Answer:
y=2x+2
Step-By-Step Explanation:
Hope this helps :)
You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How
much is the boat worth in 2022?
Answer: if the boat costs 12,500 and raises by 7 percent a year.
Step-by-step explanation:
7 percent of 12,500 is 875 and if it kept raising for 18 years we would multiply 875 X 18 which equals 15750 and then we would add the original which would give us 28250$
so the answer is 28250$
Line AB contains points A(4, 5) and B(9, 7). What is the slope of ?
Answer:
2/5
Step-by-step explanation:
We can find the slope by using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7 -5)/(9 - 4)
= 2/5
Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff’s total was 18.90 before tax?
Answer:
the answer is 3.19
Step-by-step explanation:
multiply 3.19x5 then add the 2.95
I am in need of assitance, question shown in picture.
Answer:
it's going to be 7.4
Step-by-step explanation:
5 x 4 = 20
4 / 2 since you want to get radius
2 x 2 = 4 x pi for both half circles.
4 x pi = 12.5 --> 13
20 - 12.5663706 = 7.43 ---> 7.4
Solve for d in the proportion.
804/d = 6/4
Work Shown:
804/d = 6/4
804*4 = 6d
3216 = 6d
6d = 3216
d = 3216/6
d = 536
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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If point H(-6, 2) is translated 4 units up and 3 units right, what are the
coordinates of the translated image?
Answer: H(-3 , 6)
X increase is horizontal
Y increase is vertical
eliminate the parameter t to find a Cartesian equation for: x=t2 y=2+3t x=Ay2+By+C Where A=________ B=__________ and C=________ If you can give step by step help that is GREATLYappreciated!!!
The cartesian equation for x = t² and y = 2 + 3t is x = (1/9)y² - (4/9)y + (4/9).
Where the value of A, B, and C are 1/9, - 4/9, and 4/9.
The parameter t that we have
y = 2 + 3tThe cartesian equation x = (1/9)y² - (4/9)y + (4/9)
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The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied). Job Satisfaction Score IS Senior Executives (%) IS Middle Managers (%) 1 5 4 2 9 10 3 35 3 4 42 46 5 9 37 If required, round your answers to two decimal places. (a) Develop a probability distribution for the job satisfaction score of a randomly selected senior executive. x f(x) 1 2 3 4 5 (b) Develop a probability distribution for the job satisfaction score of a randomly selected middle manager. x f(x) 1 2 3 4 5 (c) What is the probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5
a) The probability distribution for the job satisfaction score of a randomly selected senior executive is:
x f(x) P(X=x)
1 5 0.05
2 9 0.09
3 35 0.35
4 42 0.42
5 9 0.09
b)
The probability distribution for the job satisfaction score of a randomly selected middle manager is:
x f(x) P(X=x)
1 4 0.04
2 10 0.10
3 3 0.03
4 46 0.46
5 37 0.37
c) The probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5 is 0.51 (or 51%)
To develop the probability distributions, we need to calculate the relative frequencies for each job satisfaction score category.
(a) Probability distribution for senior executives:
The sum of all frequencies for senior executives is 100.
Job Satisfaction Score IS Senior Executives (%)
1 5
2 9
3 35
4 42
5 9
To calculate the relative frequencies, we divide each frequency by the total frequency (100):
Job Satisfaction Score IS Senior Executives (%) Relative Frequency
1 5 0.05
2 9 0.09
3 35 0.35
4 42 0.42
5 9 0.09
b)
Probability distribution for middle managers:
The sum of all frequencies for middle managers is 100.
Job Satisfaction Score IS Middle Managers (%)
1 4
2 10
3 3
4 46
5 37
To calculate the relative frequencies, we divide each frequency by the total frequency (100):
Job Satisfaction Score IS Middle Managers (%) Relative Frequency
1 4 0.04
2 10 0.10
3 3 0.03
4 46 0.46
5 37 0.37
c.
Probability that a randomly selected senior executive will report a job satisfaction score of 4 or 5:
To find this probability, we sum up the probabilities of job satisfaction scores 4 and 5 from the probability distribution of senior executives:
P(X = 4 or X = 5) = P(X = 4) + P(X = 5)
= 0.42 + 0.09
= 0.51
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Choose the correct interpretation of the range below. A. The number of days separating the fewest and most sick days taken is equal to the range. B. The largest difference between the mean and any other value is equal to the range. C. The range gives the most useful value for measuring the spread of the data. D. The range represents the average distance of an observation from the mean.
The correct interpretation of the range is:
A. The number of days separating the fewest and most sick days taken is equal to the range.
The range is a measure of dispersion that simply represents the difference between the maximum and minimum values in a dataset.
It provides information about the spread of the data by indicating the extent of variation between the minimum and maximum values. In the context of the given options, option A correctly describes the interpretation of the range.
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rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.Her friend ronan's house is due north of her house. Adter showing he new scooter she went to library which is due west from ronaks house.while returning back she drove 17km diagonally to her house find distance between rhea and her friends house. How far is the library from ronaks house.
(Urgent!!)
The distance between rhea and her friend's house could be 8 km and The distance of the library from the rocks house could be 15 km.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
rhea got a new e-scooter. She wanted to show it to her friend on the way to the library.
Her friend Ronan's house is due north of her house.
After showing him the new scooter she went to the library which is due west from rocks house.
while returning back she drove 17km diagonally to her house.
By Pythagoras' theorem
|AC|^2 = |AB|^2 + |BC|^2
Here we can assume that
AB = The distance between rhea and her friend's house.
BC = The distance of the library from rocks house.
The triplet of the 17 would be (8, 15, 17)
So, we can say that the AB could be 8 km and BC could be 15 km or vice versa.
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write a slope equation for slope=-8/7; (-3,1)
The Solution.
Step 1:
We shall state the formula for a slope-intercept equation.
\(y=m(x-x_1)\)\(\begin{gathered} \text{Where m = slope = }\frac{8}{7} \\ x_1=-3\text{ (the value of x in the given point coordinate)} \end{gathered}\)Step 2:
We shall substitute for the values of the parameters in the formula above.
\(\begin{gathered} y=\frac{8}{7}(x--3) \\ \\ y=\frac{8}{7}(x+3) \\ \text{Cross multiplying, we get} \\ 7y=8(x+3) \\ 7y=8x+24 \end{gathered}\)Step 3:
Presentation of the Answer.
The correct answer is 7y = 8x + 24
if jill had 4 and 1/4 of a cup and she drank 3/5 of it how much did she have left?
Answer:
She had 3.65 or 3 and 13/20
Step-by-step explanation:
4 and 1/4 of a cup in decimal form is 4.25. we know that 3/5 is .60 .Just do 4.25 minus .60
a good way to get a small standard error is to use a ________.
Answer: A good way to get a small standard error is to use a large sample.
Step-by-step explanation:
In order to find the small standard error, there is always need of a complete set which is called the large sample.
If tried to do a small or repeating sample, you will most likely not get an error and you could get a repetition. If you do a population sample, you wont get accurate results at all.
Therefore, a good way to get a small standard error is to use a large sample. Hope this helps!
-From a 5th Grade Honors Student
Automata Theory:
Give a formal description of \( \bar{L} \) where \( \Sigma=\{a, b\} \) and \( L=\{\lambda, a, b, a a, b b, a b, b a\} \).
The language \(\bar L\) is the complement of the language L. It consists of all strings over the alphabet Σ= {a,b} that are not in L.
The language L is defined as L= {λ,a,b,aa,bb,ab,ba}. To find the complement of L, we need to determine all the strings that are not in L.
The alphabet Σ= {a,b} consists of two symbols: 'a' and 'b'.
Therefore, any string not present in L must contain either symbols other than 'a' and 'b', or it may have a different length than the strings in L.
The complement of L, denoted by \(\bar L\). includes all strings over Σ that are not in L.
In this case, \(\bar L\) contains strings such as 'aaa', 'bbbb', 'ababab', 'bbba', and so on.
However, it does not include any strings from L.
In summary, \(\bar L\) is the set of all strings over Σ={a,b} that are not present in L.
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2X+3X+50=180
X=WHAT
PLEASE HELP ASAP
Answer:
X=26
Step-by-step explanation:
Answer:
X=26
Step-by-step explanation:
hope this helps
Solve 2(x + 1) = 2x + 5
A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers
On tuesday how much did they sell
Answer:
On Tuesday
591 burgers are sold.
Some are hamburgers and some are cheeseburgers.
59 fewer cheeseburgers sold than hamburgers.
Number of cheeseburgers --> x
Number of hamburgers --> y
x+y= 591 --> x = 591-y
x = y-59
so
591-y = y-59
-2y = -650
y = 325
so
x = 325-59
x =266
The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.
Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:
1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).
2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).
Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:
H + (H - 59) = 591
Now, combine like terms:
2H - 59 = 591
Next, isolate the term with H:
2H = 591 + 59
2H = 650
Now, solve for H:
H = 650 / 2
H = 325
So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:
C = H - 59
C = 325 - 59
C = 266
They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.
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The given formula can be used to determine the volume (V) of a cylinder.
V= Bh = area of base x height
Which of the following is the best approximation of the volume of the cylinder below?
Step-by-step explanation:
it seems the answer is c. 3514 in3
Approximate value of the volume of cylinder is equals to 3514 in³.
What is volume?"Volume is defined amount of space occupied by any 3 dimensional body. It is useful to represents the capacity of any object ."
Formula used
Area of the base = πr²
Volume of a cylinder = area of the base × height
= πr²h
Value of π = 3.14
According to the question,
Diameter of cylinder = 11 in
Radius (r) = Diameter / 2
= 11 / 2
= 5.5 in
Height (h) = 37 in
Substitute the value in the formula we get,
Volume of cylinder = 3.14 ×(5.5)² × 37
= 3514.445 in³
≈ 3514 in³
Hence, approximate value of the volume of cylinder is equals to 3514 in³.
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in how many ways can 3 or more students be selected from 6 students? the order in which the students are selected is not important.
There are probability (6 choose 3) = 20 possible ways to select 3 or more students from 6 students, since the order in which the students are selected is not important.
If 3 or more students must be selected from 6 students, and the order in which the students are selected is not important, then this is an example of a combination problem. Combination problems are used to calculate the number of ways a certain number of objects can be selected from a larger group of objects. To calculate this, the formula that is used is (n choose r) = n!/(r!(n-r)!), where n is the total number of objects, and r is the number of objects that must be selected. In this case, n = 6 and r = 3, so the answer is (6 choose 3) = 6!/(3!(6-3)!) = 20. This means that there are 20 possible ways to select 3 or more students from 6 students, since the order in which the students are selected is not important.
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suppose the life time of a component ti in hours is uniformly distributed on [100, 200]. components are replaced as soon as one fails and assume that this process has been going on long enough to reach equilibrium. (a) what is the probability that the current component has been in operation for at least 50 hours? (b) what is the probability that the current component will last for at least 50 more hours?
a. The probability that the current component has been in operation for at least 50 hours is 0.5
b. The probability that the current component will last for at least 50 more hours is also 0.5.
(a) The probability that the current component has been in operation for at least 50 hours is given by the cumulative distribution function (CDF) of the uniform distribution on [100, 200] evaluated at 50.
The CDF of a uniform distribution on [a, b] is given by:
F(x) = (x - a) / (b - a) for a <= x <= b
F(x) = 0 for x < a
F(x) = 1 for x > b
Therefore, in this case, the CDF is:
F(x) = (x - 100) / 100 for 100 <= x <= 200
F(x) = 0 for x < 100
F(x) = 1 for x > 200
So the probability that the current component has been in operation for at least 50 hours is:
P(ti >= 50) = 1 - F(50) = 1 - ((50 - 100) / 100) = 0.5
(b) The probability that the current component will last for at least 50 more hours is also given by the CDF of the uniform distribution on [100, 200], but evaluated at 150 instead of 50.
That is,
P(ti >= 150) = F(150) = (150 - 100) / 100 = 0.5.
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Mrs. Dominguez asked her students to plot the number of books they read over the summer
Answer: Count the dots located on the blot labeled at 2.
There are 6 dots, which mean 6 students read 2 books.
The answer is 6.
Step-by-step explanation:
Find the area of the rectangle ABCD with vertices A(-4, 4), B(1, 4), C(-4, 1) and D(1,1).
The area of the rectangle ABCD is approximately 29.15 square units.
To find the area of the rectangle ABCD, we can use the formula for the area of a rectangle, which is given by the product of its length and width.
Let's first find the length and width of the rectangle using the coordinates of its vertices.
Length AB = distance between points A and B
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(1 - (-4))² + (4 - 4)²]
= √[5² + 0²]
= √25
= 5
Width BC = distance between points B and C
= √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-4 - 1)² + (1 - 4)²]
= √[(-5)² + (-3)²]
= √[25 + 9]
= √34
Now that we have the length and width, we can calculate the area of the rectangle.
Area = Length × Width
= 5 × √34
≈ 5 × 5.83
≈ 29.15 square units
Therefore, the area of the rectangle ABCD is approximately 29.15 square units.
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find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)
The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.
Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.
Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.
Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.
Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.
By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.
Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).
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A basketball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation
y = 0.9x – 1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage.
Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?
O A. 78
B. 80
O c. 86
D. 99
Answer: The correct answer is option A; 78
Step-by-step explanation: The equation representing the line of best fit which is given as
y = 0.9x - 1
depicts the relationship between a player's practice results and actual game results. Whatever value is given as x which is the result from practice would be a good way of predicting a player's result when engaged in the real game.
For the question above, a player with a practice shooting percentage of 88 would have his game shooting estimated by simply inserting the value of his practice percentage into the equation showing the line of best fit shown as follows;
y = 0.9x - 1
Where x = 88
y = 0.9 (88) - 1
y = 79.2 - 1
y = 78.2
y ≈ 78
Therefore the approximate shooting percentage for a player with a practice shooting percentage of 88 would be 78 percent.
The approximate shooting percentage in a game for a player with a practice shooting percentage of 88 is A. 78.
The calculation is as follows:The equation is
y = 0.9x - 1
Where x = 88
y = 0.9 (88) - 1
y = 79.2 - 1
y = 78.2
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What are the vertes, the axis of symmetry, the maximum or minimum value,
the domain, and the range of each function?
5. f(x)=2(x-4)^2+3
Answer:
vertex: (4,3)
axis of symmetry: x=4
Domain (interval notation) : ( − ∞ , ∞ )
Domain (set-builder notation): { x | x ∈ R }
Range (interval notation): Range: [ 3 , ∞ )
Range (set-builder notation): { y | y ≥3 }
Maximum/minimum value: (4,3)
Step-by-step explanation:
13 - (this number) - (this number) = -6 The numbers have to be the same when subtracting
Answer:
9.5
Step-by-step explanation:
13-x-x=-6
13+6=2x
19=2x
9.5=x
Answer:9
Step-by-step explanation:
13 - 9 - 9
which function correspond with the table x= 2, 3, 4, 5 y= 2, 4, 6, 8
Answer:
=2x-2
Step-by-step explanation:
After many losses, A gambler would like to take a coin in casino and suspect that the coin is not fair. He takes a random 500 flips and finds that 220 flips result in head. Can we conclude
that the coin is not fair at 5% level of significance.
No, we cannot conclude that the coin is not fair at a 5% level of significance.
To determine whether the coin is fair or not, we can perform a hypothesis test using the binomial distribution. The null hypothesis (H0) assumes that the coin is fair, meaning that the probability of getting a head is 0.5. The alternative hypothesis (H1) assumes that the coin is not fair.
In this case, the observed number of heads in 500 flips is 220. To test the hypothesis, we can calculate the p-value, which represents the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true.
Under the null hypothesis, the expected number of heads in 500 flips would be 0.5 * 500 = 250. We can use the binomial distribution to calculate the probability of getting 220 or fewer heads out of 500 flips, assuming the probability of success is 0.5.
By using statistical software or tables, we can find that the probability of getting 220 or fewer heads is relatively high. Let's assume it is 0.10 (10%).
The p-value is the probability of observing a result as extreme or more extreme than the observed result, given the null hypothesis is true. In this case, the p-value is 0.10.
Since the p-value (0.10) is higher than the chosen significance level (0.05), we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the coin is not fair at a 5% level of significance.
Therefore, based on the given data, we cannot conclude that the coin is not fair at a 5% level of significance. It is possible that the observed deviation from the expected number of heads is due to random chance rather than indicating a biased coin.
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Combine like terms and write an equivalent expression. 3x - 5x + 7 - 2 NO DOWNLOADS
Answer:
-2x + 5
Step-by-step explanation:
\(3x-5x+7-2\\\\-2x+5\)