Answer:
1362
Step-by-step explanation:
2000 - 638 = 1362
y = -4x + 1
Find the equation of the line:
Slope = -4, through (-2,9)
Could you please check the other question you put? Thanks!
A circle with circumference 20 has an arc with a 72º central angle.
What is the length of the arc?
Answer:
l = x · c / 360
l = 72 · 20 / 360
l = 1440 / 360
l = 4
Step-by-step explanation:
1. write down the arc length formula.
2. replace x and c by their values
3. multiply and then divide to get l
401(k) ~ Suppose a recent random sample of employees nationwide that have a 401(k) retirement plan found that 20% of them had borrowed against it in the last year. A local company is interested in assessing whether this proportion adequately describes the borrowing behavior of their employees. They take a random sample of 130 employees and find that 24 had borrowed from their plan. Conduct a
The local company conducted a sample survey to assess the borrowing behavior of their employees who have a 401(k) retirement plan. The national proportion of employees who borrowed against their 401(k) in the last year was 20%.
In order to determine if the local company's proportion of employees who borrowed against their 401(k) plan differs significantly from the national proportion of 20%, a hypothesis test can be performed.
The null hypothesis (H0) assumes that the local proportion is equal to the national proportion, while the alternative hypothesis (Ha) suggests that they are not equal. Using the sample data, the proportion of employees in the local company who borrowed is calculated as 24/130 ≈ 0.1846 or 18.46%.
A two-proportion z-test can be employed to compare the proportions. By comparing the test statistic (z-score) obtained from the sample data to the critical value(s) associated with the desired level of significance (e.g., 0.05), the decision can be made to either reject or fail to reject the null hypothesis.
Performing the hypothesis test will determine if the local company's proportion of employees who borrowed against their 401(k) significantly differs from the national proportion. This analysis helps the company assess whether the borrowing behavior in their organization deviates from the national trend and provides insights for potential adjustments or interventions if needed.
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Jose went to another store that has a sale of 25% off everything. He wants to buy jeans that cost $40. How much money will he save on the jeans?
Answer:
$30
Step-by-step explanation:
25% of $40 = $10
$10 is the discount price, i.e., $10 is 25% of $40
selling price - discount
= 40 - 10
= $30
Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?
Plz hurry D:
Answer:
I beleive Kasey can make 36 servings of gelatin. If you want you can check your answer by using the steps I provided.
Step-by-step explanation:
1. First we need to see how many times 1 1/3 can go into 8, or (how many gelatin molds can be filled. So, we will divide 8 divided by 1 1/3 to get (6.)
2. So, since we can fill 6 gelatin molds and each mold makes six servings, we will multiply 6 times 6 to get our answer 36.
Simplify the radical expression.
−4√160
A: -4√80
B: -4√16
C: -16√10
D: √10
Show your work
Answer:
c
Step-by-step explanation:
160 = 16 * 10 = 4 * 4 * 2 * 5 = 2 * 2 * 2 * 2 * 2 *5
\(-4\sqrt{160} = -4\sqrt{2*2*2*2*2*5}\\\\= -4*2*2\sqrt{2*5}\\\\= -16\sqrt{10}\)
Answer:
i just need points
Step-by-step explanation:
let an = 8n 4n 1 . (a) determine whether {an} is convergent.
The sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.
To determine whether the sequence {an} = {\(8n^4 + n + 1\)} is convergent, we need to examine the behavior of the terms as n approaches infinity.
The sequence {an} is said to be convergent if there exists a real number L such that the terms of the sequence get arbitrarily close to L as n approaches infinity.
To investigate convergence, we can calculate the limit of the sequence as n approaches infinity.
lim(n→∞) \((8n^4 + n + 1)\)
To evaluate this limit, we can look at the highest power of n in the sequence, which is \(n^4.\) As n approaches infinity, the other terms (n and 1) become insignificant compared to n^4.
Taking the limit as n approaches infinity:
lim(n→∞) \(8n^4 + n + 1\)
= lim(n→∞) \(8n^4\)
Here, we can clearly see that the limit goes to infinity as n approaches infinity.
Therefore, the sequence {an} = {\(8n^4 + n + 1\)} is not convergent. It diverges to infinity as n approaches infinity.
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8373+01274+93738939x937x058+938484
94We need to solve the next operation.
We need to take into consideration the rules of operations:
1. Parentheses
2. Exponents
3. Multiplication
4. Divison
5. Addition
6. Subtraction
Then, solve the given expression:
8373+01274+93738939*937*058+938484
Solve the multiplication 93738939*937*058
\(\begin{gathered} 93738939 \\ x\text{ }937 \\ ------------ \\ =87833385843 \\ \end{gathered}\)\(\begin{gathered} 87833385843 \\ x\text{ }058\text{ } \\ ------------ \\ =5094336378894 \end{gathered}\)Now, make the next sum 8373+01274+ +938484:
\(\begin{gathered} 938484 \\ 001274 \\ 008373 \\ ------------ \\ 948131 \end{gathered}\)Finally, make the next sum operation:
\(\begin{gathered} 5094336378894 \\ 0000000948131 \\ ------------- \\ 5094337327025 \end{gathered}\)Hence, the result of the operation is 5094337327025.
Assume that a sample is used to estimate a population mean μμ. Find the 90% confidence interval for a sample of size 739 with a mean of 68.1 and a standard deviation of 7.9. Enter your answer as a tri-linear inequality accurate to 3 decimal places.
< μμ
The 90% confidence interval is (67.239, 68.961). This can also be written as the trilinear inequality: `67.239 < μ < 68.961`.
We are given the sample size `n` = 739, sample mean `x` = 68.1, and sample standard deviation `s` = 7.9 to find the 90% confidence interval for a population mean μ using the formula below;$$\left(\bar{x}-z_{\frac{\alpha}{2}}\frac{s}{\sqrt{n}},\bar{x}+z_{\frac{\alpha}{2}}\frac{s}{\sqrt{n}}\right)$$where `zα/2` is the z-score such that the area under the standard normal distribution curve to the right of `zα/2` is `α/2` (α is the level of significance).
Therefore, to find `zα/2`, we can use the z-table or a calculator that can compute inverse normal probabilities.In this case, α = 0.1 since we are to find the 90% confidence interval.Thus,
α/2 =
0.1/2 = 0.05.Using the z-table, the z-score corresponding to a cumulative area of 0.95 is given as 1.64.The 90% confidence interval for the population mean μ can then be computed as;$$\left(68.1-1.64\frac{7.9}{\sqrt{739}},68.1+1.64\frac{7.9}{\sqrt{739}}\right)$$$$\left(67.239, 68.961\right)$$Therefore, the 90% confidence interval for the population mean μ is (67.239, 68.961). This can also be written as the trilinear inequality: `67.239 < μ < 68.961`.
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Please help me solve the question from below. It is from IM3 Algebra
The equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
To determine the solutions to the equation log₂(x - 1) = x³ - 4x, we can set the two expressions equal to each other:
log₂(x - 1) = x³ - 4x
Since we know that the graphs of the two functions intersect at the points (2, 0) and (1.1187, -3.075), we can substitute these values into the equation to find the solutions.
For the point (2, 0):
log₂(2 - 1) = 2³ - 4(2)
log₂(1) = 8 - 8
0 = 0
The equation holds true for the point (2, 0), so (2, 0) is one solution.
For the point (1.1187, -3.075):
log₂(1.1187 - 1) = (1.1187)³ - 4(1.1187)
log₂(0.1187) = 1.4013 - 4.4748
-3.075 = -3.0735 (approx.)
The equation is not satisfied for the point (1.1187, -3.075), so (1.1187, -3.075) is not a solution.
Therefore, the equation log₂(x - 1) = x³ - 4x has one solution at x = 2.
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Identify the absolute value of: |4|
A. - 2
B. - 4
C. 2
D. 4
Answer:
D. 4
Step-by-step explanation:
The absolute value of anything is just the positive form... it doesn't mater if it was originally a positive or negative.
Your parents are buying a house for 187500 they have a good credit rating are making a 20% down payment and are expect to pay 1575 a month the interest rate for the mortgage is 4.65% what must their realized income be before each month
Answer: the required realized income before each month for your parents to afford the mortgage payment would be approximately $261,940.70.
Step-by-step explanation:
To determine the required realized income before each month for your parents, we need to calculate the remaining mortgage amount after the down payment and the interest rate. The remaining mortgage amount is the purchase price minus the down payment.
Purchase price of the house: $187,500
Down payment (20%): 0.2 * $187,500 = $37,500
Remaining mortgage amount: $187,500 - $37,500 = $150,000
Now, we can use the remaining mortgage amount, the monthly payment, and the interest rate to calculate the required realized income.
Interest rate: 4.65% (expressed as a decimal: 0.0465)
Monthly payment: $1,575
To find the required realized income, we can use the formula for the monthly payment of a mortgage:
Monthly Payment = (Loan Amount * Interest Rate) / (1 - (1 + Interest Rate)^(-Number of Payments))
In this case, we need to solve the formula for the Loan Amount, which represents the required realized income.
Loan Amount = (Monthly Payment * (1 - (1 + Interest Rate)^(-Number of Payments))) / Interest Rate
Number of Payments per year: 12 (assuming monthly payments)
Number of Payments = Number of Years * Number of Payments per year
Assuming a 30-year mortgage:
Number of Years = 30
Number of Payments = 30 * 12 = 360
Now, let's substitute the values into the formula:
Loan Amount = ($1,575 * (1 - (1 + 0.0465)^(-360))) / 0.0465
Loan Amount ≈ $261,940.70
Rewrite the expression below by completing the square.
Answer:
correct me if I'm wrong......
cindy baught 1/4 amount of ribbon and jacob baught 7/8 amount of ribbon how much ribbon does jacob have
Answer:
0.875
Step-by-step explanation:
subtract the sum of 5/9 and -2/9 from the sum of 7/12 and -5/12
\( [\frac{7}{12} + ( - \frac{5}{12} )] -[ \frac{5}{9} + ( - \frac{2}{9} )] \\ \\ = [ \frac{7}{12} - \frac{5}{12} ] - [ \frac{5}{9} - \frac{2}{9} ] \\ \\ = [ \frac{7 - 5}{12} ] - [ \frac{5 - 2}{9} ] \\ \\ = \frac{2}{12} - \frac{3}{9} \\ \\ = \cancel \frac{2}{12} - \cancel \frac{3}{9} \\ \\ = \frac{1}{6} - \frac{1}{3} \\ \\ = \frac{1 - 2}{6} \\ \\ = - \frac{1}{6} \)
Hope This Helps You ❤️Answer:
\(\frac{-1}{6}\)
Step-by-step explanation:
\(Sum \ of \ \ \frac{5}{9} \ and \ \frac{-2}{9} =\frac{5}{9} + \frac{-2}{9} = \frac{5-2}{9} = \frac {3}{9} = \frac{1}{3}\)
\(Sum \ of \ \frac{7}{12} \ and \ \frac{-5}{12} = \frac{7}{12} \ + \ \frac{-5}{12} = \frac{7-5}{12} = \frac{2}{12} = \frac{1}{6}\)
\(subtract \ first \ from \ second = \frac{1}{6} - \frac{1}{3} = \frac{1 -2}{6} = \frac{-1}{6}\)
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals. (10 points)
Look at the rectangle and the square:
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 16 inches, and the width QR is labeled as 8 inches. The side LM of the square is labeled as 8 inches
When Ada says that the length of diagonal SQ is two times the length of diagonal OM she incorrect
How to know if Ada is correctInformation in the question include a rectangle of length = 16 inches and width = 8 inches
the diagonal is the hypotenuse solved using Pythagoras theorem
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
x² = 16² + 8²
x² = 320 (for SQ)
for the square, the hypotenuse is the diagonal, then using Pythagoras we have
x² = 8² + 8²
x² = 128 (for SR)
2 times SR = 2 * 128 = 256 is not equal to 320 hence Ada is wrong
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The age and hourly pay of five employees in a store are shown in the table
age Hourly pay
16 10
18 10.25
18 12.50
20 14
22 15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year
Answer:
18$
Step-by-step explanation:
0.9*25-4.5= 18
Answer:
18
Step-by-step explanation:
I did the maps test
2/3x-1/5x=x-1 what is x
The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.
To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:
Combine like terms on the left side of the equation:
(2/3 - 1/5)x = x - 1
Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:
(10/15 - 3/15)x = x - 1
Simplify the left side of the equation:
(7/15)x = x - 1
To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:
15 * (7/15)x = 15 * (x - 1)
This simplifies to:
7x = 15x - 15
Subtract 15x from both sides of the equation to isolate the x term:
7x - 15x = -15
Simplifying further:
-8x = -15
Divide both sides of the equation by -8 to solve for x:
x = (-15) / (-8)
Simplifying the division:
x = 15/8
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Answer question with steps get brainliest! Please answer ASAP with steps. Use picture above
20
x
9
i need help please!!
Answer:
20 x 9 is 180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
hope it helps u
and thx
subtract.
1.)5-9
2.)7-13
3.)-5-4
4.)-7-9
5.)3-(-7)
6.)8-(-4)
7.)-9-(-5)
8.)-5-(-7)
9.)9-(-5)
10.)17-12
11.)2-7
12.)-9-3
13.)-6-(-9)
14.)8-(-5)
15.)-3-10
16.)-21-(-5)
17.)19-32
18).25-7
19.)-18-(-19)
20.)43-(-15)
21.)28-41
22.)-32-15
23.)-11-(-42)
24.)-53-24
25.)42-(-9)
26.)83-105
27.)-15-29
28.)-5-(-41)
29.)18-75
30.)-18-75
Answer:
5-9=4 bc you take away 5 from 9
Need Help here Please!
Answer:
Step-by-step explanation:
To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:
a) To find the value of \(\sf 3(x - y) \\\):
\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)
b) To find the value of \(\sf 6x - 6y \\\):
\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)
c) To find the value of \(\sf y - x \\\):
\(\sf y - x = - (x - y) = -4 \\\)
Therefore:
a) The value of \(\sf 3(x - y) \\\) is 12.
b) The value of \(\sf 6x - 6y \\\) is 24.
c) The value of \(\sf y - x \\\) is -4.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
When asked to factor 90x – 15, Anne gave (5x-3)(x+5) as her answer. Brenda told her that this is wrong. Help Anne factor the given by showing the complete process.
Answer:
15(6x - 1)
Step-by-step explanation:
90x – 15
15(6x - 1) [Distributive property]
Enter the solutions from least to greatest. (x +1)(3x +4)=0 urgent i need help
Answer:
x = - \(\frac{4}{3}\), x = - 1
Step-by-step explanation:
Given
(x + 1)(3x + 4) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - \(\frac{4}{3}\)
Solutions from least to greatest are
x = - \(\frac{4}{3}\) , x = - 1
Find the value of f(-3)f(−3).
observations consisting of pairs of variable data are required to construct a ________ chart.
Observations consisting of pairs of variable data are required to construct a scatter plot chart. A scatter plot chart is a graphical representation of the relationship between two variables.
One variable is plotted on the horizontal axis, while the other variable is plotted on the vertical axis. Each point on the chart represents an observation or data point consisting of a pair of values for the two variables being plotted. The scatter plot chart is useful for identifying patterns, trends, and relationships between the variables. It can also be used to detect outliers or unusual observations that do not follow the general pattern of the data.
The scatter plot chart can be enhanced by adding regression lines or trend lines, which provide a visual representation of the linear relationship between the two variables. Overall, the scatter plot chart is a powerful tool for analyzing and understanding the relationship between two variables in a dataset.
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Observations consisting of pairs of variable data are required to construct a scatter chart.
A scatter chart is a graphical representation of a set of observations where one variable is plotted on the x-axis and the other variable is plotted on the y-axis. Scatter charts are useful in identifying patterns and relationships between the two variables. The strength and direction of the relationship between the variables can be determined by examining the pattern of the scatter chart. If the data points are tightly clustered around a straight line, then there is a strong linear relationship between the two variables. On the other hand, if the data points are scattered without any pattern, then there is no relationship between the two variables. Scatter charts are commonly used in scientific research, marketing analysis, and other fields where two variables need to be analyzed simultaneously.
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Mrs. Lockhart goes to dinner with her 10 besties and they spend $330 on their dinner. How much would their total cost be if they leave a 20% tip?
Answer:
The answer would be 396 if it's plus a tip
Nationwide Magazine sells 63,000 subscriptions on account in March. The subscription price is $14 each. The subscriptions start in April. The journal entry in March would include a:
A) debit to Unearned Subscription Revenue for $882,000.
B) debit to prepaid subscriptions for $882,000.
C) credit to Cash for $882,000.
D) credit to Unearned Subscription Revenue for $882,000.
The journal entry in March would include a debit to Unearned Subscription Revenue for $882,000. When 63,000 subscriptions are sold by Nationwide Magazine on account in March, the journal entry will include a debit to Unearned Subscription Revenue for $882,000
Why is this the case?This is the case because the subscribers have yet to receive the magazines. As a result, the income from these subscriptions has yet to be recognized because it has not yet been earned. In other words, revenue is deferred, and the magazine company has an obligation to provide the magazines to the subscribers.
To summarize, the journal entry for Nationwide Magazine when it sells 63,000 subscriptions on account in March will include a debit to Unearned Subscription Revenue for $882,000.
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Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.
Answer: Store B
Step-by-step explanation:
a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.
Answer:
Cylinder Volume = π • r² • height
Volume = PI * .210 m^2 * 5
Volume = 0.6927211801 cubic meters
Wood has a mass of 693 / cubic meter
mass = 0.6927211801 * 693 = 480.06 kilograms
Step-by-step explanation: