Answer:1 1/6
Step-by-step explanation:
Scott collects hats. He has 65 hats an plans on buying 80 per year.
1. Write an equation that represents the total number of hats collected?
2. When will he have 465 hats?
3. How many will he have in 10 years?
Answer:
80x+65 2.465 3.865
Step-by-step explanation:
x being the number of years so in ten years he will have 80x10=800+65=865
80x5=400+65=465 so 5 is the number of years it would take
and i do not understand number 1 but i put a formula just in case that was it
To help determine the roots of x =tan(x), graph y = x and y = tan(x), and look at the intersection points of the two curves. (a) Find the smallest nonzero positive root of x = tan(x), with an accuracy of E=0.0001. Note: The desired root is greater than 1/2. (b) Solve x =tan(x) for the root that is closest to x = 100.
(a) the root of the equation is =4.4.(b) x=31pi for x=100 approx.
the root of an equation is said to be that value where the equation gets zero. And the intersection point of two equations is the same value of equations.
The roots of x =tan(x), graph y = x and y = tan(x), and look at the intersection points of the two curves.
a) Find the smallest nonzero positive root of x = tan(x),
after seeing the graph the root of the equation is =4.4.
(The desired root is greater than pi/2).
b) Solve x =tan(x) for the root that is closest to x = 100.
after examining the graph of the function we can see that 31pi for x=100 approximately.
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A researcher wants to determine the sample size necessary to adequately conduct a study to estimate the population mean to within 5 points. The range of population values is 80 and the researcher plans to use a 90% level of confidence. The sample size should be at least
The researcher needs at least 67 participants in the sample size to adequately conduct a study to estimate the population mean to within 5 points at a 90% level of confidence. The sample size is an essential part of any research study. The sample size is the number of participants or observations in the study.
To estimate the sample size, we should use the following formula:
N = (Z² * s²) / E²
Where: N = Sample Size, Z = Z-score (z-score for a 90% confidence level is 1.645), s = Standard deviation, E = Margin of error (We have 5 points or 0.05 in decimal form)
Now, we will calculate the Standard deviation which is the square root of the variance. The variance is obtained by dividing the population range by 4. It's 80/4 = 20s = √20 = 4.47
Plugging in these values to the above formula: N = (1.645² * 4.47²) / 0.05²
N = 66.7 ≈ 67
Therefore, the researcher needs at least 67 participants in the sample size to adequately conduct a study to estimate the population mean to within 5 points at a 90% level of confidence. The sample size is an essential part of any research study. The sample size is the number of participants or observations in the study. A sample is taken from the population because it's usually impossible to collect data from the entire population. The sample size must be adequately determined to produce accurate results and avoid errors that may affect the study's validity. A larger sample size is more representative of the population, and it minimizes the effect of random errors. However, a sample that is too large can lead to waste of resources, time, and money. Therefore, researchers determine the sample size required based on various factors, including the population's size, variability of the data, the level of confidence desired, and the margin of error. The formula for calculating the sample size is N = (Z² * s²) / E², where N is the sample size, Z is the Z-score, s is the standard deviation, and E is the margin of error.
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15^6*8^8(9)^8 what is it
Answer:
8.2263565e+21
Step-by-step explanation:
im smart
find the value of x
m<2 = 9x - 1
Answer: x=9
Step-by-step explanation:
The bottom triangle that has a 40° is an isosceles triangle, therefore the other angle at the bottom right is also 40°. This leaves the top angle to be 100°.
180=40+40+x
180=80+x
x=100
Now, to find ∠2, you can tell it is a supplementary angle. Therefore, the 2 angles add up to 180°
180-100=∠2
80°=∠2
The problem states that ∠2 is 9x-1. We know that ∠2 is 80°. We can solve for x.
80=9x-1
81=9x
x=9
A small town's phone numbers either begin 373 or 377. How many phone numbers are available? A. 20,000. B. 10,000 C. 30,000 D. 40,000
The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.
We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.
The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.
Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.
Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377
Total number of phone numbers = 10000 + 10000
Total number of phone numbers = 20000
Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.
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Kaylee surveyed 920 of the students in her school about their favorite color. 95% said
their favorite color was blue. How many students' favorite color was blue?
Answer:
x = 874
Step-by-step explanation
Set up your equation like this: Part/whole = percent/100
Assign the variable x to the unknown part of the equation and add in the known numbers:
So in this situation it would be: x/920 = 95/100
Solve for x:
100 times X = 920 times 95. (cross multiply)
That leaves you with 100x = 87,400
Divide both sides by 100:
x = 874
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
nequals=7
pequals=0.65 xequals=6
(Do not round until the final answer. Then round to four decimal places as needed.)
The probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:
P(x) = (n choose x) * p^x * (1-p)^(n-x)
where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:
(n choose x) = n! / (x! * (n-x)!)
So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:
P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
= 7 * 0.65^6 * 0.35^1
= 0.3052
Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
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PLEASE HELP SOLVE FOR SURFACE AREA!!!
Answer:
4 x 4 = 16, 16 divided by 2 ( x 1/2 ) = 8
8 x 2 = 16(area of two triangles)
8 x 4 = 32(area of base below)
5.7 x 8 = 45.6 (area of slant)
4 x 8 = 32(area of the rectangle behind the figure)
Add all the given areas:
16 + 32 + 45.6 + 32 = 125.6 in^2 is your answer
A theme park has a ride that is located in a cylinder with a height of 12 yards. The ride goes around the outside of the cylinder, which has a circumference of 514.35 yards. What is the surface area of the cylinder? Estimate to the nearest hundredth, using 3.14 for pi. Apply the formula for surface area of a cylinder.
1.How will you determine the center and radius given the equation of the circle
in standard form? in general form?
2.How will you determine the equation of the circle given the center and radius ?
Answer:
Step-by-step explanation:
Circle Standard Form
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
XY
Y
a. (1, 1) and (7,5)
The slope of the line that passes through (1, 1) and (7, 5) is 2/3
How to calculate the slope of the line?From the question, the points are given as
a. (1, 1) and (7,5)
Rewrite the above points properly
So, we have the following ordered pairs
(1, 1) and (7,5)
The slope of the line is then calculated using the following slope equation
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (1, 1) and (7,5)
Substitute the known values in the above equation
So, we have the following equation
Slope = (5 - 1)/(7 - 1)
Evaluate
Slope = 2/3
Hence, the slope of the line is 2/3
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Possible question
Find the slope of the line that passes through a. (1, 1) and (7,5)
Consider a single spin of the spinner. a spinner contains 4 equal sections: 1, 2, 4 and 3. sections 1 and 4 are shaded. the spinner is pointed at number 2. which events are mutually exclusive? select two options.
To determine which events are mutually exclusive, we need to identify the events that cannot occur at the same time.
The options for the events are: Landing on a shaded section Landing on an even number Landing on an odd number Landing on a section that is not shaded Now let's analyze the options Landing on a shaded section (1 or 4) and landing on an even number (2 or 4) are mutually exclusive, as they cannot occur at the same time.
Landing on a shaded section (1 or 4) and landing on an odd number (1 or 3) are not mutually exclusive, as they can occur at the same time if the spinner lands on section 1. The mutually exclusive events in this scenario are: Landing on a shaded section Landing on an even number
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From the given information, the two mutually exclusive events are:
1. Landing on a shaded section (sections 1 or 4)
2. Landing on an even number (sections 2 or 4)
Therefore, these are the two options that are mutually exclusive based on the spinner's configuration.
The term "mutually exclusive" refers to events that cannot occur at the same time. In this case, we need to determine which events on the spinner are mutually exclusive given the information provided.
To start, let's list the numbers on the spinner: 1, 2, 4, and 3. We are told that sections 1 and 4 are shaded, and the spinner is pointed at number 2.
Event 1: Landing on a shaded section.
This event includes landing on either section 1 or section 4. Since these sections are shaded, they cannot occur simultaneously with any other section on the spinner.
Event 2: Landing on an odd number.
This event includes landing on either section 1 or section 3. These sections are mutually exclusive with the even numbers, which are 2 and 4.
Event 3: Landing on a multiple of 4.
This event includes landing on section 4. Since section 4 is shaded, it cannot occur simultaneously with any other section on the spinner.
Event 4: Landing on an even number.
This event includes landing on either section 2 or section 4. These sections are mutually exclusive with the odd numbers, which are 1 and 3.
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What is the y-intercept of the line y=20x+30
Answer:
30
Step-by-step explanation:
What is the secret to sparing Undyne in undertale?
need it quick cause im playin it right now
Answer:
hahahahahaha uh
Step-by-step explanation:
I think you just keep pressing spare until she lets you go i think--
Answer:
DONT SPARE
Challenge if you want a challenge Plead if you dont.
Then when your soul turns red spare and start running
Step-by-step explanation:
Use the drawing tools to form the correct answer on the provided graph
Write an equation for a line using (-3,8) and (-2,2) use either point slope of slope intercept
An amusement park sold 15 child tickets. The other 35 tickets it sold were
adult tickets. What is the ratio of the number of adult tickets to the number of
child tickets?
Answer:
3 : 7
Step-by-step explanation:
RatioRatios are Proportinalised Numbers that we can use to compare number of units relative to the other value.
Eg. 3 : 15 = 1 : 5
SolutionGiven Information from the Question:
15 Child Tickets : 35 Adult Tickets
Now we reduce them to simplest form.
(15 ÷ 5) : (35 ÷ 5) = 3 : 7.
Therefore the ratio of Child Tickets to Adult Tickets is 3 : 7.
Choose the statement that best defines the term "experiment" in the context of probability.a) A process that leads to only one of several possible outcomes.b) A random trial whose outcome can be predicted on the basis of mathematical analysis.c) A process that may or may not confirm a hypothesis.
The statement that best defines the term "experiment" in the context of probability is (a) "A process that leads to only one of several possible outcomes."
An experiment is a process that is carried out to observe and study the outcome of an event or phenomenon. In probability, an experiment refers to a process that can have multiple outcomes, and the outcome cannot be predicted with certainty before the experiment is carried out.
For example, rolling a dice is an experiment in probability since it has multiple possible outcomes (rolling a 1, 2, 3, 4, 5, or 6) and the outcome cannot be predicted with certainty. Similarly, flipping a coin is also an experiment in probability since it can have two possible outcomes (heads or tails) and the outcome cannot be predicted with certainty.
On the other hand, option (b) is incorrect since a random trial whose outcome can be predicted on the basis of mathematical analysis is not an experiment but a deterministic process. Option (c) is also incorrect since a process that may or may not confirm a hypothesis does not define an experiment in the context of probability.
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how much is a 1 gallon to litre?
The gallon is a unit of volume that represents the capacity of a liquid in both conventional and US imperial systems of measurement. 1 gallon is defined as 4.54609 liters.
Gallon:
The gallon is a common unit of volume in both English and US customary units. There are three types of gallons in use today: Imperial Gallon, US Gallon, and US Dry Gallon. There are 4 quarts in a gallon, for a total of 8 pints, and each system has a different volume.
Current use of the imperial gallon as of 2021 is still used as the standard unit of petrol in four British overseas territories. It is also the standard unit of measure for six countries: Antigua and Barbuda, Grenada and Saint Lucia.
Liter:
A liter is a metric unit of volume. A liter costs 1/1000 of a cubic meter. The liter was used as the base unit of the basic French metric system. 1 liter is the volume of a cube, i.e. 10 cm x 10 cm x 10 cm, so 1 liter = 1000 cm3 and 1 liter = 0. 2641720524 gallons.
This unit of volume can be used in the International System of Units even though it is not an SI unit. Current use of liters . The liters are primarily used for pourable items (these items can be solid or liquid). These items are measured by the size or capacity of the container. It is also used to measure non-liquid volumes such as backpacks, car trunks, etc.
Formula for Converting Gallons to liters
The formula for converting 1 gallon of water in liters is :
Liter = Gallon x 3.785411784
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Find the area of the region enclosed by the curves. 10 X= = 2y² +12y + 19 X = - 4y - 10 2 y=-3 5 y=-2 Set up Will you use integration with respect to x or y?
The area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10 is 174/3 units².
To find the area of the region enclosed by the curves 10x=2y²+12y+19 and x=-4y-10, we need to solve this problem in the following way:
Since the curves are already in the form of x = f(y), we need to use vertical strips to find the area.
So, the integral for the area of the region is given by:
A = ∫a b [x₂(y) - x₁(y)] dy
Here, x₂(y) = 10 - 2y² - 12y - 19/5 = - 2y² - 12y + 1/2 and x₁(y) = -4y - 10
So,
A = ∫(-3)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy + ∫(-2)⁻²[(-2y² - 12y + 1/2) - (-4y - 10)] dy
=> A = ∫(-3)⁻²[2y² + 8y - 19/2] dy + ∫(-2)⁻²[2y² + 8y - 19/2] dy
=> A = [(2/3)y³ + 4y² - (19/2)y]₋³ - [(2/3)y³ + 4y² - (19/2)y]₋² | from y = -3 to -2
=> A = [(2/3)(-2)³ + 4(-2)² - (19/2)(-2)] - [(2/3)(-3)³ + 4(-3)² - (19/2)(-3)]
=> A = 174/3
Hence, the area of the region enclosed by the curves is 174/3 units².
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6.Given f(x) = x² + x and h(x) = 2x² + 2x - 18
find the values of x such that f(x) = h(-x)
7.Given p(x) = (x + 3)² and q(x) = x - 3
find the values of x such that p(2x) = q(-x) + 2
8.Given g(x) = √2x + 1 and h(x) = x - 1
find the values of x such that g(x + 1) = h(x) + 1
6. The values of x such that f(x) = h(-x) are x = -4.77 and x = 3.77
7. The values of x such that p(2x) = q(-x) + 2 are x = -2 and x = -1.25
8. The value of x such that g(x + 1) = h(x) + 1 is x = 4.24
6. Finding the values of x such that f(x) = h(-x)Given the functions f(x) and g(x)
f(x) = x² + x and h(x) = 2x² + 2x - 18
So, we have
h(-x) = 2x² - 2x - 18
f(x) = h(-x)
So, we have
x² + x = 2x² + 2x - 18
When evaluated, we have
x = -4.77 and x = 3.77
7. Finding the values of x such that p(2x) = q(-x) + 2Given the functions p(x) and q(x)
p(x) = (x + 3)² and q(x) = x - 3
So, we have
p(2x) = (2x + 3)²
q(-x) = -x - 3
So, we have
(2x + 3)² = -x - 3 + 2
Evaluate the like terms
(2x + 3)² = -x - 1
When evaluated, we have
x = -2 and x = -1.25
8. Finding the values of x such that g(x + 1) = h(x) + 1Given the functions h(x) and g(x)
g(x) = √2x + 1 and h(x) = x - 1
So, we have
g(x + 1) = √2(x + 1) + 1
h(x + 1) = x - 1 + 1
So, we have
√(2(x + 1)) + 1 = x
When evaluated, we have
x = 4.24
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Suppose G={−5,−3,0,3,5} and J={0,1,3,5,7}. Which set represents G∩J?
{−5,−3,0,1,3,5,7}
{0,1,3,5}
{0,3,5}
{−5,−3}
Answer:
{0,3,5}
Step-by-step explanation:
∩ means "and" so u would want to find out the numbers that repeat in both sets, this is correct in this situation.
The intersection of sets G and J are {0,3,5} is the correct answer.
What is intersection of sets?The intersection of two sets A and B is the set of all those elements which are common to both A and B. It is symbolically represented as A ∩ B.
For the given situation,
The sets are
G = {−5,−3,0,3,5}
J = {0,1,3,5,7}
The intersection of the set G and J, the common elements are
G ∩ J = { \({0,3,5}\) }
Hence we can conclude that the intersection of sets G and J are {0,3,5} is the correct answer.
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HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
The points (5, -5) and (7,r) lie on a line with slope - 1. Find the missing coordinate r.
Answer:
r = -7
Step-by-step explanation:
Slope = Change in y/Change in x
-1 = r - (-5) / 7 - 5
-1 = r + 5/ 2
-2 = r + 5
r = -7
-Chetan K
An \( \bar{X} \) chart is used to track a process with binary outcome variables. True or False
The reasons for holding inventory include all the following EXCEPT Multiple Choice it serves as a buffer
The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.
An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.
Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.
Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.
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On a grocery store shelf, there are 16 loaves of white bread and 24 loaves of wheat bread. A shopper randomly selects a loaf of bread.
What is the PROBABILITY it is WHEAT
Round to the NEAREST PERCENT!
Answer:
60%
Step-by-step explanation:
16 loaves of white bread and 24 loaves of wheat bread. = 40 loaves of bread
P( wheat) = number of wheat/ total
= 24/40
=.6
=60%
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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I NEEDS HELP WITH THIS
Answer:
you answer will be ∠JKH=129°
Step-by-step explanation:
hope it helps..
have a great day!!
ASSIGN #1: Object A is moving 12 feet per second (ft/sec). Object B is moving 5 miles per
R.A. hour (mila/hr). Which object is moving faster
According to the given statement;
object A is moving faster by 8.184-5= 3.184
3.184 mph faster.
What is speed?The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed only has a direction and no magnitude, it is a scalar quantity.
The most crucial scientific concept is measurement. Base or physical fundamental units are used to measure a wide range of measurable quantities. One such measurable quantity is speed, which calculates the ratio between the distance an object travels and the time needed to cover that distance. Let's explore speed in-depth in this session.
According to the given valus;
Speed of object A = 12 ft per sec
I foot per second = 0.682 mph
12 ft per sec = 0.682x 12
= 8.184 mph
object В speed = 5 mph
object A is moving faster than B.
object A is moving faster by 8.184-5= 3.184
3.184 mph faster.
Hence,object A is moving faster than B by 3.184 mph.
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