The probability of the value of (0.21) distribution using the normal distribution table is: 0.3166
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
In the question, we have
Probability of (0.21 < z <1.28)
= P(z < 1.28) - P(z < 0.21)
Probability of value for z
= 1.28 using z table is 0.8997
=> P(z < 1.28)
= 0.8997
probability of value for z = 0.21
Now, find the value of the probability using the normal distribution table:
using the z table of 0.21; we get:
The value of z is: 0.5832
=> P(z < 0.21) = 0.5832;
The value of Probability of (0.21 < z <1.28)
= Probability of (z < 1.28) - Probability of (z < 0.21)
= 0.8997 - 0.5832
= 0.3165
~ 0.3166
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CORRECT ANSWER WILL BE MARKED BRAINLIEST! plz help with question!
Find the constant rate of change for the representation.
The following table displays the price for a package of plums at various stores in a city. The package price is based on the number of plums in each bag.
# of Plums in Package 41, 25, 17, 9.
Price of Package ($) 15.58, 9.50, 6.46, 3.42.
Answer:
The rate is about 19 $
Step-by-step explanation:
Answer:
0.38 dollars per plum
a grocery store would like to determine whether there is a difference in the shelf life of two different brands of doughnuts. a random sample of 40 boxes of each brand was selected and the shelf life in days was determined for each box. a 95% confidence interval for , the difference in mean shelf life between brand a and brand b, was found to be . based on this confidence interval, what, if any, conclusions can we draw?
If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero, then there is no significant difference in the shelf life of the two brands of doughnuts. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero, then there is a significant difference in the shelf life of the two brands.
Based on the question, a grocery store wants to determine whether there is a difference in the shelf life of two different brands of doughnuts.
They took a random sample of 40 boxes of each brand and determined the shelf life in days. A 95% confidence interval for the difference in mean shelf life between Brand A and Brand B was found.
Unfortunately, you didn't provide the actual values of the confidence interval. However, I can still explain how to interpret it.
1. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B includes zero (e.g., -2 to 3 days), then there is no significant difference in the shelf life of the two brands of doughnuts. This means that at a 95% confidence level, we cannot conclude that one brand has a longer or shorter shelf life than the other.
2. If the 95% confidence interval for the difference in mean shelf life between Brand A and Brand B does not include zero (e.g., 1 to 4 days), then there is a significant difference in the shelf life of the two brands. This means that at a 95% confidence level, we can conclude that one brand has a longer or shorter shelf life than the other, depending on the sign of the interval (positive or negative).
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please help, x/25 > 5 solve for x
Answer:
x>125
Step-by-step explanation:
Answer:
x>125
Step-by-step explanation:
I need to find the values of X
Answer:
\((f + g)( \times ) = { \times }^{4} \)
Complete the statement with equal to, greater than, or less than.
2 x 2/9 will be __________ 2
observe that for every value of that satisfies , the value of is constant. what does this tell you about the behavior of the graph of on this interval?
The graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
If the value of is constant for every value that satisfies a certain condition, it means that the graph is a horizontal line on that interval. The behavior of the graph is constant or unchanging in terms of its vertical position.
When every value of x that satisfies a given condition results in a constant value of y, this tells us that the behavior of the graph of the function on this interval is horizontal. In other words, the graph remains at a constant height (y-value) for all x-values within the specified interval. This means that the function does not change in this interval and maintains a consistent output.
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(a) Derive the class equation of a finite group G.
(b) Prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique.
a) The center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.
b) We have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.
(a) Deriving the class equation of a finite group G involves partitioning the group into conjugacy classes. Conjugacy classes are sets of elements in the group that are related by conjugation, where two elements a and b are conjugate if there exists an element g in G such that b = gag^(-1).
To derive the class equation, we start by considering the group G and its conjugacy classes. Let [a] denote the conjugacy class containing the element a. The class equation is given by:
|G| = |Z(G)| + ∑ |[a]|
where |G| is the order of the group G, |Z(G)| is the order of the center of G (the set of elements that commute with all other elements in G), and the summation is taken over all distinct conjugacy classes [a].
The center of a group, Z(G), is the set of elements that commute with all other elements in G. It can be written as:
Z(G) = {z in G | gz = zg for all g in G}
The order of Z(G), denoted |Z(G)|, is the number of elements in the center of G.
The conjugacy classes [a] can be determined by finding representatives from each class. A representative of a conjugacy class is an element that cannot be written as a conjugate of any other element in the class. The number of distinct conjugacy classes is equal to the number of distinct representatives.
By finding the center of G and determining the distinct conjugacy classes, we can calculate the class equation of the finite group G.
(b) To prove that a Sylow p-subgroup of a finite group G is normal if and only if it is unique, we need to show two implications: if it is normal, then it is unique, and if it is unique, then it is normal.
If a Sylow p-subgroup is normal, then it is unique:
Assume that P is a normal Sylow p-subgroup of G. Let Q be another Sylow p-subgroup of G. Since P is normal, P is a subgroup of the normalizer of P in G, denoted N_G(P). Since Q is also a Sylow p-subgroup, Q is a subgroup of the normalizer of Q in G, denoted N_G(Q). Since the normalizer is a subgroup of G, we have P ⊆ N_G(P) ⊆ G and Q ⊆ N_G(Q) ⊆ G. Since P and Q are both Sylow p-subgroups, they have the same order, which implies |P| = |Q|. However, since P and Q are subgroups of G with the same order and P is normal, P = N_G(P) = Q. Hence, if a Sylow p-subgroup is normal, it is unique.
If a Sylow p-subgroup is unique, then it is normal:
Assume that P is a unique Sylow p-subgroup of G. Let Q be any Sylow p-subgroup of G. Since P is unique, P = Q. Therefore, P is equal to any Sylow p-subgroup of G, including Q. Hence, P is normal.
Therefore, we have shown both implications: if a Sylow p-subgroup is normal, then it is unique, and if it is unique, then it is normal.
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Random variable X is approximately normally distributed with mean 30 and standard deviation 6, and random variable Y is approximately normally distributed with mean 41 and standard deviation 8. If X and Y are independent, which of the following best described the distribution X-Y? Approximately normal with mean -11 and standard deviation 10 Approximately normal with mean -11 and standard deviation 14 Approximately normal with mean 11 and standard deviation 2 Approximately normal with mean 11 and standard deviation 10 Approximately normal with mean 11 and standard deviation 14
The distribution X-Y is approximately normal, with a mean of -11 and a standard deviation of 10. When the two variables X and Y are independent and normal, the variance of the sum of the variables is the sum of their variances.
In other words, if X and Y are normal, then their sum or difference is also normal. In this case, X is approximately normally distributed, with a mean of 30 and a standard deviation of 6.
Y is also approximately normally distributed, with a mean of 41 and a standard deviation of 8. Therefore, X-Y is the sum of the two normal distributions, which is approximately normal, with a mean equal to the difference of the means of the two distributions (41 - 30 = 11) and a standard deviation equal to the square root of the sum of the squares of their standard deviations (sqrt(62 + 82) = 10).Therefore, the distribution X-Y is approximately normal with a mean of 11 and a standard deviation of 10. Thus, the option that describes the distribution of X-Y is approximately normal, with a mean of -11 and a standard deviation of 10.To learn more about “standard deviation ” refer to the https://brainly.com/question/475676
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Solve 196x2 + 25 = 0 by using square roots.
What is the scale factor of the ratio 2:7 ?
Choices:
K=2/7
K=7/2
K=2/9
K=7/9
K=9/2
K=9/7
Answer:
K=2/7
in ratios you are dividing that to that(that:that)
I hope this is good enough:
someone mow 2 lawns the first lawn is 7 feet long and 3 feet width the area of the second lawn is 4 times as big but has the same width as the first. what is the length of the second lawn
The correct value of length of the second lawn is 28 feet.
Let's denote the length of the second lawn as L2.
According to the given information, the first lawn has a length of 7 feet and a width of 3 feet. Therefore, the area of the first lawn is:
Area1 = length1 * width1
Area1 = 7 feet * 3 feet
Area1 = 21 square feet
The second lawn is stated to have an area 4 times as big as the first lawn but with the same width. Therefore, we can set up the following equation:
Area2 = 4 * Area1
Substituting the value of Area1, we have:
Area2 = 4 * 21 square feet
Area2 = 84 square feet
The area of a rectangle is given by the formula:
Area = length * width
Since the width of the second lawn is the same as the first (3 feet), we can rearrange the formula to solve for the length:
length2 = Area2 / width2
length2 = 84 square feet / 3 feet
length2 = 28 feet
Hence, the length of the second lawn is 28 feet.
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plz help me with this prob im clueless
Answer:
Well.... your problem isnt even there lol
A rectangle measures 2 2/5 inches by 4 1/8 inches. What is its area
Answer:
A = 9 9/10 sq inches
Step-by-step explanation:
A = lw
A = 12/5 x 33/8
A = 396/40
A = 9 9/10 sq inches
An angle is formed by
Answer:
When two straight lines or rays intersect at a single endpoint, an angle is created.
Step-by-step explanation:
The cosine of 55 1/2 degrees is approximately 0.566. What angle, in degrees, has a sine of approximately 0.566?
Given:
\(\cos (55\dfrac{1}{2})^\circ\approx 0.566\)
To find:
The angle, in degrees, that has a sine of approximately 0.566.
Solution:
We know that,
\(\sin(90^\circ-x)=\cos x\)
We have,
\(\cos (55\dfrac{1}{2})^\circ\approx 0.566\)
Using the above trigonometric identity, it can be written as:
\(\sin (90-55\dfrac{1}{2})^\circ\approx 0.566\)
\(\sin (90-\dfrac{110+1}{2})^\circ\approx 0.566\)
\(\sin (90-\dfrac{111}{2})^\circ\approx 0.566\)
Taking LCM, we get
\(\sin (\dfrac{180-111}{2})^\circ\approx 0.566\)
\(\sin (\dfrac{69}{2})^\circ\approx 0.566\)
\(\sin (34\dfrac{1}{2})^\circ\approx 0.566\)
Therefore, the angle \(34\dfrac{1}{2}\) degrees has a sine of approximately 0.566.
Consider the initial value problem:
y'=2y^2, y(0)=y0
For what value(s) of y0 will the solution have a vertical asymptote at t=3 and a t-interval of existence:
-infinity
The solution to the initial value problem y'=2y^2, y(0)=y0 will have a vertical asymptote at t=3 and a t-interval of existence\((-∞, 3)\) for y0 = -1/6.
To find the solution of the initial value problem\(y'=2y^2, y(0)=y0\), we can use separation of variables and integrate both sides to get:
\(∫1/y^2 dy = ∫2 dt\)
This simplifies to:
\(-y^-1 = 2t + C\)
Where C is the constant of integration. Solving for y, we get:
y = -1/(2t + C)
To find the value(s) of y0 that will result in a vertical asymptote at t=3, we need to set C=6. This is because the denominator of y becomes 0 when 2t + C = 0, or when t = -C/2. Therefore, we want t=3 to be equal to -C/2, or C=-6.
Substituting C=-6 into our expression for y, we get:
y = -1/(2t - 6)
This function has a vertical asymptote at t=3, since the denominator becomes 0 when 2t - 6 = 0, or when t=3.
To find the interval of existence of this solution, we need to check when the denominator of y becomes 0 again. This happens when 2t - 6 = 0, or when t=3. Therefore, the interval of existence of the solution is (-∞, 3) or t < 3.
In summary, the solution to the initial value problem \(y'=2y^2, y(0)=y0\) will have a vertical asymptote at t=3 and a t-interval of existence \((-∞, 3)\) for y0 = -1/6.
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PLEASE ANSWER!!! i need help asap
Which statement correctly describes the diagram? Help it’s 8th grade 3x ams and I really need help ASAP , I already failed twice and this is my LAST attempt
Answer:
A
Step-by-step explanation:
the first part is definetly triangle b is a reflection of triangle a across the x axis i can't see the bottom part of the last answer but I'm pretty sure A would be correct because triangle c may be a rotation but it's most likely not a reflection of triangle a
Based on the results of the American Management Association/ePolicy Institute Survey on electronic monitoring and surveillance, companies reported that they had dismissed ______of workers for misusing the Internet. 9% 30% 48% 73%
Based on the results of the American Management Association/ePolicy Institute Survey on electronic monitoring and surveillance, companies reported that they had dismissed 30% of workers for misusing the Internet.
What percentage of workers were dismissed for misusing the Internet, according to the American Management Association/ePolicy Institute Survey?The survey conducted by the American Management Association/ePolicy Institute found that among the companies surveyed, 30% reported that they had dismissed employees for Internet misuse. This suggests that companies are taking Internet security seriously and are willing to take action against employees who violate company policies related to Internet use. It also highlights the importance of having clear policies in place to guide employees on appropriate Internet use to avoid potential security risks and the negative consequences that can result from misuse.
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Please help me i need help
Answer:
sin is .6, Cos is .8 and tan is .75
Step-by-step explanation:
Ez
An object is sighted from a helicopter at an angle of
depression of 58°. After the helicopter has traveled 7.0
km, the angle of depression to the same side of the object.
is 64°. Determine the distance at that point from the
helicopter to the object.
(THIS IS TRIG)
The distance at that point from the helicopter to the object is 7km
How to determine the valueTo determine the value, we need to know the different trigonometric identities.
These identities are listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that the;
The angle at the point of the object is expressed as;
180 - (64 + 58)
add the values, we have;
180 - (122)
Now, subtract the values, we get;
58 degrees
Since, the angle measure is equal , then, we have that;
The distance = 7km
Hence, the distance is 7km
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Choose the best description of a joint probability.
The panels in a joint probability table include the kind of probabilities, with the exception of the cells on the table's margins, which carry marginal probabilities instead of joint probabilities.
The likelihood that two separate occurrences will occur simultaneously is referred to as a joint probability when there are two or more random variables. A joint probability is the likelihood that event Y will occur at the same time as event X. It is a statistical metric that determines the likelihood of two occurrences occurring simultaneously and at the same moment in time. When two or more random variables are represented as a joint probability distribution in a table, the link between the variables is demonstrated (it uses variables or conditions instead of events). The probabilities included in the cells of the joint probability table are joint probabilities, but the probabilities on the margins are marginal probabilities.
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Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13. Find P(A).
The required probability is 0.325 or 32.5%.
Event A and B are independent. Suppose P(B) = 0.4 and P(A and B) = 0.13.
Given: P(B) = 0.4P(A and B) = 0.13
Formula used: We know that when two events A and B are independent, then P(A and B) = P(A) × P(B)
Hence, the formula for finding P(A) can be given by:P(A) = P(A and B) / P(B)
Now, let's put the given values in the formula:P(A) = 0.13 / 0.4P(A) = 0.325
So, the probability of event A is 0.325 or 32.5% (approx).
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a new pyramid has been found in south america. the pyramid has a rectangular base that measures by 180 yd, and has a height of 90 yd. the pyramid is not hollow like the egyptian pyramids and is composed of layer after layer of cut stone. the stone weighs 456 lb per cubic yard. how many pounds does the pyramid weigh?
Answer:
443,232,000 lb
Step-by-step explanation:
You want the weight in pounds of a pyramid 180 yd square and 90 yd high made of material weighing 456 lb/cubic yard.
VolumeThe volume of the pyramid is given by the formula ...
V = 1/3s²h . . . . . . . . where s is the side length and h is the height
V = 1/3(180 yd)²(90 yd) = 972000 yd³
WeightAt a weight of 456 pounds per cubic yard, the weight of the pyramid is estimated to be ...
(456 lb/yd³)×(972,000 yd³) = 443,232,000 lb
The pyramid weighs about 443,232,000 pounds.
__
Additional comment
At 456 lb per cubic yard, the stone is less dense than most wood and will float high in water.
my friend consumed 8 donuts in one sitting. 8 donuts is .... (a) a lower bound on how many donuts he is physically capable of eating in one sitting. (b) an upper bound on how many donuts he is physically capable of eating in one sitting. (c) the exact number of donuts that he is physically capable of eating in one sitting. (d) none of the other answers is correct.
My friend consumed 8 donuts in one sitting. 8 donuts is a lower bound on how many donuts he is physically capable of eating in one sitting option A.
An element of K that is bigger than or equal to each member of S is referred to as an upper limit or majorant of a subset S of some preordered set (K, ) in mathematics, notably in order theory. In addition, each element of K that is smaller than or equal to each element of S is characterised as a lower limit or minorant of S.
A set that has an upper (or lower) bound is referred to as being majorized (or minorized), bounded from above, or minorized by that bound. In the mathematical literature, sets that have upper (or lower, respectively) limits are referred to as being bounded above (or below).
Friend consumed 8 doughnuts. So it is
lower bound on how can eat in a sitting.
Many donuts he lower bound is the lowest quantity in a set, as in our.
example, we definitely know he can eat 8 of them. We don't know how many more can be eat (upper bound) or is it exact amount be can eat.
Hence option (a) is correct.
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Graph the solution to this inequality on the number line.
−3m+4>16 help please !!
The solution to the system of inequality is m < -4
InequalitiesGiven the inequality expression
-3m + 4 > 16
Subtract 4 from both sides
-3m + 4 - 4 > 16 - 4
-3m > 12
Divide both sides by -3
-3m/-3 < 12/-3
m < -4
The number line graph is as shown:
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Answer: m < -4
Step-by-step explanation: I took the test, look at the attached image for proof <3.
7, 10, 13, 23, 36, 55, 67
Pt A
Which of these puts the correct classification of the numbers as prime or composite
prime: 10,13, 36, 67
composite: 7, 23, 55
prime: 7, 15, 35, 67
composite: 10, 36, 23
prime: 10, 36, 55
composite: 7, 13, 23, 67
prime: 3, 13, 23, 67
composite: 10, 36, 55
Pt B
Which of these are composite numbers?
11 & 12
28 & 29
31 & 32
44 & 45
I need answers for both part A & B please!!
The correct classification of the given numbers as prime or composite is: prime: 13, 23, 67. Composite: 7, 10, 36, 55
A prime number is a number that is divisible only by 1 and itself. On the other hand, a composite number is a number that has factors other than 1 and itself. To classify the given numbers as prime or composite, we need to check if they have any factors other than 1 and themselves. Starting with the primes, 13, 23, and 67 are all prime numbers since they are not divisible by any other numbers except for 1 and themselves.
Starting with the first pair, 11 and 12, we find that 11 is a prime number and 12 is composite since it can be divided by 2, 3, 4, and 6. Moving on to the second pair, 28 and 29, we find that 28 is composite since it can be divided by 2, 4, 7, and 14, while 29 is prime. For the third pair, 31 and 32, we find that 31 is prime and 32 is composite since it can be divided by 2, 4, 8, and 16. Finally, for the fourth pair, 44 and 45, we find that both numbers are composite since they can be divided by several numbers other than 1 and themselves. Therefore, the composite numbers are:
28 & 29
31 & 32
44 & 45
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I need help anyone with graphs
The given function shows imply that the graph g(x) is shifted two units right and three units up.
Option B is correct.
What is the transformation of a function?The transformation of a function occurs in a fancy way such that a function maps itself. f: x → x.
From the given information:
Let's take a look at the function f(x) that goes through 0 just when x = 0. Now we want to move it to the right by 2. It implies that it has to go through 0 when x = +2.
Now, we have to add 2 to x, then the function becomes f'(x) = f(x-2) will be shifted by 2 units to the right.
Similarly, the same scenario occurs when shifting up. Again imagine your function passes 0 when x = 0. We have to add 3. Now, the function f’’(x) = f(x) + 3 will be shifted by 3 units up.
Combining the two transformations, we have:
g(x) = f(x-2) + 3Therefore, we can conclude that the function implies that the graph g(x) is shifted two units right and three units up.
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What is an equation of the line that passes through the points
(
0
,
−
4
)
(0,−4) and
(
−
4
,
6
)
(−4,6)?
Answer:
\(y=-\frac{5}{2}x-4\)
Step-by-step explanation:
\(slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}\)
\(y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4\)
Identify at least two pairs of congruent angles in the figure and explain how youknow they are congruent.b.What is the measure of angle CBE? Explain how you knowName a triangle congruent to triangle CBE. Explain how you know.
A)
FCE and CAB are congruent angles they are formed by the same line FA and two parallel lines between them
FEC and EDB are congruent angles for the same reason
B)we will write the measure of each angle based on the statement
The line AD contains the angles ABC,CBE and EBD if we sum all angles we make the line and the measure of a line is 180 degrees so
\(\begin{gathered} \text{ABC}+\text{CBE}+\text{EBD}=180 \\ 63+\text{CBE}+45=180 \\ \text{CBE}=180-63-45 \\ \text{CBE}=72 \end{gathered}\)the CBE is 72°
C)
congruent triangles are those that have all their angles equal,Since all the triangles are copies of triangle ABC, they are all congruent since they all measure the same but are located in different ways
so a triangle congruent to triangle CBE can be any for example :ABC,BED or FCE