Explanation:
Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 is closest to:
B 0.123
In a normal distribution with mean \muμ and standard deviation \sigmaσ , the z-score of a measure X is given by:
Z = \frac{X - \mu}{\sigma}Z=σX−μ
It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
The mean is of 80, hence \mu = 80μ=80 .
The standard deviation is of 7, hence \sigma = 7σ=7 .
The minimum value is the 80th percentile, which means that it is X_mXm when Z has a p-value of 0.8.
The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 is P(X_m < X < 90)P(Xm<X<90) , which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.
Z = \frac{X - \mu}{\sigma}Z=σX−μ
Z = \frac{90 - 80}{7}Z=790−80
Z = 1.43Z=1.43
Z = 1.43Z=1.43 has a p-value of 0.9236.
0.9236 - 0.8 = 0.1236, hence closest to 0.123, option B.
Using the normal distribution, it is found that the probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90 is closest to:
Letter B
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}\\Z=\sigma X - \mu[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. In this problem:
The mean is of 80, hence [tex]\mu = 80[/tex]. The standard deviation is of 7, hence [tex]\sigma = 7[/tex]. The minimum value is the 80th percentile, which means that it is [tex]X_m[/tex] when Z has a p-value of 0.8.The probability that the volunteer selected will receive a certificate of merit given that the number of hours the volunteer worked is less than 90, which is the p-value of Z when X = 90 subtracted by the p-value of Z when X = X_mX=Xm , hence the p-value of Z when X = 90 subtracted by 0.8.
[tex]Z = \frac{X - \mu}{\sigma}\\Z=\sigma X - \mu\\Z = \frac{90 - 80}{7}\\Z=790 - 80\\Z = 1.43Z=1.43[/tex]
Has a p-value of 0.9236.
[tex]0.9236 - 0.8 = 0.1236[/tex]
Hence closest to 0.123.
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Look at the graph. A graph titled Yearly Average, Dow Jones Industrial Average. The x axis shows the years 1919 to 1929. The y axis shows the yearly average closing price, from 0 to 350. In 1919, it was at 100 and stayed relatively stable until 1925, when it began to rise dramatically, from 125 in 1925 to over 300 in 1929. During what years did consumerism cause the stock market to grow most? 1920–1921 1921–1924 1922–1925 1924–1929.
Answer It's D (1924 - 1929)
hope this helps :)
Explanation: edge 2023
Points b c and d lie on a straight line.
Answer:
Explanation:
continuation?
Which of the following will be the ratio of the perimeter of the blue triangle to the red triangle.
The ratio (red to blue) of the perimeters of the similar triangles is 12:7
Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.
Perimeter of a triangle = s1 + s2 + s3
For the red triangle;
Perimeter of the red triangle = 12 + 12 + 12
Perimeter of the red triangle = 36
For the blue triangle:
Perimeter of the blue triangle = 7 + 7 + 7
Perimeter of the blue triangle = 21
Taking the ratio of their perimeters;
Ratio of red to blue = 36:21 = 12:7
Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7
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During the revolutionary war, how did the british convince slaves to run away from their owners and help the british war effort?.
Answer:
offered freedom
Explanation:
took the test
Which group of people was one o fthe first to spread hte idea of worshipping only one god?.
Answer:
The first people to express the idea that there is only one God were the Jews, and then later on Christians (because Jesus Christ brought Christianity.)
Explanation:
I hope this helps! :D
What is the vertex form of the equation? y = – x 2 + 12 x – 4.
Answer:
(6,32)
Explanation:
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4. 31.
The amount of his initial investment is $8361
The complete question says:
Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
The initial investment is the amount required to start a particular project, and the amount of the initial investment can be calculated by using the compound interest formula:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
where;
A = amountP = Principalr = interest rate n = number of months∴
[tex]\mathbf{12855.94 = P(1 + \dfrac{0.0431}{12})^{12 \times 10}}[/tex]
[tex]\mathbf{12855.94 = P(1 +0.003591666667)^{120}}[/tex]
[tex]\mathbf{12855.94 = P(1.53760)}[/tex]
[tex]\mathbf{P= \dfrac{12855.94}{(1.53760)} }[/tex]
P = $8361.043
P ≅ $8361
Therefore, we can conclude that the amount of the initial investment is $8361
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A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:.
Answer:
A certain wire stretches 0. 90 cm when outward forces with magnitude f are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
Explanation:
Which of the following gases in the atmosphere is not considered a main contributor to the greenhouse effect?.
What is a polynomial function in standard form with zeros 1 –1 2 and 4.
The polynomial function obtained from the Zeros given, written in standard form is x⁴ - 6x³ + 7x² + 6x - 8
Hope it helps!
Answer:
x⁴ - 6x³ + 7x² + 6x - 8
Explanation:
Write the linear factor for each zero.
[tex]g(x) = (x - 1) (x + 1) (x - 2) (x - 4)[/tex]
Multiply the first two, then the second two.
[tex]g(x) = (x^{2} + x - x -1) = (x^{2} - 1) then (x^{2} - 4x - 2x + 8)[/tex]
Use the Distributive Property.
[tex](x^{2} - 1) (x^{2} - 6x + 8) = (x^{4} - 6x^3 + 8x^{2} - x^{2} + 6x - 8)[/tex]
Simplify.
[tex]x^{4} - 6x^{3} + 7x^{2} + 6x - 8[/tex]
Which comparison between events in the passage would best support a claim that a significant theme of the passage is fulfillment?.
The comparison that illustrates the theme is Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
The theme of a story simply means the central idea that's conveyed in a story. It illustrates what the author wants the readers to know in the story.
The comparison between events in the passage support a claim that a significant theme of the passage is fulfillment. This was illustrated as Theodora's isolation from her family and her reading of the publisher's response regarding her manuscript.
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Identify the outlier for the given data: 23, 34, 27, 7, 30, 26, 28, 31, 34.
Answer:
The outlier is 7.
Explanation:
Hope this helps you!
An archer fish spies a meal of a grasshopper slader.
Answer:
sitting on a long slader of grass at the edge of the pond in which he is swimming.
Explanation:
sitting on a long stalk of grass at the edge of the pond in which he is swimming. If the fish is to bite him
do you think the earth is round or flat
Answer:
cube
Explanation:
Which list of symbols represents nonmetals, only?.
Answer:
100 points branly salamat
As a result of mitosis, each of the two new cells produced from the parent cell during cytokinesis.
Answer and Explanation: As a result of mitosis, each of the two new cells produced from the original cell during cytokinesis have the same chromosomal constitution as the parental nucleus. Cytokinesis is the actual division of the cytoplasm that results in two daughter cells that are diploid. Mitosis is a type of division that occurs during growth in somatic cells through replication of chromosomes and their subsequent redistribution.
A student runs 120 meters in 10 seconds. What is their speed?.
Answer:
12
Explanation:
speed=distance÷time
Which one of the following reactions would produce the largest amount of heat per mole of hydrogen?.
Answer:
your answer link in photo
What is the potential energy of a rock that weighs 5 kg and sits on top of a 10- meter high hill?.
Answer:
490 Joule
Explanation:
Solution:
Given,
Mass (m) = 5 kgAcceleration due to gravity= 9.8 m/sHeight (h)= 10 mHere,
Potential Energy (P.E.)= mgh
=5×9.8×10
= 490 Joule
Earth is slightly closer to the sun in december than it is in june. The force of gravity of the sun on earth in december compared to june is —.
The Earth is known as a spherical body. The force of gravity of the Sun on Earth in June compared to December is slightly smaller.
Earth is simply known to slightly closer to the Sun on one side of its orbit than on the other side.Kepler's second law states that as a planet moves round the Sun, it sweeps out equal areas in equal times.
All the planets do moves around the Sun in nearly the same plane. The Sun is found to be slightly off-center from the middle of each planet's orbit.
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How did she get from the stage to the balcony crossword.
Answer:
she used stairs
Explanation:
It should be noted that the word that fits the scenario is stairs.
A crossword clue simply means a hint that is given to a player of a crossword puzzle where the person has to find the missing pieces of the game.
The question is simply about how she got from the stage to the balcony crossword. Therefore, the correct option will be stairs which is six letters.
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Do you think counselors are trustworthy.
Answer:
Yes.
Explanation:
I feel like they are because of the simple fact they cannot share your information, or anything you have said, with anyone because of confidentiality. The only way they can share anything is if you are going to hurt yourself or others, or if you give them verbal or written permission to do so.
Samson opened a bank account with 1. 25% simple interest. The total amount of interest samson will earn after 20 years is $812. 50. How much did samson deposit when he opened the account?.
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $6750 with a population standard deviation of $265. A sample of randomly selected 30 days reveals a daily mean revenue of $6280. If you were to test the null hypothesis that the daily mean revenue was $6750, which test would you use?.
Based on the given value of sample size and the population standard deviation, the required test for the null hypothesis is the Z test of population mean.
The Z test of population is used to test the null hypothesis of a Normal distribution. Since, the sample size is large (>30) and the variance of the population is known, the most appropriate test of hypothesis to use is the Z test of population mean.Learn more : https://brainly.com/question/25576166
What does the author’s first use of the key term illusion suggest about American foreign policy? The United States causes many problems. The United States could not remain separate. The promotion of democracy is a false policy. It is unsafe for one country to have too much power.
Answer: United States could not remain separate.
Explanation: cause i be smart
The author’s first use of the key term illusion suggest about American foreign policy is The United States could not remain separate.
The 'illusion of isolation' means that America tried to pretend to be an isolationist continent, meaning that it would have nothing to do with the politics of other countries, however, that turned out to be a lie, especially when it openly entered WWII.
What are the three main goals of American foreign policy?Security, prosperity, and the creation of a better world are the three most prominent goals of American foreign policy.
Security, the protection of America's interests and citizens, is a perennial concern, but America has tried to achieve security in different ways throughout its long history.
What are the 4 main goals of America's foreign policy?The four main objectives of U.S. foreign policy are the protection of the United States and its citizens and allies, the assurance of continuing access to international resources and markets, the preservation of a balance of power in the world, and the protection of human rights and democracy.
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#SPJ2
Which statement about how mass media have changed over time is most accurate.
Answer:
statement 2
Explanation:
2 mass media changed over time is most accurate.
Determine the minimum mass of hydrogen gas required to produce 226 kj of heat.
By definition, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
The reaction is as follows:
2 H₂(g) + O₂(g) → 2 H₂O(g) ΔH = - 483.5 kJ
In this reaction, you can see that 2 moles of H₂ produces 483.5 kJ of heat. But you want to release 226 kJ of heat.
So you can apply the following rule of three: if 483.5 kJ is released by 2 moles of H₂, 226 kJ of heat is released by when moles of H₂?
[tex]amount of moles of H_{2} =\frac{226 kJx2 moles }{483.5 kJ}[/tex]
amount of moles of H₂= 0.93485 moles
Molar mass is the amount of mass that a substance contains in one mole. In this case, the molar mass of H₂ is 2 [tex]\frac{g}{mole}[/tex].
So, the mass containing 0.93485 moles is calculated as:
0.93485 moles× 2 [tex]\frac{g}{mole}[/tex]= 1.8697 grams
Finally, the minimum mass of hydrogen gas required to produce 226 kJ of heat is 1.8697 grams.
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ok done. thank to me :>
Given three consecutive integers, if the sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer. Find the three consecutive integers. *
Answer:
The three consecutive integers are 12, 13 & 14
Explanation:
Let the three consecutive integers be x, x + 1, x + 2
According to the question,
If sum of the first and third integers is increased by 8, the result is 5 less than triple the second integer.
[tex] \therefore [/tex] x + x + 2 + 8 = (x + 1) × 3 - 5
2x + 10 = 3x + 3 - 5
2x + 10 = 3x - 2
10 + 2 = 3x - 2x
x = 12
So, The three consecutive integers are 12, 13 & 14
Which of the following best describes the uses of private land?.
Private property is a legal designation for the ownership of property by non-governmental legal entities.Private property is distinguishable from public property, which is owned by a state entity, and from collective or cooperative property, which is owned by a group of non-governmental entities. The distinction between private and personal property varies depending on political philosophy, with socialist perspectives making a hard distinction between the two,while others blend the two together.[better source needed] As a legal concept, private property is defined and enforced by a country's political system.