Answer:
6
Step-by-step explanation:
The incline of a skateboard ramp is 5.5 feet long .If the height of the ramp is 3 feet ,what is the angle of elevation that the ramp makes with the ground ?round to the nearest degree
Answer:
The ramp makes a 33.06° or 33° angle with the ground.
Step-by-step explanation:
Given: h = 5.5 ft
o = 3 ft
Let's call the angle as angle A
The ramp forms a right triangle. We can then use the concept of pythagorean theorem.
Since the angle of elevation is opposite the height of 3ft and hypotenuse is given as 5.5 ft then we can use sinA = opposite/hypotenuse
Solve:
sin A = 3ft/5.5ft
sin A = 0.5454
A = Arcsin 0.5454
A = 33.06°
At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new saving account at the bank. As the school year starts, Caitlin is going to deposit another $5 each week from her allowance. What is the value of the account balance ($) when the time (in weeks) is 0?
Answer:
120.
Step-by-step explanation:
She adds $5 to her account each week. If 0 weeks have gone by, then her account hasn't changed.
Consider all bit strings of length 12. How many of them begin with 11 or end with 00 but not both? a. 2.2^10 - 2 b. 2^10 c. 2 x 2^10 – 2^8 d. 2^8
Consider all bit strings of length 12 the answer is option c, 2 x 2¹⁰ – 2⁸.
To find the number of bit strings of length 12 that begin with 11 or end with 00 but not both, we can use the principle of inclusion-exclusion.
First, let's count the number of bit strings that begin with 11.
Since the first two bits are fixed, we have 10 remaining bits that can be either 0 or 1, giving us a total of 2^10 bit strings that begin with 11.
Next, let's count the number of bit strings that end with 00.
Again, since the last two bits are fixed, we have 10 remaining bits that can be either 0 or 1, giving us a total of 2^10 bit strings that end with 00.
However, we have counted the bit strings that both begin with 11 and end with 00 twice, so we need to subtract them from our total count.
To count the number of bit strings that begin with 11 and end with 00, we can fix the first and last two bits to be 1100, and then we have 8 remaining bits that can be either 0 or 1, giving us a total of 2^8 such bit strings.
So, the final answer is the sum of the number of bit strings that begin with 11 and the number of bit strings that end with 00, minus the number of bit strings that both begin with 11 and end with 00:
2¹⁰ + 2¹⁰ - 2⁸ = 2 x 2¹⁰ - 2⁸
Therefore, the answer is option c, 2 x 2¹⁰ – 2⁸.
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7/18 divided by 5/6. For a practice buddy
Answer:
0.46666666666
Step-by-step explanation:
i tried
Giving brainliest its 5th grade math
Answer:
whats the question and ill answer in the comments
Step-by-step explanation:
if your asking for which time has the equal amount of attendee it between 7pm and 9pm if i am correct
LaShonda is interested in marketing, so she has arranged to meet with a family friend who works at a marketing firm and has knowledge that may help LaShonda succeed. She will ask this person questions and learn more about what it's like to work in that industry. This kind of meeting is called a(n) A. informational interview B. referral C. job interview D. selection interview
The kind of meeting described, where LaShonda meets with a family friend to ask questions and gain knowledge about working in the marketing industry, is called an informational interview.
An informational interview is a meeting between a job seeker and a professional in a particular field or industry. It is a way for individuals to gather information, insights, and advice about a specific career path or industry from someone who has first-hand experience. The purpose of an informational interview is to learn more about the industry, gain insights into job roles and responsibilities, and gather information that can help in career planning and decision-making.
In this case, LaShonda is interested in marketing and has arranged to meet with a family friend who works in a marketing firm. During the meeting, LaShonda will have the opportunity to ask price, seek advice, and learn more about the industry from her family friend's perspective.
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please help its ok if you dont know this
Answer:
11/8
Step-by-step explanation:
Answer:
11/8
Step-by-step explanation:
40 points please help
Answer:
five number summary is a specially useful in the scriptive analysing what during the premier league investigation of a large data set a summary consists of 5 values of the most extreme values in data set the maximum and minimum values of the lower and upper quality and the meridian
scores on the wechsler adult intelligence scale for the 20 to 34 age group are approximately normally distributed with mean 110 and standard deviation 15. how high must a person score to be in the top 5% of all scores? enter your answer as a whole number.
The person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.
What is defined as the normal distribution?A normal distribution is a data set arrangement in which the majority of values cluster inside the center of the range and the remainder taper off symmetrically toward any extreme.A histogram inside a normal distribution curve is sometimes used to design the curve.The formula for the normal distribution is;
z = (x - μ)/σ
where,
z = z- score, taken fro tableMean μ = 110Standard deviation σ = 15Sample mean x.If we want to be in the top 5%, we must outperform 95% of the remaining scores. So we must investigate.
In with us standard normal probability table, look up 0.95 and get the Z score that corresponds to that.
z = 1.7
Put the value in formula ad find x.
1. 7 = (x - 110)/15
x = 25.5 + 110
x = 135.5
x = 136 (whole number)
Thus, the person must score 136 to be in the top 5% of all scores in wechsler adult intelligence scale.
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what is a solution of a system of linear equations in three variables?
The solution of a system of linear equations in three variables represents the values of the variables that satisfy all the equations simultaneously.
In more detail, a system of linear equations in three variables consists of multiple equations that involve three unknowns. The goal is to find a set of values for the variables that make all the equations true. The solution of such a system can be described as a point or a set of points in three-dimensional space that satisfy all the equations.
In general, there can be three types of solutions for a system of linear equations in three variables:
1. Unique Solution: The system has a single point of intersection, and the values of the variables can be determined uniquely.
2. No Solution: The system has no common point of intersection, meaning there are no values for the variables that satisfy all the equations simultaneously.
3. Infinite Solutions: The system has infinitely many points of intersection, and the values of the variables can be expressed in terms of parameters.
To find the solution of a system of linear equations in three variables, various methods can be used, such as substitution, elimination, or matrix operations. The choice of method depends on the specific characteristics of the equations and the desired approach.
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The length of a snake is 280 cm, rounded to the nearest 10 cm.
a)
What is the lower bound of the length of the snake?
b)
What is the upper bound of the length of the snake?
Answer:
a) 275 b) 284
Step-by-step explanation:
As we all know you round up if there is a five and above , and round down if there is anything below that.
a) nothing lower than five can round up, so 275 can round up to the nearest 10 which is 280 as 274 and below would round down to 270.
b) anything above the five would round to 290 therefore the only integer ( full number ) that can round down is 284.
hope this helps❤️
The average of a sample of high daily temperature in a desert is 114 degrees F, a sample standard deviation or 5 degrees F, and 26 days were sampled. What is the 90% confidence interval for the average temperature? Please state your answer in a complete sentence, using language relevant to this question.
In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.
To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.
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In the function, g(x) = -2x , the independent variable has a value of 6. Find the value of the dependent variable.
Answer:
-12
Step-by-step explanation:
x=6
g(6)=-2*6=-12. Answered by Gauthmath
we have 15 voters and four alternatives, and the individual preference lists are as follows: voters 1-3: a d b c voters 4-5: b d a c voters 6-7: c d a b voters 8-9: a d c b voters 10-11: b d c a voters 12-13: c d b a voters 14-15: d b a c what choice or choices result from the plurality voting procedure?
The complete question is:
We have 15 voters and four alternatives, and the individual preference lists are as follows:
Voters 1-3: a d b c
Voters 4-5: b d a c
Voters 6-7: c d a b
Voters 8-9: a d c b
Voters 10-11: b d c a
Voters 12-13: c d b a
Voters 14-15: d b a c
1) The plurality voting procedure? - Voters 1-3: a d b c
2) The Condorcet procedure? - Voters 8-9: a d c b
3) The Hare (instant runoff) system? - Voters 4-5: b d a c
4) The Borda count procedure? - Voters 8-9: a d c b
5) Sequential pairwise voting with agenda bdac? - Voters 8-9: a d c b
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Draw the graph of the following equation: y+4x=0
Answer:
The graph attached
Step-by-step explanation:
(y+4x=0) equals y = -4x which means it goes down 4 and to the right one starting at the origin.
The null nondirectional hypothesis (H0) is: µ = 300. What is the alternative hypothesis (H1)?
Group of answer choices
a. µ ≤ 300
b. µ < 300
c. µ > 300
d. µ ≠ 300
The correct answer is d. µ ≠ 300. The alternative hypothesis (H1) is typically the complement of the null hypothesis (H0) and represents the possibility of observing a statistically significant difference between two groups or variables.
In this case, since the null hypothesis (H0) is µ = 300, the alternative hypothesis (H1) could be µ ≠ 300, which means that there is a significant difference between the population mean and the hypothesized value of 300.
Therefore, the correct answer is d. µ ≠ 300.
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What is the distance between the points P(-5, 4), Q(7, -5)
Answer:
15
Step-by-step explanation:
Distance between two points is = √(x2 - x1)² + (y2 - y1)²
x1 = -5, y1 = 4; x2 = 7, y2 = -5
|PQ| = √(7 - (-5))² + (-5 - 4)²
|PQ| = √(7 + 5)² + (-9)²
|PQ| = √(12)² + 81
|PQ| = √144 + 81
|PQ| = √225
|PQ| = 15
You have $5.00 and you need to make copies of a flyer at a store that charges $0.30
per copy. Find the inequality that represents the number of copies you can make. Use
x as the variable.
What is the maximum number of copies you can afford to make?
Answer:
The required number maximum number of copies can be afforded x < 24.28.
Given that,
We have $8.50 and you need to make copies of a flyer at a store that charges $0.35 per copy.
What is inequality?
Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let the number of copies be x,
According to the question,
0.35x < 8.50
x < 8.50 / 0.35
x < 24.28
Thus, the required number maximum number of copies can be afforded x < 24.28.
Step-by-step explanation:
f(x,y)=x³-12x+y³ +3y²-9y Ans: Max (-2,-3); Saddle point (2,-3) and (-2,1); Min (2,1)
The function F(x, y) has a local maximum at (-2, -3), saddle points at (2, -3) and (-2, 1), and a local minimum at (2, 1).
To find the critical points and classify them as local maxima, local minima, or saddle points, we need to find the partial derivatives of the function F(x, y) and evaluate them at each critical point.
Given the function F(x, y) = x³ - 12x + y³ + 3y² - 9y, let's find the partial derivatives:
∂F/∂x = 3x² - 12
∂F/∂y = 3y² + 6y - 9
To find the critical points, we set both partial derivatives equal to zero and solve the resulting system of equations:
3x² - 12 = 0 --> x² = 4 --> x = ±2
3y² + 6y - 9 = 0 --> y² + 2y - 3 = 0 --> (y + 3)(y - 1) = 0 --> y = -3 or y = 1
Therefore, the critical points are (-2, -3), (2, -3), and (-2, 1).
To classify these critical points, we use the second partial derivatives test. The second partial derivatives are:
∂²F/∂x² = 6x
∂²F/∂y² = 6y + 6
Now, let's evaluate the second partial derivatives at each critical point:
At (-2, -3):
∂²F/∂x² = 6(-2) = -12 (negative)
∂²F/∂y² = 6(-3) + 6 = -12 (negative)
Since both second partial derivatives are negative, the point (-2, -3) corresponds to a local maximum.
At (2, -3):
∂²F/∂x² = 6(2) = 12 (positive)
∂²F/∂y² = 6(-3) + 6 = -12 (negative)
Since the second partial derivative with respect to x is positive and the second partial derivative with respect to y is negative, the point (2, -3) corresponds to a saddle point.
At (-2, 1):
∂²F/∂x² = 6(-2) = -12 (negative)
∂²F/∂y² = 6(1) + 6 = 12 (positive)
Since the second partial derivative with respect to x is negative and the second partial derivative with respect to y is positive, the point (-2, 1) corresponds to a saddle point.
Therefore, the critical points are classified as follows:
Local maximum: (-2, -3)
Saddle points: (2, -3) and (-2, 1)
Local minimum: (2, 1)
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I have no Idea of what to write, my teacher never taught me this. Please help
Answer:
24
Step-by-step explanation:
hope this help if it dont sorry i tried
Help me please
A. 3.0
B. 1.8
C. 1.0
D. 2.5
Answer:
The average GPA would be 1.8
Step-by-step explanation:
Hope this is helpful. I did a test like this exact question and I got it right.
Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help
Which graph shows a function where f(2) = 4?
Answer:the graph should look like this
Step-by-step explanation:
if a person rolls two dice, what is the probability of not getting a five as the sum of the two dice?
The probability of not getting a five as the sum of the two dice is 1/9.
Roll of Dice:
To roll means to take risks. Take risks in hopes of a lucky outcome or victory. As a noun, dice roll is the case for "rolling dice".
According to the Question:
To find the probability, divide the number of successful outcomes by the total number of possible outcomes.
Each dice has 6 combinations that are independent of each other. So the number of possible outcomes is 6*6 = 36.
The probability of rolling two dice and getting a total of 5 is 4/36 = 1/9.
The probability of getting a sum of 5 is
Therefore, the combinations are:
(4 , 1),(1 , 4),(2, 3) and (3 , 2)
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Question: which number represents the following 8 degrees warmer today than monday answers: -7, 0, 7, 14
The number that represents 8 degrees warmer today than Monday is 0.
To find this, we can subtract 8 from the number that represents Monday's temperature.
Since Monday's temperature is not provided in the question, we cannot determine the exact number. However, out of the given options (-7, 0, 7, 14), the only number that is 8 degrees warmer than any other number is 0.
So, 0 represents the number that is 8 degrees warmer today than Monday.
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PLEASE HELP EASY WORK GIVING BRAINLIEST REPORTING FALSE ANSWERS
During a tennis math Alice got 4/5 of her serves in. She served a total of 75 times How many of her first serves did Alice get in? A) 50 B) 55 C) 70 D) 60
what is the nearest tenth of 448,655.75, 4,478 and 27,591.769064
Answer:
The nearest tenths of 448,655.75, 4,478 and 27,591.769064 is 7
how can you describe performance relative to the whole class?
Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.
We describe performance relative to the whole class.
To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:
Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.
This will give you a baseline to compare individual performances against the class average.
Percentile Rank:
Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.
For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:
Calculate the standard deviation, which measures the spread of scores within the class.
A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."
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Find the particular antiderivative of the following derivative that satisfies the given condition. C''(x)=4x2-3x ; C(0)=2000
The particular antiderivative that satisfies the given condition is: C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000
To find the particular antiderivative (or integral) of the given derivative \(C''(x) = 4x^2 - 3x\) that satisfies the condition C(0) = 2000, we need to integrate the given function twice.
First, we integrate C''(x) to find C'(x):
\(C'(x) = ∫ (4x^2 - 3x) dx\)
To find the antiderivative of \(4x^2\), we use the power rule for integration: the power of x increases by 1 and is divided by the new power. Similarly, the antiderivative of -3x is \(-(3/2)x^2\).
\(C'(x) = ∫ (4x^2 - 3x) dx = (4/3)x^3 - (3/2)x^2 + K1\)
Here, K1 is the constant of integration. Next, we integrate C'(x) to find C(x):
\(C(x) = ∫ (C'(x)) dx = ∫ ((4/3)x^3 - (3/2)x^2 + K1) dx\)
To find the antiderivative of \((4/3)x^3\), we again use the power rule for integration. Similarly, the antiderivative of \(-(3/2)x^2\) is \(-(3/2)(1/3)x^3\).
The constant of integration K1 will also be integrated with respect to x, resulting in another constant of integration, K2.
\(C(x) = (1/3)(4/3)x^4 - (1/2)(3/2)x^3 + K1x + K2\)
Simplifying further, we have:
\(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + K2\)
Now, we can apply the initial condition C(0) = 2000 to find the particular solution for K2:
\(C(0) = (4/9)(0)^4 - (9/8)(0)^3 + K1(0) + K2 = 2000\)
Since all the terms involving x become zero when x = 0, we have:
K2 = 2000
Therefore, the particular antiderivative that satisfies the given condition is: \(C(x) = (4/9)x^4 - (9/8)x^3 + K1x + 2000\)
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NEED ANWSER ASAP PLZZZZ ONLY 12-16!!!!!!!! Use the number line below for Exercises 12–16. Tell whether the segments are congruent.
Answer:
12. yes 13. yes 14. no 15. yes 16. no
Step-by-step explanation:
no explanation since your desperate on time rn