Answer: x ≥ $30.
Where x is the amount of money that you need to spend if you want to have the 3 free songs.
Step-by-step explanation:
When you spend $45 or more, you get 3 free songs.
You already bought an album that costs $15, then the minimum amount that you need to spend is (when you spend exactly $45):
$45 - $15 = x = $30.
Then the inequality is:
x ≥ $30.
Because if you spend more than $45 you also get the songs.
find p(the trip will take 25 minutes)
The values of the probabilities are 4/7, 2/7 and 5/7
How to determine the values of the probabilitiesp(the trip will take 25 minutes)
From the question, we have the following parameters that can be used in our computation:
25 minutes = 8
Total = 14
So, we have
P(25 minutes) = 8/14 = 4/7
p(the trip will take 20 minutes)
From the question, we have the following parameters that can be used in our computation:
20 minutes = 4
Total = 14
So, we have
P(20 minutes) = 4/14 = 2/7
p(the trip will take atleast 25 minutes)
From the question, we have the following parameters that can be used in our computation:
At least 25 minutes = 8 + 2 = 10
Total = 14
So, we have
P(At least 25 minutes) = 10/14 = 5/7
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The weights of dogs in a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 17.2 pounds. Use a standard normal distribution curve to find each probability.
8. P(z<-0.8)
9. P(z>1.32)
10. P(-2.8 51)
12. P(35 85)
The solution is, the probability is, 0.5532.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
P( 31<X<35.7)
P(X>31)= P(Z>(31-μ)/σ)
= P(Z>(31-34.6)/2.8)
= P(Z> -1.2857)
P(X<35.7)= P(Z<(35.7-μ)/σ)
= P(Z<(35.7-34.6)/2.8)
=P(Z< 0.392857)
From z-distribution table
P(Z< -1.29)= 0.09853
p(Z< 0.39) = 0.65173
P( 31<X<35.7)= P(Z<0.39)- P(Z<-1.29)
= 0.65173- 0.09853
=0.5532
Hence, The solution is, the probability is, 0.5532.
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Which pair of ratios can form a true proportion? A. seven fourths, Start Fraction 21 over 12 End Fraction B. Start Fraction 6 over 3 End Fraction, start fraction 5 over 6 end fraction C. start fraction 7 over 10 end fraction, start fraction 6 over 7 end fraction D. start fraction 3 over 5 end fraction, start fraction 7 over 12 end fraction
The pair of ratios that can form a true proportion is D. Start Fraction 3 over 5 End Fraction, Start Fraction 7 over 12 End Fraction.
To determine which pair of ratios can form a true proportion, we need to check if the cross-products of the ratios are equal.
Let's evaluate each option:
A. Start Fraction 7 over 4 End Fraction, Start Fraction 21 over 12 End Fraction
Cross-products: 7 × 12 = 84 and 4 × 21 = 84
Since the cross-products are equal, option A forms a true proportion.
B. Start Fraction 6 over 3 End Fraction, Start Fraction 5 over 6 End Fraction
Cross-products: 6 × 6 = 36 and 3 × 5 = 15
The cross-products are not equal, so option B does not form a true proportion.
C. Start Fraction 7 over 10 End Fraction, Start Fraction 6 over 7 End Fraction
Cross-products: 7 × 7 = 49 and 10 × 6 = 60
The cross-products are not equal, so option C does not form a true proportion.
D. Start Fraction 3 over 5 End Fraction, Start Fraction 7 over 12 End Fraction
Cross-products: 3 × 12 = 36 and 5 × 7 = 35
The cross-products are not equal, so option D does not form a true proportion.
Therefore, the only pair of ratios that forms a true proportion is option A: Start Fraction 7 over 4 End Fraction, Start Fraction 21 over 12 End Fraction.
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can you please quick solve this, thank you:))
3x+2y=5
2x+2y=4
Answer:
(x,y)=(1,1)
Step-by-step explanation:
got it right on a test
Answer:
X=+4
y=-2
Step-by-step explanation:
this is simultaneous equations
hence,
using elimination method
3x+2y=5
2x+2y=4
2y eliminates 2y
3x+2x=5x=5*4
5x=20
X=20/5
X=+4
(2)
to find "y"
take any of the equation above
using equ(2)
2x+2y=4
2(4)+2y=4
+2y=+4-8
+2y=-4
y=-4/2
y=-2
hope it useful!
Write (2x – 1) (3x – 1) in standard form.
Answer:
6x^2-5x+1
Step-by-step explanation:
Use the foil method:
multiply 2x with 3x and -1.
then multiply -1 with 3x and -1
when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables
Answer the question below
find the area of this triangle
Answer: a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.
Step-by-step explanation:
We will use the Pythagorean Theorem.
a²+b²=c²
c² is the longest side, so 8cm.
lets make the bottom side b², so 3cm
We are trying to find h, so let's make that a².
Applying the Theorem:
a²+3²=8²
--- a² + 9 = 64
subtract 9 from both sides.
-- a² = 55
Take the square root of both sides
a is about 7.416, rounding to two significant digits, 7.4, to one significant digit, 7.
Answer:
22.249 cm^2 (THIS IS ROUNDED)
Step-by-step explanation:
to find the area we first need to find h using Pythagorean theorem
a^2+b^2=c^2
We need to isolate a^2 on one side
a^2+b^2=c^2
-b^2. -b^2
a^2=c^2-b^2
a^2=8^2-3^2
a^2=64-9
a^2=55
√. √
a=7.416
Now we multiply by 3 to find the area
7.416x3
About 22.249 cm^2
Hopes this helps
a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?
If the expected value of d is not equal to d, then the property that d hat exhibit is option (E) d hat is biased
Here a certain statistic d cap is being used to estimate a population parameter d
The central limit theorem states that "the distribution of sample means approximates a normal distribution as the sample size gets larger."
According to the central limit theorem,
The expected value is μ = p
Then the standard error will be
s = \(\sqrt{\frac{p(1-p)}{n} }\)
Here it is given that the expected value of d cap is not equal to d. So it is different from the expected value μ = p.
Therefore, the d hat is biased
I have answered the question in general, as the given question is incomplete
The complete question is :
A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?
A. The sampling distribution of d hat is normal.
B. The sampling distribution of d hat is binomial.
C. The sampling distribution of d hat is uniform.
D. d hat is unbiased.
E. d hat is biased.
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below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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Research Case 4-5 (Static) FASB codification: locate and extract relevant information and cite authoritative support for a financial reporting issue; restructuring costs; exit or disposal cost obligations [LO4-2, 4-3) Access the FASB Accounting Standards Codification at the Fasa website www.asb.org). Determine each of the following: Research Case 4-5 (Static) FASB codification; locate and extract relevant information and cite authoritative support for a financial reporting issue; restructuring costs; exit or disposal cost obligations (Part 1) Pint Hences Required: The tople number (Topic XXX) that addresses exit or disposal cost obligations: Yopilo 2. The specific eight-digit codification citation (XXX-XXXXX) that addresses the initial measurement of these obligations Tople Paragraph Salced 3. The amount for which these obligations and related costs are measured Abity for a cod with an out or disposal dictivity issued att Book Print erences 4. The specific eight-digit codification citation (XXX-XX-XX-X) that describes the disclosure requirements in the notes to the financial statements for exit or disposal obligations Tople Subtopic Section Paragraph
According to ASC 420 Exit or Disposal Cost Obligations, exit or disposal cost obligations are liabilities that arise from one-time termination benefits provided to employees, costs associated with closing a facility, and other expenses incurred as a result of an exit or disposal activity.
These obligations are recognized and measured based on the principles of other applicable GAAP.
The relevant topic number for exit or disposal cost obligations is Topic 420. The specific eight-digit codification citation (XXX-XXXXX) that addresses the initial measurement of these obligations is 420-10-25-1. This paragraph notes that the fair value of the liability at the initial recognition date is the amount for which these obligations and related costs are measured.
The amount for which these obligations and related costs are measured is determined based on the fair value of the liability at the initial recognition date. This amount includes the estimated costs associated with employee severance arrangements, lease termination fees, and other direct costs associated with the exit or disposal activity.
The specific eight-digit codification citation (XXX-XX-XX-X) that describes the disclosure requirements in the notes to the financial statements for exit or disposal obligations is 420-10-50-2. This paragraph requires entities to disclose information about the nature and scope of the exit or disposal activity, including its timing, the expected completion date, the associated costs, and any significant uncertainties or risks that could affect the outcome or timing of the activity.
In summary, under ASC 420, exit or disposal cost obligations are recognized and measured based on their fair value at the initial recognition date. Entities are required to disclose information about the nature and scope of the exit or disposal activity, as well as any significant uncertainties or risks that could affect the outcome or timing of the activity.
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What is the discriminant of the quadratic equation 0 = -x² + 4x − 2?
Answer: 8
Step-by-step explanation:
The discriminant is \(b^2-4ac\)
in the equation:
\(-x^2+4x-2\)
A = -1, B = 4, C = -2
plug into equation
\(4^2-4(-1)(-2)\)
\(16-8\)
⇒ \(8\)
A rectangle’s length is three times its width, w. Its area is 243 square units. what would the equation be to find the width of the rectangle?
Answer:
3w² = 243
Step-by-step explanation:
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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the proposals are independent, which one(s) should she select at MARR =15.5% per year? 2. If the proposals are mutually exclusive, which one should she select at MARR =10% per year? 3. If the proposals are mutually exclusive, which one should she select at MARR =14% per year?
To determine which proposal(s) to select, we need to compare the present worth or net present value (NPV) of each proposal. The NPV represents the difference between the present value of cash inflows and outflows for each proposal.
For independent proposals at MARR = 15.5% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 15.5%.
Select the proposal(s) with a positive NPV. Positive NPV indicates that the project's expected cash inflows exceed the initial investment and the MARR.
For mutually exclusive proposals at MARR = 10% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 10%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
For mutually exclusive proposals at MARR = 14% per year:
Calculate the NPV for each proposal using the cash inflows and outflows and discounting them to present value using the MARR of 14%.
Select the proposal with the highest positive NPV. The proposal with the highest positive NPV indicates the project that generates the highest expected return or value relative to the MARR.
It's important to note that the specific details of the proposals, including cash inflows, outflows, and timing, are needed to calculate the NPV accurately. Without this information, it is not possible to provide a definitive answer.
Evaluate The Polynomial Function For The Given Values Of The Variable. P(W)=6w2−20w+2; Find P(6) And P(0) P(6)=349
The value of P(0) and P(6) of The Polynomial Function above are 2 and 253/2 respectively.
Polynomial function refers to the algebraic expression that consists of several terms.
Polynomial function can be of different degrees, like linear polynomial (degree 1), quadratic polynomial (degree 2), cubic polynomial (degree 3), and so on.
The given polynomial function is P(w) = 6w² - 20w + 2.
To find P(6), substitute w = 6 in P(w).
Therefore,P(6) = 6(6)² - 20(6) + 2P(6) = 6(36) - 120 + 2P(6) = 216 - 120 + 2P(6) = 96
Adding P(6) = 349 to this equation, we get:2P(6) = 349 - 96 = 253
Therefore, P(6) = 253/2
Now, to find P(0), substitute w = 0 in P(w).
Therefore, P(0) = 6(0)² - 20(0) + 2 = 2
Therefore, P(0) = 2
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Match the polynomial with its correct descriptive feature 3x^2-y^4
Answer: C) Fourth Degree Binomial
Step-by-step explanation:
D) is incorrect because the expression has a degree of 4, not 6
B) is incorrect because this expression is in the 4th degree.
While A) is true, this is not a descriptive feature of the graph
C) is the correct answer because the equation is in the 4th degree (highest exponent in 4) and this gives us information about the graph's features.
PLEASE MARK BRAINLIESTSubstitute the given side lengths into the equation for the Pythagorean Theorem.
Answer:
15 is the missing side (hypotenuse)h
Step-by-step explanation:
A^2+b^2=c^2
9^2+12^2=c^2
81+144=c^2
225=c^2
15=c
simplify each expression. 3x + 7 + 4x - 2
Answer: 3x+7+4x-2
Step-by-step explanation: 3x+4=7x
7-2=5
so the answer should be 7x+5
The National Vulnerability Database (NVD) is responsible for actively performing vulnerability testing for every company's software and hardware infrastructure. Is this statement true or false
The statement that the National Vulnerability Database (NVD) is responsible for actively performing vulnerability testing for every company software and hardware infrastructure is false.
The National Vulnerability Database (NVD) is a repository of security vulnerabilities and related information. It serves as a comprehensive database that provides information on known vulnerabilities in various software and hardware products. However, the NVD itself is not responsible for actively performing vulnerability testing for every company's software and hardware infrastructure.
Vulnerability testing is typically conducted by individual companies, organizations, or specialized security firms. Companies and organizations perform their own vulnerability testing or hire external professionals to assess and identify vulnerabilities in their software and hardware systems. They may use a variety of methods, such as penetration testing, code reviews, and vulnerability tools, to uncover potential security weaknesses.
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what is the missing side length in the triangle below
Please give me step-by-step explanation please :’))
Answer:
45
Step-by-step explanation:
Help
4. Find the center and radius of the circle (x - 2)2 + (Y - 6)2 = 8.
(2,6); 2/2
O (2,6); 64
O (-2,-6); 2/2
O (2,6); 4/2
Answer:
Center = (2, 6)
Radius \( =2\sqrt 2\)
Step-by-step explanation:
\((x - 2)^ 2 + (y- 6)^ 2 = 8 \\ \\ (x - 2)^ 2 + (y- 6)^ 2 = {(2 \sqrt{2} )}^{2} \\ \\equating \: it \: with \\ \\ (x - h)^ 2 + (y- k)^ 2 = {r}^{2} \\ \\ h = 2, \: \: k = 6, \: \: r = 2 \sqrt{2} \\ \\ center = (h, \: k) \\ \\ center = (2, \: 6) \\ \\ radius \: = r \\ \\ radius = 2 \sqrt{2} \)
help so i can get an A?
Simplified form of -5⁷÷ 5² is -5⁵.
The correct option is C.
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression,
-5⁷÷ 5²
Above expression can be written as
-5⁷/5²
= -1(5⁷)/5²
= -1(5⁵.5²)/5²
= -1(5⁵)
= -5⁵
Hence, -5⁵ is the simplified form of expression -5⁷÷ 5².
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An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
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Can someone help me Please
13. Find KL.
J
K
72°
14
L
51°
M
Answer:
tan51 = JL ÷ 14
JL = 17,29
cos72 = KL ÷ 17,29
KL = 5,34
From the given information JLK = 72°, JM = 14 and JML = 51°. The distance of KL is 5.34.
What are the trigonometric ratios?Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.
In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slanted side is called the hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.
It is given that
JLK = 72°
JM = 14
JML = 51°
tan51 = JL / 14
JL = 17.29
cos72 = KL / 17.29
KL = 5.34
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Help on this question please
Answer:
Second choice: 115.44
Step-by-step explanation:
You would want to subtract 253.33-23.33-25.09-33.45-56.02 to get the answer.
There are multiple ways you can do it, first way is to add all the numbers together to get 23.33+25.09+33.45+56.02=137.89
Then, do 253.33-137.89 to get 115.44.
The second way is to manually subtract them one by one from 253.33 to get the same result: 115.44.
Dr. Brown is conducting a study in which participants have been randomly assigned to either the treatment condition or a comparison treatment condition and they measured the participants' symptoms before treatment, during treatment, and now 3-months post-treatment. Which type of research design did Dr. Brown use
Dr. Brown used a randomized controlled trial (RCT) research design.
A randomized controlled trial (RCT) is a type of scientific experiment in which two or more groups of patients are subjected to various clinical treatments, interventions, or exposures. In an RCT, subjects are randomly allocated to either a treatment group or a control group, and the treatment group receives the new intervention being tested, while the control group receives the standard intervention or placebo.
Therefore, Dr. Brown used a randomized controlled trial (RCT) research design in which participants were randomly assigned to either the treatment condition or a comparison treatment condition, and their symptoms were measured before treatment, during treatment, and now 3-months post-treatment.
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Johanna graphed the number of calls she made during one day. How many calls were made before 6 p.m.?
A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 there were 4 calls; from 8 to 10 pm there were 2 calls.
Answer:
i think it was 20
Step-by-step explanation:
i took the quiz
Answer:
20
Step-by-step explanation:
By The Way You Matter Dont Give Up
hiis this a multiplication? what do they mean by saying use the correct value?
Volume of a prism: base area x height
Edge of each cube: 1 inch
Cubes used for the first layer: 42
Base area = 42 inches
height = 7 inches (or layers )
Volume = 42 x 7 = 294 cubic inches
5/12,3/8,6,14in ascending or
der