Answer:
C
Step-by-step explanation:
like I said, find the square area and subtract the triangles.
28 x 28= 784
Find the dimensions of the triangles. Since the surrounding shape is a square, the legs should be equal in length.
28-11.6=16.4
16.4/2=8.2
8.2 is the leg's length.
8.2*8.2*1/2*4=134.48
Subtract it to the square's area. 784-134.48= 649.52
Now round!
You get C
In 2010 you purchased your home for $264,000. Today, you sold your home for $389,000. You have purchased a new home for $428,000 and have put down a deposit of 20%. How much money do you have left over from the selling of your home?
-$217,400 is the amount of money needed to cover the purchase of your new home by selling the old house at $389,000.
Cost of home = $264,000
Selling price = $389,000
Purchase price of new home = $428,000
Deposit percentage = 20%
The total amount received from selling the house is:
The amount received from the sale = selling price - purchase price
The amount received from sale = $389,000 - $264,000
Amount received from sale = $125,000
The amount spent on the new home is:
Amount spent on new home = purchase price - deposit
Amount spent on new home = $428,000 - 20% of $428,000
Amount spent on new home = $428,000 - $85,600
Amount spent on new home = $342,400
Finally, the leftover money is calculated as:
The amount left over = amount received from sale - the amount spent on a new home
The amount left over = $125,000 - $342,400
Amount left over = -$217,400
The negative amount indicates that you did not have enough money from the sale of your old home to cover the purchase of your new home.
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increase 200 by 50%
pls give simple worrking out :)
Answer:
300
Step-by-step explanation:
1.5*200 = 300
Cool.
For questions 1 - 8, find f-'(x), the inverse of f(x). 1. f(x)= x + 12 2. f(x)= -2 3. f(x)=2x +12 4. f(x)= 3x -4 5. f(x)= 2x + 3 6 6. f(x)=
Answer:
1) inverse: x - 12
2) inverse: 3x + 6
3) inverse: x/2 - 6
4) inverse: x/3 + 4/3
5) inverse: 3x - 3/2
6) inverse: -3x/2 + 15/2
7) inverse: x/5 - 3
8) inverse: 2x/5 + 1/5
explain how to find cot, sec, csc
Answer:
The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x . = tan 5π 4
plz give brainliest
Step-by-step explanation:
The law of cosines for TriangleRST can be set up as 52 = 72 + 32 – 2(7)(3)cos(S). What could be true about TriangleRST? Law of cosines: a2 = b2 + c2 – 2bccos(A) r = 5 and t = 7 r = 3 and t = 3 s = 7 and t = 5 s = 5 and t = 3
Answer:
D on edg
Step-by-step explanation:
Answer: OPTION D
Step-by-step explanation:
(01.02 HC) Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? PLEASE HELP
Answer:
Step-by-step explanation:
Given expression
7.50h + 0.20s + 40
A)
Coefficients are 7.50 and 0.20
Variables are h and s
Constant=40
B) if Corinne works for 25 hours and selling $300 in magazine
Weekly earnings = 7.50h + 0.20s + 40
=7.50(25) + 0.20(300) + 40
= 187.5 + 60 + 40
=$287.5
C)
If Corinne starts earning $9 per hour.
Original expression
7.50h + 0.20s + 40
New expression
9h + 0.20s + 40
The coefficient of h will change because of the increase in earnings per hour
Coefficients are 9 and 0.20
Use the given data set to complete parts (a) through (c) below. (Use α = 0.05.) X 10 7.47 8 6.76 13 12.75 y Click here to view a table of critical values for the correlation coefficient. a. Construct
In this problem, we are provided with a data set. To solve this problem, we have to construct a scatter plot, find the correlation coefficient and its critical value at α=0.05, and then test the hypothesis \(H0: ρ=0\) against \(Ha: ρ≠0.\)
Below are the steps to solve this problem:
Step 1: Construct a scatter plotThe scatter plot for the given data is shown below:
Step 2: Find the correlation coefficientUsing a calculator, we can find the correlation coefficient as follows:
We get \(r ≈ 0.816\)
Step 3: Find the critical value for correlation coefficientAt \(α=0.05\), the critical values of correlation coefficient are -0.632 and 0.632.
We need to find the critical value for two-tailed test. Since \(α = 0.05\) is a level of significance, the confidence level is \(1 - α = 0.95\).
The critical value for two-tailed test is 0.632.
Step 4: Test the hypothesis Hypothesis:\(H0: ρ=0Ha: ρ≠0\)The test statistic is given \(byz = [ln(1 + r) - ln(1 - r)] / 2\)
We have\(r = 0.816, soz = [ln(1 + 0.816) - ln(1 - 0.816)] / 2 ≈ 3.018\)The critical value for two-tailed test is 0.632. Since the absolute value of the test statistic is greater than the critical value, we reject the null hypothesis. Thus, we conclude that there is significant evidence to suggest that there is a linear relationship between X and Y.
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A and B are n x n matrices. The determinant of A is the product of the diagonal entries in A. true or false?
The given statement "A and B are n x n matrices. The determinant of A is the product of the diagonal entries in A" is False because the product of the diagonal entries in A for n x n matrix will not be equal to determinant of A.
The determinant of a matrix is a scalar value that can be calculated using a specific formula. The formula for finding the determinant of an n x n matrix involves finding the sum of products of the elements in certain combinations of rows and columns.
The product of the diagonal entries is only one element in the calculation of the determinant of a matrix, and it is not equal to the determinant unless the matrix has all zeros except on the diagonal.
For example, consider the following 2x2 matrices:
A = [2 3; 4 5]
B = [1 0; 0 1]
The determinant of A is (25) - (34) = -2
The product of the diagonal entries in A is 2*5 = 10, which is not equal to the determinant.
The determinant of B is (11) - (00) = 1
The product of the diagonal entries in B is 1*1 = 1, which is equal to the determinant.
Therefore, the statement "The determinant of A is the product of the diagonal entries in A" is false in general, and the determinant of a matrix is typically calculated using a more involved formula that takes into account all the elements in the matrix.
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Solve the linear equation x/3-7=-5
Answer:
x = 6
Step-by-step explanation:
\(\frac{x}{3} -7=-5\)
→ Add 7 to both sides
\(\frac{x}{3} =2\)
→ Multiply both sides by 3
x = 6
Rewrite the expression using the Distributive Property.
5 (6 + 12)
Group of answer choices
1 + 7
12
30 + 60
11 + 17
The Cabrera family makes $92,800 annually and has 2 children. The state in which they live allows a
$2,000 deduction for married couples and $900 for each dependent or child. The tax rate is 4.8%. What is
their annual state income tax?
Their annual state income tax could be $4050 if there is $2,000 deduction for married couples and $900 for each dependent or child.
What is percentage?
percentage can be defined as the product of ratio of given value , total value and hundred.
Given,
The Cabrera family makes $92,800 annually and has 2 children. The state in which they live allows a $2,000 deduction for married couples and $900 for each dependent or child. The tax rate is 4.8%.
As it is a family so $2,000 deduction for married couples
and they are having two childs so we will deduct another $1800 .
so now the actual amount = $92800 - $2000 - $1800
Amount = $90000
The tax rate = 4.5%
that is amount to be paid = 4.5 % of 90000
= 4.5 / 100 * 90000
= 45/1000 * 90000
= 45 * 90
= 4050
Hence, Their annual state income tax could be $4050 .
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Find the exact value of sin 315º in simplest form with a rational denominator.
Answer: - √2
Step-by-step explanation:
please answer to this fast !!
To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.
What is the profit ?Profit is the difference between the total revenue and total cost of a business. It is an important measure of the success of a business, as it shows how much money the business is making from its operations. Profit is usually expressed as a percentage of the total revenue. It is also known as "net income" or "net profit" and is the amount of money left over after all expenses, including taxes, have been paid. Profit is important because it allows a business to reinvest in itself, expand, and grow. It can also be used to pay dividends to shareholders, increase wages, and cover other expenses.
To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price. This is because if the shopkeeper was gaining 20% before, a 10% discount would reduce the profit he is making to 10%.
Lets 20% gain = $20
Then market price be = 120/100 = $120
10% gain = $110
Discount = $120 - $110
= $10
Discount % = 10/120
= 0.083
= 8.33%
Thus, To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.
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the mean of the deviation scores in any data distribution is also known by research scientists as what
The mean of the deviation scores in any data distribution is also known by research scientists as the mean deviation or the average deviation. It is a measure of the average distance of each data point from the mean of the distribution.
The mean deviation is calculated by finding the absolute difference between each data point and the mean, adding up these differences, and dividing by the number of data points. Unlike the standard deviation, the mean deviation gives equal weight to each data point and is less affected by outliers.
However, it is not as commonly used as the standard deviation because it does not have the same statistical properties and is not as easily interpreted in terms of probability distributions.
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what is g(0) the graph of f(x) consists of four line segments
Given that the graph of f(x) consists of four line segments .We need to find g(0).We know that g(x) is defined as follows that there are four line segments on the graph of f(x).We must ascertain g(0).
\($$g(x) = \begin{cases} 3x + 1,& x < 0\\ 2x - 1,& 0 \le x < 2\\ -x + 5,& x \ge 2\end{cases}$$\)
We have to evaluate g(0).The value of g(0) will be equal to 2x - 1 when x is equal to 0.
Since 0 is in the interval 0 ≤ x < 2, we use the second equation of the piecewise function to evaluate g(0).So, g(0) = 2(0) - 1 = -1Therefore, g(0) is equal to -1.
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the height of chance's beanstalk decreases by 50% per day when he stops feeding it. chance's beanstalk is 20 inches tall when he stops feeding it.
When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
What is unitary method?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Consider your square as being composed of smaller unit squares.
The number of unit squares necessary to completely cover the surface area of a specific 2-D shape is used to calculate the area of a figure. Some typical units for measuring area are square cms, square feet, square inches, square meters, etc.
Draw unit squares with 1-centimeter sides in order to calculate the area of the square figures shown below. The shape will therefore be measured.
Hence, When Chance stops feeding the beanstalk, it loses half its height every day. Chance's beanstalk grows to a height of 20 inches after he stops feeding it= 20.5^t
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Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Evaluate 2x + 12.5y if x=10 and y=4.
Answer: 70
2x + 12.5y
2*10 + 12.5*4
20 + 50
70
Two angles have measures of 6315' 47" and 116°44'13" The angles are
complementary
supplementary
neither complementary or supplementary
A person invested $610 in an account growing at a rate allowing the money to double
every 6 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $11, 620?
34 years would it take for the value of the account to reach $11, 620 by using compounding.
What is compounding?Compounding is the process through which earnings from an asset, such as interest or capital gains, are reinvested to produce more earnings over time. The investment will produce earnings from both its initial principal and the accumulated earnings from prior periods, resulting in this growth, which was computed using exponential functions.
The first statement tells you the account balance can be modeled by
A = 610 x \(2^{\frac{t}{6}\)
Here t is in years
We want to find t when A = 11620
11620 = 610x(\(2^{\frac{t}{6}\))
Divide by 610
19.05 = \(2^{\frac{t}{8}\)
Take logarithm
log(19.05) = (t/8)log(2)
t = 8·log(19.05)/log(2)
≈34
It would take about 34 years for the value to reach $11620.
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A sample of 34 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.
H0: μ ≤ 26
H1: μ > 26
a.Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
b.What is the decision rule?
Reject H0 when z > 1.645
Reject H0 when z ≤ 1.645
c.What is the value of the test statistic? (Round your answer to 2 decimal places.)
d.What is your decision regarding H0?
Reject H0
Fail to reject H0
e-1) What is the p-value? (Round your answer to 4 decimal places.)
e-2)Interpret the p-value? (Round your final answer to 2 decimal places.)
a. The alternative hypothesis (H1) specifies that is greater than 26, indicating a directed alternative, this is a one-tailed test.
b. The alternative hypothesis is one-sided and argues that > 26, hence the critical value is 1.645.
c. The value of the test statistic (z-score) is z ≈ 3.82.
d. We reject the null hypothesis (H0) because the test statistic (z = 3.82) is higher than the crucial value (1.645).
In this case, the p-value is the probability of observing a sample mean of 28 or greater, assuming the population mean is 26.
a. This is a one-tailed test because the alternative hypothesis (H1) states that μ is greater than 26, indicating a directional alternative.
b. The decision rule for a one-tailed test at a significance level of 0.05 is to reject the null hypothesis (H0) if the test statistic is greater than the critical value. In this case, the critical value is 1.645 because the alternative hypothesis is one-sided and states that μ > 26.
c. The value of the test statistic (z-score) can be calculated using the formula:
z = (x - μ) / (σ / √n)
where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case:
x = 28
μ = 26
σ = 4
n = 34
Substituting the values into the formula:
z = (28 - 26) / (4 / √34) ≈ 3.82
d. Since the test statistic (z = 3.82) is greater than the critical value (1.645), we reject the null hypothesis (H0).
e-1. To calculate the p-value, we need to find the area under the standard normal distribution curve to the right of the test statistic (z = 3.82). We can use a standard normal distribution table or a calculator to find this area.
The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) under the null hypothesis.
e-2. Interpreting the p-value: The p-value represents the probability of obtaining a sample mean as extreme as the one observed (or more extreme) if the null hypothesis is true.
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Are these equations equivalent? 4x-12y=16 and 2x-6y=8
Answer: yes
Step-by-step explanation:
the 2nd can be reached by dividing it by 2
Answer:
Below.
Step-by-step explanation:
Yes, because if we divide the first one by 2 we get the second equation:
4x/2 - 12y/2 = 16/2
= 2x - 6y = 8
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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Directions: Use trig ratios to find the identified missing side or angle for each problem. (the problems with “ ! “ -that’s the Greek symbol for missing angle, that’s the angle you need to find)
Please assist
Answer:
1) 22.6
2) 8.12
Step-by-step explanation:
To find angles, use the trig functions but then take the inverse of them
To find side lengths, use trig functions as normal
I solved for the first two problems (a missing angle and a missing side length) so hopefully you can use that to solve the others :)
Ben plants 6 rows of roses, with the same number of roses in each row.
Answer/Step-by-step explanation:
r are roses,
r + 6
Ben plants 6r
[RevyBreeze]
Ryan sees this special offer.
The normal price is £180 What is 1/3 of £180?
Write your working and your answer in the box below.
Answer:
60
Step-by-step explanation:
1/3 of 180 is 60...bshsjka
solve the equation for t
Answer:
t= -3.7
Step-by-step explanation:
1. 5( t+3)= -3.5
2. 5t+15= -3.5
3. 5t= -18.5
4. t= -3.7
Write an equation in slope-intercept form of the line satisfying the following conditions. through (6,9); perpendicular to x = 8
Answer:
y = 9
Step-by-step explanation:
it's perpendicular to x = 8 which is a vertical line, so our line will be horizontal line with slope 0 and it goes through (6,9) so at x = 6, y =9
but since the line is horizontal, (slope = 0) it must have the same y-value at all x- points so,
the equation is y = 9
The equation is :
↬ y = 9Solution:
If two lines are perpendicular, their slopes are opposite reciprocals of each other.
Since we have a vertical line, its slope is undefined. Now, remember the definition of perpendicular lines. They intersect at a right angle.
And the line that is perpendicular to a vertical line is a horizontal line, which has a slope of 0.
Lines with 0 slope have the appearance of y = b where b is the y intercept.
Now there are two ways to find the y-intercept, which are :
Using point slope and simplifying all the way to slope interceptPlugging in (6, 9) into \(\bf{y=b}\) and solving for b.Allow me to demonstrate the first one.
Method 1. Point slope
Point slope is \(\bf{y-y_1=m(x-x_1)}\).
Plugging in the numbers \(\bf{y-9=0(x-6)}\)
Simplifying \(\bf{y-9=0}\)
Simplifying further
\(\bf{y=9}\)
Hence, the equation is \(\bf{y=9}\).which branch of statistics deals with the organization and summarization of collected information?
The branch of statistics that deals with the organization and summarization of collected information is called Descriptive Statistics.
Descriptive Statistics involves the methods and techniques used to describe and summarize data in a meaningful way, providing insights and understanding about the characteristics of the data set.
In Descriptive Statistics, the focus is on organizing, presenting, and summarizing data through various measures such as central tendency (mean, median, mode), dispersion (range, variance, standard deviation), and graphical representations (histograms, bar charts, pie charts).
It aims to provide a concise and informative summary of the data, allowing researchers or analysts to gain a better understanding of the data set and draw meaningful conclusions.
Descriptive Statistics plays a crucial role in the initial stages of statistical analysis by providing a clear and concise overview of the data, enabling researchers to identify patterns, trends, and important features of the data set. It serves as a foundation for further statistical analysis and helps in making informed decisions based on the collected information.
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determine whether the given graph is a function or not.
Answer:
Function
Step-by-step explanation:
Yes, the graph is a function. For each x value, there is a unique y value that corresponds with it.
A graph can also be tested as a function by using the popular "vertical-line test".