Determine whether the given procedure results in a binomial distribution. If it is not? binomial, identify the requirements that are not satisfied.
Surveying 20 teenagers and recording if they have ever committed a crime.
A. No, because there are more than two possible outcomes and the trials are not independent.
B. No, because there are more than two possible outcomes.
C. Yes, because all 4 requirements are satisfied.
D. No, because the probability of success does not remain the same in all trials
The correct answer is A. No, because there are more than two possible outcomes, and the trials are not independent.
What is binomial?The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
Given by the question.
To have a binomial distribution, four requirements must be satisfied:
There are a fixed number of trials.
Each trial has only two possible outcomes, success or failure
The trials are independent.
The probability of success remains the same for all trials.
In the given procedure, there are more than two possible outcomes, as a teenager could have committed a crime or not, but also committed different types of crimes. Additionally, the trials are not independent, as the behavior of one teenager may influence the behavior of another teenager. Therefore, the given procedure does not result in a binomial distribution.
To learn more about independent visit:
https://brainly.com/question/11886257
#SPJ1
The volume of the shaded portion of the cylinder help??????????????
Answer:
56.52mm²
Step-by-step explanation:
Based on observation, sum of diameters of small circles = diameter of the big circle.
In question, diameter of big circle = 12 mm.
And radius of big circle = 12mm/2 = 6mm
Let the diameter of each small circle be '2a'. So, radius of each small = 2a/2 = a.
=> 2a + 2a = 12mm
=> 4a = 12mm
=> a = 3mm
=> radius of each small circle = 3mm
Area of big circle = πr²
= (3.14)(6mm)²
= 113.04 mm²
Area covered by 2 small circles is: 2 * area of 1 one circle.
=> 2 * π(3mm)² = 18π mm²
=> 56.52 mm²
Shaded area = total area - area of 2 circles = 113.04 - 56.52 mm² = 56.52 mm²
the cookies in a jar contain a total of 1000 chocolate chips. all but one of these cookies contains the same number of chips; it contains one more chip than the others. the number of cookies in the jar is between one dozen and three dozen. what is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip?
The total number of chocolate chips in the cookies is 1000. All the cookies, except one, have the same number of chips, while the remaining cookie has one more chip than the others. The number of cookies in the jar is between one dozen (12 cookies) and three dozen (36 cookies).
To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we can follow these steps:
1. Let's assume the number of cookies in the jar is "x". Since the number of cookies is between one dozen and three dozen, we have the inequality: 12 ≤ x ≤ 36.
2. Since all the cookies, except one, have the same number of chips, we can divide the total number of chocolate chips by the number of cookies minus one. This gives us the number of chips in each cookie (excluding the one with the extra chip). So, the number of chips in each cookie is 1000 ÷ (x - 1).
3. The cookie with the extra chip has one more chip than the others. Therefore, the number of chips in the cookie with the extra chip is 1000 ÷ (x - 1) + 1.
4. To find the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip, we add the number of cookies (x) and the number of chips in the extra chip cookie (1000 ÷ (x - 1) + 1).
Remember that the number of cookies in the jar is between one dozen and three dozen, so the sum will vary depending on the number of cookies. You can substitute different values within the given range (12 ≤ x ≤ 36) to find different possible sums.
Learn more about cookies here :-
https://brainly.com/question/31686305
#SPJ11
When buying advertiing time on televiion or in magazine, advertier calculate the cot per thouand (CPM) people reached by the ad. If the cot of advertiing wa $100,000 and the reach or circulation wa 10,000,000 people, what would be the CPM? (Note: M i the Roman numeral for 1,000. )
If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.
Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.
The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.
Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:
CPM = ($100,000 / 10,000,000) × 1000 = $10.
So, the CPM is $10.
To know more about Cost per thousand, here
https://brainly.com/question/6448600
#SPJ4
A climber starts descending from 506 feet above sea level and keeps going until she reaches 70 feet below sea level. How many feet did she descend?
Answer:
she descended 436 feet
Step-by-step explanation:pls mark brainliest i really want to move up a ranking
A triangle with an area of 60 square inches has a height that is 16 less than 6 times its base.
Find the base and height, in inches, of the triangle
Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
when a population is growing logistically, at what stage is the change in population size (n) over the change in time (t), i.e. dn/dt, the greatest? a. when n is very small b. when n is just a little smaller than k c. when k/2 is equal to n
When a population is growing logistically the change in population size (dn/dt) is greatest is given by option c. when k/2 is equal to n.
Population size = n
Time = t
Change in population size over time = dn/dt
Option a,
This occurs because when the population is small .
There are fewer individuals to reproduce and contribute to the population growth.
Option b,
As the population approaches the carrying capacity the growth rate slows down.
Because of environmental limitations on resources, space, and other factors.
At the carrying capacity, the population growth rate is zero, and the population remains stable.
The fastest population growth rate occurs when the population size is at an intermediate level.
Around half of the carrying capacity.
When the population size n is approximately half of the carrying capacity k of the environment.
learn more about population here
brainly.com/question/31328563
#SPJ4
let z(g) denote the center of a group g. then g/z(g) is an abelian group
Let G be a group and let Z(G) denote its center. Let xZ(G) and yZ(G) be elements of G/Z(G). Now consider the product \((xZ(G))(yZ(G)) = xyZ(G).\)
We need to prove that the product is the same if we switch the order of the elements, i.e., if we take\((yZ(G))(xZ(G)) = yxZ(G)\).Note that \(xyZ(G) = yxZ(G)\) if and only if xy-1 is in Z(G), by definition of the quotient group G/Z(G).Now consider the conjugate of xy-1 by an arbitrary element a in G: \(a(xy-1)a-1 = axa-1ay-1\). Note that xy-1 is in Z(G) if and only if \(axa-1ay-1 = xy-1,\) or equivalently, \(ax = xa\) for all x in G.
Therefore, xy-1 is in Z(G) if and only if a belongs to the centralizer of x in G. In other words,\(xyZ(G) = yxZ(G)\) if and only if the centralizer of x in G is equal to the centralizer of y in G. This means that the set of elements xZ(G) in G/Z(G) that commute with all other elements in G/Z(G) is precisely the set of cosets of elements whose centralizers are equal to the center Z(G) itself.
To know more about elements visit:
https://brainly.com/question/31950312
#SPJ11
Write a compound interest function to model the following situation. Then, find the balance after the
given number of years.
$13,700 invested at a rate of 2% compounded quarterly; 6 years
Answer:
The balance after the 6 years of investment will be $ 15,442.08.
Step-by-step explanation:
Given that $ 13,700 was invested at a rate of 2% compounded quarterly during 6 years, to determine the final result of the investment, the following calculation must be performed:
13,700 x (1 + 0.02 / 4) ^ 4x6 = X
13,700 x (1 + 0.005) ^ 24 = X
13,700 x 1,005 ^ 24 = X
13,700 x 1.1271 = X
15,442.08 = X
Therefore, the balance after the 6 years of investment will be $ 15,442.08.
Sydney i cutting the crut from the edge of her andwich. The dimenion, in centimeter, of the andwich i hown. A rectangle labeled andwich. The right ide i labeled 2 x quared 9. The bottom ide i labeled 2 x quared 8. Which expreion repreent the total perimeter of her andwich, and if x=1. 2, what i the approximate length of the crut?
Repone
4x217; 21. 8 centimeter
4 x quared plu 17 ; 21 point 8 centimeter
8x234; 43. 6 centimeter
8 x quared plu 34 ; 43 point 6 centimeter
8x234; 45. 52 centimeter
8 x quared plu 34 ; 45 point 5 2 centimeter
4x217; 22. 76 centimeter
The total perimeter will be 4x^+17 and length be 22.76 cm
As per the data given in the questions,
We have, the shape of the sandwich be rectangular.
We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),
where, l = length of the rectangle
and, b = breadth of the rectangle
The expression for the perimeter of the sandwich would be:
2 (2x^2 + 9) + 2 (2x^2 + 8)
= 4x^2 + 26
Now for finding the length of the crust,
we will put the value of x=1.2,
So, the value of the approximate length of the crust would be:
=4x^2 + 26
= 4 * 1.2^2 + 26
= 22.76 centimetres.
For more questions on Perimeter of rectangle
https://brainly.com/question/19819849
#SPJ4
what is the reciprocal of 12/17?
Answer:
17/12
Step-by-step explanation:
the probability of winning the grand prize at a particular carnival game is 0.005. michele wins the grand prize. is this considered a rare or common event? why?
1) The event is considered as rare.
2) It is called a rare event event because the probability is less than 5% and is well below threshold.
Let's discuss it further below.1) The probability of winning the grand prize is 0.005, which means there is a 0.5% chance of winning the prize.
Since this probability is low, Michele winning the grand prize is considered a rare event.
The term "rare event" is often used to describe an event with a low probability of occurrence.
A rare event typically has a probability of less than 5%, and in this case, the probability is well below that threshold. A probability of less than 0.05 is generally considered a rare event.
The fact that Michele won the grand prize means that she defied the odds, which makes the event rare.
Learn more about probability.
brainly.com/question/30034780
#SPJ11
degree of monomial 2a^6b^3
Answer:
6th degree monomial
Step-by-step explanation:
The highest exponent is 6. Therefore, the monomial is a 6th degree monomial.
Hope this helps!
Please mark as brainliest if correct!
Have a great day!
A company of 250 cars found that the emissions systems of 7 out of 22 they tested failed to meet pollution control guidelines.Is this evidence that more than 20% of the fleet might be out of compliance
Yes, this is evidence that more than 20% of the fleet might be out of compliance with pollution control guidelines, since the probability of observing 7 or more cars failing to meet the guidelines is less than the significance level of 0.05.
To determine if this is evidence that more than 20% of the fleet might be out of compliance, we can use a hypothesis test.
Let's assume that the null hypothesis is that 20% or fewer cars in the fleet are out of compliance with pollution control guidelines. The alternative hypothesis would be that more than 20% of the cars are out of compliance.
We can use a one-tailed hypothesis test with a significance level of 0.05.
Under the null hypothesis, we can use a binomial distribution with p = 0.20 to calculate the probability of observing 7 or more cars out of 22 failing to meet the pollution control guidelines:
P(X >= 7) = 1 - P(X <= 6)
Where X is the number of cars out of 22 that fail to meet the pollution control guidelines.
Using a binomial distribution calculator, we find:
P(X >= 7) = 0.0168
Since this probability is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence that more than 20% of the fleet might be out of compliance with pollution control guidelines. However, we should note that this conclusion is based on a single sample and further testing would be needed to confirm this result.
Learn more about binomial distribution
https://brainly.com/question/31197941
#SPJ4
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the data from the 5th hour to the 8th hour? Be sure to include the correct units of measurement.
a scatter plot with x axis labeled Hour and y axis labeled Money Earned in Dollars per Hour with points at 1 comma 54 and 2 comma 58 and 3 comma 64 and 4 comma 78 and 5 comma 96 and 6 comma 126 and 7 comma 99 and 8 comma 75
7 hours
−7 dollars per hour per hour
21 dollars
−21 dollars per hour per hour
The requried average rate of change is given as -7 dollars per hour. Option D is correct.
What is a scatter plot?The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.
here,
The average rate of change for the data from the 5th hour to the 8th hour is given as,
m = (y₂ - y₁) / (x₂ - x₁)
m = 75 - 96 / 8 - 5
m = -21/3
m = -7 dollars per hour.
Thus, the requried average rate of change is given as -7 dollars per hour. Option D is correct.
Learn more about scatter plots here:
https://brainly.com/question/13984412
#SPJ1
PPLEASE HELP FOR 10 POINTS!!!!!
Write an equation to represent the verbal description.
In a computer game, Nikolai started with x points. After losing 50 points, Nikolai then tripled his score for a total of y points.
Answer:
\(y=3(x-50)\)
Hope This Helps! :)Please Give Brainliest if this is correct!
(Which I am pretty confident in...)
Wayne answered 58 out of 65 questions on a test correct. What was the
percentage he answered incorrectly?
Answer:
your percentage correctly would be 89 rounded and if you subtract it from 100 you will get 11 rounded
Step-by-step explanation:
-Ready
2
Kate is lining up logs across a pool for a boom run. The logs are meter long. The distance across
the pool is 5 meters. She wants to know how many logs she needs.
Which model represents the length of a log in meters?
O
Divide Fractions: Fractional Quotients-Instruction-Level F
0
2
2
3
5
5
6
in
X
The answer of the given question based on the model that represents the length of a log in meters is the unit bar model and Kate will need 5 logs.
What is Unit Bar Model?A unit bar model is a visual representation that uses bars to help solve mathematical problems. The bars in the model represent a single unit or a specified quantity. The model can be used to represent whole numbers, fractions, and decimals.
Unit bar models are often used in elementary school math to help students understand the relationship between different quantities and how they can be combined or divided. They can also be used to solve more complex math problems, like ratio and proportion problems, or problems involving percentages.
The model that represents the length of a log in meters is the unit bar model, shown below:
[1 meter][1 meter][1 meter][1 meter][1 meter]
Each bar represents one meter, which is the length of a log. By counting the number of bars needed to span the 5 meter distance across the pool, we can determine the number of logs needed.
Since there are 5 meters across the pool and each log is 1 meter long, Kate will need 5 logs.
To know more about Ratio and Proportion visit:
https://brainly.com/question/14023900
#SPJ1
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
a. Write a formula for the perimeter of the indoor track
P=
b. Solve the formula for x.
x=
c. The perimeter of the track is 660 feet, and r is 50 feet. Find x. Round to the nearest foot.
x=____feet
Answer:
(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)
Ok, we have a rectangle of length x by r.
At the extremes of length r, we add two semicircles.
So the perimeter will be equal to:
Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).
The radius of the semicircles is r, and the perimeter of a circle is:
C = 2*pi*r
where pi = 3.14
Then the perimeter of the track is:
P = 2*x + 2*pi*r.
b) now we want to solve this for x, this means isolating x in one side of the equation.
P - 2*pi*r = 2*x
P/2 - pi*r = x.
c) now we have:
P = 660ft
r = 50ft
then we can replace the values and find x.
x = 660ft/2 - 3.14*50ft = 173ft
Topology question. Answer only subpart a. Need Asap.
3. Let (X, Jx) and (Y, Ty) be topological spaces defined as follows: X = {D, O, R, K} Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X} Y = {M, A, T, H} Jy = {0, {M}, {M, A}, {M, A, T}, Y} (a) Let E= {0, K
Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.
To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.
In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.
In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.
In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.
Learn more about topological spaces here:
https://brainly.com/question/32645200
#SPJ11
what is the midsegment of a triangle? the triangle midsegment is a segment joining the of two sides of a trinagle. what is the triangle midsegment theorem? if a segment joins the of two sides of a triangle, then the segment is to the third side and as long.
The triangle midsegment is a very important concept in geometry, and the triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and has a length equal to half of the length of the third side
The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side of the triangle and has a length that is equal to half of the length of the third side.
In this explanation, we will define the midsegment of a triangle and explain the triangle midsegment theorem in more detail.
To begin, let's consider a triangle ABC with midpoints D and E on sides AB and AC respectively. The segment DE is the midsegment of triangle ABC.
According to the triangle midsegment theorem, the length of DE is equal to half the length of the third side of the triangle, BC. Mathematically, this can be represented as follows:
DE = BC/2
In addition to the length, the midsegment of a triangle is also parallel to the third side. This means that if we extend the midsegment, it will eventually intersect the third side of the triangle.
The triangle midsegment theorem states that the midsegment of a triangle is parallel to the third side and also has the same length as half of the third side.
To know more about triangle here.
https://brainly.com/question/8587906
#SPJ4
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
To more on Progression:
https://brainly.com/question/30442577
#SPJ8
Please help me out!!
Megan charges %5.00 for each hour, (h), she babysits. Last week, the total amount she earned by babysitting was $65.00.
Which equation could be used to find the number of hours Megan babysat last week?
A) $5.00+h=$65.00
B) 5h=$65.00
C) $65.00-h=$5.00
D) $65.00×$5.00=h
Answer:
B
Step-by-step explanation:
To find how many hours she worked you must divide $65 by $5 and B is the only equation where you can do that.
a pharmaceutical company conducts an experiment in which a subject takes mg of a substance orally. the researchers measure how many it takes for of the substance to exit the bloodstream. what kind of variable is the company studying? Choose the correct type of variable belowa. Categorical variable b. Quantitative variable
The pharmaceutical company is studying a quantitative variable.
Therefore the answer is (b) a Quantitative variable.
A quantitative variable is a type of variable that measures an amount or a numerical value. A quantitative variable is a type of variable that measures an amount or a numerical value. Quantitative variables can be either discrete or continuous. Discrete quantitative variables have a finite or countable number of possible values, such as the number of children in a family. Continuous quantitative variables have an infinite number of possible values within a certain range, such as the height of a person.
Quantitative variables are often used in statistical analysis to describe and understand data. They can be summarized using measures of central tendency, such as the mean, median, and mode, and measures of variability, such as the range, variance, and standard deviation. These measures provide important information about the distribution of the data and can be used to make inferences about the underlying population.
In this experiment, the company is measuring the amount (mg) of the substance taken orally and the amount (mg) of the substance exiting the bloodstream. These measurements are numerical values and are therefore considered quantitative variables.
To know more on quantitative variable
https://brainly.com/question/14583272
#SPJ4
answer ,, true or false ?
Answer:
true
Step-by-step explanation:
Three spheres each with charge Q uniformly distributed through its volume Rank the spheres according to the magnitude of the electric field they produced at point P (greatest firstl P (1) (2) (3) Select one: a. 3 > 2 > 1 b. all tie c. 1>2>3 d. 1 and 2 tie > 3 e. 2 > 3 >1
The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.
Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.
Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:
Sphere 1 produces the greatest electric field at point P since it is the closest to it.
Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.
Sphere 3 produces the smallest electric field at point P since it is the farthest from it.
To learn more about probability click on,
https://brainly.com/question/11994012
#SPJ4
Which is an x-intercept of the continuous function in the
table?
O (0, -6)
O (3,0)
O.(-6,0)
O (0, 3)
Based on the information provided, the x-intercepts of the continuous function in the table are x = 3 and x = -6. B, C.
To determine the x-intercept of a continuous function from the given table, we need to identify the point where the graph of the function intersects the x-axis.
This occurs when the corresponding y-value is zero.
Looking at the options provided:
(0, -6): The y-value is -6, which is not zero.
This point does not represent an x-intercept.
(3, 0): The y-value is zero, which indicates that the graph intersects the x-axis at x = 3.
Thus, this point represents an x-intercept.
(-6, 0): Similarly, the y-value is zero, suggesting that the graph intersects the x-axis at x = -6.
This point is also an x-intercept.
(0, 3): The y-value is 3, which is not zero.
Hence, this point does not correspond to an x-intercept.
For similar questions on x-intercepts
https://brainly.com/question/28845725
#SPJ8
a telephone service representative believes that the proportion of customers completely satisfied with their local telephone service is different between the south and the northeast. the representative's belief is based on the results of a survey. the survey included a random sample of 700 southern residents and 580 northeastern residents. 49% of the southern residents and 42% of the northeastern residents reported that they were completely satisfied with their local telephone service. find the 80% confidence interval for the difference in two proportions. step 1 of 3 : find the critical value that should be used in constructing the confidence interval.
The critical value for an 80% confidence interval is 1.28.
To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.
Step 1: Find the critical value.
Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.
Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.
Therefore, the critical value for an 80% confidence interval is 1.28.
learn more about "critical value ":- https://brainly.com/question/14040224
#SPJ11
The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?
Answer:
54461.33 cubic feet
Step-by-step explanation:
Given data
Height of cylinder= 40 feet
Radius= 20feet
Height of cone= 10 feet
Radius of cone= 20feet
Volume of Cylinder= πr^2h
Volume of Cylinder= 3.142*20^2*40
Volume of Cylinder= 3.142*400*40
Volume of Cylinder= 50272 cubic feet
Volume of Cone= 1/3πr^2h
Volume of Cylinder= 1/3*3.142*20^2*10
Volume of Cylinder= 1/3*3.142*400*10
Volume of Cylinder= 1/3*12568
Volume of Cylinder=4189.33 cubic feet
Hence, the volume of the silo = volume of cylinder+ volume of cone
Volume of silo= 50272+4189.33
Volume of silo=54461.33 cubic feet