Answer: x > -1
Step-by-step explanation:
1) Subtract 5 from both sides
-3(4x - 5) < 27
2) Divide both sides by -3 (Remember to change the inequality sign to face the other way, because you have multiplied/divided by a negative number)
4x - 5 > -9
3) Add 5 to both sides
4x > -4
4) Divide by 4 on both sides
x > -1
How is an exponential growth function of the form f(x)=a(1+r)^x related to an exponential function of the form f(x)=a*b^x?
The value of a is the initial amount, and b is equal to the growth factor (1+r).
B.
The value of a is the initial amount, and b is equal to the growth factor r.
C.
The value of a is the growth factor, and b is equal to the initial amount (1+r).
D.
The value of a is the growth factor, and b is equal to the initial amount r.
There is a question that is what is this ordered pair a solution for the inequality. The equation is x+y< -4; (0, 0). If you could explain how to solve it and what the answer is that would be amazing. Thank you
We have to replace x by the first value of the ordered pair in this case 0. And replace y by the second value of the ordered pair in this case is 0. So we get the following question.
\(is\text{ }0+0=0<-4\text{?}\)as 0 is not less than -4 we get that (0,0) is not a solution of the inequality
Need help with ASAP please!
Answer:
with what??
Step-by-step explanation:
Answer: 12x+6=3(4x+2)
Step-by-step explanation: :):)
how many samples of size n=2 can be drawn from this population
The samples of size n = 2 that can be drawn from this population is 28
How many samples of size n=2 can be drawn from this populationFrom the question, we have the following parameters that can be used in our computation:
Population, N = 8
Sample, n = 2
The samples of size n = 2 that can be drawn from this population is calculated as
Sample = N!/(n! * (N - n)!)
substitute the known values in the above equation, so, we have the following representation
Sample = 8!/(2! * 6!)
Evaluate
Sample = 28
Hence, the number of samples is 28
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Complete question
A finite population consists of 8 elements.
10,10,10,10,10,12,18,40
How many samples of size n = 2 can be drawn this population?
the depth perception cue based on the observation that parallel lines converge in the distance is:
the depth perception cue based on the observation that parallel lines converge in the distance is that the depth perception cue based on the observation that parallel lines converge in the distance is known as linear perspective. This is a monocular cue, meaning it can be perceived with just one eye.
When looking at a scene, our brain uses the visual information provided by our eyes to determine depth and distance. Linear perspective is a cue that relies on the way that objects appear to shrink in size and converge towards a vanishing point as they move further away from the viewer. This is why parallel lines, such as the sides of a road or railway tracks, appear to meet at a point in the distance.
Linear perspective is a powerful visual cue that allows us to accurately perceive depth and distance in a scene. It is commonly used in art and architecture to create a sense of depth and realism, and is a crucial component of our visual perception.
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In a study of color perception, 280 men are tested, and 42 are found to have red/green color blindness. 1. p= 2. no- 3. n(1 – Ô) = 4. Is np > 5? (yes or no) 5. Is n(1 – Ô) > 5? (yes or no) 6. The margin of error is Use a 88 % confidence level. Round z-values to 2 decimals. Round your margin of error to 3 decimals. 7. Construct a 88 % confidence interval for the percent of men in general population who are color blind. Use your rounded values from above. Round your answer to 3 decimals. Lower Bound Upper Bound
margin of error = z* * sqrt(pq/n) = 1.55 * sqrt(0.150.85/280) ≈ 0.056
Rounded to 3 decimals, the margin of error is 0.056.
The 88% confidence interval for the percent of men in the general population who are color blind is:
p ± margin of error = 0.15 ± 0.056
Lower Bound: 0.15 - 0.056 = 0.094
Upper Bound: 0.15 + 0.056 = 0.206
Rounded to 3 decimals, the 88% confidence interval is (0.094, 0.206).
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what must be added to -75 to get 46?
Answer:
121 must be added to -75 to get 46
121-75=46
Answer:The answer is 121 i take plus 46 plus 75
Step-by-step explanation: if is a plus you must take away
On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), crosses the x-axis at (negative 0.7, 0), (0.76, 0), and (2.5, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
What is value?Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.
This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).
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Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)
A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).
An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.
For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.
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Michelson-Morley Experiment (a) Why is Michelson Morley experiment important? (b) What were the findings of Michelson-Morley experiment? (c) What is the principle of Michelson interferometer?
a) The Michelson-Morley experiment is important as it challenged the concept of the luminiferous ether and contributed to the development of the theory of special relativity.
(b) The experiment's findings showed no significant variation in the speed of light due to Earth's motion, contradicting the prevailing belief in the ether and supporting the notion of a constant speed of light.
(a) The Michelson-Morley experiment is important because it played a significant role in the development of the theory of special relativity and challenged the prevailing notion of the luminiferous ether, a hypothetical medium believed to be responsible for the propagation of light waves. The experiment's null result had profound implications for our understanding of the nature of light and the fundamental principles of physics.
(b) The findings of the Michelson-Morley experiment were contrary to the expectations of the time. They failed to detect any significant variation in the speed of light due to Earth's motion through the supposed ether. The experiment provided strong evidence against the existence of the luminiferous ether and supported the idea that the speed of light is constant and independent of the observer's motion.
(c) The Michelson interferometer is based on the principle of interference of light waves. It consists of a beam splitter that splits an incident light beam into two perpendicular paths, creating two separate beams. These beams then reflect off mirrors and recombine at the beam splitter, leading to interference. By measuring the resulting interference patterns, the Michelson interferometer can be used to detect minute changes in the relative lengths of the two paths, such as those caused by the Earth's motion through space or other physical phenomena. This principle forms the basis for a wide range of applications, including measuring small displacements, testing the constancy of the speed of light, and conducting various scientific experiments.
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Solve X + 5 + 6x = 180. What are the steps?
Answer:
x=25
Step-by-step explanation:
x+5+6x=180
7x+5=180
7x=175
x=25
work out 85cents as a percentage of $2.03
Answer:
85 as aparcentege
85/100
0.85%
Graph the following
Answer: hope this is right
Step-by-step explanation:
suppose a midpoint riemann sum with 3 equal subintervals is used to approximate 4 1 (2x2 1) dx. what is the value of this approximation?
The value of this approximation will be 3.7678.
To approximate the integral of 4 1 (2x2 1) dx using a midpoint Riemann sum with 3 equal subintervals, the following calculations can be used:
Start by finding the width of each subinterval (w). Using the given bounds of integration, this can be calculated as: w = (b-a)/n, where n is the number of subintervals. In this case, w = (2-1)/3 = 0.3333.
Next, calculate the midpoint of each subinterval. This can be done by taking the average of the lower and upper bounds of each subinterval. In this case, the midpoints are 1.1667, 1.5, and 1.8333.
Finally, calculate the value of the midpoint Riemann sum by adding the product of the function evaluated at each midpoint and the width of each subinterval. This can be expressed as:
Sum = 0.3333 * [4(1.1667)2 -1] + 0.3333 * [4(1.5)2 -1] + 0.3333 * [4(1.8333)2 -1]
This gives a value for the midpoint Riemann sum of 3.7678.
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please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18
2(3x-4)=10
2x+7=5x+16
x/3-8=-2
3x – 6 = -12
x/-3=8
Eva is making smoothies. Each smoothie uses scup of yogurt. How many
cups of yogurt does she need to make 4 smoothies? Express your answer in
simplest form.
Cups of yogurt she needs to make 4 smoothies is 20 cups
What is Fraction?
An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
Given,
5cups of yogurt is used to make 1 smoothie
We have to find out that how cups of yogurt will it take to make 4 smoothies
1 smoothie = 1 x 5cups
4smoothies = 4 x 5cups
= 20 cups
Hence, 20 cups of yogurt is needed to make 4 smoothies
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7. Find the length of HP.
12
P
9
H
Step-by-step explanation:
hope it is helpful to you
Answer and Step-by-step explanation:
To find the length of HP, we must use the Pythagorean Theorem.
This theorem helps us solve for the sides of any right triangle.
The equation for the Pythagorean Theorem is:
\(a^{2}+ b^{2} = c^{2}\), in which a and b are the legs, while c is the hypotenuse.
Let's plug in our values into the equation to find the length of HP.
We will use the variable x to represent HP.
\(9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP\)
So, we get our answer to be 15.
The length of HP is 15.
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I’m a bit stuck please help me out
On solving the question we can say that Therefore, the solutions to the inequality given inequality are: x < 4 or x > 6.
What is inequality?An inequality in mathematics is a relationship between two expressions or values that are not equal. Imbalance therefore leads to inequality. An inequality establishes a connection between two values that are not equal in mathematics. Equality is different from inequality. The inequality sign () is most commonly used when two values are not equal. Various inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be solved by changing both sides until only variables remain. But many things contribute to inequality.
two inequalities
4x - 6 < 10
4x < 16
x < 4
2x - 4 > 8
2x > 12
x > 6
Therefore, the solutions to the given inequality are:
x < 4 or x > 6.
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Pls help I need these by midnight
Maria is buying ping pong balls online. Website A charges $6 per box of ping pong
balls, plus an $8 service charge. Website B charges $5 per box, along with a shipping
and handling fee of $10. How many boxes does Maria need to buy for the cost of
both websites to be the same?
18 boxes
2 boxes
6 boxes
1 box
Answer:
2 boxes
Step-by-step explanation:
im sorry this is a bit late but this is for other people
Which number is larger than 1.1213 × 10^10
A. 5,445,127,000
B. 1.1217 x 10
C. 560,123,800
D. 2.468 × 10
Answer:
1.1217 x 10^10
Step-by-step explanation:
Since the question is Which number is larger than 1.1213 × 10^10 1.1217 x 10^10
is a number larger then 1.1213 × 10^10 because it has the same exponent as the problem in the question but 1.1217 has .0004 more then the problem in the question.
HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY
4x +8
To be correct, the students could have written any of the following expressions EXCEPT –
1. 12x
2. 4(x + 2)
3. 3x + 8 + x
4. 2 + 2x + 2x +6
625=5^(7x-3) what is x
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
according to a recent study from the centers for disease control on american adults, the proportion that have a mobile phone is 89%, the proportion that have a landline is 57%, and 2% have neither a landline nor a mobile phone. what proportion of american adults have a mobile phone, and not a landline?
Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.
The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.
Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).
Given information:
P(M) = 89% (proportion with a mobile phone)
P(L) = 57% (proportion with a landline)
P(N) = 2% (proportion with neither)
We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:
P(M and not L) = P(M) - P(M and L)
To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:
P(M and L) = P(L) - P(N)
P(M and L) = 57% - 2%
P(M and L) = 55%
Now we can substitute the values back into the equation to find P(M and not L):
P(M and not L) = P(M) - P(M and L)
P(M and not L) = 89% - 55%
P(M and not L) = 34%
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An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table.
y
p(x, y)
0 5 10 15
x 0 0.03 0.06 0.02 0.10
5 0.04 0.15 0.20 0.10
10 0.01 0.15 0.13 0.01
(a) Compute the covariance for X and Y. (Round your answer to two decimal places.)
Cov(X, Y) =
(b) Compute rho for X and Y. (Round your answer to two decimal places.)
rho =
(a) The covariance for X and Y i.e., Cov(X,Y) = -0.01
(b) rho for X and Y is -0.00038 (rounded to two decimal places).
To compute the covariance of X and Y, we have the following formula:
Cov(X,Y) = E[XY] - E[X]E[Y]
Where E[X] and E[Y] represent the expected values of X and Y respectively, while E[XY] represents the expected value of the product of X and Y.
Now to compute the covariance:
XY: 0(0.03) + 5(0.04) + 10(0.01) + 5(0.15) + 10(0.15) + 15(0.02) + 20(0.2) + 30(0.1) + 15(0.13) + 30(0.01) = 8.2E[X] = 0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) = 7.3E[Y] = 0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) = 10.1
So Cov(X,Y) = E[XY] - E[X]E[Y] = 8.2 - 7.3(10.1) = -0.01
Therefore, Cov(X,Y) = -0.01
To compute the correlation coefficient, we have the formula:
ρ = Cov(X,Y) / (σ_xσ_y)
Where Cov(X,Y) is the covariance, σ_x is the standard deviation of X, and σ_y is the standard deviation of Y.
To find σ_x:
σ_x = sqrt[0(0.03+0.06+0.02+0.1) + 5(0.04+0.15+0.2+0.1) + 10(0.01+0.15+0.13+0.01) - (7.3)^2]σ_x = 4.25
To find σ_y:
σ_y = sqrt[0(0.03+0.04+0.01) + 5(0.06+0.15+0.15) + 10(0.02+0.2+0.13) + 15(0.02+0.1) - (10.1)^2]
σ_y = 6.48
So ρ = Cov(X,Y) / (σ_xσ_y) = -0.01 / (4.25)(6.48) = -0.00038
Therefore, rho = -0.00038 (rounded to two decimal places).
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todo esta en la foto Everything is in the picture
someone pls help me 20 points
Last month, Seth made money by selling stocks. His investment income was $401\$401$401dollar sign, 401.
This month, Seth's investment income is −$261-\$261−$261minus, dollar sign, 261. What does this mean?
That means , Seth gain loss of $261 on his selling stocks.
Last month, Seth made money by selling stocks. His investment income was $401 This month, Seth's investment income is −$261 What does this mean?
Profit(P)
The amount gained by selling a product for more than its cost price.
Loss(L)
The amount the seller incurs after selling the product less than its cost price is mentioned as a loss.
Cost Price (CP)
The amount paid for a product or commodity to purchase is called a cost price. Also, denoted as CP. This cost price is further classified into two different categories:
Fixed Cost: The fixed cost is constant, it doesn’t vary under any circumstances
Variable Cost: It could vary depending on the number of units and other factors
Selling Price (SP)
The amount for which the product is sold is called the Selling Price. It is usually denoted as SP. Also, sometimes called a sale price.
Marked Price Formula (MP)
This is basically labelled by shopkeepers to offer a discount to the customers in such a way that,
Discount = Marked Price – Selling Price
And Discount Percentage = (Discount/Marked price) x 100
Profit and Loss Formulas
Now let us find the profit formula and loss formula.
The profit or gain is equal to the selling price minus the cost price.
Loss is equal to the cost price minus the selling price.
Profit or Gain = Selling price – Cost Price
Loss = Cost Price – Selling Price
The formula for the profit and loss percentage is:
Profit percentage (P%) = (Profit /Cost Price) x 100
Loss percentage (L%) = (Loss / Cost price) x 100
Last month
Seth made money by selling stocks.
His investment income was $401
That means , Seth gain profit of $401 on his selling stocks.
This month
Seth's investment income is −$261
That means , Seth gain loss of $261 on his selling stocks.
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consider the data below: 12 45 35 45 24 34 65 43 23 43 a.) find p20 b.) find p67 c.) find the percentile corresponding to 34 d.) create a boxplot
a) P20 is the 20th percentile, which separates the lowest 20% of the data from the highest 80%. To find P20, you would need to put the data in numerical order and find the value at the 20th percentile.
b) P67 is the 67th percentile, which separates the lowest 67% of the data from the highest 33%. To find P67, you would need to put the data in numerical order and find the value at the 67th percentile.
c) 34 is the 34th percentile, which separates the lowest 34% of the data from the highest 66%. It is the value at the 34th percentile
d) A boxplot is a graphical representation of a dataset that shows the minimum, first quartile, median, third quartile, and maximum of the data. To create a boxplot, you would need to put the data in numerical order, then calculate the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of the data. These values are then plotted on a graph, with the box representing the interquartile range (Q3 - Q1) and the whiskers representing the minimum and maximum values. The outliers(if any) will be plotted as dots
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i need help!! someone please help me!
Answer:
B
Step-by-step explanation: