Answer:
640 mm
Step-by-step explanation:
A seed randomly blows around a complex habitat. It may land on any three different soil types: a high-quality soil that gives a 0.8 chance of seed survival, a medium-quality soil that gives a 0.3 chance of survival, and a low-quality soil that gives only a 0.1 chance of survival. These three soil types (high, medium, and low) are present in the habitat in proportions 30:20:50 respectively. The probability that a seed lands on a particular soil type is proportional to the frequency of that type in the habitat. If the probability that a seed dies before lt can land on any of the soil types is 0.2, what is the overall probability of seed survival?
Answer:
0.28
Step-by-step explanation:
High-quality soil gives seed: 0.8 chance of survival
Medium-quality soil gives seed : 0.3 chance of survival
Low-quality soil gives seed: 0.1 chance of survival
Proportions/frequency of soils:
High-quality soil = 30% = 0.3
Medium-quality soil = 20% = 0.2
Low-quality soil = 50% = 0.5
probability of a seed landing on a particular soil type ∝ frequency of that type in the habitat
probability that a seed dies before landing = 0.2
A) The overall probability of seed survival
first we have to determine the probability of seed survival if it lands
= ∑ (frequency of soil * chance of seed survival)
= (0.8 * 0.3) + ( 0.3 * 0.2 ) + ( 0.1 * 0.5 ) = 0.35
hence overall probability of seed survival
= ( 1 - 0.2 ) * 0.35 = 0.28
How many angle measurements do you need to figure out the measurements of all the labeled angles in the figure below?
Answer:
2
Step-by-step explanation:
There are 2 angles measurements do you need to figure out the measurements of all the labeled angles in the figure.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
There are 4 angles is shown in figure.
Now, If we know the value of angle 1 then by vertically opposite angle the value of angle 3 is same as angle 1.
And, If we know the value of angle 2 then by vertically opposite angle the value of angle 4 is same as angle 2.
Thus, There are 2 angles measurements do you need to figure out the measurements of all the labeled angles in the figure.
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Graphs of the functions f and g are given.
(a) Which is larger, f(0) or g(0)?
A. f(0) is larger.
B. g(0) is larger.
C. Neither is larger.
(b) Which is larger, f(3) or g(3)?
A. f(3) is larger.
B. g(3) is larger.
C. Neither is larger.
After analyzing, it can be concluded that the functions f and g are:
A. f(0) is larger than g(0).
B. f(3) is larger than g(3).
Two Functions is LargerTo determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).
Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).
To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.
For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.
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Subtract 8 feet from 9 yards, 1 foot.
7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foot
Answer:
6 yards, 2 feet
Step-by-step explanation:
9yards and 1 ft - 8 feet= 6.66666667 yards
6.66666667 yards=6 yards, 2 feet
6 yards, 2 feet
hope it helps
A survey of 400 students yielded the following information: 262 were seniors, 215 were commuters, and 150 of the seniors were commuters. How many of the 400 surveyed students were seniors or were commuters?
Out of the 400 surveyed students, 327 were either seniors or commuters.
To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.
According to the information given:
There were 262 seniors.
There were 215 commuters.
150 of the seniors were also commuters.
To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.
Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters
= 262 + 215 - 150
= 327
Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.
It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.
This ensures an accurate count of the students who fall into either category.
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How many three-digit numbers have the first digit equal to the sum of the other two digits?
Answer:
10
Step-by-step explanation:
since the first digit must be equal to the sum of the other two digits the first digit must be in the range of 0 to 9 this means there are a total of 10 possible values for the first digit.
If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function. Compare your response to the sample response above. What did you include in your explanation? a reference to the horizontal-line test a statement that the function is one-to-one the conclusion that the inverse is a function
Based on the sample response given, the statements included in the explanation on the horizontal line test are:
a reference to the horizontal-line test.a statement that the function is one-to-one. inverse is a function.What is the horizontal-line test?The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.
To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.
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Aaliyah is a salesperson who sells computers at an electronics store. She makes a base pay of $70 each day and then is paid a $1.25 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Aaliyah's total pay on a day on which she sells xx computers.
Answer:
p = 1.25x + 70
Step-by-step explanation:
We know she makes $70 each day and we know she makes $1.25 for each computer she sells.
With that we can add it into an equation because we can add 70 + 1.25, but the amount for each computer she sells in unknown so we give it an x which makes it 1.25x.
So, we do 1.25x + 70, but the amount total is missing so that is our p.
This finally completes our equation, p = 1.25x + 70 or 1.25x + 70 = p
Help me please I need help x^2 - 8x + 16
The set of factors used to factor the given trinomial are -4 and -4. Therefore, option C is the correct answer.
The given trinomial is x²-8x+16.
Factors of 16 Sum of factors
-1 and -16 -1+(-16)=-17
-2 and -8 -2+(-8)=-10
-4 and -4 -4+(-4)=-8
The set of factors would used to factor the trinomial are -4 and -4.
Therefore, option C is the correct answer.
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If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
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Step-by-step explanation:
f[g(X)]
=f(X+5)
=(x+3)+5
=x+8
Ans: fg(x)=x+8
Step-by-step explanation:
If you know how to solve this, Please answer it. Thank You
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A person works and earns $3853 dollars but on a pay stub pays 49% to tax. What is the sales Tax?
Answer:
1887.97 (3853 * 0.49)
Step-by-step explanation:
3853 * 0.49
I need help it’s 9th grade algebra 1
The system of equations has one solution, which is (2, 3).
What is the Solution to the Graphed System of Equations?To find the solution to a graphed system of equations, you need to find the points where the graphs of the two equations intersect. These points represent the coordinates of the solution, which are the values of x and y that make both equations true simultaneously.
The system of equations as shown in the graph has one solution, which is: (2, 3). This is because the liens intersect at the point (2, 3).
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From a standard deck of 52 cards (containing the spades, diamonds, clubs, and hearts suites), what is the probability that you draw the three of squares?
Answer:
1/52
Step-by-step explanation:
theres 52 cards and there is only one three of squares so there is a 1/52 chance
Answer:
3/52
Step-by-step explanation:
Let R be the region enclosed by the graph of y = sqrt(x-1), the vertical line x = 10, and the x-axis.
a) Find the area of R
b) Find the volume of the solid generated when R is revolved about the horizontal line y = 3
D) Find the volume of the solid generated when R is revolved about the vertical line x = 10
Area of R= 6√3 square units, volume of the solid generated when R is revolved about the horizontal line y = 3 is 9π cubic units and volume of the solid generated when R is revolved about the vertical line x = 10 is 17.91 cubic units.
What is volume?
In mathematics, volume refers to the measure of the amount of space occupied by a three-dimensional object.
a) To find the area of R, we need to integrate the function y = \(\sqrt{(x-1)\) from x = 1 to x = 10 (the region bounded by the x-axis and the vertical line x = 10). So we have:
Area of R = ∫[1,10] \(\sqrt{(x-1)\) dx
Using the substitution u = x - 1, we can rewrite the integral as:
Area of R = ∫[0,9] \(\sqrt{(u)\) du
Using the power rule for integration, we have:
Area of R = (2/3)\(u^{(3/2)\) |[0,9]
= (2/3)\((9^{(3/2)} - 0)\)
= 18√3/3
= 6√3
Therefore, the area of R is 6√3 square units.
b) To find the volume of the solid generated when R is revolved about the horizontal line y = 3, we can use the method of disks. We need to integrate the area of the circle generated by each vertical slice of R as it rotates around the line y = 3. The radius of each circle is given by r = y - 3, and the area of each circle is given by A = π\(r^2\). So we have:
Volume = ∫[1,10] π\((y-3)^2\) dx
Using the substitution u = y - 3, we can rewrite the integral as:
Volume = π ∫[0,√9] \(u^2\) du (substituting the limits by the boundary conditions)
Using the power rule for integration, we have:
Volume = π(\(u^3\)/3) |[0,3]
= π(\(3^3\)/3 - 0)
= 9π
Therefore, the volume of the solid generated when R is revolved about the horizontal line y = 3 is 9π cubic units.
c) To find the volume of the solid generated when R is revolved about the vertical line x = 10, we can use the method of cylindrical shells. We need to integrate the volume of each cylindrical shell generated by each vertical slice of R as it rotates around the line x = 10. The radius of each cylindrical shell is given by r = 10 - x, and the height of each cylindrical shell is given by h = y. So we have:
Volume = ∫[1,10] 2πrh dx
= ∫[1,10] 2πy(10-x) dx
= 2π ∫[1,10] y(10-x) dx
Using the substitution u = 10 - x, we can rewrite the integral as:
Volume = 2π ∫[0,9] (10-u) sqrt(u-1) du (substituting the limits by the boundary conditions)
Using integration by parts with u = (10 - u) and dv = sqrt(u-1) du, we have:
Volume = 2π [-2/3 (10-u) \((u-1)^{(3/2)\) - 4/5 \((u-1)^{(5/2)\)] |[0,9]
= 2π [(2/3)(9)(2√2) + (4/5)(8√2) - (2/3)(-1)\((1)^{(3/2)\) - (4/5)(0)]
= 2π (12√2/5 + 72√2/5 + 2/3)
= 48π√2/5
Therefore, the volume is approximately 17.91 cubic units.
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Four students have interviews for summer internships. One is a first-year student, two are second-year students, and one is a third-year student. They are interviewed in the following order: third-year student, second-year student, first-year student, and second-year student. The following conditions apply:
Ashley interviewed after Carlos but before Brianna.
David interviewed before Carlos.
Brianna interviewed last.
Who is the first-year student?
Answer:
Ashley
Step-by-step explanation:
Lets understand the conditions.
Carlos < Ashley < Brianna
David < Carlos
Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is
David, Carlos, Ashley, Brianna
Since Ashley was interviewed third, she is the first year student
Cheers
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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Use linear approximation, i.e. the tangent line, to approximate 3√ 125.2 as follows: Let f(x)=√x. The equation of the tangent line to f(x) at x = 125 can be written in the form
y=mx+b
Using linear approximation, the expression √125.2 can be approximated as approximately 10.02.
How to find linear approximation?To find the equation of the tangent line to the function f(x) = √x at x = 125, determine the slope (m) and the y-intercept (b) of the tangent line.
First, find the slope (m) using the derivative of the function f(x) = √x:
f'(x) = 1 / (2√x)
Evaluate the derivative at x = 125:
f'(125) = 1 / (2√125) = 1 / (2 × 5) = 1/10
Now, find the y-coordinate of the point on the function f(x) at x = 125:
f(125) = √125 = 5
So, the tangent line at x = 125 passes through the point (125, 5) and has a slope of 1/10.
Using the point-slope form of a linear equation, the equation of the tangent line can be written as:
y - 5 = (1/10)(x - 125)
To simplify, multiply through by 10:
10y - 50 = x - 125
Rearranging the equation, express it in the form y = mx + b:
y = (1/10)x - 75/10 + 5
Simplifying further:
y = (1/10)x - 75/10 + 50/10
Combining the terms:
y = (1/10)x - 25/10
Therefore, the equation of the tangent line to f(x) = √x at x = 125 is y = (1/10)x - 25/10.
Now, use this tangent line to approximate the value of √125.2:
Substitute x = 125.2 into the equation:
y = (1/10)(125.2) - 25/10
y = 12.52 - 2.5
y ≈ 10.02
So, using linear approximation, approximate √125.2 as approximately 10.02.
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What is the length of side CB to one decimal place?
B
A
10
53°
C
▸
The length of side CB to one decimal place is 89.3.
To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.
According to the sine rule:
sin(C) / x = sin(A) / AB
We know that angle A is 37° and AB is 120 units. Plugging in the values:
sin(53°) / x = sin(37°) / 120
To find x, we can rearrange the equation:
x = (120 * sin(53°)) / sin(37°)
Calculating this expression gives us:
x ≈ 89.32
Rounding this value to one decimal place, the length of side CB is approximately 89.3.
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A piece of art is in the shape of an equilateral triangle with sides of 15 in.
What is the area of the piece of art to the nearest tenth?
O 73.45 inches squared
84.5 inches squared
O 97.4 inches squared
169 inches squared
Answer:
97.4 inches squared
82,964 round to the nearest ten thousand
Answer:
83,000
Step-by-step explanation:
Rounding to the nearest thousand requires you to look at the hundreds place. If it is iver 5, then round your thousandths place up 1. If it is lower than 5, you keep the thousand at the current number.
Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB
Answer: a b f
Step-by-step explanation: I need brainliest for next rank I’d appreciate it
River c is 500 miles longer than River D. If the sum of their lengths is 5,520 what is the length of each River. (C and d)
. Which sentence contains a proper noun? Users of electronic databases can check a library’s catalog to see which books are available. Using computers, people can obtain goods directly from manufacturers in other countries. The Internet is a communication network that gained popularity in the 1990s. With the capabilities provided by the computer, users can research products, services, and companies online.
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
A proper noun should always start with a capital letter, whether at the start or middle of a sentence.Hans deposits $6000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years?
Answer:
Hans deposits $6000 into an account.
=> Principal P = 6000
Simple interest rate 5% per year.
=> Rate R = 5% = 5/100 = 0.05
The formula to calculate the amount of interest after 4 years:
A = P x R x years = 6000 x (5/100) x 4 = 1200$
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Plants are sold in trays.
Each tray holds 12 plants. Fatima needs 160 plants for her garden.
How many trays must Fatima buy?
(This is a 5th grade question)
Answer:
Step-by-step explanation:
160x12=1920
Factorise the following expressions.
Answer:
Q.1 a²+10a+24
splitting the middle.
a²+6a+4a+24
=a(a+6)+4(a+6)
(a+6)(a+4)
Q.2 x²+9x+18
splitting the middle
x²+6x+3x+18
x(x+6)+3(x+6)
(x+6)(x+3)
How many solutions does the following system have?
y = 4x + 6
y = 4x + 12
A. One Solution
B. Infinitely many solutions
C. No Solution
D. Two Solutions
I WILL MARK BRAINLEST IF YOUR ANSWER IS CORRECT!!!!
Answer: no solution
Step-by-step explanation:
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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Oscar has deposited $4,000 in a savings account at 1.5% interest. What is his real interest rate if the current inflation rate is 2.5%?
a. −1%
b. 4%
c. 3.75%
d. −0.6%
Answer:
-1%
Step-by-step explanation:
Just finished the quiz with 100%
Answer:
A. -1%
Step-by-step explanation:
If the inflation is 2.5% and the savings account had an original 1.5% interest rate, simply subtract.
1.5 - 2.5 = -1
-1%
1/6z= -10
A. -60
B. -4
C. -5/3
D. -16
Answer:
z = -60
Step-by-step explanation:
1/6z= -10
To find the value for z, multiply each side by 6
6*1/6z= -10*6
z = -60