Answer:
y = -3x -7
Step-by-step explanation:
Subtract 21 and it would be 3y - 9x -21 = 0
Then divide by three and simplify
So your answer would be y = -3x - 7
1. the expected value of a random variable can be thought of as a long run average.'
Yes it is correct that the expected value of a random variable can be interpreted as a long-run average.
The expected value of a random variable is a concept used in probability theory and statistics. It is a way to summarize the average behavior or central tendency of the random variable.
To understand why the expected value represents the average value that the random variable would take in the long run, consider a simple example. Let's say we have a fair six-sided die, and we want to find the expected value of the outcomes when rolling the die.
The possible outcomes when rolling the die are numbers from 1 to 6, each with a probability of 1/6. The expected value is calculated by multiplying each outcome by its corresponding probability and summing them up.
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PLEASE HELP ME I REALLY NEED HELP
Answer: true, true, false, true
Step-by-step explanation:
1 True- 2 is a prime number
2- True 2 is a prime number
3 False 2,3,5,7 can be prime numbers as well
4 True 2 is a prime number
(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
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Salma invests money in an account paying a simple interest of 9% per year. if no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?
She should multiply 1.09 in her current balance by to find her total balance in a year in one step.
In the given question, Salma invests money in an account paying a simple interest of 9% per year.
No money will be added or removed from the investment so we have to find what should she multiply in her current balance by to find her total balance in a year in one step.
For 9% simple interest.
For $100 we get interest of $9 and total money became $109.
Here the factor is (109/100) = 1.09
by multiply by 1.09 simply we can get total amount.
So, she should multiply 1.09 in her current balance by to find her total balance in a year in one step.
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Students were asked which night they plan
going to the school festival. The results of the survey
are shown in the table. If 18% of the students did not
go on Friday, and 15% of the students did not go on
Saturday, how many more students went on Friday
than on Saturday?
Pls help
Answer:3% went on Friday than on Saturday
Step-by-step explanation:
HELP PLEASE 15 [POINTS]
Answer:
A
Step-by-step explanation:
I just used Pythagorean Theorem for this one
I hope this helps!!
Abraham told his friends to try and guess his number. He said that when you take his number and multiply it by 4 and add 12 you will get 100. What is the number that he is thinking of?
A=88 B=28 C=22 D=4
Answer:
C) 22
Step-by-step explanation:
I have set up an equation based off of what Abraham said.
\((n*4)+12=100\\\\4n+12=100\\\\4n+12-12=100-12\\\\4n=88\\\\\frac{4n=88}{4}\\\\\boxed{n=22}\)
The number should be 22.
Hope this helps.
Hope this helps.
Answer:
C.)22
Step-by-step explanation:
I had this on my Test so yeah
The blueprint for a fence shows a rectangle with the dimensions bin x
18in. The scale for the actual fence is 2in : 10ft. What is the length and
width of the actual fence?
Answer:
The width of the actual fence is 90ft
Step-by-step explanation:
If 2in = 10ft, you want to find the scale factor. To do this, you need to divide 10/2, so for every 5ft, it is 1in. Now, you would take how many inches you have and multiply it by 5. (in our case, 18in)
18 x 5 = 90.
So the actual fence length is 90ft.
what is the distance along the unit circle between any two successive 8th roots of 1?
a. π/8
b. π/6
c. π/4
d. π/2
The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.
To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.
Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.
Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.
Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.
Therefore, the correct answer is option c. π/4.
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witch shape does it make
the answer is volume
Which of the following statements is correct? A. Steven Strange is single and is claimed as a dependent by his parents. Steven has salary income of $15,000 and files his own tax return. The basic standard deduction for Steven is $15,350. B. Wanda (gross income: $5,000) is married and files a separate tax return (MFS). Since Wanda's gross income ($5,000) is smaller than the basic standard deduction for MFS ($12,550), she does not have to file her tax return. C. In general, a $1 deduction for AGI is better than a $1 non-refundable tax credit. D. A greater deduction from AGI leads to a greater deduction for AGI. E. All of above are incorrect. 2. Which of the following statements is incorrect regrading a self-employed taxpayer? A. Qualified job-related expenses (e.g., auto, travel, gift expenses) are classified as deduction for AGI. B. If 30% of the travel time is business purpose, transportation expense (e.g., airfare) is not deductible. C. In addition to the $0.575 per mile auto expenses, the self-employed taxpayer who chooses the standard mileage method (rather than the actual cost method) can claim deduction on depreciation, gas and oil, repair, insurance, license expenses. D. The auto expenses related to commuting between home and his/her job are not qualified for deduction. E. Job-related education expenses where the education maintains or improves current job skills are deductible.
The correct statement is: E. All of the above are incorrect.
Statement A is incorrect because the basic standard deduction for 2021 is $12,550 for single filers, not $15,350.
Statement B is incorrect because the gross income threshold for filing a separate tax return (MFS) in 2021 is $5, as opposed to the basic standard deduction for MFS.
Statement C is incorrect because a non-refundable tax credit directly reduces the amount of tax owed, whereas a deduction for AGI reduces taxable income before calculating the tax liability. Therefore, a non-refundable tax credit is generally more valuable than a deduction for AGI.
Statement D is incorrect because a greater deduction from AGI does not necessarily lead to a greater deduction for AGI. Deductions from AGI reduce taxable income, while deductions for AGI are claimed before calculating AGI.
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Raj went to the theatre to watch a traditional Indian dance performance with his family. The theatre had 1050 seats. There were 50% fewer $50-seats than $30-seats. 90% of the $30-seats and some $50-seats were sold. A total of $34 650 was collected. How many seats were unsold?
Total number of seats that remain unsold are 168.
What is statistics?
The branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.
Let's start by defining some variables to represent the unknowns in the problem:
Let x be the number of $30-seats.Let y be the number of $50-seats.From the problem, we know that:
The total number of seats is 1050: x + y = 1050.There were 50% fewer $50-seats than $30-seats: y = 0.5x.90% of the $30-seats and some $50-seats were sold, which means that the revenue from the $30-seats is 0.9(30x) = 27x, and the revenue from the $50-seats is 0.9(50y) = 45y.We also know that the total revenue collected is $34,650:
27x + 45y = 34650
Now we can substitute y = 0.5x from the second equation into the third equation and simplify:
27x + 45(0.5x) = 34650
27x + 22.5x = 34650
49.5x = 34650
x = 700
So there were 700 $30-seats and 350 $50-seats.
The number of sold $30-seats is 0.9(30x) = 567, and the number of sold $50-seats is 0.9(50y) = 315.
Therefore, the total number of seats sold is 882, and the number of unsold seats is:
1050 - 882 = 168
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help me please ASAP
Answer:
A.
Step-by-step explanation:
Vertical shifts are represented by - or +, and they are not within the parenthesis. Since the function is being shifted down by 2 units, the correct answer is A.
a) What is the median of this box plot?
b) What is the IQR of this box plot?
c) What is the minimum?
d) What is the maximum?
The given box plot answers are,
a) 6
b) 5
c)3
d) 5
What is box plot?
A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.
Here in the given box plot middle line value is called median .Then ,
Median = 6
Now the maximum quartile = 8
The minimum quartile = 3
Now IQR is difference between the minimum and maximum quartile.
Then ,
=> IQR = 8-3 =5
Therefore the answers are
a) 6
b) 5
c)3
d) 5
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find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. (2 points)
Standard form of ellipse has equation \(\frac{y^2}{a^2} +\frac{x^2}{b^2} =1\) where, a and b are the halves of the length of major and minor axis respectively.
Given that,
Length of major axis(2a)=6.
So
a=6/2
=3
Length of minor axis(2b)=4.
So
b=4/2
=2
Putting in equation of standard ellipse. We get
\(\frac{y^2}{3^2} +\frac{x^2}{2^2} =1\)
After simplifying
4y² + 9x² = 36
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Survey: 100 people were asked if they like dogs or cats. Using the two-way table, what percent of the females only said they like cats?
A. 48/100 = 48%
B. 39/100 = 39%
C. 39/48 = 81%
D. 49/100 = 49%
Answer:
C. 39/48 = 81%
Step-by-step explanation:
To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.
According to the provided two-way table:
Number of females who only said they like cats = 39
Total number of females surveyed = 48
To calculate the percentage:
Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100
Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%
Therefore, the correct option is:
C. 39/48 = 81%
Write the ratio 120 inches to 4 feet as a fraction in lowest terms
a. 5/2
b. 2/5
c. 30/1
d. 1/30
Answer:
c
Step-by-step explanation:
Complete each step in the following solution.
10x + 8 = 3(x – 2)
10x + 8 = 3x
A: 10x + 8 = 3(x – 2)
10x + 8 = 3x – 6
7x = – 14
x = -2
what is the solution to the equation below? sqrt x-7 = 5
A. 144
B. 12
C. 2
D. 4
Answer:
I think the answer is B.12
If this not correct, Sorry.
On a trip mrs. ahmed drove 188 miles in 4 hours. On the return trip, she took a different route and traveled 197 miles in 4.5 hours. What was the average rate of speed for the trip?
Answer:
45.29 miles per hour
Step-by-step explanation:
Speed is the distance over time. To find the average rate of speed for a trip, we simply need to take the total distance divided by the total time.
Avg. Speed = (188 miles + 197 miles) / (4 hours + 4.5 hours)
Avg. Speed = 45.29 miles per hour
Hence the average rate of speed for the trip was 45.29 miles per hour.
Cheers.
--------------------------------------------------------
Edit: Thanks to Chegsnut36 for calculation correction
Answer:
≅45.29
Step-by-step explanation:
Hey there!
To find the average rate speed we need to add all the same number.
188 + 197 = 385
4 + 4.5 = 8.5
Now to find the average rate we do,
385 ÷ 8.5 ≅ 45.29
Hope this helps :)
Use the net to find the size of the base and the height of each triangular face of this square pyramid. Enter your answers in the boxes.
Answer:
The answer is below
Step-by-step explanation:
The size of each box in the grid is 1 unit by 1 unit.
From the image, we can see that the size of the base of the square pyramid is 4 units by 4 units, hence:
Area of the base = 4 units * 4 units = 16 unit²
Also, as shown in the image, all the triangular face of the square pyramid are of the same size. the distance from the middle of the triangle base to the top of the vertex of the triangle is considered to be the height of the triangle. Hence, the height of each triangular face = 2 units
A bakery made 1, 575 butter cookies. After arranging the cookies into packages, the bakery did not have any cookies left. How many cookies could have in each package? *
1 point
A. 6
B. 5
C. 9
D.4
Answer:
B. 5 might be the answer.
Answer: Either B. 5 or C. 9
Explanation: Assuming there would be the same amount of cookies in each package, to see if they would all fit perfectly and there be no leftover cookies, simply divide 1,575 (the number of total cookies) by how many cookies could be in each package. If it comes out with "point something," then the numbers after the decimal point would be how many cookies will be leftover. 5 and 9 both end up with no decimal, so that's as much as I know.
let Xk be independent and normally distributed with common mean 22 and standard deviation 11 (so their common variance is 1.1.) compute (to at least four decimal places) p(−[infinity]≤∑k=181xk≤172.89)
Let Xk be independent and normally distributed with common mean 22 and standard deviation 11 (so their common variance is 1.1.). The value of p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265.
The common variance of independent and normally distributed random variables with a common mean can be computed with the formula
σ² = Var[Xk]
= 1.1.
This can be solved by finding the standard deviation, which is equal to the square root of the variance as
σ = sqrt(1.1)
= 1.0488.
The sum of the independent and identically distributed normal random variables can be expressed as a normal random variable with a mean equal to the sum of the individual means and a variance equal to the sum of the individual variances.
Thus, we can express this random variable as ∑k=181 Xk ~ N(22 * 181, 1.1 * 181).
To solve the given problem, we need to compute the probability that the sum of the random variables lies between -infinity and 172.89.
Since the sum of normal random variables follows the normal distribution, we can standardize the sum by subtracting the mean and dividing by the standard deviation.
Let Z be the standardized random variable.
Then Z = (X - μ)/σ
Z = (∑k=181 Xk - μ)/σ, where μ = 22 * 181 and σ = sqrt(1.1 * 181).
We need to compute P(-infinity ≤ Z ≤ (172.89 - μ)/σ) = P(Z ≤ (172.89 - μ)/σ) .
Since the standard normal distribution is symmetric about zero.
This can be solved using standard normal tables or a calculator to obtain P(Z ≤ -1.9309) ≈ 0.0265 (rounded to four decimal places).
Therefore, p(-[infinity] ≤ ∑k=181 Xk ≤ 172.89) ≈ 0.0265 (rounded to four decimal places).
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Isabel and Sophia share a bag of 42 sweets. Isabel has 16 sweets. Find the ratio of Sophia's sweets to Isabel's sweets.
Answer:
ratio of Sophia's sweets to Isabel's sweets is
13:8
Answer:
you first have to find the number of sweets that sophia got.by subtracting the total number of sweets minus the number of sweets that isabel got which will be
42-16=26
therefore the ratio will be
16:26
8:13
I hope this helps
Evaluate the factorial expression.15!12!(4−1)!
we have
15!12!(4−1)!
15!12!(3!)=3,758,268,687,305,932,800,000
therefore
the answer is
3,758,268,687,305,932,800,000Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.
Answer: C
Step-by-step explanation: Just did khan academy
Question text Level and Trend in a Time Series is estimated by- Select one: a. Moving Average b. Simulation method c. Regression analysis d. Covariance analysis e. Correlation Analysis
(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.
Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.
Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.
The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.
While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.
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Blake has $17.00 to spend at the grocery store. She is going to buy bags of fruit that cost $4.50 each and one box of crackers that costs $3.50
The graph shows the distance traveled by a bicycle rider.
She moves at a constant speed. Find the slope of the line.
how is the year 2029 written as a roman numeral?
The year 2029 written as a roman numeral is MMXXIX.
What are Roman numerals?Roman numerals are mathematical representations of numbers in the Roman alphabet. Roman numerals are a numeral system that originated in ancient Rome and remained the standard way of writing numbers in Europe until the late Middle Ages.
Roman numerals are the symbols used in a system of numerical notation based on the ancient Roman system. The symbols are I, V, X, L, C, D, and M, which stand for 1, 5, 10, 50, 100, 500, and 1,000, respectively.
In this case, it should be noted that 2029 is MMXXIX.
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