Answer:
C and EStep-by-step explanation:
There are 3 pairs of expressions:
A and B are same but incorrect: x² - 14x - 32C and E are same and correct: x² - 4x - 32D and F are same but incorrect: x² + 4x - 32Tip:-
If ax^2+bx+c=0 then. The zeros follow the below rule .
The zeros be p and q thenpq=acp+q=bSolution
Find one by one
C)\(\\ \sf\longmapsto (x-8)(x+4)=>x=8,-4\checkmark\)
E)\(\\ \sf\longmapsto (x+4)(x-8)=>x=-4,8\checkmark\)
Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
what is the equation of the line that passes through the point (-3, 5) with the slope of 4
Answer:
y = 4x + 17
Step-by-step explanation:
Plug in values into y = mx + b
What is the probability that a randomly selected person from this study tried to quit smoking using a lozenge given that they also use gum?
Answer:
866/733
Step-by-step explanation:
172 divided by the total numbers
i.e 172/239+102+40+106+661+60+172+86
=172/1466
=86/733
The probability that a randomly selected person from this study tried to quit smoking will be 0.117
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We have been given the data in the vein diagram.
Thus, the probability that a randomly selected person from this study tried to quit smoking using a lozenge given that they also use gum will be;
Total number of person = 239+102+40+106+661+60+172+86 = 1466
Now 172 divided by the total numbers of selected person
= 172/1466
= 86/733
= 0.117
Hence, the probability that a randomly selected person from this study tried to quit smoking will be 0.117
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4 times 2 1/8 mixed number in simpileest form
Answer:
8.5
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
41×178
4
1
×
17
8
Applying the fractions formula for multiplication,
=4×171×8
=
4
×
17
1
×
8
=688
=
68
8
Simplifying 68/8, the answer is
=812
A circle is centered at the point O (0,0) and has a radius of the square root of 38?
Where’s does the K (6,1) lie?
Answer:
The point (6,1) lies inside the circle.
Step-by-step explanation:
Equation of a Circle
A circle centered at the point (h,k) and with radius r, can be expressed with the equation:
\((x-h)^2+(y-k)^2=r^2\)
The center of the given circle is (0,0) and the radius is \(r=\sqrt{38}\), thus the equation of the circle is:
\((x-0)^2+(y-0)^2=(\sqrt{38})^2\)
Simplifying:
\(x^2+y^2=38\)
Each point (x,y) meeting the condition of the equation lies exactly on its circumference. For example, the point \((\sqrt{2},6)\) belongs to the circumference, but the origin (0,0) is inside the circle, and the point (5,5) is outside the circle.
We can tell the difference by evaluating the equation at each point. For the first point \((\sqrt{2},6)\), the equation is:
\((\sqrt{2})^2+6^2=2+36=38\)
The equation is satisfied.
For the origin (0,0):
\(0^2+0^2=0\)
For the point (5,5):
\(5^2+5^2=50\)
We can conclude that if the left side is greater than 38, the point is outside the circle, if it's less than 38, the point is inside the circle.
Let's test the point (6,1):
\(6^2+1^2=37\)
The point (6,1) lies inside the circle.
Describe geometrically (or make a sketch of) the set of points z in the complex plane satisfying the given equation or inequalities.
a) l z l= 2
b) l z-2i l is less than 3
a) The set of points satisfying the equation |z| = 2 is a circle with radius 2 and center at the origin.
b) The set of points satisfying the inequality |z - 2i| < 3 is an ellipse with center at 2i and semi-major axis 3.
a) The absolute value of a complex number is its distance from the origin. So, |z| = 2 means that all points satisfying this equation are 2 units away from the origin. This forms a circle with radius 2 and center at the origin.
b) The distance between a complex number z and the number 2i is |z - 2i|. So, |z - 2i| < 3 means that all points satisfying this inequality are less than 3 units away from 2i. This forms an ellipse with center at 2i and semi-major axis 3.
Here is a sketch of the two sets of points:
[asy]
import graph;
size(150);
real r = 2;
real a = 3;
pair O = (0,0), C = (2,0);
draw(Circle(O,r));
draw(Circle(C,a));
label("|z| = 2", (r,0), N);
label("|z - 2i| < 3", (3.1,0), N);
[/asy]
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a) The set of points satisfying the equation |z| = 2 is a circle with radius 2 and center at the origin.
b) The set of points satisfying the inequality |z - 2i| < 3 is an ellipse with center at 2i and semi-major axis 3.
a) The absolute value of a complex number is its distance from the origin. So, |z| = 2 means that all points satisfying this equation are 2 units away from the origin. This forms a circle with radius 2 and center at the origin.
b) The distance between a complex number z and the number 2i is |z - 2i|. So, |z - 2i| < 3 means that all points satisfying this inequality are less than 3 units away from 2i. This forms an ellipse with center at 2i and semi-major axis 3.
Here is a sketch of the two sets of points:
[asy]
import graph;
size(150);
real r = 2;
real a = 3;
pair O = (0,0), C = (2,0);
draw(Circle(O,r));
draw(Circle(C,a));
label("|z| = 2", (r,0), N);
label("|z - 2i| < 3", (3.1,0), N);
[/asy]
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Solve this equation for x by graphing.
-4x - 1 = 5^x + 4
Please help! Asap
Answer:
-1.28
Step-by-step explanation:
You would put these two equations into a graphing ccalculator:
y = -4x - 1
and
y= 5^x + 4
Wherver they intersect is your answer.
These two happen to intersect at (-1.28,4.13)
Since the equation has x-values, you would give the first number (x-coordinate) as your answer.
Solve (−7) ⋅ (−4). Please hurry :D
-28
-11
28
11
Answer:
28
Step-by-step explanation:
\( - (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28\)
Solve the inequality for z.
11 ≤z - 9
Answer:
z \(\geq\) 20
Step-by-step explanation:
we start with the inequality 11 ≤ z - 9. Simplifying gives 20 ≤ z, so z \(\geq\) 20
In the scale used on a blueprint, 14inch represents 2 feet. On the blueprint what is the length of a room with an actual length of 20 feet?
Answer:
140in or 11.6 ft
Step-by-step explanation:
2 times 10 equals 20 so you would time 14 by ten to get the inches
A principal wishes to implement a decision that has to be a number between 0 and 1; that is, a decision d needs to be implemented where 0 sdS1. The difficulty for the principal is that she does not know what decision is appropriate given the current state of the economy, but she would like to implement a decision that exactly equals what is required given the state of the economy. In other words, if the economy is in state s (where 0 sS 1) the principal would like to implement a decision d s as the principal's utility Up (or loss from the maximum possible profit) is given by Up--s-d With such a utility function, maximising utility really means making the loss as small as possible. For simplicity, the two possible levels of s are 0.4 and 0.7, and each occurs with probability 0.5 There are two division managers A and B who each have their own biases. Manager A always wants a decision of 0.4 to be implemented, and incurs a disutility Ua that is increasing the further from 0.4 the decision d that is actually implement, specifically U-0.4-d.Similarly, Manager B always wants a decision of 0.7 to be implement, and incurs a disutility UB that is (linearly) increasing in the distance between 0.7 and the actually decision that is implemented - that is Ug--10.7 Each manager is completely informed, so that each of them knows exactly what the state of the economy s is (a) The principal can opt to centralise the decision but before making her decision given she does not know what the state of the economy is - she asks for recomm endation s from her two division mana gers. Centralisation means that the principal commits to implement a decision that is the average of the two recommendations she received from her managers. The recommendations are sent simultaneously and cannot be less than 0 or greater than 1 Assume that the state of the economy s = 0.7. What is the report (or recommendation) that Manager A will send if Manager B always truthfully reports s? (b) Again the principal is going to centralise the decision and will ask for a recommendation from both managers, as in the previous question. Now, however assume that both managers strategically make their recommendations. What are the recommendations rA and rB made by the Managers A and B, respectively, in a Nash equilibriunm
A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.
(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.
To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.
Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.
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\((7-\sqrt{2}) (7-\sqrt{2})\)
I NEED HELP PLEASE
Answer:
51 - 14√2
Step-by-step explanation:
Identity used :
(a - b)(a - b) = (a - b)² = a² - 2ab + b²Solving :
(7 - √2)(7 - √2)(7 - √2)²(7)² - 2(7)(√2) + (√2)²49 - 14√2 + 251 - 14√2Which of the following allows for someone to draw conclusions about a population from the information collected in a population sample? a. magnitude statistics b. central tendency c. inferential statistics d. effect size
The correct answer is c. Inferential Statistics.
Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.
Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.
This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.
Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.
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what is 39% of 200?
i already know it’s 78, i just need a explanation of how i got it.
Answer:
200 x .39
Step-by-step explanation:
200 x .39= 78
Answer:
39 percent of 200 is the same as 39 per hundred of 200. We can therefore make the following equation:
39/100 = X/200
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 200, and then finally divide the numerator by the denominator on the right side to get the answer.
39/100 = X/200
X/200 = 39/100
X*200/200 = 39*200/100
X = 7800/100
X = 78
The work above shows the long way to explain how to calculate 39 percent of 200 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:
(Y * P)/100
In our problem "What is 39 percent of 200?", Y is 200 and P is 39:
(200 * 39)/100 = 78
And once again you see that the answer is 78.
Step-by-step explanation:
You want to have $5000 in two years so that you can go on a vacation. How much should do you need put into your
account to have enough money if it pays 5.89% interest compounded weekly? Hint: You have A, you need to find P!**
You need to deposit $13 into a account to have amount $5000 in 2 years.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\).
Given that, Amount =$5000, rate of interest =5.89% and time period = 2 year = 104 weeks.
Now, 5000=P(1+5.89/100)¹⁰⁴
5000=P(1+0.0589)¹⁰⁴
5000=P(1.0589)¹⁰⁴
5000=384.5P
P=5000/384.5
P=$13
Therefore, you need to deposit $13 into a account to have amount $5000 in 2 years.
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what’s the midpoint of (1,-6) and (8,5)
Answer:
The midpoint is (4.5,-.5)
Step-by-step explanation:
The x coordinate of the midpoint is the sum of the x coordinate divided by 2
(1+8)/2 = 9/2 = 4.5
The y coordinate of the midpoint is the sum of the y coordinate divided by 2
(-6+5)/2 = -1/2 = -.5
The midpoint is (4.5,-.5)
Suppose a normally distributed set of data with 2400 observations has a mean of 162 and a standard deviation of 11. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 195. Round your result to the nearest single observation. Hint: This problem is asking for how many observations, not the percent. Answer= Tip: Don't round any probabilities or percentages in your calculations. Keep all decimal places and round at the END of the problem. Suppose a normally distributed set of data with 4000 observations has a mean of 137 and a standard deviation of 19. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be above a value of 118. Round your answer to the nearest whole value. Hint: This problem is asking for how many observations not the percent.
Rounding to the nearest whole value, we get the estimated number of observations above 118 as 2940.
To determine the number of observations expected to be below a certain value using the 68-95-99.7 Rule, we need to find the area under the normal distribution curve up to that value.
For the first scenario:
Mean (μ) = 162
Standard deviation (σ) = 11
Value to evaluate (x) = 195
We want to find the area under the curve to the left of x = 195. This corresponds to the cumulative probability of a value being less than 195 in a normal distribution.
Using a standard normal distribution table or a calculator, we can find that the cumulative probability for x = 195 is approximately 0.961. This means that about 96.1% of the observations are expected to be below 195.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.961 * 2400 = 2306.4
Rounding to the nearest single observation, we get the estimated number of observations below 195 as 2306.
For the second scenario:
Mean (μ) = 137
Standard deviation (σ) = 19
Value to evaluate (x) = 118
We want to find the area under the curve to the right of x = 118. This corresponds to the cumulative probability of a value being greater than 118 in a normal distribution.
Using the same approach, we can find that the cumulative probability for x = 118 is approximately 0.735. This means that about 73.5% of the observations are expected to be above 118.
To find the number of observations, we multiply the cumulative probability by the total number of observations:
Number of observations = 0.735 * 4000 = 2940
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A group of 6 friends of varying ages meets at a coffee shop and sits in a circle. What is the probability that the
youngest member of the group sits in the seat closest to the door?
Answer:
\(100.00 \div 6 \)
The probability that the youngest member of the group sits in the seat closest to the door 1 / 6
Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,
So, the probability = favorable outcomes / total outcomes
Here, the favorable outcome = 1
The total outcomes = 1, 2, 3, 4, 5, 6 = 6
So, the probability = 1/6 = 1/2
Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6
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What’s the median of
17,11,10,5,2
Answer:
the mean is 9
Step-by-step explanation:
Use the shell method to find the volume of the solid generated by revolving the plane region about the line x
To find the volume of the solid generated by revolving the plane region about the line x using the shell method, we need more specific information about the given plane region and the boundaries of integration.
The shell method is a technique used to calculate volumes of solids of revolution. It involves integrating cylindrical shells along the axis of rotation. However, in order to apply the shell method, we require additional details regarding the given plane region and the boundaries of integration.
Typically, the plane region is defined by a function or an equation. For example, if the plane region is bounded by the curves y = f(x), y = g(x), and the line x = a, x = b (where f(x) > g(x) for all x in the interval [a,b]), we can proceed with the shell method.
To calculate the volume using the shell method, we integrate the circumference of each cylindrical shell multiplied by its height. The differential height is given by Δh = f(x) - g(x), and the differential circumference is 2πx.
The integral expression for calculating the volume using the shell method is:
V = ∫[a,b] 2πx * (f(x) - g(x)) dx
By evaluating this integral over the appropriate interval [a,b], we obtain the volume of the solid generated by revolving the given plane region about the line x.
However, without specific information about the plane region, the equations or functions defining it, and the boundaries of integration, it is not possible to provide a numerical value for the volume. If you can provide more details or specify the plane region, I would be happy to assist you further in using the shell method to determine the volume.
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"It is recommended that you have a surface interval of at least __________ when making repetitive dives with enriched air."
It is recommended that you have a surface interval of at least one hour when making repetitive dives with enriched air.
The surface interval refers to the time spent on the surface between two consecutive dives. It is an essential aspect of dive planning, especially when using enriched air or nitrox, which contains higher levels of oxygen than regular air. Enriched air diving allows for extended bottom times due to reduced nitrogen absorption, but it also brings additional considerations for safety.
During a dive, nitrogen accumulates in the body tissues. If a diver ascends to the surface and immediately begins another dive without a sufficient surface interval, there is a risk of developing decompression sickness (DCS) or the bends. DCS occurs when dissolved nitrogen forms bubbles in the tissues due to a rapid decrease in pressure. These bubbles can cause various symptoms, ranging from mild joint pain to more severe neurological complications.
To minimize the risk of DCS and allow for the elimination of excess nitrogen, it is recommended to have a surface interval between dives. The standard guideline is to wait for at least one hour on the surface. This interval allows the body to off-gas nitrogen, reducing the likelihood of bubble formation during subsequent dives.
However, it's important to note that the surface interval may vary depending on factors such as the depth and duration of the previous dive, the diver's age and physical condition, and the specific gas mixture used. In some cases, divers may opt for longer surface intervals to ensure a more conservative approach to decompression.
In conclusion, when making repetitive dives with enriched air, it is crucial to adhere to the recommended surface interval of at least one hour. This interval allows the body to off-gas excess nitrogen and reduces the risk of decompression sickness. However, it is always important to consider individual factors and consult diving tables, dive computers, or a qualified dive professional to determine the appropriate surface interval for safe and enjoyable diving experiences.
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PLEASE HELP I NEED HELP PLEASE
Answer:
The volume of the cylinder is 3 times the volume of the cone.
Step-by-step explanation:
Volume of Cylindar: 78.54
Volume of Cone: 26.18
The volume of the cylinder is 3 times the volume of the cone.
In a geometric sequence, a₁ =3 and a₅ =768 . Explain how to find a₂ and a₃ .
To find a₂ and a₃ in a geometric sequence, we need to determine the common ratio (r) first.
In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, denoted as "r." Given that a₁ = 3 and a₅ = 768, we can use these values to find the common ratio.
We can use the formula for the nth term of a geometric sequence: aₙ = a₁ * r^(n-1).
Substituting a₁ = 3 and a₅ = 768, we have:
a₅ = a₁ * r^(5-1)
768 = 3 * r^4
Now, we can solve for the common ratio, r, by dividing both sides of the equation by 3 and taking the fourth root:
r^4 = 768/3
r^4 = 256
r = ∛(256)
r = 4
Now that we have the common ratio, we can use it to find a₂ and a₃.
To find a₂, we use the formula a₂ = a₁ * r^(2-1):
a₂ = 3 * 4^(2-1)
a₂ = 3 * 4
a₂ = 12
To find a₃, we use the formula a₃ = a₁ * r^(3-1):
a₃ = 3 * 4^(3-1)
a₃ = 3 * 16
a₃ = 48
Therefore, a₂ = 12 and a₃ = 48 are the values for the second and third terms in the geometric sequence, respectively.
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Tell whether xy = 8 shows direct variation, inverse variation, or neither.
Answer:
inverse
Step-by-step explanation:
y = k/x indicates inverse variation, which is the same as xy = k
in this particular problem, k = 8
On a survey, 7 students reported how many minutes it takes them to travel to school. Here are their responses.
8, 4, 4, 10, 8, 6, 15
Send data to calculator
Find the mean travel time for these students.
If necessary, round your answer to the nearest tenth.
hellllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppppppppppppppppppp
Answer:
d) what percent are driven by car,bus, or other transit
Step-by-step explanation:
ANSWER SOON!!!!!!!!!!!!!!!!!! ASAP
Which group of words sound the most like a theme?
I love my friends.
True friends stay together through good times and bad.
I get angry at my friends.
Jess is my best friend
I would say it would be "True friends stay together through good times and bad" because it gives a moral of a story.
Answer:
True friends stay together through good times and bad.
Step-by-step explanation:
Yeeeeeeeeeeeeeeeeeee
Answer:
did you get chicken nuggets? why so happy
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
What ratio of 25 dextrose and 10% dextrose should be mixed to make a 20% Dextrose? Comments for What Ratio of 25% Dextrose and 10% Dextrose to make 20% Dextrose? 10 parts 25% and 5 parts 10% solution equals 20% mixture.
Answer:
10:5 OR 2:1
Step-by-step explanation:
Let x be the parts of 25% dextrose and
y be the parts of 10% dextrose are mixed so that
20% dextrose mixture is obtained.
amount of dextrose in the mixture will be 20% of (x+y).
We have to find the value of \(\frac{x}y \ OR\ x:y\)
Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.
\(\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}\)
So, the answer is 10:5 or 2:1.
Answer:
4.90% is approximately the new Dextrose concentration.
Explanation:
Volume by Volume percent is given by ;
Volume percentage of dextrose solution = 5%
In 100 mL of solution 5 ml of dextrose is present.
Now, volume sterile water added was equal to the 40% of volume of dextrose volume.
So, volume of the sterile water added =
Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL
New concentration of dextrose will be;
4.90% is approximately the new Dextrose concentration.
Step-by-step explanation: