Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
question 41 pts the following are the ages of a sample of students: 14, 7, 8, 5, 6, 10, 13, 9 a. find the sample mean.b. find the sample standard deviation.
Given:-
Ages of sample students: 14, 7, 8, 5, 6, 10, 13, 9
Sample mean:-
The sample mean is a statistic obtained by calculating the arithmetic mean of the values of the variables in the sample.
Formula= \(\frac{Sum of Observations}{Number of Observations}\)
Here,
= \(\frac{14+7+8+5+6+10+13+9}{8}\)
=\(\frac{72}{8}\)
=9
So, sample mean is 9.
Sample standard deviation:-
If you've got got a population, take limitless samples of n size, and plot their manner in a histogram, you get a possibility distribution. That possibility distribution is what we name the sampling distribution of the suggest, and prefer every other distribution, it has its personal suggest and well known deviation.
Formula = \(\frac{sigma}{rootover of n}\)
sigma is standard deviation.
sigma= √\(\frac{summation of ( X- sample mean)^{2} }{n-1}\)
How many solutions does the system have?
8x+ 2y = 14
8x + 2y = 4
Choose 1 answer:
Exactly one solution
No solutions
Infinitely many solutions
Answer:
No solutions
Step-by-step explanation:
Subtract the two equations
8x+ 2y = 14
-8x - 2y =- 4
----------------------------
0 = 10
This is never true so there are no solutions
Answer:
No solutions
Step-by-step explanation:
I just did it on khan.
answer and I'll mark you as brainliest
Answer: 16 1/4
Step-by-step explanation:
6 1/2 * 2 1/2 = 16 1/4
ruben can paint 16 1/4 square meters in 2 1/2 hours.
Answer:
1. 16 1/4
madali lang yan pinsan
4+f=-10 solve equation
Answer:
f=-14
Step-by-step explanation:
subtract 4 on both sides
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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Please help me solve these 3 math problems
The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2) ∪ (-2, 2) ∪ (2, ∞).
The possible points that would lie on h(x) = x² - x + 1 are (3, 7).
True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.
What is a domain?In Mathematics, a domain is the set of all real numbers for which a particular function is defined.
From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;
Domain = (-∞, -2) ∪ (-2, 2) ∪ (2, ∞)
Domain = {x|x ≠ 2, -2}.
Next, we would determine possible x-value for the given quadratic function as follows;
h(x) = x² - x + 1
7 = x² - x + 1
7 - 1 = x² - x
6 = x² - x
x² - x - 6 = 0.
x² - 3x + 2x - 6 = 0.
x(x - 3) + 2(x - 3) = 0
(x + 2)(x - 3) = 0
x = 3 or x = -2.
For second quadratic function f(x) = -2(x + 1)² + 7, we have:
f(x) = -2(x + 1)² + 7
-1 = -2(1 + 1)² + 7
-1 = -2(2)² + 7
-1 = -8 + 7
-1 = -1 (True).
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Accrotime is a manufacturer of quartz crystal watches. Accrotime researchers have shown that the watches have an average life of 30 months before certain electronic components deteriorate, causing the watch to become unreliable. The standard deviation of watch lifetimes is 4 months, and the distribution of lifetimes is normal.
A. a) If Accrotime guarantees a full refund on any defective watch for 2 years after purchase, what percentage of total production will the company expect to replace? (Round your answer to two decimal places.)\
B. If Accrotime does not want to make refunds on more than 6% of the watches it makes, how long should the guarantee period be (to the nearest month
a) The percentage of total production will the company expect to replace is of 6.62%.
b) The guarantee period should be of 23 months.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for the duration of the watches are given as follows:
\(\mu = 30, \sigma = 4\)
The proportion of watches that will be replaced are those that last less than 2 years = 24 months, hence it is given by the p-value of Z when X = 24, as follows:
Z = (24 - 30)/4
Z = -1.5.
Z = -1.5 has a p-value of 0.0662.
Hence the percentage is of 6.62%.
For item b, the guarantee period should be the 6th percentile, which is X when Z = -1.555, hence:
-1.555 = (X - 30)/4
X - 30 = -1.555 x 4
X = 23 months.
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9. Which of the following functions represents a vertical shift of the function f(x) = x? a. f(x) = 2x b. f(x) = x + 5
c. f(x) = x2 d. none of the above 9.____________________
10. Which of the following functions represents a horizontal shift of the function f(x) = x2?
a. f(x) = (x+2)2 b.f(x) = 3x2
c. f(x) = x2 + 2 d. none of the above
b. f(x) = x + 5, which represents a vertical shift of 5 units upwards. f(x-a) = (x-a)^2, where a is a constant.
How to find the functions that represents a vertical shift9) The function f(x) = x represents a linear function with a slope of 1 and y-intercept of 0. To shift the graph vertically, we need to add or subtract a constant from the function. Thus, the function that represents a vertical shift of f(x) = x would be of the form f(x) = x + b, where b is a constant.
Out of the given options, the correct answer is b. f(x) = x + 5, which represents a vertical shift of 5 units upwards.
10) To shift the graph of f(x) = x^2 horizontally, we need to add or subtract a constant inside the function, affecting the position of the vertex of the parabola. Thus, the function that represents a horizontal shift of f(x) = x^2 would be of the form f(x-a) = (x-a)^2, where a is a constant.
Out of the given options, the correct answer is a. f(x) = (x+2)^2, which represents a horizontal shift of 2 units to the left.
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a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?
If a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B', then the current coordinates of B' are (3, -2).
As per the question statement, a translation of T (2, -7) is applied to the triangle ABC as shown in the figure attached hereby for reference, and B (1, 5) gets repositioned to B'.
We are required to calculate the coordinates of B'.
To solve this question, we need to know what Translation (a, b) to (x, y) and (-a, -b) to (x, y) means. Translation (a, b) to (x, y) means the abscissa "x" is to be shifted to the right by "a" units while the ordinate "y" is to be shifted to the right by "b" units, i.e., after translation, the new coordinates become [(a + x), (b + x)]. On the other hand, Translation (-a, -b) to (x, y) means the abscissa "x" is to be shifted to the left by "a" units while the ordinate "y" is to be shifted to the left by "b" units, i.e., after translation, the new coordinates become [(a - x), (b - x)].
Here, as per the above mentioned concept, a translation of T (2, -7) if applied to the point B (1, 5), the new point B' will be at \([(1+2), (5+(-7)]=[3, (-2)]\).
Translation: In Coordinate Geometry, a translation is a repositioning of a point or a figure from one location to another location without changing its size, shape or orientation.Coordinates: The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional coordinate plane by using the horizontal and vertical distances from the two reference axesTo learn more about Translation, click on the link below.
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Answer: D (3,-12)
Step-by-step explanation:
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
How much miles will the car use with 17 gallons of gas?
Answer:
from the graph we can see that
for 2 gallones - it can travell 70 miles
4 gallones - 140 miles
we will take the first case
2 gallones - 70 miles
17 gallones - ? miles
cross multiply
\( \frac{17 \times 70}{2} \)
= 595 miles
why is 2 × 3/4 less than 2
Answer:
becuase 2*3 is 6, and 2*4 is 8, and when you simplfy it is 1 and 1/2, which in decimal form is 1.5, making it less than 2
Answer:
Is 2/4 smaller than 2/3? These are the same questions with one answer.
To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below:
2/4 = 0.5
2/3 = 0.667
Then, we compare the two decimal numbers to get the answer.
0.5 is less than 0.667.
Therefore, 2/4 is less than 2/3 and the answer to the question "Is 2/4 less than 2/3?" is yes.
i think this will help
I need help on number 6 cuz I’m saying it’s F while my friend is saying that it’s H ♀️
Answer: You are correct, the answer if F. If I got it correct, can you please tell me?
put equation in conic form
Answer:
I'm happy to help you put an equation in conic form, but you haven't provided an equation to work with. Please provide the equation and I'll do my best to assist you.
1/2 times 4 /please answer for me :)
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
Which function represents a reflection of f(x) = 3/8 (4)^x across the y-axis?
A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).
This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:
(x, y) → (-x, y).
\(f(x) = \frac{3}{8} (4)^x\) → \(g(x) = \frac{3}{8} (4)^{-x}\)
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Does the given matrix, A, have an inverse? If it does, what is A-¹? (1 point)
The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.
The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.
Inverse of matrix:
A^(-1)=Adj A/|A|
A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2 matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.
There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.
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(0,10)(2,6) form( y=Mx+b)
Answer:
y=-2x+10
Step-by-step explanation:
The y-int is 10, you can tell from the coordinate (0,10)
The slope would be -2 when you use the slope formula for both coordinates
hope this helps
Calculate the area of a circle with a radius of 5 meters
Use the number line below, where RS = 7y +3, ST = 5y +8, and RT = 83.
a. What is the value of y?
b. Find RS and ST
a. What is the value of y?
Answer:
Step-by-step explanation:
Given the vectors based on the number line as RS = 7y +3, ST = 5y +8, and RT = 83, the equation RS+ST = RT will be used to get the unknown.
Substituting the given equation into the expression we will have;
7y +3+5y +8 = 83
collect like terms'
7y+5y+3+8 = 83
12y + 11 = 83
12y = 83-11
12y = 72
y = 72/12
y = 6
b) Substitute y = 6 into RS and ST
Given RS = 7y+3
RS = 7(6)+3
RS = 42+3
RS = 45
For ST;
ST = 5y+8
ST = 5(6)+8
ST = 30+8
ST = 38
You pick a marble, roll a die, and pick a card. How many outcomes are possible?
The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
How to determine How many outcomes are possibleTo determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.
1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.
2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.
3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.
To find the total number of possible outcomes, we multiply the number of outcomes for each event together:
Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)
Total number of outcomes = n × 6 × 52
Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.
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Which is misleading about the data shown on the figure?
Number of members
Look at the photo
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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The population of a city is modeled by the equation P(t)=244,115e0.1t
where t
is measured in years. If the city continues to grow at this rate, how many years will it take for the population to reach one million?
The number of years it will take the population of the city to reach 1million is 14.1 years
What is exponential function?Exponential function, in mathematics, a relation of the form y = ax, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.
1000000 = 10⁶
10⁶ = P(t)
10⁶ = 244115e0.1t
10⁶/244115 = 0.1t
e0.1t = 4.096
ln0.1t = ln 4.096
0.1t = 1.41
t = 1.41/0.1
t = 14.1 years
therefore the years it will take the city to be populated with 1million is 14.1 years
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Can I get help with this question?
Answer:
h well jskkkskwlejsjnekekwpwkqiwjeuehwiwnwoqmwlkwkwke just trying to get pinots. sorry
Please help me! I give brainly and points
Answer:
3.5
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation: In this scenario, the vertex would be the peak of the baseball throw. We can find the x value of the vertex by using -b/2a. With your equation of 112x-16x^2 we need to change the x^2 value to the front to make it -16x^+112x so that it is in standard form. Now take your b value (112), make it negative (-112), and divide that by 2 times -16. to get 3.5.
I should also include that the x value of the vertex is equal to t which is seconds.
someone help i really need help with this
Answer:
29
Step-by-step explanation:
she spends $75 on the gift cards, which brings the total down to $175 which is how much money she has left. She then spends $123.5 on the 13 movie passes, she is then left with $51.5 to spend. Then you divide 51.5 by 1.75 to get 29.4 and rounds down to 29.
Simplify the expression.
3.1-5.3n-3n+8
Answer:
-8.3n+11.1
Step-by-step explanation:
Hope this helps please mark brainliest it means a lot to my progression!
Answer:
The expression simplified is -8.3n +11.1
Step-by-step explanation:
Factor the quadratic expression x2-19x+88 (x+__)(x+__) ^ Where the answer would go
Answer:
(x+8)(x+11)
Step-by-step explanation:
When you factor a quadratic by the form:
\(x^{2} + bx + c\)
you are looking for two numbers, 'q' and 'r', which ADD to 'b' and MULTIPLY to 'c'.
In this case, some example numbers that multiply to 88 are:
±1, ±2, ±4, ±8, ±11, ±44, ±88.
Since they must add to 19, then you can figure out through some trial and error that the numbers are 8 and 11.
8*11 = 88
8+11 = 19
So, the answer is (x+8)(x+11)
Priya and Mai each made a batch of grape fizz. Priya mixed 3 scoops lot grape-flavored powder with & cups ot water. Mai mixed 4 Scoop of grape-flavored powder
Create a table that shows two additional different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture.
Create a table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture.
How do Priya's and Mai's mixtures compare in taste? Explain your thinking
The table that shows two additional different amounts of powder and water that will make grape fizz that tastes the same as Mai's mixture is shown below,
Scoops of water = 4, 8, 12, 16, 20, 24
Cups of water = 1, 2, 3, 4, 5, 6.
What is ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Given:
Priya mixed 3 scoops lot grape-flavored powder with & cups of water, Mai mixed 4 Scoop of grape-flavored powder,
Calculate the ratio of the powder and water mixed by Priya as shown below,
The ratio of the powder and water = scoops of powder / cups of water
The ratio of the powder and water = 3 / 1
Calculate the ratio of the powder and water mixed by Mai as shown below,
The ratio of the powder and water = 4 / 1
The table shows different mixtures of powder and water that will make grape fizz that tastes the same as Priya's mixture is shown below,
Scoops of water = 3, 6, 9, 12, 15, 18
Cups of water = 1, 2, 3, 4, 5, 6.
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the measures of ABD is (0.2x+52) and the measures of CBD is (0.2x+42) find the value of x
The value of x in the triangle is determined as 45.
What is the value of x?The value of x in the triangle is calculated by applying the following formula,.
The measure of angle ABD = 0.2x + 52
The measure of angle CBD = 0.2x + 42
From the diagram, we can set-up the following equations;
x + 16 = 0.2x + 52
Simplify the equation above, by collecting similar terms;
x - 0.2x = 52 - 16
0.8x = 36
Divide both sides of the equation by " 0.8 "
0.8x / 0.8 = 36/0.8
x = 45
Thus, the value of x in the triangle is calculated by equating the appropriate values to each other.
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