The volume of a conic wrap would be 209.44 cubic inches.
What is the volume of the cone?
The volume of a cone defines the cone's space or capacity. Cones are three-dimensional geometric shapes with a circular base that tapers from a flat base to a point known as the apex or vertex. A cone is made up of a series of line segments, half-lines, or lines that connect a common point, the apex, to all the points on a base in a plane that does not contain the apex.
Volume of the cone = 1/3 ×πr²h
Given data:
Height of the conic wrap(h) = 8 inches.
Diameter of the conic wrap = 10 inches.
So radius(r) = 10/2 = 5 inches.
Now by using the formula for finding out the volume of the conic wrap, we get
V = 1/3 × πr²h
= 1/3 × 3.14 × (5)² × 8
V = 209.44 cubic inches.
Hence, the volume of a conic wrap would be 209.44 cubic inches.
To learn more about the volume of the cone, visit:
https://brainly.com/question/1082469
#SPJ1
The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under; 81.36% are age 20 - 64; 13.61% are age 65 or over. Of the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20 - 64; 13.53% are age 65 or over. (Source: Federal Highway Administration, U.S. Dept. of Transportation)
a. Find P(driver is female)
b. Find P(driver is age 65 or over)
c. Find P(driver is age 65 or over and female)
d. Are the events “being 65 or over” and “female” mutually exclusive? Why or why not?
e. If 10,000 US licensed drivers are randomly selected, how many would you expect to be male?
The probabilities are given as follows:
a) P(driver is female) = 0.486 = 48.6%.
b) P(driver is age 65 or over) = 0.1356 = 13.56%.
c) P(driver is age 65 or over and female) = 0.0661 = 6.61%.
d) The events are not mutually exclusive, as the intersection of the two events is different of zero.
e) The expected number of male drivers would be of 5,140.
How to calculate the probabilities?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
Hence, for a population, the probability of a single person having some characteristic is given by the percentage of people with this characteristic in the population.
The drivers that are 65 or over are composed as follows:
0.1361 x 0.4860 = 0.0661 = 6.61% -> Female.0.1353 x 0.5140 = 0.0695 = 6.95% -> Male.Hence the total percentage is:
6.61 + 6.95 = 13.56%.
For item d, the events “being 65 or over” and “female” are not mutually exclusive, as there are females that are 65 or over.
The expected value of an event over n people is the multiplication of n by the probability, hence:
10000 x 0.514 = 5,140.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
A sweet potato pie with a diameter of 8 inches is cut into 6 equal slices. To
the nearest square inch, what is the area of each slice?
OA. 34 in²
OB. 8 in2
OC. 14 in²
OD. 4 in²
Answer: 8 in²
Step-by-step explanation:
A diameter of a sweet potato pie is 8 inches
Hence a radius of a sweet potato pie is 8/2=4 inches
A=πr²
π=3.14159≈3
r=4 inches
Hence,
A=3(4²)
A=3(4*4)
A=3(16)
A=48 in²
The area of each slice is:
48:6=
8 in²
Simplify the expression to a + bi form:
-√4+√-72+√64-√-98
The expression to a + bi form is [tex]=10-\sqrt{2i}[/tex]
Simply put, what is linear algebra?
The subject of linear algebra is linear combinations. To build new columns and arrays of numbers, arithmetic is used to arrays of numbers called matrices and columns of numbers called vectors. The study of the planes and lines, vector spaces, and mappings needed for linear changes is referred to as algebra.
What is nonlinear equations?
A nonlinear equation is one whose graph is not a straight line and whose greatest power of the variables is not 1.
Step-by-step explanation:
Given:
[tex]-\sqrt{4} + \sqrt{-72}+\sqrt{64}+\sqrt{-98}=2+8-7\sqrt{2i}+6\sqrt{2i}[/tex]
[tex]=10-\sqrt{2i}[/tex]
Learn more about linear algebra
https://brainly.com/question/2030026
#SPJ13
Parallelogram ABCD is shown. A is at negative 5, 1. B is at negative 4, 3. C is at negative 1, 3. D is at negative 2, 1. Parallelogram ABCD is rotated 90° counterclockwise. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)
For the rotation in 90° counter clockwise, the rule that shows input and out of the of the rotation is (−y, x) and the new coordinates are (-1, -5)
Rotation:
Rotation defines the transformation in which the object is rotated about a fixed point.
Given,
Parallelogram ABCD
A is at (-5,1)
B is at (-4,3)
C is at (-1,3)
D is at (-2, 1).
Parallelogram ABCD is rotated 90° counterclockwise.
Now, we have to find the rule shows the input and output of the rotation, and what is the new coordinate of A′.
Here we need to find the rotation of A alone.
So, we have to take the point (-5,1) alone.
The rule, that is used for 90° counterclockwise rotation is states that "When rotating a point 90 degrees counterclockwise about the origin then the point A(x, y) becomes A'(-y, x)."
Based on the this rule, we have written the following as,
=> (-5,1) => (-(1), -5)
=> (-1, -5)
Therefore, the new coordinate of A' is (-1, -5)
To know more about Rotation here.
https://brainly.com/question/1790540
#SPJ1
math geometry help help
Answer:
x = 18
Step-by-step explanation:
ABCD ∼ JKLM
AB = 12 JK = x
AD = 6 JM = 9
6/9 = 12/x
2/3 = 12/x
2/3 = 12/18
2/3 = 2/3
6.2 What is the confidence level of each of the following
confidence intervals for u?
a. z+1.96
b. z+1.645
C.
c. z 2.575
d. z 1.282
e.
2
21.99
15151515
σ
115
n
Answer:
C
Step-by-step explanation:
not enough info by i think its C
From a research paper, it is known that the number of soldiers who died annually by being kicked by a horse followed a Poisson distribution with an average of 0.61 death in an army corps each year.
(a) Find the standard deviation of death in an army corps each year.
(b) Find the probability of exactly 3 deaths in an army corps in a given year.
(c) Find the probability of at most 2 deaths in an army corps over an 8-year period.
As per the concept of Poisson distribution ,
(a) The standard deviation of death in an army corps each year is 0.781
(b) The probability of exactly 3 deaths in an army corps in a given year is 0.069
(c) The probability of at most 2 deaths in an army corps over an 8-year period is 0.3425
Poisson distribution:
Basically, the process of estimating the occurrence of a specified event that happens during a particular period of time is known as Poisson distribution.
Given,
From a research paper, it is known that the number of soldiers who died annually by being kicked by a horse followed a Poisson distribution with an average of 0.61 death in an army corps each year.
Here we need to find the following:
(a) The standard deviation of death in an army corps each year
(b) The probability of exactly 3 deaths in an army corps in a given year
(c) The probability of at most 2 deaths in an army corps over an 8-year period
As per the given question, we have identified the following value,
The Poisson distribution average λ = 0.61
So, the standard deviation of the death
=> σ = √0.61
Therefore, the standard deviation is 0.781.
The probability of exactly 3 deaths in an army corps in a given year is calculated as,
=> P(X = 3) = e⁻⁰°⁶¹ x (0.61³/3!)
=> P(X = 3) = e⁻⁰°⁶¹ x (0.2269/6)
=> P(X = 3) = e⁻⁰°⁶¹ x 0.0378
=> P(X = 3) = 1.8404 x 0.0378
=> P(X = 3) = 0.069
Therefore, the probability of exactly 3 deaths in an army corps in a given year is 0.069
Now, the probability of at most 2 deaths in an army corps over an 8-year period is calculated as,
=> P(X = 2) = e⁻⁰°⁶¹ x (0.61²/2!)
=> P(X = 2) = e⁻⁰°⁶¹ x (0.3721/2)
=> P(X = 2) = e⁻⁰°⁶¹ x 0.1861
=> P(X = 2) = 1.8404 x 0.1861
=> P(X = 2) = 0.3425
Therefore, the probability of at most 2 deaths in an army corps over an 8-year period is 0.3425
To know more about Poisson distribution here.
https://brainly.com/question/17280826
#SPJ1
see picture for question please
Step-by-step explanation:
What are these examples of? -Printer -Mouse -Moniter -Keyboard -Scanner
Wiyot is earning money for a longboard by selling lemonade at the soccer fields. Being a precocious and poorly-supervised 12 year old, Wiyot has no transportation and decides to use water from a nearby river.
Business is booming! He sells 33 lemonades on the first day, and 6 additional lemonades each day as the summer heats up. How many TOTAL cups of giardia-laced lemonade will Wiyot have sold by the time his parents get a call from county health officials on day 8?
Answer: 75 cups of giardia-laced lemonade
Step-by-step explanation:
On the first day he sells 33 lemonades, so we will start with "33 +" for our equation. Then, he sells 6 additional lemonades each day further as the summer heats up. If x is equal to days, the next part will be "6(x-1)" for our equation.
Lastly, we will plug in an 8 for x, number of days, and solve,
33 + 6(x - 1)
33 + 6(8 - 1)
75
75 cups of giardia-laced lemonade
O and R are the subsets of a Universal set, U, such that U={22,23,24,25,26,27,28,29,30} 0={ prime numbers } {R}={ even numbers } a) Draw a Venn diagram to represent this information.
b) List the elements of.
i) ( O U R )'
ii) ( O ∩ R)'
iii) O ∩ R
The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
O and R are the subsets of a Universal set, U, such that
U = {22,23,24,25,26,27,28,29,30}
O = {prime numbers} = {23, 29}
R = {even numbers} = {22, 24, 26, 28, 30}
The elements of (OUR)' will be given as,
(OUR)' = {23, 29}
The elements of (O∩R)' will be given as,
(O∩R)' = {22, 23, 24, 26, 28, 29, 30}
The elements of O∩R will be given as,
O∩R = 0
The elements of (OUR)', (O∩R)', and O∩R will be {23, 29}, {22, 23, 24, 26, 28, 29, 30}, and {null}, respectively.
The Venn diagram is given below.
More about the sets link is given below.
https://brainly.com/question/8053622
#SPJ1
Write the equation of the parabola that has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f(x)=a(x-h)²+k.
f(x)=
The equation of the parabola from the vertex is f(x) = -3(x - 5)² + 9
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 3x²
Also, we have
Vertex = (5, 9)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (5, 9)
Substitute (h, k) = (5, 9) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 5)² + 9
This also means that
f(x) = -3(x - 5)² + 9
The -3 is gotten from f(x) = -3x²
Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9
Read more about parabola at
brainly.com/question/1480401
#SPJ1
l need help to solve this practice question
Confidence interval to estimate the population mean is 81.592< μ <96.408.
Confidence = 95%
Z-value = Z = 1.960
No. of sample = n = 28
Mean = X = $89
Standard deviation = S = 20
Confidence interval = CI = [tex]X+Z*(\frac{S}{\sqrt{N}})[/tex] or [tex]X-Z*(\frac{S}{\sqrt{N}})[/tex]
= [tex]89+1.96(\frac{20}{\sqrt{28}})[/tex] or [tex]89-1.96(\frac{20}{\sqrt{28}})[/tex]
= 89 + 7.408 or 89 - 7.408
= 96.408 or 81.592
Hence, interval is 81.592< μ <96.408.
To learn more about Confidence interval here:
https://brainly.com/question/24131141
#SPJ1
A farmer with 350 meters of fencing wants to enclose a rectangular plot that borders on a river. If the farmer does not fence the side along the river, what is the largest area that can be enclosed? What are the dimensions of the enclosed area?
The width, labeled x in the figure, is ____
(Type an integer or decimal rounded to the nearest tenth as needed.)
The length, labeled 350-2 x in the figure, is ____
(Type an integer or decimal rounded to the nearest tenth as needed.)
The largest area that can be enclosed is _______
(Type an integer or decimal rounded to the nearest tenth as needed.)
The solution to the questions are:
The width, labelled x in the figure is 87.5 metersThe length, labelled 350-2 x in the figure, is 175 metersThe largest area that can be enclosed is 15312.5 square metersHow to determine the width and the length of the rectangle?From the question, we have the following parameters that can be used in our computation:
Length = 350 - 2x
Width = x
The area of a rectangle is the product of its dimensions
So, we have
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
A = (350 - 2x) * x
Evaluate
A = 350x - 2x²
Differentiate and set to 0
350 - 4x = 0
So, we have
4x = 350
Divide by 4
x = 87.5
Recall that
Length = 350 - 2x
So, we have
Length = 350 - 2 x 87.5
Evaluate
Length = 175
The area is then calculated as
Area = Length x Width
So, we have
Area = 175 x 87.5
Evaluate
Area = 15312.5 square meters
Hence, the area is 15312.5 square meters
Read more about rectangles at
brainly.com/question/25292087
#SPJ1
FREE BRAINLIEST IF CORRECT
Multiply and combine like terms to determine the product of these polynomials.
2x2(4x−7xy+5)(3y−2)
Step-by-step explanation:
[tex]4(12xy - 8x - 21xy ^{2} + 14xy + 15y - 10)[/tex]
[tex]4( - 21 {xy}^{2} + 26xy - 8x + 15y - 10)[/tex]
[tex] - 84 {xy}^{2} + 104xy - 32x + 60y - 40[/tex]
Convert 200 pounds to kilograms. (1 pound = 0.454 kilogram) help ASAP
Answer:
90. 718 kg
Step-by-step explanation:
0.454x 200= 90.718
if u round it it's 90.8kg
Answer: 90.8
Step-by-step explanation:
200x0.454=90.8
Since 1 pound is 0.454 kg, you multiply the 200 with the 0.454 because there are 200 pounds!
Please help will mark Brainly
Answer: B and D
Step-by-step explanation:
y-4 = 2/3 (x-1)
y = 2/3 x - 2/3 + 4
y = 2/3 x - (-10)/3
y= 2/3x + 10/3
10/3 = 3 1/3
so the answers are B and D.
helpppppppppppppppppppppppppppppppp
Answer:
10
Step-by-step explanation:
put 20 as the value for x and solve the equation:
(4/5) * 20 -6
= 4*20/5 - 6
= 80/5 - 6
= 16 - 6
= 10
Answer:
[tex]\huge\boxed{\sf f(20)=10}[/tex]
Step-by-step explanation:
Given function:[tex]\displaystyle f(x)=\frac{4}{5} x-6[/tex]
Put x = 20
[tex]\displaystyle f(20)=\frac{4}{5} (20)-6\\\\f(20)=4 \times 4 - 6\\\\f(20)=16-6\\\\f(20)=10\\\\\rule[225]{225}{2}[/tex]
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = [tex]H_0\\[/tex] * D
where
v = velocity = 8254
[tex]H_0\\[/tex] = hubble constant = 70
D = v/[tex]H_0\\[/tex]
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
Learn more about the distance here:
https://brainly.com/question/15172156
#SPJ4
Sara wants to estimate the number of bees in a beehive. She catches 100 bees from the hive and marks each one with a dye. She then lets the bees go. The next day, Sara catches 50 bees from the hive. 10 of these bees have been marked with dye. a) Using this information, what is a good estimate for the number of bees in the beehive? b) Write down any one assumption you have made.
As per the given percentage of 20, the total number of bees is 200 and on the second day, he caught 40 unique bees so the total unique bees are 140
Percentage:
Percentage refers the amount of something is expressed as if it is a part of the total which is a hundred. and the ratio can be expressed as a fraction of 100.
Given,
Sara wants to estimate the number of bees in a beehive. She catches 100 bees from the hive and marks each one with a dye. She then lets the bees go. The next day, Sara catches 50 bees from the hive. 10 of these bees have been marked with dye.
Here we need to determine the number of bees in the beehive.
Let us consider she catches 100 bees from the hive and marks each one with a dye. And then lets the bees go.
Then the next day, she catches 50 bees from the hive. 10 of these bees have been marked with dye.
So, the percentage of the dye bees in the hive will be
P = 10/50 x 100
P = 20%
Now, let the total number of the bees be x, then the total number of the bees will be
=> 100 x 2 = 200
Therefore, the total number of bees is 200.
Now, the number of unique bees will be
Unique bees = 100 + (50 - 10)
Then, the number of unique bees = 100 + 40
Therefore, the number of unique bees is 140.
To know more about Percentage here.
https://brainly.com/question/28269290
#SPJ1
Find the area under the standard normal curve which lies:
(a) to the left of z= -2.07
(b) between z= -0.56 and z=1.2
(c) between z= 0.08 and z=2.84
(d) to the right of z=0.96
The area under the standard normal curve that lies to:
(a) to the left of z= -2.07
= 0.019226
(b) between z= -0.56 and z =1.2
= 0.17267
(c) between z = 0.08 and z =2.84
= 0.46586
(d) to the right of z =0.96
= 0.83147
What is standard normal curve?The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean is 0 and standard deviation is equal to 1.
Any normal distribution's values can be transformed into z scores to standardize it.
Z scores indicate the number of standard deviations each result is from the mean.
The area under the standard normal curve is gotten using the z table for the scores and the values are as follows
(a) to the left of z= -2.07
= 0.019226
(b) between z = -0.56 and z = 1.2
= z = -0.56 - z = 1.2
= 0.28774 - 0.11507
= 0.17267
(c) between z= 0.08 and z=2.84
= z = 0.08 - z = 2.84
= 0.46812 - 0.00226
= 0.46586
(d) to the right of z = 0.96
= 1 - z = 0.96
= 1 - 0.16853
= 0.83147
Learn more about z scores here:
brainly.com/question/28096232
#SPJ1
Three rectangular prisms have the same based area but different heights. As the heights of the these prism increase, the volume increases. Identify the dependent variable in this situation.
Answer:
volume
Step-by-step explanation:
The independent variable is the prism height.
The volume depends on and varies with the height, so the volume is the dependent variable.
What is 3(12+5) + 2x3
Answer:
57
Step-by-step explanation:
3(12 + 5) + 2(3) Use distributive property A(B + C) = AB + AC
36 + 15 + 2(3) = 57 Multiplication over addition
Answer:
57
Step-by-step explanation:
Do you remember PEMDAS?
first do the parentheses (12+5) = 17
then do the Multiplication 3x17= 51
and you have another multiplication 2x3= 6
so now you just need to add
51+6 = 57
Solve for (A) current ratio, (B) acid test (quick), (C) average day's collection (D) asset turnover, and (E) profit margin on sales. Round to nearest hundredth or hundredth percent as needed. Current Assets $ 21,000 Accounts Receivable 4,200 Current Liabilities 16,000 Inventory 3,500 Net Sales 41,000 Total Assets 32,000 Net Income 6,000
From the calculation below, we have:
A) Current ratio = 1.31
(B) Acid test (quick) = 1.09
(C) Average day's collection = 37.39 days
(D) Asset turnover = 1.28 times
(E) Profit margin on sales = 14.63%
How we calculate current ratio and others?The requirements can be solved as follows:
A) Current ratio = Current Assets / Current Liabilities = $21,000 / $16,000 = 1.31
(B) Acid test (quick) = (Current Assets - Inventory) / Current Liabilities = ($21,000 - $3,500) / $16,000 = 1.09
(C) Average day's collection = (Accounts Receivable / Net Sales) * 365 = ($4,200 / $41,000) * 365 = 37.39 days
(D) Asset turnover = Net Sales / Total Assets = $41,000 / $32,000 = 1.28 times
(E) Profit margin on sales = Net Income / Net Sales = ($6,000 / $41,000) * 100 = 14.63%
Learn more about current ratio here: https://brainly.com/question/19579866.
#SPJ1
7x - 10x + 18 + 2x = -5
The difference of two numbers is 19. The difference of their square roots is 1. Find the numbers.
Answer:
81 and 100
Step-by-step explanation:
There is a pattern between each square number
For 1 and 4, the difference is 3
For 4 and 9, the difference is 5
For 9 and 16, the difference is 7
For 16 and 25, the difference is 9
For 25 and 36, the difference is 11
For 36 and 49, the difference is 13
For 49 and 64, the difference is 15
For 64 and 81, the difference is 17
For 81 and 100, the difference is 19
I would appreciate it if you mark my answer as brainliest.
Solve the equation by first clearing fractions.
13/2Y+1/3=3/4Y
Answer:
y= -4/69
unless you want it in decimal form let me know
P(a) = 1/5, p(b) = 1/8 find the p(a and b)
When P(a) = 1/5, p(b) = 1/8 l, the value of p(a and b) is 1/40. This is the probability.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
Since P(a) = 1/5, p(b) = 1/8, the probability of P(a and b) will be
= P(a) × P(b)
= 1/5 × 1/8
= 1/40
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
if 848 m long iron wire is required to fence a square field 4 times,find the length of the square field
Answer:
53 m
Step-by-step explanation:
4 times around a square means 16 sides
848 /16 = 53 m per side
volume of solute= 2ml
volume of solvent= 4ml
percent by volume ?
wit solutions
Answer:
Step-by-step explanation:
The solutes percentage to the solvent. =. 2\4 x 100
. = 50%
Answer:
Step-by-step explanation:
V₁ = 2 ml
V₂ = 4 ml
V = V₁ + V₂ = 2 + 4 = 6 ml
V₁ / V = 2 / 6 = 1 /3 or ≈ 33%
Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in slope intercept form is y = -x + 2
How to find the equation of a line in slope intercept form?The equation of a line in slope intercept form can represented as follows.
y = mx + b
where
m = slopeb = y-interceptTherefore, let's find the slope of the line using (0, 2) and (-1, 3).
m = slope = 3 - 2 / -1 - 0
slope = 1/ - 1
slope = - 1
Therefore, let's find the y-intercept using (0, 2).
Hence,
y = -x + b
2 = -(0) + b
b = 2
Hence, the equation of the line is y = -x + 2
learn more on equation of a line here: https://brainly.com/question/14074784
#SPJ1
