Answer:
V = 115.5 cubic yards
Step-by-step explanation:
V (cone) = 1/3πr²h
just substitute given values to get:
r = 7/2 or 3.5
h = 9
V = π(3.5²)(9)/3
V = 115.5 cubic yards
PLEASE HELP
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Answer:
1 1/3 or 4/3
Step-by-step explanation:
7 10/12 - 6 6/12 = 1 4/12
simplify.
1 1/3
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.
P(A1)=0.10P(A2)=0.08P(A3)=0.05P(A1∪A2)=0.12P(A1∪A3)=0.12P(A2∪A3)=0.11P(A1∩A2∩A3)=0.01 (a) Given that the system has a type 1 defect, what is the probability that it has a type 2 defect? (Round your answer to four decimal places.) (b) Given that the system has a type 1 defect, what is the probability that it has all three types of defects? (Round your answer to four ecimal places.)
Since probabilities are always between 0 and 1. There is no solution.
(a) Let A1, A2 and A3 denote the events that the system has type 1, type 2, and type 3 defects, respectively.
From the given probabilities we have
P(A1) = 0.10
P(A2) = 0.08
P(A3) = 0.05
P(A1 ∪ A2) = 0.12
P(A1 ∪ A3) = 0.12
P(A2 ∪ A3) = 0.11
P(A1 ∩ A2 ∩ A3) = 0.01
(a) Given that the system has a type 1 defect, we want to find P(A2 | A1), the conditional probability that the system has a type 2 defect given that it has a type 1 defect.
By definition, P(A2 | A1) = P(A1 ∩ A2) / P(A1)
Using the given probabilities, P(A1 ∩ A2) = P(A1 ∪ A2) - P(A1) - P(A2 ∪ A3) + P(A1 ∩ A3) + P(A2 ∩ A3) - P(A1 ∩ A2 ∩ A3)
= 0.12 - 0.10 - 0.08 + 0.12 + 0.01 - 0.00
= 0.07
Hence, P(A2 | A1) = P(A1 ∩ A2) / P(A1)
= 0.07 / 0.10
= 0.7000 (rounded to four decimal places)
(b) Given that the system has a type 1 defect, we want to find P(A1 ∩ A2 ∩ A3), the probability that it has all three types of defects.
By the inclusion-exclusion principle,
P(A1 ∩ A2 ∩ A3) = P(A1) + P(A2) + P(A3) - P(A1 ∪ A2) - P(A1 ∪ A3) - P(A2 ∪ A3) + P(A1 ∪ A2 ∪ A3)
= 0.10 + 0.08 + 0.05 - 0.12 - 0.12 - 0.11 + 0.01
= -0.02
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state whether the data described below are discrete or continuous, and explain why. the number of televisions in differenet households
The data described, the number of televisions in different households, is discrete.
discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.
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What is the x -value of the solution to this system of equations?
x = 2 y − 4
7 x + 5y = −66
Answer:
It’s either a or b on edge
Step-by-step explanation:
Simply 8t + 6r - 3t + 2r
Answer: 8r+5t
Step-by-step explanation:
8t + 6r - 3t + 2r
8t-3t= 5t
6r+2r=8r
= 8r+5t
Answer:
The answer would be 8r + 5t
Find the measure of angle a
The primary role of a control in an experiment is to prove that a hypothesis is correct and ensure repeatability. False True Question 5 2 pts Which of the following conservation pioneers made the following statement: A Who's Who of pesticides is therefore of concern to us all. If we are going to live so intimately with these chemicals eating and drinking them, taking them into the very marrow of our bones - we had better know something about their nature and their power. Teddy Roosevelt John Muir Aldo Leopold Rachel Carson Gifford Pinchot Question 6 2 pts All types/forms of thinking are extremely important, but which category of thinking is above all others? critical creative analytical reflective logical
The primary role of a control in an experiment is not to prove that a hypothesis is correct but rather to provide a baseline for comparison and ensure the validity and reliability of the experimental results. The statement attributed to Rachel Carson is about the concern regarding pesticides. Among the given categories of thinking (critical, creative, analytical, reflective, logical), there is no single category that is above all others. Each category has its own significance and contributes to different aspects of thinking.
The primary role of a control in an experiment is to provide a standard or baseline against which the experimental group is compared. It helps researchers assess the effect of the independent variable by isolating it from other potential variables. The purpose is not to prove the hypothesis correct but rather to ensure that any observed changes or effects can be attributed to the independent variable and not to other factors.
The statement about pesticides eating and drinking chemicals is attributed to Rachel Carson, who was an influential environmentalist and author known for her book "Silent Spring" which highlighted the harmful effects of pesticides on the environment and human health.
Regarding the categories of thinking, critical, creative, analytical, reflective, and logical thinking are all important and serve different purposes. Critical thinking involves evaluating and analyzing information, creative thinking involves generating new ideas, analytical thinking involves breaking down complex problems, reflective thinking involves introspection and learning from past experiences, and logical thinking involves reasoning and making logical connections. Each category of thinking has its own value and is applicable in different contexts, and there is no single category that can be considered above all others as they are all important in their own right.
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adam, benin, chiang, deshawn, esther, and fiona have internet accounts. some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. each of them has the same number of internet friends. in how many different ways can this happen?
(a) Therefore, the range of possible values for "x" is 1 to 5. (b) Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31. Therefore, there are 31 different ways this can happen
To find the number of different ways this can happen, we can consider the number of internet friends each person can have. Since each person has the same number of internet friends, let's denote that number as "x". We can then create equations based on the given information:
1. Some, but not all, of them are internet friends with each other: This means that at least two people are internet friends with each other, but not everyone is friends with each other. This implies that the minimum number of internet friends any person can have is 1, and the maximum number is 5 (since there are 6 people in total).
Therefore, the range of possible values for "x" is 1 to 5.
2. None of them has an internet friend outside this group: This means that each person's internet friends must be within this group of 6 people. So, the number of internet friends each person can have is limited to the remaining 5 people.
To find the number of different ways this can happen, we need to sum up the possible values of "x" and calculate the corresponding combinations. For "x = 1", we choose 1 person out of 5 remaining people, giving us C(5, 1) = 5. For "x = 2", we choose 2 people out of 5 remaining people, giving us C(5, 2) = 10.
Similarly, for "x = 3", "x = 4", and "x = 5", we have C(5, 3) = 10, C(5, 4) = 5, and C(5, 5) = 1 respectively. Summing up these values, we get 5 + 10 + 10 + 5 + 1 = 31.
Therefore, there are 31 different ways this can happen
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Problem of the Day
Kendra compares the unit rates for the following four boxesof cereal so she can choose the one that is the best value.
Which box of cereal should she choose?
A. 32 ounces for $3.84
B. 16 ounces for $1.76
C. 18 ounces for $2.52
D. 24 ounces for $1.92
Express 5.5 recurring as mixed number
Answer:
5.5 = 5 5/10 = 5 1/2 (simplified)
Hope this helps in any way :)
we turn over the cards of a well-shuffled standard deck of 52, and we observe the sequence. (a) how many sequences have all cards of the same suit together? (b) how many sequences have all the clubs together?
There are 13! x 4 possible sequences where all cards of the same suit are together, and 13! possible sequences where all the clubs are together.
A standard deck of 52 cards contains 4 suits: spades, hearts, diamonds, and clubs.
(a) To find how many sequences have all cards of the same suit together, we need to find the number of sequences where all the cards of the same suit are together.
There are 4 possible suits, and each suit contains 13 cards.
So, the number of sequences where all the cards of the same suit are together is 13! x 4.
(b) To find how many sequences have all the clubs together, we need to find the number of sequences where all the clubs are together.
There are 13 clubs, and each club card can be placed in any order.
So, the number of sequences where all the clubs are together is 13!
Therefore, there are 13! x 4 possible sequences where all cards of the same suit are together, and 13! possible sequences where all the clubs are together.
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please someone help ? Wish you all happiness
Answer:
225 square meters
Step-by-step explanation:
Here, we want to get the area of the given shape
The area is a trapezoid and the formula for the area of a trapezoid is;
A = 1/2 (a + b)h
where a and b are the parallel sides
a = 11 m and b = 19 m
h is the height and it is = 15 m
so we have the area of the shape as;
A = 1/2(11 + 19)15
A = 1/2(30)(15)
A = 15 * 15
A = 225 square meters
Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expected value of the number of points for one roll? Negative two-thirds Negative one-sixth one-sixth Two-thirds.
We want to get the expected value for the given experiment, we will see that it is equal to -1/6 points, so the correct option is "negative one-sixth"
For an experiment with events {x₁, x₂, ..., xₙ}, each one with probability {p₁, p₂, ..., pₙ}, the expected value is given by:
EV = x₁*p₁ + ... + xₙ*pₙ
Here we have two events:
x₁ = she gets 9 points.x₂ = she loses 2 points.Let's find the probabilities of each one of these.
She gets 9 points if the sum of the two dice is equal to 8 or 12.
Each dice has 6 outcomes.
Then a combination of two dice has a total of 6*6 = 36 outcomes.
The outcomes that add to 8 or 12 are:
dice 1 dice 2 sum
2 6 8
3 5 8
4 4 8
5 6 8
6 2 8
6 6 12
So 6 out of the 36 outcomes, then the probability of this event is:
p₁ = 6/36 = 1/6
And the other event is for all the other outcomes, so the probability is just:
p₂ = 5/6
Then the expected value is:
EV = (+ 9 points)*(1/6) + (-2 points)*(5/6) = -1/6 points.
So the correct option is negative one-sixth.
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Answer:
-1/6
Step-by-step explanation:
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The value of the angle 4 is 96 degrees as shown in the diagram.
Application of line geometryA line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.
From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.
Given the following angles
m<3 = 84 degrees
Since the measure of <3 and <4 lies on the same straight line, hence:
m<3 + m<4 = 180
84 + m<4 = 180
m<4 = 180 - 84
m<4 = 96 degrees
Hence the measure of angle 4 from the figure is 96 degrees
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The net of a right circular cylinder is shown.
net of a cylinder where the radius of each circle is labeled 4 meters and the height of the rectangle is labeled 8 meters
What is the surface area of the cylinder? Use π = 3.14 and round to the nearest whole number.
251 m2
301 m2
502 m2
804 m2
Answer:
The first person to answer was correct, the answer is 301 m squared.
Step-by-step explanation:
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A plane ticket to Barcelona cost £175 the price decreases by 6% work out the new price of the plane ticket
Answer:
£164.50
Step-by-step explanation:
If the discount is 6%, then the discounted price is 94% of the original price.
95% of £175 = 0.94 × £175 = £164.50
What is the area of the polygon given below?
Answer:
C, which is 340!
Step-by-step explanation:
Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)
The area of polygon = 340 square units.
How to estimate the area of the polygon?Area of rectangle = Length \(\times\) \(\tmes\)breadth
Area of rectangle (side A) = 19 \(\times\) 4 = 76
Area of rectangle (Side B) = 24 \(\times\) 14 = 264
To estimate the area of the polygon, add both of the equations then we get
Area of the polygon
= Area of a rectangle (side A) + Area of a rectangle (Side B)
= 76 + 264
Area of the polygon = 340 square units.
Therefore, the correct answer is option C. 340 square units.
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when using a one-way within-groups anova the variablilty due to individual differences is reduced resulting in a
When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.
How to use an ANOVATo minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.
The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.
By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.
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Given that P(x) = ax^2 + bx + 1. P(1) 6
and P(-1) = 2, determine the values of a
and b
Please I Ned help ASAP
Answer:
a=3
b=2
Step-by-step explanation:
P(x) = ax^2 + bx + 1
P(1)= 6
6= a(1)^2 + b(1) +1
6 = a +b+1
6-1 = a+b
5 = a+b
P(-1) = 2
2 = a( -1)^2 + b(-1) +1
2 = a(1) -b +1
2-1 = a-b
1 = a+b
We have 2 equations and 2 unknowns
Add the two equations together
5 = a+b
1 = a-b
----------------
6 = 2a
Divide by 2
6/2 = 2a/2
3 =a
Now find b
5 =a+b
5 =3+b
Subtract 3 from each side
5-3 =3+b-3
2=b
Find the mean of the integers
-3.-8.12.-15.9
The mean is
Please helppp
Answer:
-9
Step-by-step explanation:
-3+-8.12+-15.9=-27.02
-27.02/3=-9.00666..
mean=-9.006(6 repeating) so around 9
Sneha gets a salary of Rs. 36800 while Alisha gets Rs. 24000 more per month. What is the ratio of the salaries of Sneha and Alisha?
Answer:
The ratio of the salaries of Sneha and Alisha is 3:2. Sneha's salary is Rs. 36800, while Alisha's salary is Rs. 60000
Answer:
23 : 38
Step-by-step explanation:
Amount of salary Sneha gets= ₹ 36,800
Amount of salary Alisha gets= ₹ 24,000 more than Sneha's salary per
month
= ₹ 24,000 + ₹ 36,800
= ₹ 60,800
Ratio of salaries of Sneha and Alisha= 36,800 : 60,800
= 23 : 38
∴ ratio of the salaries of Sneha and Alisha is 23 : 38
1. A population of insects is very dynamic, depending on many variables. A simple model for a particular species of insect is found to be as given. 3- 12 +16 PO) 15 - 2+1 What happens to this population in the long run, i.e. will it die out (extinction), boom (grow indefinitely), or settle into an equilibrium (stability)? Justify your claim with the appropriate mathematics. If the result is equilibrium, then give the value of the stable population.
Therefore, the insect population will remain stable, neither increasing nor decreasing and the estimated stable population is 2.
Given the equation:3-12+16 PO) 15-2+1
In order to determine the stability of a population of insects, we must first calculate the equilibrium value of PO.
A population's equilibrium is defined as the point at which the population remains stable over time, indicating that the population is neither declining nor growing indefinitely.
Stable population equilibrium is defined as follows:
Let P* be the equilibrium value of the population.
This implies that:P* = 15 - 2 + 1 / 3 - 12 + 16
This simplifies to:P* = 14/7 or 2
Therefore, the equilibrium value of the insect population is 2. If the population is greater than 2, it will decrease. If it is less than 2, it will increase.
In this case, the population of insects will settle into an equilibrium state.
The value of the stable population is 2.
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What is the value of x?
to
x = [?]°
The value of x is 30°
What is a right triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
A right triangle is a type of triangle that has one of it's angles exactly 90°
There is a circle theorem that states that the angle between a radius of a circle and tangent of a circle is 90°
Therefore the triangle is a right triangle.
so therefore the value of x is calculated as;
x+90+60 = 180
x = 180-150
x = 30°
therefore the value of x is 30°
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scores on a college entrance exam are normally distributed with a mean of 500 and a standard deviation of 80. find the score at the 35th percentile.
The score at 35th percentile is 469.6 marks according to standard deviation and mean.
What is standard deviation?
Standard Deviation could be a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exis
Main body:
Given:
mean of μ = 500 and standard deviation of σ = 80
To answer this, we must find the z-score that is closest to the value 0.35 in the z table. This value turns out to be -0.38:
We can then plug this value into the percentile formula:
Percentile Value = μ + zσ
35th percentile = 500 + (-0.38)*80
35th percentile = 469.6
the score at the 15th percentile weighs about 469.6 marks.
Hence marks at 35th percentile is 469.6
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The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
in a box of 20 candies, there are 8 which contain nuts. if five pieces are randomly selected and consumed what is the probability of selecting 0, 1, 2, 3, 5, 5 candies
The probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304.
The number of candies containing nuts follows a binomial distribution with parameters n = 5 and p = 8/20 = 0.4, where n is the number of trials and p is the probability of success (selecting a candy containing nuts).
To find the probability of selecting 0, 1, 2, 3, 4, or 5 candies containing nuts, we can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the number of candies containing nuts selected, k is the number of successes (candies containing nuts) we want to find the probability of, (n choose k) is the binomial coefficient which represents the number of ways to choose k successes out of n trials.
For k = 0, we have:
P(X = 0) = (5 choose 0) * 0.4^0 * 0.6^5 = 0.07776
For k = 1, we have:
P(X = 1) = (5 choose 1) * 0.4^1 * 0.6^4 = 0.2592
For k = 2, we have:
P(X = 2) = (5 choose 2) * 0.4^2 * 0.6^3 = 0.3456
For k = 3, we have:
P(X = 3) = (5 choose 3) * 0.4^3 * 0.6^2 = 0.2304
For k = 4, we have:
P(X = 4) = (5 choose 4) * 0.4^4 * 0.6^1 = 0.0768
For k = 5, we have:
P(X = 5) = (5 choose 5) * 0.4^5 * 0.6^0 = 0.01024
Therefore, the probability of selecting 0 candies containing nuts is 0.07776, the probability of selecting 1 candy containing nuts is 0.2592, the probability of selecting 2 candies containing nuts is 0.3456, the probability of selecting 3 candies containing nuts is 0.2304, the probability of selecting 4 candies containing nuts is 0.0768, and the probability of selecting 5 candies containing nuts is 0.01024.
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the mean of a group of students in 60 . if their marks 85 ,65,36 ,48 , X ,75 ,39,72 then find the value of x
Answer: 60
Step-by-step explanation:
Find the total number of students.
In this case, there are 8 total students. Multiply 60 * 8 = 480
Add all the numbers up.
85 + 65 + 36 + 48 + 75 + 39 + 72 = 420
480 - 420 = 60
x = 60
does anyone know what lazor wulf is? if so send me a picture
Answer:
I think its like a cartoon or something like that
https://hbomax-images.warnermediacdn.com/images/GXyniGAhmEcJZOgEAAABz/tileburnedin?size=1280x720&format=jpeg&partner=hbomaxcom&productCode=hbomax&host=artist.api.cdn.hbo.com&w=1200
there image I think
I need to find the variable that makes the equation true 5^6/5^m=5^9
Answer:
Below
Step-by-step explanation:
Re- arrange to
5^6 / 5^9 = 5 ^m
5^(6-9) = 5^m
5^-3 = 5^m show s m = -3
Answer:
m = -3
Step-by-step explanation:
The Quotient Rule of Exponents states that when dividing exponents with the same base, we should subtract the exponents.
\(\boxed{\dfrac{a^b}{a^c}=a^{b-c}}\)
Given equation:
\(\dfrac{5^6}{5^m}=5^9\)
Apply the Quotient Rule to the given equation:
\(\implies \dfrac{5^6}{5^m}=5^{6-m}\)
Therefore:
\(\implies 5^{6-m}=5^9\)
To find the value of m, equate the exponents and solve:
\(\implies 6-m=9\)
\(\implies 6=9+m\)
\(\implies 6-9=m\)
\(\implies m=-3\)
Therefore, the value of m that makes the equation true is m = -3.
The radius of a paper plate is 11.7 cm. Find the circumference to the
nearest hundredth. (Use the z button on your calculator as an
approximation for 2..) *
The circumference of the paper plate is approximately 73.39 cm.
The formula for the circumference of a circle is C = 2πr, where C represents the circumference and r represents the radius of the circle. In this case, the radius of the paper plate is given as 11.7 cm.
To calculate the circumference, we can substitute the value of the radius into the formula: C = 2π(11.7). Using the approximation of π as 3.14 (as suggested by the "z" button on the calculator), we can simplify the equation: C ≈ 2(3.14)(11.7).
Evaluating this expression, we find that the circumference is approximately equal to 73.39 cm when rounded to the nearest hundredth.
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