Answer:
$66
Step-by-step explanation:
that's the answer I thinkkkk
The graph below shows the time Andrea spent reading one day. Write a few sentences to describe the relationship between the time Andrea spent reading and the number of pages she read.
Answer:
the more pages she read, the more time she read for.
Step-by-step explanation:
Determine the point that is 1/3 of the distance from (-4.5, 0) to (0, 9)
The coordinate of the points that divides the line into the given ratio is (-3.375, 2.25)
The given parameters;
(-4.5, 0) and (0, 9)
the ratio of the line m:n = 1:3
The coordinate of the points that divides the line in the given ratio is calculated as;
\((x, y) = \frac{mx_1 + nx_2}{m+n} , \frac{my_1 + ny_2}{m+ n}\)
Substitute the given values and determine the coordinate of the new points;
\((x, y) =\frac{3(-4.5) + 1 (0)}{3+1} , \frac{3(0) + 1 (9)}{3+1} \\\\(x, y) = (-3.375, \ 2.25)\)
Thus, the coordinate of the points that divides the line into the given ratio is (-3.375, 2.25)
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what is 9 1/3cm + 21cm + 7cm
Answer:
37 1/3 cm
Step-by-step explanation:
21 + 7 = 28
28 + 9 = 37
37 + 1/3 = 37 1/3
Imagine some cosmic catastrophe that jolts earth so that it is no longer tilted. instead, its axis is perpendicular to the line between the sun and earth. the most predictable effect of this change would be
The most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the absence of seasonal variations.
The tilt of Earth's axis is what causes the change in seasons as different parts of the planet receive varying amounts of sunlight throughout the year. If Earth's axis were to become perpendicular to the line between the Sun and Earth, the planet would no longer experience these seasonal variations. This means that the climate would become more consistent throughout the year, with less temperature variation between different regions. Without the tilt, the equator would receive the same amount of sunlight year-round, leading to a relatively stable climate with minimal temperature fluctuations. The regions closer to the poles, which currently experience more pronounced seasons, would see a reduction in temperature extremes.
Additionally, the absence of a tilted axis would also affect the length of daylight hours. Currently, as Earth orbits the Sun, different parts of the planet experience longer or shorter days. However, with a perpendicular axis, there would be equal amounts of daylight and darkness across all latitudes throughout the year. This would have significant implications for ecosystems, as organisms rely on daylight and darkness cues for various biological processes such as migration, reproduction, and growth.
Overall, the most predictable effect of Earth's axis being perpendicular to the line between the Sun and Earth would be the loss of seasonal variations and the establishment of a more consistent climate throughout the year, with equal daylight hours across all latitudes.
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Which box plot represents the data above?
W.
X.
Y.
Z.
Answer:
where's the data
Step-by-step explanation:
If r is the position vector (with components x1, x2, x3) and v is any vector, show that
The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.
How can we show that the dot product of the position vector r and the vector v is equal to the sum of the products of their corresponding components?The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:
r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)
= (x1*a) + (x2*b) + (x3*c)
Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.
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A group of physical education majors was discussing the height of female runners and whether female runners tended to be tall, on the average. They decided to estimate the mean height of female runners. A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches. Assume the population is approximately normal. Construct a 90% confidence interval for the mean of the population of female runners from which the 12 runners were selected.a) What is the left boundary of the confidence interval? Round your answers to two decimal placesb) What is the right boundary of the 90% confidence interval? Round your answers to two decimal places
Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.
a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.
The left boundary of the confidence interval is:
65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)
b) The right boundary of the confidence interval is:
65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)
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Arianna squared a number, n, and then multiplied the number by 4. She multiplied a second number, s, by –8 and added the two products. Derrick squared the first number, n, and then multiplied the number by –6. He multiplied the second number by 14 and added the products. Arianna and Derrick added their results. Which of the following represents Arianna's and Derrick's sum?
Answer:
Step-by-step explanation:
A fundamental identity involving the renewal function, valid for all renewal processes,
is
E
WN(t)+1
= E [X1] (M(t) + 1).
Evaluate the left side when the renewal counting process is a Poisson process. Please calculate
E
WN(t)+1
in details.
(ii)(5pt) A system is subject to failures. Each failure requires a repair time that is exponentially
distributed with rate parameter α. The operating time of the system until the next failure is
exponentially distributed with rate parameter β. The repair times and the operating times are all
statistically independent. Suppose that the system is operating at time 0 . Using refined renewal
theorem, determine an approximate expression for the mean number of failures up to time t, the
approximation holing for large t (t 0)
In the given problem, we are asked to evaluate the left side of a fundamental identity involving the renewal function, specifically E[WN(t)+1], when the renewal counting process is a Poisson process.
We areare asked to use the refined renewal theorem to determine an approximate expression for the mean number of failures up to time t in a system subject to failures and repairs.
1 Evaluation of E[WN(t)+1] for a Poisson process:
In a Poisson process, the interarrival times between events follow an exponential distribution. The renewal counting process in a Poisson process counts the number of events that occur up to time t. Since the interarrival times are exponentially distributed, the waiting time until the next event is also exponentially distributed. Using the properties of the exponential distribution, we can calculate the expected value of the waiting time until the next event, which is E[X1]. Therefore,the left side of the identity becomes E[WN(t)+1] = E[X1] * (M(t) + 1), where M(t) represents the number of events up to time t in the renewal process.
2 Approximation for the mean number of failures using the refined renewal theorem:
The refined renewal theorem states that for large values of t, the mean number of events (in this case, failures) up to time t can be approximated by dividing the total operating time by the mean time between failures. In the given system, the operating times between failures follow an exponential distribution with rate parameter β. Therefore, the mean time between failures is given by 1/β. By dividing the total operating time up to time t by the mean time between failures, we can approximate the mean number of failures up to time t.
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What would the area of a pentagon be if the Apothem is 3 square root 2
I WILL GIVE BRAINLIEST
The formula for the area of a regular pentagon is:
A = (1/2)Pa
where A is the area of the pentagon, P is the perimeter of the pentagon, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).
If the apothem of the pentagon is 3√2, then we need to know the perimeter of the pentagon in order to calculate its area.
Unfortunately, the apothem alone is not enough information to determine the perimeter of a pentagon. However, if we assume that the pentagon is regular, then we know that all of its sides and angles are equal, and we can use the following formula to find its perimeter:
P = 5s
where P is the perimeter and s is the length of a side.
To find the length of a side, we can use the fact that the apothem is perpendicular to a side and bisects it. This means that the triangle formed by the apothem, half a side, and the center of the pentagon is a right triangle. The hypotenuse of this triangle is the length of a side, and the legs are half a side and the apothem:
s/2 = 3√2
s = 6√2
Now we can use the equation for the perimeter of a pentagon:
P = 5s = 5(6√2) = 30√2
Finally, we can use the formula for the area of a regular pentagon:
A = (1/2)Pa = (1/2)(30√2)(3√2) = 45
Therefore, the area of the pentagon is 45 square units, assuming that it is a regular pentagon with an apothem of 3√2.
5. draw a graph of the function using the input-outpit table.
ignore question 6.
The graph of the quadratic function y = x² is given by the image presented at the end of the answer.
How to classify a function as linear or non-linear?A function is classified as linear if it has a constant rate of change, and non-linear otherwise.
For linear functions, the highest exponent of the function is of one.
From the table, we get that the output of each of the three inputs is the square of the input, hence the function rule is given as follows:
y = x².
Which is a nonlinear function, as the highest exponent of the function is of two.
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1) The numbers from 1 to 5 are written on slips of paper and placed in a bucket. What is the
theoretical probability of drawing a "2"?
Answer:
20%
Step-by-step explanation:
5 numbers in total, only 1 option = 1/5
-Gage Millar, Algebra 2 tutor
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answer:
2/3
Step-by-step explanation:
what is your conclusion if the provided sha hash value is different from the one you calculated?
If the provided SHA hash value is different from the one I calculated, it indicates that there has been a modification or alteration in the data or the process used to calculate the hash.
This inconsistency raises concerns about data integrity and the authenticity of the information.
SHA (Secure Hash Algorithm) is a cryptographic hash function that generates a unique hash value for a given input. It is designed to be highly sensitive to any changes in the input data, meaning even a small alteration in the data will result in a completely different hash value. Therefore, if the provided SHA hash value differs from the one I calculated, it suggests that either the input data has been tampered with, or there is an error in the hash calculation process.
In such a situation, it is important to investigate the cause of the discrepancy and determine the source of the error. It could be due to accidental data corruption, intentional tampering, or an error in the hash calculation algorithm or implementation. Validating the integrity of the data becomes crucial to ensure the accuracy and trustworthiness of the information.
To resolve the issue, a comparison of the original and modified data should be conducted, and the hash calculation process should be carefully reviewed. It is also advisable to verify the integrity of the data through other means, such as using digital signatures or checksums, to detect any unauthorized modifications.
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How do you solve this?
Answer:
Everything is being timesed by 6 So 6/1?
Step-by-step explanation:
Briefly explain how to get the next term in the Fibonacci Sequence
PLS HELPP
Answer:
The Fibonacci sequence is defined by , for all , when and . In other words, to get the next term in the sequence, add the two previous terms. The notation that we will use to represent the Fibonacci sequence is as follows: f1=1,f2=1,f3=2,f4=3,f5=5,f6=8,f7=13,f8=21,f9=34,f10=55,f11=89,f12=144,…
What greater 50% or 13/25
Answer: 13/25
Step-by-step explanation: it is equal to 52% which is greater than 50%
50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.
Solve the system of linear equations by graphing
x=3 y= - 1/2.
1/2, 3
3,-1/2
-1/2,3
-3, -1/2
9514 1404 393
Answer:
(b) (x, y) = (3, -1/2)
Step-by-step explanation:
The point where the vertical line x=3 crosses the horizontal line y=-1/2 has coordinates (x, y) = (3, -1/2).
find the slope of the line that passes through each pair of points. (2,4) and (9,12)
Considering the expression of a line, the slope of the line that passes through the points (2,4) and (9,12) is 8/7.
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope of the line is calculated as:
m= (y₂ - y₁)÷ (x₂ - x₁)
Slope of the line in this caseIn this case, being (x₁, y₁)= (2,4) and (x₂, y₂)= (9,12), the slope m can be calculated as:
m= (12 -4)÷ (9 -2)
Solving:
m= 8÷ 7= 8/7
Finally, the slope of the line is 8/7.
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6b 4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b 4r) – (2b r). What is this expression after simplifying?.
The total cost of rice and beans bought by Gabriel is 6b + 4r.
The simplified expression of the final cost is 4b + 3r.
What is simplification?Simplification can be defined as a process of replacing a mathematical expression by the cancellation of common factors, regrouping of terms in the same variable to get the more simple form of the given expression.
Given that
6b + 4r represents the total cost of the rice and beans Gabriel bought.
He returns 2 bags of beans and 1 bag of rice.
This can be written as,
\(\rm 2b+1r\)
Then, the total number of bags of rice and beans is given as,
\(\rm (6b+4r)- (\rm 2b+1r)\)
When we simplify the above equation, we get,
\(\rm (6b+4r)- (\rm 2b+1r)\\\\6b+4r-2b-1r\\\\4r+3r\)
Hence we can conclude that the expression for rice and beans after the return is (4b+3r).
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A person earns $17,000 one year and gets a 5% raise in salary. Calculate the new yearly salary using a percent greater than 100.
Answer:
$17850
Step-by-step explanation:
Adding 5% of a number to that number is the same as taking 105% of the number.
Taking 105% of a number is the same as multiplying it by 1.05
This means that 105% of 17,000 is:
17,000*1.05 = 17850
Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square.
answer below:
–9 = 7x2 –
⇒ 56 x
–9 +
⇒ 112 = 7(x2 – 8x +
⇒ 16 )
56, 112, 16 in that order
Answer:
it's actually 28+/-√721/7
Step-by-step explanation:
WILL GIVE 10 OR 5$ PAYPAL IF UR SMART ENOUGH TO ANSWER
Answer:
ok well whats the question?
Step-by-step explanation:
john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answer:
2 sides of equal length meaning the poster is a rectangle
Which value is irrational? −13.6¯¯¯ − 13. 6 ¯ 0 0 10−−√ 10 6.1357
Answer:
1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is
2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to
3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?
4. Which expression is equivalent to cos P cos 50 - sin P sin 50?
5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?
7. Which equation could be represented by the graph below?
8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are
9. Which diagram represents an angle of 7/4 pi; radians in standard position?
Step-by-step explanation:
Answer:
The one with the √
Step-by-step explanation:
If it has a √ it always means its irrational
Hope this helps!
she does 3 sets of 8 pushups 7 days a week, how many pushups does she do in one week
Answer:
24 push ups3 x 8 = 24ksjsjsowjsnsoajjsodhew
Look at the graph shown below.
Answer:
B
Step-by-step explanation:
if the line is down the slope is negative and remember rise over run.
A metallurgist wants to make 130 grams of an alloy that is to be 20% copper. She has samples that are 14% copper and 22% copper. How many grams of the sample that contains 14% should she use?
Answer:
She should use 32.5 g of the sample that contains 14%
Step-by-step explanation:
Here, we want to know the number of grams of the sample that contains 14% copper that should be used
let the number of grams that contains 14% copper to be used be x
Then the number of grams of 22% will be 130-x
Thus, mathematically;
0.14(x) + 0.22(130-x) = 0.2(130)
0.14x + 28.6 - 0.22x = 26
0.22x - 0.14x = 28.6 - 26
0.08x = 2.6
x = 26/0.08
x = 32.5
Measurements made by a surveyor with a total station carry errors. Based on previous measurements and when the weather is sunny, the errors made by a surveyor follow a lognormal distribution with a mean value of 5 mm and a standard deviation of 2 mm. When it is rainy, the measurement errors made by the surveyor are normally distributed with a mean of 6 mm and a standard deviation of 3 mm. For a particular construction project, errors of more than 10 mm during the measurement stage will result in extra costs from adjustments in materials and design. It is expected that the 35% of the time there will be rainy conditions during the measurement stage. Answer the following: a) Calculate the probability that measurement errors will result in extra costs (7 marks). b) If extra costs occur due to measurement errors, what is the probability that the measurements occurred during a sunny day? (3 marks). Note: to get full marks you must correctly answer all questions showing all your working and calculations not just your final answers.
The probability :P(extra costs | rainy) = P(Z > (10 - 6) / 3) = P(Z > 1.33) = 0.0918 The probability that measurement errors will result in extra costs is 11.52%.
In order to calculate the probability that measurement errors will result in extra costs, it is necessary to use the law of total probability. The following is the calculation:P(extra costs) = P(extra costs | sunny)P(sunny) + P(extra costs | rainy)P(rainy)To calculate the probability that extra costs will result in the rainy weather, the following formula is used:P(extra costs | rainy) = P(X > 10), where X is the measurement error made by the surveyor.
As the measurement errors made by the surveyor during rainy weather are normally distributed with a mean of 6mm and a standard deviation of 3mm, the standard normal distribution can be used to calculate the probability:P(extra costs | rainy) = P(Z > (10 - 6) / 3) = P(Z > 1.33) = 0.0918Similarly, the probability that extra costs will occur during sunny weather can be calculated using the log-normal distribution, as the measurement errors are log-normally distributed with a mean of 5mm and a standard deviation of 2mm.
Using the probability density function for the log-normal distribution, we can find:P(extra costs | sunny) = P(X > 10) = 1 - P(X < 10) = 1 - P(Z < (ln(10) - ln(5)) / 2) = 1 - P(Z < 1.019) = 0.1566Putting everything together, we get:P(extra costs) = 0.1566(0.65) + 0.0918(0.35) = 0.1152Therefore, the probability that measurement errors will result in extra costs is 11.52%.
b) If extra costs occur due to measurement errors, it is required to calculate the probability that the measurements occurred during a sunny day. This is an example of a conditional probability, and it can be calculated using Bayes' theorem, which states:P(sunny | extra costs) = P(extra costs | sunny)P(sunny) / P(extra costs)We have already calculated P(extra costs) and P(extra costs | sunny) in part (a), so the remaining quantities need to be determined.
P(sunny) can be calculated by observing that the probability of rainy weather is 0.35, so:P(sunny) = 1 - P(rainy) = 1 - 0.35 = 0.65Finally, P(extra costs | sunny)P(sunny) / P(extra costs) can be computed:P(sunny | extra costs) = (0.1566)(0.65) / 0.1152 = 0.8824Therefore, the probability that the measurements occurred during a sunny day, given that extra costs have occurred, is 88.24%.
The probabilities that the measurement errors will result in extra costs and that the measurements occurred during a sunny day, given that extra costs have occurred, are calculated as 11.52% and 88.24%, respectively, using the law of total probability and Bayes' theorem.
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Range of g(x)=3 square root of x
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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