Step-by-step explanation:
13x - 26 °+ 5x +8° = 180° ( being co- interior angle)
13x + 5x - 26 °+ 8° = 180°
18x - 18 = 180°
18x = 180°- 18°
18x = 162°
x= 162° ÷ 18
x= 9°
hope it help
suppose we have a population that does not follow the normal distribution. what minimum sample size we should select in order to have an approximately normal distribution (symmetric)?
If we have a population that doesn't follow the normal distribution, we must choose a minimum sample size of 30 to ensure an approximately normal (symmetric) distribution.
According to the Central Limit Theorem (CLT), a minimum sample size of 30 is required to ensure a normal distribution, regardless of the shape of the population distribution.
In this case, a minimum sample size of 30 will suffice for a normal distribution, regardless of the population's shape, as long as the sample is random and the population's standard deviation is known or greater than 30.
Therefore the minimum sample size of 30 we should select in order to have an approximately normal distribution (symmetric).
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pleaseee help me answer this question
Answer: use the radious
Step-by-step explanation:
Linda and Imani are each traveling in a car to the beach. Linda's travel is modeled by a table. Imani's travel is modeled by a graph.
Did Linda or Imani travel faster? How do you know?
Linda traveled faster than Imani because when t =1 , linda traveled 65 miles and Imani traveled 60 miles and linda travelled at a faster rate because when t=0,
She travelled 10 miles and Imani travelled 0 miles these are cοrrect answer. The prοvided graph's cοοrdinates are (2, 120) and (4, 240).
What is graph ?A graph is a structure that amοunts tο a set οf items where sοme pairs οf the οbjects are in sοme manner "cοnnected" in discrete mathematics, mοre specifically in graph theοry. The items are represented by mathematical abstractiοns knοwn as vertices (sοmetimes knοwn as nοdes οr pοints), and each pair οf cοnnected vertices is knοwn as an edge. Generally, a graph is represented diagrammatically as a cοllectiοn οf dοts οr circles fοr the vertices cοnnected by lines οr curves fοr the edges. Graphs are οne οf the tοpics studied in discrete mathematics.
Slοpe with (2, 120) and (4, 240) is
Slοpe (y2-y1)/(x2-x1)
= (240-120)/(4-2)
= 120/2
= 60
Put m=60 and (x, y)=(2, 120) in y=mx+c, we get
120=60(2)+c
c=0
Sο, equatiοn is y=60x
Put x=0, 1, 2, 3 and 4, we get
y= 0, 60, 120, 180, 240
(0, 0), (1, 60), (2, 120), (3, 180) and (4, 240)
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Which is equivalent to 12°?
A’ 0
B. 1
C. 12
D. 120
I would assume 12????
---
hope it helps
Explanation is in the file
tinyurl.com/wpazsebu
Find the measure of the missing angle.
Answer:
23º = x
Step-by-step explanation:
One straight line is ALWAYS 180º
(called a linear pair)
So your equation is
157º + x = 180
subtract x on both sides
and you get
23º
That is a question about angles.
The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.
So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:
\(a + 157 = 180\\a = 180 - 57\\a = 23\)
Therefore, the missing angle is 23°.
I hope I've helped. :D
Enjoy your studies. \o/
Rhonda and hobie ate 4/5 of a pizza. what percentage of the pizza did rhonda and hobie eat?
The percentage of pizza that Rhonda and Hobie ate is 80%
We need to know about the percent theory first, the percent number is per 100. It can be determined by this formula
A% = A/100
From the text we know that :
the pizza that Rhonda and Hobie ate = 4/5
We need to make the fractional number to per 100
4 / 5 = 4 / 5 x 1
= 4/5 x 20/20
=80 / 100
Convert to percent and we get
8/10 = 80%
Hence, the percentage of pizza that Rhonda and Hobie ate is 80%.
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The volume of a cuboid is 176cm3.
The length is 11cm and the width is 20mm.
Work out the height of the cuboid in cm.
The height of the cuboid is 8 cm.
What is Volume?
Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is expressed in cubic units such as cubic meters (m³) or cubic centimeters (cm³).
We first need to convert the width to cm since the length and height are given in cm:
20 mm = 2 cm (since 1 cm = 10 mm)
The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width, and h is the height. We can solve for h by rearranging the formula:
h = V / lw
Substituting the given values, we get:
h = 176 / (11 x 2)
h = 8
Therefore, the height of the cuboid is 8 cm.
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PLEASE HELP!! If you can show your work. I wanna know how you solved it. :)
Daniel has 47 coins. Some are nickels and some are dimes. He has 5 more nickels than dimes. How many
nickels does he have?
Equation 1:
Equation 2:
# of nickels:
Answer:
:) i have no idea have a good day hope u get it
Step-by-step explanation:
A grounds keeper needs grass to cover a circular field 290 feet in diameter.a store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field. What is the smallest number of bags the groundskeeper must buy to cover the circular field? Explain ir show your reasoning
Answer:The smallest number of bags the groundskeeper must buy to cover the field is 165 bags.
Given:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50 pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
To find:
The smallest number of bags the groundskeeper must buy to cover the field.
Solution:
Diameter of the field = 290 feet, radius = 145 feet
Step-by-step explanation:
Consider The Following Integral. COS(7x) Dx Given The Substitution U = 7x, Find Du. Du = Dx Rewrite The Given Integral In Terms Of U. MC ]) Du Evaluate The Integral By Making The Given Substitution. (Use C For The Constant Of Integration.)
The evaluated integral is (1/7)sin(7x) + C, where C is the constant of integration.
Given the integral ∫cos(7x) dx and the substitution u = 7x, we need to find du and rewrite the integral in terms of u.
First, we find du by taking the derivative of u with respect to x:
du/dx = d(7x)/dx = 7
Now, we can solve for dx:
dx = du/7
Next, we substitute u = 7x and dx = du/7 into the integral:
∫cos(7x) dx = ∫cos(u) (du/7)
Now, we can evaluate the integral with the given substitution:
∫cos(u) (du/7) = (1/7)∫cos(u) du
To evaluate the integral, we recall that the integral of cos(u) is sin(u):
(1/7)∫cos(u) du = (1/7)sin(u) + C
Finally, we substitute back 7x for u:
(1/7)sin(7x) + C
So, the evaluated integral is (1/7)sin(7x) + C, where C is the constant of integration.
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Of the following options, which does not represent the naive Bayes method? Multiple Choice All predidor variables are independent. Works best on a small data set. Does not capture possible Interactions between predictor variables. All predictor variables are categorical.
The option that does not represent the naive Bayes method is "All predictor variables are independent." Naive Bayes assumes that the predictor variables are conditionally independent given the class label, which means that the value of one predictor variable does not affect the value of another predictor variable.
However, this does not mean that the predictor variables are completely independent of each other. Naive Bayes can still capture interactions between predictor variables through their joint distribution with the class label. In fact, naive Bayes can work well even with interactions between predictor variables, as long as they are not too strong. Naive Bayes is known to work well on small data sets, especially when the number of predictor variables is large compared to the number of observations. Overall, naive Bayes is a simple yet effective classification method that can handle both categorical and continuous predictor variables.
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What is a possible solution to x ≥ −2?
Answer:
5
Step-by-step explanation:
A study of 50 teenagers revealed that the average number of times they thought about food in one day was 100 times with a standard deviation of 10. Develop a 95% confidence interval of the mean times teenagers think about food in one day.
The 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).
A study of 50 teenagers revealed that the average number of times they thought about food in one day was 100 times with a standard deviation of 10. Develop a 95% confidence interval of the mean times teenagers think about food in one day.
In order to develop the 95% confidence interval, we must determine the test statistics.
The z-test is used to determine the test statistics, and it is defined as the difference between the sample mean and the population mean divided by the standard deviation:
z = (X - μ) / (σ / √n)
Where, X = sample mean
μ = population mean
σ = standard deviation
n = sample size
Substitute the given values, σ = 10, n = 50, μ = 100.
Using the above formula, we can determine the test statistics,
z = (X - μ) / (σ / √n)
z = (100 - 100) / (10 / √50)
z = 0
Thus, the test statistics is 0. Now, we can use the test statistics and a z-table to find the critical value of z for a 95% confidence interval. The z-table indicates that the critical value of z for a 95% confidence interval is 1.96.
Using this value and the formula for the confidence interval, we can determine the 95% confidence interval of the mean times teenagers think about food in one day: CI = X ± (z * σ / √n)
CI = 100 ± (1.96 * 10 / √50)
CI = 100 ± 2.78
Therefore, the 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).
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Calculate the volume of the triangular prism shown below. Give your answer in cm³. 5 cm 7 cm 9 cm 4 cm
The volume of the given triangular prism is 315 cm³.
The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.
The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.
Calculate the area of the triangular base.
The area of a triangle can be calculated using the formula:
Area = (base length × height) / 2
Plugging in the values, we have:
Area = (5 cm × 7 cm) / 2
Area = 35 cm²
Calculate the volume of the prism.
The volume of a prism can be calculated by multiplying the base area by the height of the prism.
Volume = Base area × Height
Volume = 35 cm² × 9 cm
Volume = 315 cm³
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Can someone plz help me on this plz I beg u
Answer:
10,120cm³
Step-by-step explanation:
Volume of pyramid formula:
\(V = \frac{l*w*h}{3}\)
l = length
w = width
h = height
Plug in the numbers:
V = 46*20*33/3
V = 10120
Answer:
option D is the correct answer dude
the mean salary at a local industrial plant is $27,800 with a standard deviation of $5400. the median salary is $24,500 and the 60th percentile is $31,000.step 5 of 5 : if tom's salary has a z-score of 0.9, how much does he earn (in dollars)?
Tom earns $32,660.
A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean. The mean salary is $27,800 and the standard deviation is $5400, so Tom's salary is $27,800 + 0.9 * $5400 = $32,660.
Here is a more detailed explanation of how to calculate Tom's salary:
The mean salary is $27,800.
The standard deviation is $5400.
A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean.
To calculate Tom's salary, we can use the following formula:
Salary = Mean + (Z-score * Standard deviation)
Substituting the known values into the formula, we get:
Salary = $27,800 + (0.9 * $5400)
Salary = $32,660
Therefore, Tom earns $32,660.
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simplify 5^3/5^7 leaving your answer in index form
Step-by-step explanation:
\( \frac{ {5}^{3} }{ {5}^{7} } \\ \\ = {5}^{3 - 7} \\ \\ = {5}^{ - 4} \\ \\ = \frac{1}{ {5}^{4} } \)
Question 10
If Laura uses factoring to find the zeros of the quadratic function f(x) = 3x2 + 10x – 8, which of the following is the factored
form of the function?
Answer:
(x-4)(3x+2)
Step-by-step explanation:
Translate the following into an expression: s% of 1/r
Answer:
s/100r
Step-by-step explanation:
Here, we are to find s% of 1/r
That would be;
s/100 * 1/r
= s/100r
Answer:
s/100r
Step-by-step explanation:
This is fairly simple!
First, make a proportion like s/100 and x/ 1/r
Next we cross multiply that lets us with 100x=s(1/r)
After that, let's simply s(1/r) to s/r
Then we divide it by 100 because it is 100x, that is s/r /100
Finally, we multiply r with 100 to let us have s/100r
I hope you understand, ask any questions in the comments:)
a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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7x + 8 + 3x2 - 5x + 9
Can someone show me how I would solve this equation? (Step by step please)
Answer:
2x+23
Step-by-step explanation:
1
Simplify 3\times 23×2 to 66.
7x+8+6-5x+97x+8+6−5x+9
2
Collect like terms.
(7x-5x)+(8+6+9)(7x−5x)+(8+6+9)
3
Simplify.
2x+23
Done
URGENT!
Amanda walks 1.5 miles to school in
the morning. After school, she walks
0.5 mile to the public library. After she
has chosen her books, she walks 2 miles
home. Sketch a graph to show the
distance Amanda traveled compared
to time. Use your graph to find the
total distance traveled.
Answer:
I can't do the graph because I don't know how to do that on the computer but she walks 4 miles in total.
Step-by-step explanation:
what is the sum of a and b?
Answer:The sum of A and B is the result of adding A to B, as opposed to something like the product of A and B, which would be multiplying A and B
Step-by-step explanation:
The runner ran 3000 m in exactly 8 minutes. What was his average speed in meters per second?.
The Average Speed of the runner is 6.25 meters per second when the runner ran 3000 m in exactly 8 minutes.
what is average speed ?Average speed combines the concepts of speed and average, which refers to a mean calculated from several different data points.
If the motion can be timed and the distance measured, you can determine the average speed for any kind of motion.
calculation
The distance traveled (\(s\)), in meters, divided by the time (\(t\)), in seconds, gives the runner's average speed (\(v\)), in meters per second. We make all necessary substitutions before computing the outcome. Remember that one minute is equal to 60 seconds.
The average running speed of the runner is: if we know that s = 3000 m and t = 480 s .
v = s / t
v = 3000 / 480
v = 6.25 m / s
Running at a pace of 6.25 meters per second on average.
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The measure of angle WZQ is 92°.
What is the measure of angle QZX?
Enter your answer in the box.
a
°
Angle W Z Q. Ray Z X is drawn between ray Z W and Z Q. Angle W Z X is labeled 63 degrees. Angle Q Z X labeled with a question mark.
To find the measure of angle QZX, we need to use the fact that the sum of the angles in a triangle is 180 degrees.
First, we can find the measure of angle ZWQ:
Angle WZQ + Angle WZX = 180 degrees
92 degrees + 63 degrees = 155 degrees
Therefore, angle ZWQ has a measure of 155 degrees.
Now, we can find the measure of angle QZX:
Angle ZWQ + Angle QZX = 180 degrees
155 degrees + Angle QZX = 180 degrees
Subtracting 155 from both sides, we get:
Angle QZX = 25 degrees
Therefore, the measure of angle QZX is 25 degrees.
After years of maintaining a steady population of 32,000, the population of a town begins to grow exponentially. After 1 year and an increase of 8% per year, the population is 34,560. Which equation can be used to predict, y, the number of people living in the town after x years? (Round population values to the nearest whole number.) y = 32,000(1.08)x y = 32,000(0.08)x y = 34,560(1.08)x y = 34,560(0.08)x
Answer:
y = 32,000(1.08)^x
Step-by-step explanation:
The exponential growth equation is y = a(1 + r)^x, where a is the initial amount, r is rate as a decimal, and x is the time.
In this situation, 32,000 is the initial amount (a) and 0.08 is the rate (r)
If we plug these into the equation, we get the equation y = 32,000(1.08)^x
So, y = 32,000(1.08)^x is the correct answer.
Answer:
A
Step-by-step explanation:
on edge 2020
Solve 3x²+7x-13 = 0 Give your solutions correct to 2 decimal places
Answer:
Step-by-step explanation:
\(3x^2+7x-13=0\\x = \frac{-7 +- \sqrt{49+156} }{6}\\ x = \frac{-7 +- \sqrt{215} }{6}\\ x = \frac{-7}{6}+-\frac{14.66}{6}\\ x = \frac{7.66}{6} = 1.27\\ or\\x = \frac{-21.66}{6} = -3.61\)
There are four possible relationships between variables in a dataset. What are they? Association, Correlation, Disagreement, Causation. Association, Correlation, Agreement, Accusation. Association, Collaboration, Agreement, Causation. Association, Correlation, Agreement, Causation. What is unsupervised learning? Labelled datasets are used to train algorithms to predict outcomes. Uses machine learning algorithms to analyze and cluster unlabeled datasets. Allows for algorithm to learn from a small amount of labeled text document while still classifying a large amount of unlabeled text documents in the training data. Simulation of human intelligence. Select the correct statement: Classification is attempting to determine the strength of the relationship between a dependent and independent variables. Classification is a technique to categorize data into a given number of classes. Regression is a technique to categorize data into a given number of classes. Regression is the task of dividing data points into clusters so as to minimize intra-cluster distance but maximize inter-cluster distance.
The four possible relationships between variables in a dataset are association, correlation, agreement, and causation. Unsupervised learning is the use of machine learning algorithms to analyze and cluster unlabeled datasets, while classification categorizes data into classes and regression estimates the relationship between variables.
There are four possible relationships between variables in a dataset. The four possible relationships between variables in a dataset are Association, Correlation, Agreement, and Causation. Association refers to the measure of the strength of the relationship between two variables, Correlation is used to describe the strength of the relationship between two variables that are related but not the cause of one another. Agreement refers to the extent to which two or more people agree on the same thing or outcome, and Causation refers to the relationship between cause and effect.
Unsupervised learning is the uses of machine learning algorithms to analyze and cluster unlabeled datasets. This process enables the algorithm to find and learn data patterns and relationships in data, making it a valuable tool in big data analysis and management. It is opposite of supervised learning which utilizes labeled datasets to train algorithms to predict outcomes.
Classification is a technique to categorize data into a given number of classes. It involves taking a set of input data and assigning a label to it. Regression is the task of estimating the relationship between a dependent variable and one or more independent variables. It is used to estimate the value of a dependent variable based on one or more independent variables.
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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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What is the answer to this
Answer:
9.42478
Step-by-step explanation:
Answer:
9.42 cm^3
Step-by-step explanation: