Answer:
1. ATC=UAG, so ATC is UAG in mRNA form.
2. UAG=AUC, so UAG is AUC in tRNA form.
3. UAG mRNA is isoleucine.
if a regulation basketball is randomly selected, what is the probability that it will weigh between 20.5 and 23.5 ounces?
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
What is probability ?Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this is the case, we refer to the likelihood that the event will occur or not.
Here,
X υ N (22,1)
Probability that basketball will weigh between 20.5 and 23.5
is:
=> P(20.5 < x < 23.5)= P[ 20.5-22/1 < z < 23.5-22/ 1 ]
=> P(20.5 < x < 23.5) = P(-1.5 < z < 1.5)
=> P(20.5 < x < 23.5) = 0.866
Therefore, the probability that basketball will weigh between 20.5 and 23.5 is 0.866
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In a park for 6 people the ticket cost $39. How many dollar does it cost for 9 people
$ 58.50
Step-by-step explanation:
because 39 Divided by 6 is 6.5 and 6.5 × 9 it's 58 50
The ages of three friends are consecutively one year apart. Together, their ages total 30 years. What is the age of the youngest friend?
Answer:
The age of the youngest friend is 9 years old.
Step-by-step explanation:
3a = 30 - 3
= 27 ÷ 3
= 9
= 9 + 10 + 11 = 30
= 9 is the smallest number. So, the youngest friend is 9 years old.
Answer:
9
Step-by-step explanation:
11+10+9 = 30
Sue has 48 dolls. She gives 5/8 of them to her sister. How many dolls does she give her?
Answer:
i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
First, find 5/8 of 48
Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:
48
1
So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
5 x 48/8 x 1 = 240/8
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.
We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.
240/8 = 30
8/8 = 1
When we put that together, we can see that our complete answer is:
30/1
The complete and simplified answer to the question what is 5/8 of 48 is:
30Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.
Andrew just started a running plan where he runs 12 miles the first week and then increases the number of miles he runs by 5% each week. If he keeps up this plan for 10 weeks, how many total miles would Andrew have run, to the nearest whole number?
Answer:
18 miles.
Step-by-step explanation:
You start with 12 miles and then you first need to figure out what 5% of that is by doing the equation x/12 = 5/100 and you will then get .6. Then you multiply that number by 10 (one for each week) getting 6. Then you add the 6 to your starting total to get 18.
(Will mark brainiest if 2 people answer)
Use the graph to answer the question.
Determine the line of reflection.
Reflection across the X-axis
Reflection across the Y-axis
Reflection across x = −5
Reflection across y = 3
Answer:
Reflection across x = -5
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In the given statement is :
Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?
In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.
Survivorship Curve:
The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.
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Let Y 1 ,Y2 and Y3 be independent and identically distributed random variables with expectation E[Yi ]=μ and variance V[Yi ]=σ 2
for i=1,2,3. Suppose we want to estimate the expectation μ, and we propose to combine our three observations Y 1 ,Y2 and Y3 by defining a weighted average: Yˉω =ω1 Y1+ω 2Y2 +ω3 Y3 where ω1 ,ω2 and ω3
are constants between 0 and 1 . 1 (a) Calculate E[ Y
ˉ
ω
]. What condition do the weights ω 1
,ω 2
and ω 3
need to satisfy for Y
ˉ
ω
to be an unbiased estimator for μ ? (b) Calculate V[ Y
ˉ
ω
]. Using the condition you found on (a), find the set of weights that minimize the variance of Y
ˉ
ω
. Justify your answer. Now suppose that observations Y 1
,Y 2
and Y 3
are independent and have the same mean μ, but they have different variances. Specifically, V[Y 1
]=V[Y 2
]=σ 2
and V[Y 3
]=2σ 2
a.) The weights, ω1 + ω2 + ω3 = 1. b.) The weights, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). To estimate the expectation μ, we propose combining three independent and identically distributed random variables Y1, Y2, and Y3 using a weighted average, Y_bar ω = ω1Y1 + ω2Y2 + ω3Y3.
(a) The weights ω1, ω2, and ω3 need to satisfy the condition ω1 + ω2 + ω3 = 1 for Y_bar ω to be an unbiased estimator for μ. The expectation E[Y_bar ω] is calculated as E[Y_bar ω] = ω1E[Y1] + ω2E[Y2] + ω3E[Y3] = ω1μ + ω2μ + ω3μ = (ω1 + ω2 + ω3)μ. For Y_bar ω to be an unbiased estimator for μ, its expectation should equal μ. Therefore, ω1 + ω2 + ω3 = 1.
(b) The variance V[Y_bar ω] can be calculated as V[Y_bar ω] = V[ω1Y1 + ω2Y2 + ω3Y3]. Since Y1, Y2, and Y3 are independent, the variance of their sum is the sum of their variances. Therefore, V[Y_bar ω] = ω1²V[Y1] + ω2²V[Y2] + ω3²V[Y3] = ω1²σ² + ω2²σ² + ω3²σ² = σ²(ω1² + ω2² + ω3²). The variance of Y_bar(ω) can be calculated, and by applying the condition from (a), the set of weights that minimize the variance can be determined.
To minimize the variance, we can apply the condition from (a), ω1 + ω2 + ω3 = 1, and use a technique called Lagrange multipliers. By introducing the Lagrange multiplier λ, we form the Lagrangian L = σ²(ω1² + ω2² + ω3²) + λ(ω1 + ω2 + ω3 - 1). Taking partial derivatives with respect to ω1, ω2, ω3, and λ, we can solve the equations to find the set of weights that minimize the variance. The specific values will depend on the given values of σ² and the constraints imposed by the problem.
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In the expansion of (2a + 3b), which of the following are possible variable terms? Explain your reasoning.
a²b³; a5b³; ab8; b8; a4b4; a8; ab7; a6b5
The possible variable terms are a^5b^3, b^8, a^4b^4, a^8, ab^7
How to determine the possible variable term?The expression is given as:
(2a + 3b)^8
The power of the above expression is 8
When expanded, the sum of powers on each variable must be 8.
Using the above explanation, we have the following possible variable terms:
a^5b^3, b^8, a^4b^4, a^8, ab^7
This is because the sum of powers equals 8
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The exact circumference of a circle is 18 π inches. What is the area of the circle? Express your answer in terms of π . __ in.2
Answer:
25.7831
Step-by-step explanation:
A=πr2
C=2πr
Solving forA
A=C2
4π=182
4·π≈25.7831
You have the following information about Burgundy Basins, a sink manufacturer. 20million Equity shares outstanding Stock price per share Yield to maturity on debt $ 38 9.5% Book value of interest-bearing debt $ Coupon interest rate on debt Market value of debt 345 million 4.3% $ 240 million $ 400 million Book value of equity Cost of equity capital Tax rate 11.6% 35% Burgundy is contemplating what for the company is an average-risk investment costing $36 million and promising an annual A $4.8 million in perpetuity. a. What is the internal rate of return on the investment? (Round your answer to 2 decimal places.) Answer is complete and correct. Internal rate of return 13.33 % b. What is Burgundy's weighted-average cost of capital? (Round your answer to 2 decimal places.) Answer is complete but not entirely correct. Weighted-average cost 9.49 %
The internal rate of return on the investment for Burgundy Basins is 13.33%.
How can the internal rate of return on the investment for Burgundy Basins be described?The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.
Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.
In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.
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under root 164÷under root 162
hope it helps you ma'am or sir
Point F' corresponds to point D. point E'. point F. point E.
Answer:
F' corresponds to point F
Step-by-step explanation:
When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.
__
Comment on point naming
Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually be point D.
Answer:
C
Step-by-step explanation:
Point F.
If $y>0$, find the range of all possible values of $y$ such that $\lceil{y}\rceil\cdot\lfloor{y}\rfloor
Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}
The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.
To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.
1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.
2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.
Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.
The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.
Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}
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20, 33, 44, 53, 69, 75, 89, 90 Find the mean and the standard deviation. Round to the nearest thousandth.
The mean and the standard deviation of the following numbers 20, 33, 44, 53, 69, 75, 89, 90 are 59.125 and 22.461 respectively
What are mean and standard deviation?The mean is the average value in a collection and a standard deviation is the average amount of variability in a data.
mean= sum of data in the collection/ number of data
= (20+33+44+53+69+75+89+90)/8 = 473/8 = 59.125( nearest thousandth)
standard deviation= sum of √(x- mean)^2/ number of data while x is each number in the data
finding (x- mean)^2 for each value of x
(20-59.125)^2=848.266
(33-59.125)^2=682.516
(44-59.125)^2=228.766
(53-59.125)^2=37.516
(69-59.125)^2=102.516
(75-59.125)^2= 260.016
(89-59.125)^2= 907.516
(90-59.125)^2= 968.766
S.D= √(848.266+682.516+228.766+37.516+102.516+260.016+907.516+968.766)/8 =
√504.484
Therefore S.D =22.461 ( to the nearest thousandth)
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A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
The length of the second wire stretches when the same forces are applied to it is given by option A. 0.30 cm .
Length of the wire = 0.90cm
let us consider the concept of Young's modulus also known as the modulus of elasticity.
Young's modulus is a measure of the stiffness or rigidity of a material.
It quantifies how much a material deforms under a given force.
The equation for Young's modulus is as follows,
E = (F/A) / (ΔL/L)
Where,
E is Young's modulus
F is the applied force
A is the cross-sectional area of the wire
ΔL is the change in length of the wire
L is the original length of the wire
The first wire stretches by 0.90 cm
and the forces applied to both wires are the same,
Use this information to determine the Young's modulus of the material.
Let us assign some variables,
ΔL₁= 0.90 cm change in length for the first wire
L₁ = original length of the first wire
A₁ = cross-sectional area of the first wire
Since the forces applied to both wires are the same,
Assume that the stress force per unit area is the same for both wires. This implies,
(F/A₁) / (ΔL₁/L₁) = (F/A₂) / (ΔL₂/L₂)
The second wire has three times the diameter and three times the length of the first wire.
This means the cross-sectional area A₂ of the second wire will be nine times the cross-sectional area A₁ of the first wire.
Mathematically,
A₂ = 9A₁
Similarly, the length L₂ of the second wire is three times the length L₁ of the first wire,
L₂ = 3L₁
Substituting these values into our equation, we have,
(F/A₁) / (ΔL₁/L₁) = (F/(9A₁)) / (ΔL₂/(3L₁))
Simplifying further, we get,
⇒ 1 / (ΔL₁/L₁) = 1/9 / (ΔL₂/(3L₁))
⇒ L₁ /ΔL₁= 1/9 × 3L₁/ΔL₂
⇒ 1/ ΔL₁ = ( 3/9) ( 1 / ΔL₂)
Since ΔL₁ =0.90 cm
Substitute these values and solve for ΔL₂,
⇒1/ 0.90 cm ₁ = ( 3/9) ( 1 / ΔL₂)
⇒ΔL₂ = (0.90 cm ) × (3/9)
⇒ΔL₂= 0.90 cm × (1/ 3)
⇒ΔL₂ = 0.30 cm
Therefore, the second wire stretches by option A. 0.30 cm when the same forces are applied to it.
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The above question is incomplete, the complete question is:
A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
A. .3 cm
B. .1 cm
C. 2.7 cm
D. .9 cm
82% of 23.7 is what ?
a)28.9
b)146.9
c)1943.4
d)19.4
*with work done plz:)
Answer:
the answer is C
Step-by-step explanation:
hope this helps you
.82×23.7=19.434
Answer:
D
Step-by-step explanation:
step 1: Simplify 82/100 to its simplest form to by two to get 41/50
Step 2: multiply 41 by 23.7
41×23.7= 1971.7
Step 3: Divide 1971.7÷50=19.434
to the nearest hundredths =
19.4
what is the slope of a line with points (0,3) and (5,18)
Answer:
bye
Step-by-step explanation:
1.
Find the slope of the line.
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer: D. 3/2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Slope is change in y / change in x
In the graph there is an interception at 0,1 and 2,4
So the change in x is 2 and the change in y is 3
so 3/2
And it's positive since it's going top right.
what is the unit of measurement for coding the length of lacerations? a. square inches b. inches c. square centimeters d. centimeters
The unit of measurement for coding the length of lacerations d)centimeters.
Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.
Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.
Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.
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plz, help this do at 9:00
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answer:
B
Step-by-step explanation:
The answer is B no questions GO GO GO SUBTRACTION SIGN MEANS THEY OWE MONEY
calculate the surface area and then the volume
Answer:
To calculate the surface area and volume of a cylinder, we can use the following formulas:
a) Surface Area of a Cylinder:
The surface area of a cylinder consists of two circles (top and bottom) and the curved surface area.
The formula for the surface area of a cylinder is:
SA = 2πr² + 2πrh
Where:
SA = Surface Area
r = Radius of the base (half the diameter)
h = Height of the cylinder
Given that the diameter is 16 yards, the radius is half of that, so r = 8 yards. The height is 20 yards.
Substituting the values into the formula, we get:
SA = 2π(8)² + 2π(8)(20)
= 2π(64) + 2π(160)
= 128π + 320π
= 448π
So, the surface area of the cylinder is 448π square yards.
b) Volume of a Cylinder:
The formula for the volume of a cylinder is:
V = πr²h
Using the same values for the radius (r = 8 yards) and height (h = 20 yards), we can calculate the volume:
V = π(8)²(20)
= 64π(20)
= 1280π
The volume of the cylinder is 1280π cubic yards.
The length of a rectangle is 3 units more than the width. The area of the rectangle is 54 units. What is the width, in units, of the rectangle?
please hurry
Answer:
The width is 6 and the length is 9.
Step-by-step explanation:
Factors of 54: (1, 54), (2, 2), (3, 18), and (6, 9)
6 and 9 would work because 6+3=9
what is the answert to this question? 8x+y=-3
The range of the function 8x + y = -3 at the domain {−3, 1, 2, 4} is {21, -11, -19, -35}
How to determine the range of the function?From the question, we have the following equation that can be used in our computation:
8x + y = -3
Start by making the variable y the subject of the formula
So, we have
y = -8x - 3
Using the domain = {−3, 1, 2, 4} the values in the range are calculated as follows
y = -8 x -3 - 3 = 21
y = -8 x 1 - 3 = -11
y = -8 x 2 - 3 = -19
y = -8 x 4 - 3 = -35
When these values are combined, we have the notation to be:
{21, -11, -19, -35}
So, the range is {21, -11, -19, -35}
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Complete question
What is the answer to this question? 8x+y=-3
domain = {−3, 1, 2, 4}
Write the range of y using set notation.
Find the missing side
Answer:
5^2+7^2= 12^2 so your answer should be 12
WILL GIVE BRAINLIEST PLS HELP
Table 101 х 30 5080 y 10 18 25 9 from "Table 101" To evaluate the fit of a model, the absolute values of the deviations (differences between the actual data values and values predicted by the model) are added together. Order the models based on the these total deviations. Place the model with the smallest total absolute deviation on top. y = 0.4x - 2 = - y = 0.3x + 2 y = 0.3x + 1
Answer:
We can determine that Option A, y = 0.4x - 2 is the correct answer
Step-by-step explanation:
Step 1: Plug in 30 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(30) - 2 = 10
Equation 2 --> y = 0.3(30) + 2 = 11 <-- WRONG Y-VALUE
Equation 3 --> y = 0.3(30) + 1 = 10
Step 2: Plug in 50 into the x-value to see if the y-value matches
Equation 1 --> y = 0.4(50) - 2 = 18
Equation 3 --> y = 0.3(50) - 2 = 13 <-- WRONG Y-VALUE
Answer: We can determine that Option A, y = 0.4x - 2 is the correct answer
tofurkey is a vegan turkey substitute, usually made from tofu. at a certain restaurant, the number of calories in a serving of tofurkey with wild mushroom stuffing and gravy is normally distributed with mean 482 and standard deviation 30. find the 92nd percentile of the number of calories. find the 30th percentile of the number of calories. find the third quartile of the number of calories.
(a) The 92nd percentile of the number of calories is 524.3.
(b) The 30th percentile of the number of calories is 466.4.
(c) The third quartile of the number of calories is 502.1.
What is the percentile of the distribution?To find percentiles in a normally distributed population, we use the standard normal distribution and the z-score formula:
z = (x - μ) / σ
where;
x is the value we want to find the percentile for, μ is the population mean, σ is the population standard deviation, and z is the corresponding z-score.To find the 92nd percentile of the number of calories:
We want to find the value x such that 92% of the servings have fewer calories than x.
This means that we need to find the z-score such that the area to the left of z is 0.92.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.92 is approximately 1.41.
Then, we use the z-score formula to solve for x:
1.41 = (x - 482) / 30
x - 482 = 42.3
x = 524.3
To find the 30th percentile of the number of calories:
We want to find the value x such that 30% of the servings have fewer calories than x.
This means that we need to find the z-score such that the area to the left of z is 0.30.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.30 is approximately -0.52.
Then, we use the z-score formula to solve for x:
-0.52 = (x - 482) / 30
x - 482 = -15.6
x = 466.4
To find the third quartile of the number of calories:
The third quartile, denoted Q3, is the value such that 75% of the servings have fewer calories than Q3.
This means that we need to find the z-score such that the area to the left of z is 0.75.
Using a standard normal distribution table or calculator, we can find that the z-score corresponding to an area of 0.75 is approximately 0.67.
Then, we use the z-score formula to solve for x:
0.67 = (x - 482) / 30
x - 482 = 20.1
x = 502.1
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what has the same solution of 3x-12=24
Answer:
12 + 3x = 24
Step-by-step explanation:
Simplifying
3x + 12 = 24
Reorder the terms:
12 + 3x = 24
Solving
12 + 3x = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 3x = 24 + -12
Combine like terms: 12 + -12 = 0
0 + 3x = 24 + -12
3x = 24 + -12
Combine like terms: 24 + -12 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
Answer
x=12
Step-by-step explanation:
3 times 12 is 36
36 minus 12 is 24
if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
2/-3 * -3/2
pls answer fast!!...step by step explanation pls
Solution is 1
According to question
2/-3×-3/2
⇒-6/-6
∴ 1
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