Answer:
C
Step-by-step explanation:
slope of the first line = -9/2
slope of a perpendicular line = 2/9
y-(-1)= 2/9(x-0)
y + 1 = 2/9 x
y = 2/9 x -1
Question 1
Two months ago, a car dealership sold 30 red cars and 120 cars that were not red. Last
month the car dealership sold a total of 200 cars. Tarik predicts that the dealership sold
45 red cars last month. Do you think this is a reasonable prediction? Explain.
Answer:
Yes this is a resendable prediction
Step-by-step explanation:
Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4
Applying the formula, it is found that the SP for both numbers is of 7.
The first step is finding the mean for both sets, hence:
\(M_x = \frac{4 + 0 + 1 + 3}{4} = 2\)
\(M_y = \frac{5 + 2 + 1 + 4}{4} = 3\)
Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:
\(SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7\)
The SP for both numbers is of 7.
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determine the sample sieze erequired to estimate teh mean score on a standardizes test within 4 [pints of the trrue mean with 98% confidence
Answer: Minimum sample size = 110
Step-by-step explanation:
Formula to find minimum sample size :
\(n=(\dfrac{z\times s}{E})^2\) , where z = critical z-value for confidence level, s= sample standard deviation , E = margin of error
Given: E= 4 , s= 18
Critical z-value for 98% confidence = 2.327
So, \(n=(\dfrac{2.327\times18}{4})^2\)
\(=(\dfrac{41.886}{4})^2\\\\=(10.4715)^2=109.65231225\approx110\)
Minimum sample size = 110
Determine the angle between 0 and 2π that is coterminal with quantity \(\frac{19\pi }{4\\}\)
\(\frac{11\pi }{4} \\\\\frac{5\pi }{4} \\\\\frac{3\pi }{4} \\\\\frac{\pi }{4}\)
Answer:
\(\frac{3\pi}{4}\)
Step-by-step explanation:
Recall that co-terminal angles are angles which when drawn at standard position share a terminal side. Since we are restricted to the interval [0,2π], recognize that \(\frac{19\pi}{4}=\frac{16\pi}{4}+\frac{3\pi}{4}=4\pi+\frac{3\pi}{4}=2\pi+2\pi+\frac{3\pi}{4}=\frac{3\pi}{4}\). So, the co-terminal angle is \(\frac{3\pi}{4}\).
experimento aleatorio con orden,remplazo y sin repeticion
A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.
How to explain the information.For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.
The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.
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Random experiment with order, replacement and without repetition
2. Kirk is reading a science fiction novel. After his first 20 minutes of reading, he sees that he's read 32 pages of
the book. If the book is 375 pages long, which of the following is closest to the total time it will take him to
finish the book?
The total time that should be taken by him to finish the book is 3.9 hours.
Given that,
There are 20 minutes of reading for 32 pages of the book.Now there are 375 pages.Based on the above information, the time taken should be
\(= 375 \times 20 \div 32\)
= 234.375 minutes
Now in hours it should be
\(= 234.375 \div 60\)
= 3.9 hours
Therefore we can conclude that the total time that should be taken by him to finish the book is 3.9 hours.
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A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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A camera has a listed price of $722.95 before tax. If the sales tax rate is 9.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
The total cost of the camera with sales tax included is $793.44
The listed price of camera = $722.95
The sales tax rate = 9.75%
The amount of tax = The listed price of camera × (The sales tax rate / 100)
Substitute the values in the equation
The amount tax = 722.95 × (9.75 / 100)
Divide the terms first
= 722.95 × 0.0975
Multiply the terms
= $70.49
The cost of the camera including tax = The listed price of camera + The amount tax
Substitute the values in the equation
= 722.95 + 70.49
= $793.44
Hence, the total cost of the camera with sales tax included is $793.44
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What is the meaning of "Euclidean geometry"?
The concept of Euclidean geometry is the study of geometrical shapes (plane and solid) and figures based on different theorems and axioms.
What is the concept of Euclidean geometry?The concept of Euclidean geometry as required to be discussed is basically introduced for flat surfaces or plane surfaces. The postulates of the Euclidean geometry are as follows!
1 : A straight line may be drawn from any one point to any other point.
2 :A terminated line can be produced indefinitely.
3 : A circle can be drawn with any centre and any radius.
4 : All right angles are equal to one another (Congruent).
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If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer?
Answer:If you use a graph and a table to solve an equation that shows two expressions equal to one another, how can you use algebra to check your answer? Choose the correct answer below. A. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking, which is an estimate. Check to see if solving each of the new equations gives values of x that are close to each other. If they are too far from each other, you may need to reexamine the table and graph. B. Input the answer into each expression and simplify. Check to see if the result gives exactly the same number on each side. If the numbers are not exactly equal, you may need to reexamine the table and graph. C. Input the answer into each expression and simplify. Check to see if the result, which is an estimate, gives numbers on each side which are close to each other. If they are too far from each other, you may need to reexamine the table and graph. D. Rewrite the equation as two new equations, with the expression on each side of the original equation set equal to the answer you are checking. Check to see if solving each of the new equations gives exactly the same values of x . If they are not equal, you may need to reexamine the table and graph.
Step-by-step explanation:
2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
Joel is selling a motorcycle for $2,535. He bought the
motorcycle two years ago and paid $4,721 for it. It depreciated
35% during the two years. Is he losing money or making money
on this sale
Answer:
Making money
Step-by-step explanation:
selling motorcycle for 2,535
After 2 years the motorcycle is worth:
y = 4721(0.65)^2
= 1994.6
2535> 1994.6
Answer:
Joel is selling a motorcycle for $2,535. He bought the
motorcycle two years ago and paid $4,721 for it. It depreciated
35% during the two years. Is he losing money or making money
on this sale
What is the solution of the equation 2 + 3x = 7? round your answer to the nearest ten-thousandth. 0.2218 0.4522 0.6826 1.4650?
Answer:
1.4650
Step-by-step explanation
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The equations which represent circles that have a diameter of 12 units and a center that lies on the y-axis include the following:
(x - 0)² + (y - 3)² = 36
(x - 0)² + (y + 8)² = 36
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Since the circle has a diameter of 12 units, the radius would be calculated as follows:
Radius, r = diameter/2
Radius, r = 12/2
Radius, r = 6 units.
Also, when the center of this circle lies on the y-axis, it simply means the value of h is zero (0). Therefore, the equations of these circle at points (0, 3) and (0, -8) are given by;
(x - h)² + (y - k)² = r²
(x - 0)² + (y - 3)² = 6²
(x - 0)² + (y - 3)² = 36
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-8))² = 6²
(x - 0)² + (y + 8)² = 36
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Does anyone know this answer??
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
3x-6y-2z=-17
−6x+4y+5z=13
−3x−4y−3z=22
Answer:
1) x = -17 +6y + 2z/3
2) x= -13 - 4y - 5z/6
3) x= -22 +4y + 3z/3
Step-by-step explanation:
1) 3x-6y-2z=-17
3x- 6y -2z- (-6y -2z)= - 17 - ( 6y -2z )
3x=-17+6y+2z
3x/3= -17/3 +6y/3 + 2z/3
x = -17 +6y + 2z/3
2) −6x+4y+5z=13
-6x+4y+5z- ( 4y + 5z )= 13 - ( 4y + 5z )
-6x=13-4y-5z
-6x/-6= 13/-6 - 4y/-6 - 5z/-6
x= -13 - 4y - 5z/6
3) −3x−4y−3z=22
-3x=22+4y+3z
-3x/-3 = 22/-3 + 4y/-3 +3z/-3
x= -22 +4y + 3z/3
Two parallel lines are cut by a transversal, as shown below. What is the solution when solved for x?
(128°
12x
Answer:
26
Step-by-step explanation:
128° and 2x° are Co interior angles since the two parallel lines is cut by a transversal
so, 128+2x = 180(since sum of co interior angles always add to 180)
so, 2x = (180-128)
or, x = 52/2
or, x = 26
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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Please please look at the picture and answer the question thank you so much
Answer:
t = I/(Pr)
Step-by-step explanation:
We divide P*r on both sides to isolate t and we get t=I/(P*r)
Use the law of sines to find the measure of the indicated side then round to the nearest tenth.Find the Length of B ;
Answer
Explanation
Given:
a=27
To determine the length of b, we redraw first the figure as shown below:
Now, we apply the law of sines:
\(\frac{a}{\sin A}=\frac{b}{\sin B}\)(1, 9), (7, 3) need this asap
Answer:
(4, 6)
Step-by-step explanation:
7 + 1 / 2 = 4
3 + 9 / 2 = 6
need more characters
what is the value of x
22x+-15=100
Answer:
X=115/22
Step-by-step explanation:
22x-15=100
22x=100+15
22x=115
X= 115/22
This is hard please solve it for brainly.
Answer: C
Step-by-step explanation: you just multiple 40 by 4
Answer:
C) 160
Step-by-step explanation:
multiply each side by 40
the 40 from x/40 is eliminated and then you are left with x = 160
What is the area of a circle with a radius of 5 units?
A. 11.89 units squared
B. 59.44 units squared
C. 62.5 units squared
D. 78.5 units squared
Answer: A≈78.54
Step-by-step explanation: A=πr2=π·52≈78.53982
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0
Answer:
The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:
a is the coefficient of the x^2 term, which is -3 in this case.
b is the coefficient of the x term, which is -5 in this case.
c is the constant term, which is 9 in this case.
Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:
a = -3
b = -5
c = 9
Answer this question please?
Answer:
it would be y = 9/2x
this is because you are trying to find the baking soda so you put that on the bottom, the sugar is just the multiplier for the baking soda
Step-by-step explanation:
A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution.
Required:
a. What value will be exceeded 75% of the time?
b. What value will be exceeded 10% of the time?
c. What value will be exceeded 85% of the time?
d. Determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.
Answer:
a. What value will be exceeded 75% of the time?
= 21.63
b. What value will be exceeded 10% of the time?
= 31.41
c. What value will be exceeded 85% of the time?
= 19.82
d. Determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.
The two values are: 21.63 and 28.37
Step-by-step explanation:
We solve using the z score formula:
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
A random variable is normally distributed with a mean of 25 and a standard deviation of 5. If an observation is randomly selected from the distribution.
Required:
a. What value will be exceeded 75% of the time?
We are to find the value x
Exceeded by 75% = 100 - 75 = 25
We find the z score of 25% percentile
= -0.674
Hence:
-0.674 = x - 25/5
Cross Multiply
-0.674 × 5 = x - 25
-3.37 = x - 25
x = 25 - 3.37
x = 21.63
b. What value will be exceeded 10% of the time?
We are to find the value x
Exceeded by 90% = 100 - 90 = 10
We find the z score of 90% percentile
= 1.282
Hence:
1.282 = x - 25/5
Cross Multiply
1.282 × 5 = x - 25
6.41 = x - 25
x = 6.41 + 25
x = 31.41
c. What value will be exceeded 85% of the time?
We are to find the value x
Exceeded by 85% = 100 - 85 = 15
We find the z score of 15% percentile
= -1.036
Hence:
-1.036 = x - 25/5
Cross Multiply
-1.036 × 5 = x - 25
-5.18 = x - 25
x = 25 - 5.18
x = 19.82
d. Determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.
This means their z score is 25% below the mean and 25% above the mean
We are to find the value x
We find the z score of 25 % and 75% percentile
= - 0.674 and 0.674
Hence:
For -0.674
-0.674 = x - 25/5
Cross Multiply
-0.674 × 5 = x - 25
-3.37 = x - 25
x = 25 - 3.37
x = 21.63
For 0.674
0.674 = x - 25/5
Cross Multiply
0.674 × 5 = x - 25
3.37 = x - 25
x = 25 + 3.37
x = 28.37
Therefore, the two values are: 21.63 and 28.37
Please solve this question
The correct order from least to greatest is log₂ 26, log₂ 33, log 26, eln 4, the correct option is D.
We are given that;
The logs log, 26, log, 33 and log3 26
Now,
We can simplify these expressions using the following identities:
eln x = x
log a a = 1
log a (b × c) = log a b + log a c
log a (b / c) = log a b - log a c
Using these identities and the properties of logarithms listed above, we can compare the given expressions as follows:
A. eln 4 = 4; log 26 < log 33; so we have:
4 < log 26 < log 33
B. eln 4 = 4; so we have:
log 33 < 4 < log 26 < log 26
C. eln 4 = 4; so we have
log₂ 26 < log 26 < log 33 < 4
D. eln 4 = 4; so we have:
log₂ 26 < log₂ 33 < log 26 < 4
Therefore, by logarithm the answer will be log₂ 26, log₂ 33, log 26, eln 4.
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