Ricardo bought 3 pounds of gummy bears for $7.77. What is price per pound for the gummy bears?
Answers
Answer:
2.59
Step-by-step explanation:
Related Questions
please help I don't get it
Answers
2. Using proportion, the value of x = 38, the length of FC = 36 in.
3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.
2. The proportion we would set up to find x is:
(x - 2) / 4 = 27 / 3
Solve for x:
3 * (x - 2) = 4 * 27
3x - 6 = 108
3x = 108 + 6
Simplifying:
3x = 114
x = 114 / 3
x = 38
Length of FC = x - 2 = 38 - 2
FC = 36 in.
3. The proportion we would set up to find x based on the angle bisector theorem is:
13 / 3x = 7 / (2x - 5)
Cross multiply:
13 * (2x - 5) = 7 * 3x
26x - 65 = 21x
26x - 21x - 65 = 0
5x - 65 = 0
5x = 65
x = 65 / 5
x = 13
Length of CD = 3x = 3(13)
CD = 39 cm
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Evaluate e3/2 to one decimal place
Answers
Answer:
Assuming you mean e to the power of 3/2, your answer should be 4.5. (4.482 rounded to the tenth.)
Step-by-step explanation:
"e" is simply 10 with an exponent. "e" to the power of 3/2 means \(10^{3/2}\).
Plugging this in comes up with approximately 4.482 which can be rounded to 4.5.
Answer:
4.5
Step-by-step explanation:
Gandalf the Grey started in the Forest of Mirkwood at a point with coordinates and arrived in the Iron Hills at the point with coordinates (3, 4). If he began walking in the direction of the vector and changes direction only once, when he turns at a right angle, what are the coordinates of the point where he makes the turn?
Answers
Since the equation does not equal zero, our initial guess was incorrect. We would need to solve the equation using other methods such as factoring, completing the square, or using the quadratic formula to find the precise coordinates where Gandalf makes the turn.
To determine the coordinates where Gandalf the Grey makes the turn, we need to find a vector that represents the direction from the Forest of Mirkwood to the Iron Hills.
The vector representing the direction can be obtained by subtracting the coordinates of the starting point (Forest of Mirkwood) from the coordinates of the destination point (Iron Hills). Therefore:
Direction vector = (3, 4) - (x, y)
Since Gandalf makes a right-angle turn, the direction vector will be perpendicular to the vector between the turn point and the starting point.
For two vectors to be perpendicular, their dot product must be zero. The dot product of two vectors (a, b) and (c, d) can be calculated as ac + bd.
Using this information, we can set up the equation:
(3, 4) - (x, y) dot (x, y) = 0
Expanding the equation, we get:
(3 - x) * x + (4 - y) * y = 0
Simplifying further, we have:
3x + 4y - x^2 - y^2 = 0
Since Gandalf changes direction only once, we can assume that the turn point is within reasonable proximity to the starting point. Hence, we can make an educated guess to solve the equation. Let's assume x = 1 and y = 2 as an example.
Substituting these values into the equation:
3(1) + 4(2) - (1^2) - (2^2) = 0
3 + 8 - 1 - 4 = 6 - 5 = 1
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given f(x) = -x^2+x, find f(-1)
Answers
Answer:
f(-1)=0
Step-by-step explanation:
\(f(x) = -x^2+x\\\\Now,\\\\f(-1)=-(1)^{2} +(-1)\\\\f(-1)=1-1\\\\f(-1)=0\)
Answer:
-2
Step-by-step explanation:
Since they said f(-1) we know that x = -1
So we plug in -1 for anything that says x
-1^2 - 1
Now we do 1^2 = 1 then mulitpy by -1
that give us -1
-1^2 = -1
-1 - 1 = -2
Can you please help me with this. Last part of the question.
Answers
We know that function f(x) is given by
\(f(x)=x\)where the slope is the coefficient of the variable x, that is, the slope,m, is
\(m=1\)Since g(x) is given by
\(g(x)=6\cdot f(x)\)we have that
\(g(x)=6x\)where the slope is equal to 6, in other words
\(m\longrightarrow m=6\times1=6\)Therefore, the slope of the graph of g(x) is 6 times the slope of the graph of f(x).
Since the y-intercept of f(x) is zero, then the y-intercept of g(x) is zero too. Then, the answer is: the y-intercept does not change.
if the world's population increased exponentially from 6.081 billion in 2000 to 7.504 billion in 2018 and continued to increase at the same percentage rate from 2018 to 2024, calculate to 2 decimal places what the world's population would have been in 2024.
Answers
Assuming the same percentage rate of population growth from 2018 to 2024 as from 2000 to 2018, the world's population in 2024 would be approximately 9.23 billion.
To calculate this, we first need to find the annual percentage rate of growth from 2000 to 2018. We can do this using the formula:
\(Annual growth rate = (final population / initial population)^{1 / number of years} - 1\)
Plugging in the values, we get:
\(Annual growth rate = (7.504 billion / 6.081 billion)^{1 / 18} - 1\)
Annual growth rate = 1.20%
Now we can use this growth rate to estimate the population in 2024. To do this, we can use the formula:
Population in 2024 = 7.504 billion * (1 + annual growth rate)^(number of years from 2018 to 2024)
Plugging in the values, we get:
Population in 2024 = 7.504 billion * (1 + 0.0120)^(6)
Population in 2024 ≈ 9.23 billion
Therefore, if the world's population continues to increase at the same percentage rate from 2018 to 2024 as it did from 2000 to 2018, the world's population would have been approximately 9.23 billion in 2024.
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Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to simulate the number of compressor failures each year over the next 20 years. Using data from a similar apartment building he manages in a New Orleans suburb, Clark establishes a table of relative frequency of failures during a year as shown in the following table:
NUMBER OF A.C. COMPRESSOR FAILURES PROBABILITY (RELATIVE FREQUENCY)
0 0.06
1 0.13
2 0.25
3 0.28
4 0.20
5 0.07
6 0.01
He decides to simulate the 20-year period by selecting two-digit random numbers from the random number table.
Conduct the simulation for Clark. Is it common to have three or more consecutive years of operation with two or fewer compressor failures per year?
Answers
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
Clark Property Management should expect to experience some consecutive years with higher compressor failure rates.
Let X represent the number of AC compressor failures. Thus, the probability distribution of X is as follows :
Number of Compressor Failures Probability (Relative Frequency)
0 0.061 0.132 0.253 0.284 0.205 0.076 0.01.
We will select two-digit random numbers from a table of random numbers. We will simulate 20 years of compressor failure.
As a result, there will be a total of 20 values of X, each representing a year's worth of data.
We may now determine whether it is typical to have three or more consecutive years with two or fewer compressor failures per year.
The Monte Carlo simulation is used to complete this task. We may use an online random number generator if a table of random numbers is not available.
Monte Carlo simulation is a statistical modeling method that employs random sampling techniques to simulate the output of a complicated system.
It is a stochastic modeling technique that allows for uncertainty and risk evaluation in complex systems where deterministic methods are insufficient.
Monte Carlo simulation generates random input values for a system with a mathematical model, allowing it to calculate possible outcomes.
These results are then used to generate probability distributions of potential results.
In essence, the Monte Carlo simulation is an experiment conducted on a computer that provides insight into the degree of risk related to decision-making.
1. Set up a model: Determine the system and create a mathematical model that will be utilized in the Monte Carlo simulation.
2. Define input values: Identify the variables that will affect the model's output and define input probability distributions for each.
3. Generate random numbers: Using the input probability distributions, generate random numbers for each variable
4. Run simulations: Run a large number of simulations using the random numbers generated in step 3.
5. Analyze the results: Using the outputs of the Monte Carlo simulation, estimate potential outcomes and the likelihood of different results.
6. Make decisions: Use the data and insights obtained from the Monte Carlo simulation to inform your decision-making.
After conducting the Monte Carlo simulation, it was determined that it is unusual to have three or more consecutive years with two or fewer compressor failures per year.
The probability of having three or more consecutive years with two or fewer compressor failures per year is about 6.16%.
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The back to back stem plot shows the number of books read in a year by a group of high school and college students which statements are correct?
Answers
The correct statement are:
The range for high school students is larger than college students.The college median is equal to the high school median.Based on the given information, we can make the following conclusions:
A. The interquartile range for high school students is smaller than college students.
The statement is False
B. The mean for high school students is smaller than college students.
The statement is False because the mean of College is 25.28 and mean for High school is 30.4.
C. The range for high school students is larger than college students.
The statement is True .
D. The college median is equal to the high school median.
The statement is True because the median for both is 24..
E. The mean absolute deviation is larger for college students than high school students.
The statement is False.
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El capitán Ben tiene un barco, el H.M.S.
Crimson Lynx. El barco está a cinco leguas del
temible pirata Luis con su banda de ladrones
desalmados.
Si su barco no ha sido cañoneado, el capitán
2
Ben tiene una probabilidad de de atinarle al
3
barco pirata. Si su barco ha sido cañoneado, el
capitán Ben siempre fallará.
Si su barco no ha sido cañoneado, el temible
1
pirata Luis tiene una probabilidad de de
3
atinarle al barco del capitán. Si su barco ha
sido cañoneado, el temible pirata Luis siempre
fallará.
Si tanto el capitán como el pirata disparan una
vez, y el pirata dispara primero, ¿cuál es la
probabilidad que el pirata le atine al barco del
capitán y que el capitán falle su dsiparo?
Answers
1. El barco del capitán no ha sido cañoneado y el pirata dispara con éxito, y el capitán falla su disparo.
2. El barco del capitán no ha sido cañoneado y tanto el pirata como el capitán fallan sus disparos.
3. El barco del capitán ha sido cañoneado y tanto el pirata como el capitán fallan sus disparos.
La probabilidad de la primera situación es (1/3) x (2/3) = 2/9, ya que el pirata tiene una probabilidad de 1/3 de atinarle al barco del capitán si este no ha sido cañoneado, y el capitán tiene una probabilidad de 2/3 de fallar su disparo si el barco no ha sido cañoneado.
La probabilidad de la segunda situación es (2/3) x (1/3) = 2/9, ya que tanto el pirata como el capitán tienen una probabilidad de 2/3 y 1/3, respectivamente, de fallar sus disparos si el barco no ha sido cañoneado.
La probabilidad de la tercera situación es 1/3 x 1/3 = 1/9, ya que tanto el pirata como el capitán tienen una probabilidad de 1/3 de fallar sus disparos si el barco ha sido cañoneado.
Por lo tanto, la probabilidad de que el pirata le atine al barco del capitán y que el capitán falle su disparo si el pirata dispara primero es la probabilidad de la primera situación, que es 2/9.
when summarizing heavily skewed data, the best measure of central tendency is:
Answers
When summarizing heavily skewed data, the best measure of central tendency is the median.
In situations where the data distribution is heavily skewed, the mean may not accurately represent the central tendency of the data. Skewness refers to the asymmetry of the data distribution, where the tail of the distribution extends more to one side. When data is heavily skewed, it can be influenced by extreme values, leading to an unbalanced representation of central tendency if the mean is used.
The median, on the other hand, is less affected by extreme values and provides a better measure of central tendency for skewed data. The median represents the middle value in a data set when the observations are arranged in ascending or descending order. Unlike the mean, it is not influenced by extreme values, making it a robust measure for summarizing skewed data.
By using the median, we can capture the central value that is more representative of the majority of the data points, even in the presence of outliers or skewed distributions. It provides a better understanding of the typical value or position within the data set, regardless of extreme values or asymmetric distributions.
Therefore, when summarizing heavily skewed data, the median is considered the best measure of central tendency as it provides a more accurate representation of the center of the distribution and is less influenced by extreme values.
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if f(1) = 12, f ' is continuous, and 6 f '(x) dx 1 = 16, what is the value of f(6)
Answers
To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.
Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:
∫[a to b] f '(x) dx = f(b) - f(a)
In this case, we are given that:
∫[1 to 6] 6 f '(x) dx = 16
We can simplify the integral:
6 ∫[1 to 6] f '(x) dx = 16
Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:
6 f(6) - 6 f(1) = 16
Substituting the given value f(1) = 12:
6 f(6) - 6(12) = 16
6 f(6) - 72 = 16
Next, we isolate the term with f(6):
6 f(6) = 16 + 72
6 f(6) = 88
Finally, we solve for f(6) by dividing both sides by 6:
f(6) = 88 / 6
f(6) = 44/3
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max and orlena bought 23 acres of land for $110,400. they bought some of the acres at $4000 per acre and some at $6300 per acre. how many acres did they buy at each price?
Answers
They bought 15 acres at $ 4000 per acre and 8 acres at $6300 per acre
Let,
They bought x acres at $ 4000
and ( 23-x ) acres at $ 6300
From information,
By using algebra,
4000x + 6300(23-x) = 110,400
4000x - 6300x+ 144900 = 110,400
-2300x = 110,400-144900
- 2300x = - 34500
x =34500 /2300
x = 15
x = 15
They bought 15 acres at $ 4000 per acre
(23 - 15 ) = 8 acres at $6300 per acre
Hence, they purchased 8 acres for $6300 per acre and 15 acres for $4,000 each.
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Do anyone know this
Make sure is the correct answer please
Answers
9514 1404 393
Answer:
(a) P = 44 cm + 18 cm + 18 cm = 80 cm
(b) 396 cm²
(c) (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm
(c) (ii) 7 cm
Step-by-step explanation:
(a) The length of arc PQR is given by the formula ...
s = rθ . . . . . where r is the radius and θ is the angle in radians
The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9
So, the arc length is ...
PQR = (18 cm)(22/9) = 44 cm
Then the perimeter of the figure is ...
P = PQR +RO +OP = 44 cm + 18 cm + 18 cm
P = 80 cm
__
(b) The area of a sector is given by ...
A = 1/2r²θ = 1/2(rs)
A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector
__
(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:
height = √((slant height)² - radius²) = √(18² -7²) = √275
height ≈ 16.58 . . . cm
(ii) The length of arc PQR is the circumference of the base of the cone, given by ...
C = 2πr . . . . where r is the radius of the base of the cone
Filling in the known values, we find ...
44 cm = 2(22/7)r
(44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r
The radius of the base of the cone is 7 cm.
Blake is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Blake need to invest, to the nearest hundred dollars, for the value of the account to reach $76,000 in 17 years
Answers
The amount that Blake should have invested is $28875.38
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.
Given here: Interest rate=5.7% compounded daily
Let p be the principal that Blake needs to invest
76000=P(1+5.7%/365)³⁶⁵ ˣ ¹⁷
76000=P(1.000156)⁶²⁰⁵
P=$28875.38
Thus Blake should have invested $28875.38
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The following cone has a slant height of 17
cm and a radius of 8
cm.
What is the volume of the cone?
Responses
480π
320π
544π
Answers
The formula for the volume of a cone is:
V = (1/3)πr²h
where r is the radius of the base, h is the height of the cone, and π is pi.
In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:
h² = s² - r²
h² = 17² - 8²
h² = 225
h = 15
Now that we have the height, we can plug in the values for r and h into the formula for the volume:
V = (1/3)π(8²)(15)
V = (1/3)π(64)(15)
V = (1/3)(960π)
V = 320π
Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.
Graph each function. State the domain and range. y=-2(1/4)^x-3
Answers
Answer:
hi the answer is y=-3
Step-by-step explanation:
i got it right on my test
At a summer camp, 6-year-olds are in Group A, 7-year-olds are in Group B, and 8-year-olds are in Group C. Is the group assignment a function of age? If so, is the function one-to-one or many-to-one?
Answers
Answer:
yes!!!
Step-by-step explanation:
Answer:
A.Yes;many-to-one
Step-by-step explanation:
In the Green Food System Strategy, the "vision to be achieved by 2050" (numerical targets) is presented. Select the number of the following targets that are correctly described.
-Chemical pesticide use (in terms of weight) will be reduced by 50% by 2050.
-With regard to chemical fertilizers, the use of chemical fertilizers produced in Japan from fossil fuels will be reduced by 30% by 2050.
-Regarding organic agriculture, expand the organic market and increase the ratio of organic farming to arable land to 30% (1 million hectares) by 2050.
-Regarding food loss, reduce household food loss by half from the FY2000 level by 2030.
a. 0 b. 1 c. 2 d. 3 or more
Answers
Option c. 2
Among the given targets, two targets are correctly described:
Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.
In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.
The remaining two targets are not correctly described:
The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.
The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.
Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.
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Find the exact value of cos J in simplest form.
√29
14
15
H
Answers
The cosine of angle J is given as follows:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:
Sine = length of opposite side/length of hypotenuse.Cosine = length of adjacent side/length of hypotenuse.Tangent = length of opposite side/length of adjacent side = sine/cosine.For the angle J in this problem, we have that:
4 is the adjacent side.\(\sqrt{98}\) is the hypotenuse.Hence the cosine of angle J is given as follows:
\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)
\(\cos{J} = \frac{4\sqrt{98}}{98}\)
\(\cos{J} = \frac{2\sqrt{98}}{49}\)
As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:
\(\cos{J} = \frac{14\sqrt{2}}{49}\)
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e ohio lottery has a game called pick 4 where a player pays $1 and picks a four-digit number. if the four numbers come up in the order you picked, then you win $3900. a) write the probability distribution for a player's winnings. fill in the table below. for the computer to grade this one correctly make sure that your x values are from smallest to largest.
Answers
The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.
To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.
There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.
To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:
Net Winnings = $3,900 - $1 = $3,899
The probability distribution for the player's winnings can be summarized in the following table:
| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0 | 0.9999 |
| $3,899 | 0.0001 |
Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.
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What are the properties of equilateral triangles?
Answers
Properties of equilateral triangles are:
All three sides of an equilateral triangles are equal and let be a units.All three angles are equal to 60 degreesEquilateral triangles is a regular polygon of 3 side.Equilateral triangles have the same point as its ortho-centre as well as its centroid . The median, angle bisector, and altitude of an equilateral triangle are all equal and the same straight line.An equilateral triangle's area is = \(\frac{\sqrt{3} }{4} *a^2\).perimeter of an equilateral triangle is 3a.The length of perpendicular form a vertex to the side opposite to that vetex measure\(\frac{\sqrt{3} }{2} *a\).To know more about equilateral triangles click on below link:
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Graph: y = x + 2 + 1
Answers
The graph of the function y = |x + 2| + 1 is added as an attachment
Graphing the function y = |x + 2| + 1Given that
y = |x + 2| + 1
The graph of the absolute function y = |x + 2| + 1 is a V-shaped graph that has been shifted to the left by 2 units and shifted upwards by 1 unit.
When x is less than -2, the expression |x + 2| is negative, so the function becomes y = -(x + 2) + 1, which simplifies to y = -x - 1.
This is a straight line that passes through the point (-3, 0) and has a slope of -1.
As x increases beyond -2, the absolute value of x + 2 becomes positive, so the function becomes y = (x + 2) + 1, which simplifies to y = x + 3.
This is another straight line that passes through the point (-1, 2) and has a slope of 1.
The graph is attached
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a die is rolled and a coin is tossed at the same time. what is the probability of rolling a 2 and the coin landing on tails?
Answers
Answer:
1/12
Step-by-step explanation:
The probability of rolling a two is
P(2) = number of twos/ total
=1/6
The probability of landing on tails
P(tails) = tails/total
=1/2
P(2, tails) = P(2) * P(tails) since they are independent events
= 1/6 * 1/2
=1/12
A landscaper is designing a display of flowers for an area in a public park. The flower seeds will be planted at points that lie on a circle that has a diameter of 8 feet. the point where any seed is planted must be 2 feet away from the seeds on either side of it. what is the maximum number of flower seeds that can be planted using the design?
after planting the flower seeds the landscaper has 20 seeds left over. the landscaper wants to plant all of the remaining seeds in another circle so that the seeds are 2 feet apart. what is the diameter of the smallest circle that the landscaper can use to plant all of the remaining seeds?
Answers
The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
How to find the Z score
P(Z ≤ z) = 0.60
We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.
Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.
For the second question:
We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:
P(Z ≥ z) = 0.30
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).
Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.
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f(x) = 2x² - 4x - 3
what is the range of the equation?
Answers
Step-by-step explanation:
y = 2x^2 - 4x -3 a = 2 b=-4 c = -3
This is a bowl shaped parabola
Minimum value will occur at x = - b/2a = 4/4 = 1
calculate this minimum value at x = 1 to be y = -5
the two arms of the parabola go up to + inf from there
range = [-5, +∞)
A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game, a ball is tossed in the spinning wheel and lands in a random slot. Suppose we watch 7 77 rounds of this game, and let R RR represent the number of rounds where the ball lands in a red slot. Which of the following would find P ( R = 3 ) P(R=3)P, left parenthesis, R, equals, 3, right parenthesis?
Answers
The value of P(R = 3) is 0.2854
ProbabilityProbabilities are used to determine the chances of events.
The given parameters are:
\(n = 38\) --- the number of slots\(red = 18\). --- the number of red slot\(black = 18\). --- the number of black slot\(green = 2\). --- the number of green slotIndividual probabilitiesThe probability that the ball lands on a red slot is calculated as:
\(p = \frac{18}{38}\)
Simplify
\(p= \frac{9}{19}\)
The probability that the ball does not land on a red slot is calculated as:
\(q = \frac{18+2}{38}\)
\(q = \frac{20}{38}\)
Simplify
\(q = \frac{10}{19}\)
Binomial probabilityThe value of P(R = 3) is then calculated using the following binomial probability formula
\(P(R = r) = ^nC_rp^rq^{n-r}\)
Where:
\(n = 7\)
\(r = 3\)
So, we have:
\(P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}\)
\(P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4\)
\(P(R = 3) = 0.2854\)
Hence, the value of P(R = 3) is 0.2854
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write at least 3 different expressions that are eqivalent to -1/2 (-12x + 30)
Answers
Answer:
6x-15 3(x-5) 3/2(2x-10)
Step-by-step explanation:
simplify
-1/2(-12x+30)
6x-15
factor in different ways
3(x-5)
3/2(2x-10)
What is the area of the triangle in square yards?
Answers
Answer:
DON'T LOOK AT THE PICTURE!!
Step-by-step explanation:
What is the slope? (IXL)
Answers
Answer:
The slope would be 5/2.
Step-by-step explanation:
Hold on I need to write this down
x y
50 0
70 50
------------
50/20
or
5/2
in a paired design, each pair of observations always consists of measuring the same individual twice. (True or False)
Answers
In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.
This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.
The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.
In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.
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