The chi-square distribution of Y having 32 degrees of freedom, in a way that its variance is 64 and also P (Y > c) = 0.0668, then the approximate value of the constant c is calculated to be 2060.08.
We are aware of the fact that Y has a chi-square distribution with 32 degrees of freedom and an d has variance 64. So, the mean of Y is equal to its degrees of freedom times its variance, which can be calculated 32 x 64 = 2048.
Also the constant c can be expressed as Y0 such that P(Y > Y0) = 0.0668. Since Y is a continuous distribution, Chi-square table can be utilized to find out the value of Y0 that is related to this probability.
We can find that the critical value of chi-square with 32 degrees of freedom and a probability of 0.0668 is 44.12. Hence, Y0 can be approximated as :
Y0 ≈ mean + standard deviation x z-score
Here, z-score is the number of standard deviations distant from the mean that corresponds to the probability of 0.0668. We can find the z-score by comparing the probability in a standard normal distribution table, which gives us a z-score of approximately 1.51.
The standard deviation of Y can be found using the calculation of square root of its variance, i.e. 8. Therefore, we can insert these values to find,
Y0 ≈ 2048 + 8 x 1.51 ≈ 2060.08
So from the above calculations it can be inferred that the value of the constant c for the given chi-square distribution as per the mentioed conditions will be approximately equal to 2060.08.
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Edward invested $43,800 in an account which yields 4.8%
annually. How much will be in the account after 24 months?
Answer:
I think it’s
$ 4,128.00
But I don’t know for sure
3,7,2,4,7,5,7,1,8,8
What is the mean
a) The mode of the list is 7
b) The median of the list is 7.
c) The mean is 5.4
d) The range is 7
What is the Mean, Mode and Median?
Mean: The mean is the average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of numbers in the set.
Mode: The mode is the most frequently occurring number in a set of numbers.
Median: The median is the middle value in a set of numbers when the set is sorted in ascending or descending order.
a) Mode: The mode of the list is 7, as it is the number that occurs most frequently (3 times).
b) Median: To find the median, the list must first be sorted in ascending order:
1, 2, 3, 4, 5, 7, 7, 7, 8, 8
The median of the list is 7.
c) Mean: The mean is found by adding up all the numbers in the list and dividing by the total number of items:
(3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8)/10 = 54/10 = 5.4
d) Range: The range is the difference between the largest and smallest numbers in the list:
8 - 1 = 7
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I need some help! Giving brainliest
Answer:
Choice B: distance from home to library is length of HL
HL = 75 see calculations below
Step-by-step explanation:
use points (0,0) and (2.1, 7.2) to find HL:
HL = √(2.1 - 0)² + (7.2 - 0)² = √4.4 + 51.8 = √56.25 = 7.5
Match each scenario involving projectile motion with the equation that describes the height of the object at time t. Tiles h = -4.9t2 + 5 h = -4.9t2 + 1.5 h = -16t2 + 73t + 1.5 h = -16t2 + 5 h = -16t2 + 73t + 5 h = -4.9t2 + 73t + 1.5 Pairs Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. A watermelon falls from a height of 5 feet to splatter on the ground below. Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. Greg drops a life raft off the side of a boat 1.5 meters above the water.
Answer:
h = -16t^2 + 73t + 5h = -16t^2 + 5h = -4.9t^2 + 73t + 1.5h = -4.9t^2 + 1.5Step-by-step explanation:
The general equation we use for ballistic motion is ...
\(h(t)=\frac{1}{2}gt^2+v_0t+h_0\)
where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.
The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.
_____
Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)
A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)
Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)
Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)
_____
Additional comment on these scenarios
The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for vertical motion, so we must assume the launches are straight up (or that the up-directed component of motion is 73 units/second).
A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are possible?
The number of possible groups or combination of three men can be formed from 10 is 120.
According to the given question.
Total number of men in a company, n = 10.
Number of men to be selected, r = 3
As we know that, What is a combination in math?
Image result for what is combination
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Therefore, the number of possible groups or combination of three men can be formed from 10
= \(^{10} C_{3}\)
= 10!/ 3!7!
= 10(9)(8)/3(2)
= 5 × 3 × 8
= 120
The number of possible groups or combination of three men can be formed from 10 is 120.
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Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/
Will give Brainiest!!
A local boys club sold 156 bags of mulch and made a total of $303. It sold two types of mulch: hardwood for $2.50 a bag and pine bark for $1.75 a bag. How many bags of each kind of mulch did it sell?
Please help! Need today!
The teacher gave a true and false quiz where P(true) = 0.7 for each question. Interpret the likelihood that the first question will be true.
Likely.
Unlikely.
Equally likely and unlikely.
This value is not possible to represent probability of a chance event.
The likelihood that the first question will be true is (a) likely
Interpreting the likelihood that the first question will be true.From the question, we have the following parameters that can be used in our computation:
The teacher gave a true and false quiz where P(true) = 0.7 for each question.
This means that
P(true) = 0.7
As a percentage,, we have
P(true) = 70%
When the probability of an event is greater than 70%, then the event is likely
Hence, the liikelihood is (a) likely
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which normal density has the largest variance? [ choose ] which normal density has the smallest variance? [ choose ] which normal density has a mean of 3? [ choose ] which normal density has a mean of 5? [ choose ] which normal density has a mean of 4? [ choose ]
The standard normal distribution has the largest variance.
What is the normal density with the largest variance?The variance of a normal distribution determines the spread or dispersion of the data.
A larger variance indicates a wider spread of values around the mean. The standard normal distribution is a specific case of the normal distribution with a mean of 0 and a variance of 1. Since the variance is fixed at 1 for the standard normal distribution, it has the largest variance compared to any other normal density with different variances.
The variance of a normal distribution measures how much the data values deviate from the mean.
It is calculated as the average of the squared differences between each data point and the mean. A higher variance implies a greater dispersion of values, indicating a wider range of possible outcomes.
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The radius of a sphere is 5.5 inches. What is the surface area of the sphere? Express the answer in terms of Piin.Squared. Recall the formula S A = 4 pi r squared. 22 44 88 121
Answer:
121
Step-by-step explanation:
EDG 21
Answer:
121
Step-by-step explanation:
the world series in baseball continues until either the american league team or the national league team wins four games. how many different orders are possible (e.g., annaaa means the american league team wins in 6 games) if the series goes four games?
There are 7 different orders possible if the series goes four games.
How to find orders if the series goes four games?If the series goes exactly four games, then one team must win at least three of those games in order to win the series.
Without loss of generality, let's assume that the American League (AL) team wins the series in four games.
There are several possible ways that this could happen:
AL team wins the first 4 games (AAAA)AL team wins the first 3 games, then the National League (NL) team wins the fourth game (AAAN)AL team wins the first 2 games, then NL team wins the third game, and AL team wins the fourth game (AANAA)AL team wins the first 2 games, then NL team wins the third and fourth games (AANNN)AL team wins the first game, then NL team wins the second game, and AL team wins the third and fourth games (ANAAA)AL team wins the first game, then NL team wins the second and third games, and AL team wins the fourth game (ANANAA)AL team wins the first game, then NL team wins the second, third, and fourth games (ANANNN)Therefore, there are 7 different orders possible if the series goes four games.
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x - (2x + 1) = 8 - (3x + 2)
Answer:
x=7/2
Step-by-step explanation:
Answer:
x=7/2
Step-by-step explanation:
x-(2x+1)=8-(3x+2)
x-2x-1=8-3x-2
-x-1=6-3x
+x on both sides
-1=6-2x
-6 on both sides
-7=-2x
7=2x
÷2 on both sides
7/2=x
Hope this helps =]
consider a qubit to be in the state . what is the state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1?
The state of the qubit after the spin projection along the x-axis in graph measurement outcome is found to be 1 is |1⟩.
The original state of the qubit is given as |ψ⟩ = a|0⟩ + b|1⟩.
After a spin projection along the x-axis measurement, if the outcome is 1, then the state of the qubit after the measurement is |1⟩. This can be expressed as |1⟩ = a|0⟩ + b|1⟩.
Therefore, the state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.
The state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.
The state of the qubit before the spin projection along the x-axis measurement was given as |ψ⟩ = a|0⟩ + b|1⟩, where a and b are complex numbers such that |a|2 + |b|2 = 1. After the spin projection along the x-axis measurement, if the outcome was 1, then the state of the qubit after the measurement is |1⟩ = a|0⟩ + b|1⟩, which is the state of the qubit after the spin projection along the x-axis graph measurement outcome is found to be 1.
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Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.
What is the direct proportional relationship?In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.
The following are the proportional relationships for the distances:
Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.For a total distance of 32 miles, the distances walked and run are given:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.
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13 FUNDRAISER The Cougar Pep Squad wants to sell T-shirts in the bookstore for
the spring dance. The cost in dollars to order T-shirts in their school colors is
represented by the equation C = 2t + 3.
a. Make a table of values that represents this relationship.
b. Rewrite the equation in function notation.
c. Graph the function.
d. Describe the relationship between the number of T-shirts and the cost.
Answer:
See attached worksheet.
Step-by-step explanation:
See attached worksheet for the table and graph.
I assume that "functation notation: simply means using x and y:
y = 2x + 3
The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:
y is the total cost,
x is the number of t-shirts,
the 2 is the cost for 1 t-shirt ($/t-shirt), and
3 is a one=time charge of $3 for each order.
The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee. It is linear since the cost of a t-shirt remains the same egardless of order size.
20-(-3) for algebra to find the difference
Hey there!
ANSWER: \(-60\)EXPLANATION:\(20-(-3)\)
\(Subtract:\\20-(-3)\\=-60(ANSWER)\)
Hope this helps!
\(-TestedHyperr\)
Please answer quick i really need help
Answer:
( - 36, 24 )
Step-by-step explanation:
(- 9, 6)
( - 9×4, 6×4)
( - 36, 24 )
Jim is buying some clothes at Kohls. He buys a jacket that costs $75 and 5 pairs of shorts that each cost the same amount. He spends a total of $175 on the shorts and jacket. Write and solve an equation to find the cost of each pair of shorts.
The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20
How to write and solve an equation?Cost of jackets= $75
Number of shorts= 5
Cost of each short = x
Total amount Jim spent= $175
Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)
175 = 75 + 5x
subtract 75 from both sides
175 - 75 = 5x
100 = 5x
divide both sides by 5
x = 100/5
x = $20
Ultimately, each pair of shorts cost $20
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Find the GCF:
95, 145
Answer: 5
Step-by-step explanation:
Find the prime factorization of both these numbers:
95 = 5 * 19
145 = 5 * 29
The largest common factor is 5
Solve the following
equations for r:
9r - 66 = 116 - 4r
Answer:
r = 14
Step-by-step explanation:
9r - 66 = 116 - 4r
+4r +4r
13r - 66 = 116
+66 +66
13r = 182
divide both sides by 13
r = 14
Hope this helps!!!
The volume of a cone-shaped funnel is 236 cubic centimeters. The radius of the funnel is 5 centimeters Find the height of the funnet Round
your answer to the nearest whole number
The height is about
centimeters
Answer:
9 cm
Step-by-step explanation:
V = 1/3 pi r^2 h
V = 1/3 * 3.14 * 5^2 * h
236 = 1/3 * 3.14 * 25 * h
236 = 26.1667 h
236 / 26.1667 = h
9.019 = h
Rounded to the nearest whole number the h is about 9 cm.
1. Simplify the following ratios: 1.1 30:45 1.4 350:400 1.7 600 g: 4 kg 1.2 1.5 1.8 65:91 12 cm: 1m 21:750 ml 1.3 1.6 120:132:144- 3 km: 50 m
The simplified ratios are shown below:
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
We have ratios
1. 30: 45
= 30/45
= 2 /3
2. 350 : 400
= 350/400
= 7/8
3. 600g : 4 Kg
= 600 / 4000
= 6/ 40
= 3/20
4. 65:91
= 5 / 7
5. 12 cm : 1 m
= 12 / 100
= 3 /25
6. 3 Km: 50 m
= 3000 / 50
= 60
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an independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. they collected information on the percentage of the bill left as a tip for 2525 randomly selected bills. the average tip was 13.1.1% of the bill with a standard deviation of 2.6%2.6%. assume that the tips are approximately normally distributed. construct an interval to estimate the true average tip (as a percent of the bill) with 90% confidence. round the endpoints to two decimal places, if necessary.
90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.
What is a standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. When the standard deviation is low, the data are concentrated around the mean, and when it is large, the data are widely dispersed.Sample mean (T) = 13.11%
Sample standard deviation (s) = 2.6
Sample size (h) = 25
significance level = α = 1 -0.90 = 0.1
Degrees of freedom for t- distribution (df) = 24
Critical value = ta/2
df = \(t_{0.1}\), df=24 = ±2.80
The margin of error (E) =\(t_\frac{a}{2} , df\frac{s}{\sqrt{h} }\)
E=2.8X \(\frac{2.6}{\sqrt{25} }\) =1.456
Limits of 90%. Confidence Interval is.
Lowest limit = X' - E = 13.11-1.456 = 11.65
Upper limit= X' + E = 13.11+1.456 = 14.566
90% confidence interval is 11.65 <µ< 114.566 as per standard deviation data.
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in the _____ theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.
The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.
According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.
Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.
The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.
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a ramp 19 ft long rises to a platform that is 17 ft off the ground. Find x, the angle of elevation of the ramp
Someone please help I don’t know if my answer is correct ;-;
Answer:
I think you are
Step-by-step explanation:
The graph of the function has slope of 1 and y-intercept of -6.
Answer:
= -5
Step-by-step explanation:
1-6=5
1-6
{Subtract the numbers:} 1-6=-5
= -5
Angle Type:
54°
Х
(10x + 16)
Answer:
Step-by-step explanation:
The two angles must have a sum of 90 deg, so:
54 + 10x + 16 = 90
70 + 2x = 90
2x + 20
x = 10
and obviously these are complementary angles.
The value of x in the given figure is 2
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
The sum of two angles is 90 degrees
We have to find the value of x
Add both the angles and equate them to 90
54+10x+16=90
70+10x=90
Subtract 70 from both sides
10x=20
Divide both sides by 10
x=2
Hence, the value of x in the given figure is 2
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EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
h(x)=x•2+1 k(x)=x-2
(H+k)(2)
Is it a true or false? If yes, the answer is false
If u have to solve the answer will be hx=x.2+kx=x-hk2