-intercept.
3.using a linear equation's x- and y-intercepts.
So we take 3 values to substitute in place of x like
-1,0,1
values of y we get are
1,3,5
Now placing the co ordinates on the graph we get the following graph,
Therefore, the co-ordinates constituting the graph are (-1,1), (0,3), (1,5)
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convert 45°20´ into second
Answers
Answer:
45 × 60'× 60'' + 30 × 60'' ( 1⁰ =60')
16200''+ 1800''= 18000''
I hope it wil be helpfull for you.
Answer:
163200 "
Step-by-step explanation:
45 ° 20 ' =
45 ° * 60 minutes/degree * 60 seconds/minute + 20' x 60 seconds/minute
= 45 * 60 * 60 + 20 * 60 = 163200 seconds
HELP!! // Your parents allow you to have Internet access on your cell phone as long as you prepay the bill. If your bill is $19.60 per week, how much would you have to save per day to pay the bill? Describe the process you use to solve the problem.
Answers
Answer: $2.80 a day
Step-by-step explanation:
you would need to save at least $2.80 a day, just take the total (19.60) and divide it by the number of days you have till its due, in this case a week (7 days) than divide. 19.20/7= 2.8
explain the strategy you used to sove this equation 3(5x-2)=3x+8-2x
Answers
Answer:
x = 1
Step-by-step explanation:
3(5x-2)=3x+8-2x
Apply the Distributive Property
15x - 6 3x+8 - 2x
Combine like terms
15x-6= x+8
Rearrange variables to the left side of the equation
15x-x=8+6
Combine like terms
14x 8+6
(I don't know if you want me to answer it)
a soft drink company holds a contest in which a prize may be revealed on the inside of the bottle cap. the probability that each bottle cap reveals a prize is 0.2 and winning is independent from one bottle to the next. what is the probability that a customer loses on their first two bottles and wins on their third bottle?
Answers
The probability that a customer loses on their first two bottles and wins on their third bottle is 0.968
What is probability?The likelihood of an event happening is gauged by probability.
The probability might be between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.
The chance of every event in a sample space is 1, overall.
∵ the customer can not win on first or second bottle i.e.
0.2×0.2×0.8 = 0.032
∴probability that a customer loses on their first two bottles and wins on their third bottle is given by:
= 1 - 0.032
= 0.968
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Tricia buys 18 apples for $27. The total cost, c, of the apples is proportional to the number of apples, a, that she buys. How much does one apple cost? Create an equation using c and a to represent the proportional relationship.
Answers
If Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
The cost of 18 apples = $27
Here we have to use unitary method to find the cost of one apple
The cost of one apple = 27/18
= $1.5
Consider the total cost of the apples as c and the number of apples she bought as a
Then the relationship will be
c ∝ a
c = ka
Here the k is the constant that will be the cost of one apple
The cost of one apple = $1.5
Then the relationship will be
c = 1.5a
Hence, if Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
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the average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds find the probability that the mean of the sample will be less than 200 pounds
Answers
The mean of the sample will be less than 200 pounds is .571 using standard deviation
What is standard deviation?
The standard deviation is a statistician's way of gauging how much a group of numbers can vary or be dispersed. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high.
Given that ,
mean = μ = 196
standard deviation = σ= 22
P(x < 200) = P((x - μ) / σ < (200 - 196) / 22)
= P(z < 0.18)
Using the standard normal.
P(x < 200) = 0.5714
Probability = 0.5714
Hence the Probability will be .571 using standard deviation
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MEDIDAS DE TENDENCIA
CENTRAL
Halla las medidas de tendencia central a cada situación y
completa su tabla de frecuencia.
1. Las edades de 9 estudiantes son:
Dato
Edad
6
7
9
6, 7, 9, 7, 9, 9, 9, 9, 7
Moda Mo=
Cantidad
Frecuencia
Media X =
Mediana Me=
Alguien q me ayude xfa lo necesito para hoy ;( se los agradecería enserio
Answers
Answer:
Step-by-step explanation:La media, mediana y moda de las edades de 9 estudiantes son 7,67, 9 y 9 respectivamente
Explicación paso a paso:
Medidas de Tendencia Central:
Moda: es el valor que mas se repite en la distribución
9 es el valor que mas se repite
Media: es el valor promedio de la distribución
μ = ΣXi*fi/n
μ = [3 + 7*3 + 9*5] /9
μ = 7,67
Mediana: es el valor de la posición central en un conjunto de datos ordenados
6 7 7 7 9 9 9 9 9
Mediana = 9