Answer:
27.03
Step-by-step explanation:
3.4*5.3=18.02
5.1*5.3=27.03
Imagine a population of adult sockeye salmon in a stream in a remote area of Alaska. When they reach adulthood, sockeye salmon develop a hump on their back, but there is variation in how large of a hump a given fish will develop. Let's say that the size of the hump is determined by a single gene and that this gene has two incompletely dominant alleles: H alleles code for large humps, and h alleles code for small humps. Individuals with a copy two H alleles have very large humps, individuals with two h alleles have very small humps, and individuals that have both alleles develop an intermediate sized hump. Let's also say that bears have recently invaded the area around this stream and that bear predation is known to be a major source of mortality for these salmon where they co-occur with bears, and it is documented that bears preferentially eat individuals with either very large humps or individuals with very small humps. Therefore, in areas with bears, the individuals with Hh genotype have the highest fitness of any in the population, as they are least preyed upon by bears. Let's assume that the population previously existed in Hardy-Weinberg equilibrium (HWE), but now is undergoing HWE with the influence of selection (but no other significant evolutionary forces). Imagine that a fisheries biologists contacts you and asks you what the equilibrium frequency will be of the two alleles in the population. What pieces of information would you need to know in order to answer the biologist's question? (Select all that apply from the list below)A. The selection coefficient (t) of the hh genotype/phenotype. B. The starting frequency of the h allele. C. The selection coefficient (s) of the HH genotype/phenotype. D. The parameters of the Delimited Individual Chance Estimators (DICE). E. The linkage disequillibrium coefficient (D). F. The synapomorphy (or synapomorphies) for the family Salmonidae. G. The starting frequency of the Hallele. H. The coefficient of least probability (z). I. The coefficient of maximum incredulity (i).
1) the selection coefficient (t) of the hh genotype/phenotype.
2) The starting frequency of the h allele.
3) The starting frequency of the H allele.
4) the selection coefficient of the HH genotype/phenotype.
What is the frequency?
The frequency of a periodic wave shape or signal at a given amplitude is expressed as an expression. It is measured in hertz (Hz), kilohertz (kHz), megahertz (MHz), and other units. The frequency of a specific data value is the number of times the data value appears.
Here, we have
Given: Let's say that the size of the hump is determined by a single gene and that this gene has two incompletely dominant alleles: H alleles code for large humps, and h alleles code for small humps. Individuals with a copy of two H alleles have very large humps, individuals with two h alleles have very small humps, and individuals that have both alleles develop an intermediate-sized hump.
We have to select all that apply from the list.
We concluded that:
1) the selection coefficient (t) of the hh genotype/phenotype.
2) The starting frequency of the h allele.
3) The starting frequency of the H allele.
4) the selection coefficient of the HH genotype/phenotype.
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Swimming Pool On a certain hot summer's day, 470 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $1011.00. How many children and how many adults swam at the public pool that day?
the weights of cars passing over a bridge have a mean of 3550 lb and a standard deviation of 870 pounds. Assume that the weights of cars passing over the bridge or never distributed. Use the empirical rule to estimate the probability that a randomly-selected car going over the bridge will weigh less than 940 lbs
Answer:
a. 0.15%
Step-by-step explanation:
The Z-score of 940 pounds is ...
(X -µ)/σ = (940 -3550)/870 = -3
The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.
The probability that a car weighs less than 940 lbs is about 0.15%.
In ∆ STU, the measure of < U=90°, UT=12, SU=35, and TS=37. What ratio reprecents the secant of < T?
By definition, a Right triangle is a triangle that has an angle whose measure is 90 degrees (which is also called "Right angle").
You can identify that the triangle STU is a Right triangle, because:
\(\angle U=90\degree\)The following is one of the Trigonometric ratios. It's called "Secant":
\(\sec \alpha=\frac{hypotenuse}{adjacent}\)In this case you can identify that:
\(\begin{gathered} \alpha=\angle T \\ hypotenuse=TS=37 \\ adjacent=UT=12 \end{gathered}\)Then, substituting values, you get that the answer is:
\(\sec \angle T=\frac{37}{12}\)I REALLY NEED HELP WITH THESE 5 QUESTIONS!!!!!!!!!
Answer:
is -5,-3
Step-by-step explanation:
set up the tablet and done
g The aquarium with the length , the width and the height contains liters of water. What is the height of an empty part of the aquarium
The height of an empty part of the aquarium is: B. 8.1 cm.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the volume of a rectangular prism, we have;
Volume of aquarium = 45 × 25 × 25
Volume of aquarium = 28125 cm³.
Note: 1 liter = 1000 mL = 1000 cm³
19 liter = 19,000 mL = 19,000 cm³
Volume of empty aquarium = Volume of aquarium - Volume of water
Volume of empty aquarium = 28125 cm³ - 19,000 cm³
Volume of empty aquarium = 9125 cm³.
Now, we can determine the height of the empty part:
Height = 9125/(45 × 25)
Height = 8.1 cm.
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Complete Question:
The aquarium with the length 45 cm, the width 25 cm and the height 25 cm contains
19 liters of water. What is the height of an empty part of the aquarium?
A
5.6 cm
B
8.1 cm
C
10.3 cm
D
11.9cm
A rock concert producer has scheduled an outdoor concert. The producer estimates the attendance will depend on the weather according to the following data.
to find the expected attendance, multiply the attendance by probability then add the products
6000 * 0.1 = 600
25000 * 0.2 = 5000
15000 * 0.2 = 3000
55000 * 0.5 = 27500
27500 + 3000 + 5000 + 600 = 36100
36100 * 15 = 541500 - 300000 = 241500 - 55000 = 186500
the second angle of a triangle is 28 more than the first angle. the third angle is two times the first. find the three angles.
The ratio of cheers to hollers was 9 to 8. If there were 96 hollers, how many cheers were there?
Answer:
108 cheers
Step-by-step explanation:
9:8
x:96
96/8 = 12
12 · 9 = 108
What is the equation of the line in slope-intercept form?
The equation that describes the function is determined as y = x + 3.
What is the slope of the line?The slope of a line is defined as rise over run, or the change in the y values to change in x values.
The slope of the line is calculated as follows;
slope, m = Δy / Δx = ( y₂ - y₁ ) / ( x₂ - x₁)
From the points on the graph, we have;
(x₁, y₁ ) = (-1, 2)
(x₂, y₂) = (1, 4)
m = ( 4 - 2) / ( 1 + 1 )
m = 2/2
m = 1
The y intercept of the line is 3
The general equation of a line is given as;
y = mx + c
where;
m is the slopec is the y intercepty = x + 3
Thus, the equation that describes the function is determined as y = x + 3.
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0.96 in fracton form
Answer:
As a fraction in simplest form it SHOULD be 24 over 25.
Step-by-step explanation:
"0.96 as a fraction (simplified form)" MagnetsAndMotors (Dr. B's Other Channel)
Answer:
24/25
Step-by-step explanation:
0.96
By counting the numbers after the decimal point which is two.
so we will write: 96/100, since hundred has to two zero.
Then we will divide 96/100 to it simplest form which is 24/25
hey can someone please help me with this
Answer:
no
Step-by-step explanation:
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
a rectangle has dimensions 3 cm by 5cm. what happens to the perimeter if the width is doubled and if the length is double plus both width and length is double. What will happen to the perimeter?
all in the list please answer not in advance.
( please I nede to finish sooner!)
if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b
The perimeter of a rectangle is the sum of the lengths of all four sides. The original rectangle has dimensions 3 cm by 5 cm, so its perimeter is:
P = 2(3 cm + 5 cm) = 16 cm
Now let's consider the effects of the changes to the dimensions:
If the width is doubled, the new dimensions are 3 cm by 2(5 cm) = 10 cm. The new perimeter is:
P' = 2(3 cm + 10 cm) = 26 cm
The perimeter is increased by 10 cm.
If the length is doubled and both the width and length are doubled, the new dimensions are 2(3 cm) = 6 cm by 2(5 cm) = 10 cm. The new perimeter is:
P'' = 2(6 cm + 10 cm) = 32 cm
The perimeter is increased by 16 cm.
Therefore, if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.
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1. The average monthly electricity consumption of households in a particular community is 89.5 kWh. The standard deviation is 10 kWh. What is the coefficient of variation? Give your answer as a value correct to two decimal places. Do not include the percentage sign in your answer.
2. Approximately 100% of a distribution is contained within three standard deviations of the mean.
Select one:
True
False
The coefficient of variation (CV) is the ratio of the standard deviation to the mean expressed as a percentage. we get 11.17. Approximately 100% of a distribution is contained within three standard deviations of the mean. is false.
The statement "Approximately 100% of a distribution is contained within three standard deviations of the mean" is false. The correct statement is that approximately 99.7% of a distribution is contained within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule. The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. This rule is useful in determining the range of values that are considered normal or abnormal for a particular dataset. It is important to note that this rule only applies to normal distributions and not to all distributions. In non-normal distributions, the percentage of data within a certain number of standard deviations of the mean may differ.
The coefficient of variation for the given problem is 11.17 and the statement "Approximately 100% of a distribution is contained within three standard deviations of the mean" is false.
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Jada earns $15 per week mowing her neighbors' lawn and already had $50 in her savings account. Malik gets paid $10 per hour for the first hour of babysitting and has $70 in his savings account.
How much money will Jada and Malik have after 7 weeks?
After how many weeks will Jada and Malik have the same amount of money?
Jada and Malik will have the same amount of money after approximately 9 weeks.
To calculate how much money Jada and Malik will have after 7 weeks, we need to consider their weekly earnings and existing savings.
Jada earns $15 per week mowing lawns and already has $50 in her savings account. Over 7 weeks, she will earn a total of 7 * $15 = $105 from mowing lawns. Adding her existing savings, Jada will have a total of $50 + $105 = $155 after 7 weeks.
Malik earns $10 per hour for the first hour of babysitting and already has $70 in his savings account. To calculate Malik's earnings, we need to know how many hours he babysits each week. Assuming he babysits for the same number of hours each week, let's say 3 hours, he will earn 3 * $10 = $30 per week. Over 7 weeks, Malik will earn a total of 7 * $30 = $210 from babysitting. Adding his existing savings, Malik will have a total of $70 + $210 = $280 after 7 weeks.
To determine when Jada and Malik will have the same amount of money, we need to set up an equation:
$155 (Jada's total after x weeks) = $280 (Malik's total after x weeks)
Simplifying the equation, we have:
155 + 15x = 280 + 30x
Rearranging the equation, we get:
15x - 30x = 280 - 155
-15x = 125
Dividing both sides by -15, we have:
x = -125 / -15 = 8.33
Since we can't have a fraction of a week, we round up to the nearest whole number.
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K As a town gets smaller, the population of its high school decreases by 4% each year. The senior class has 250 students now. In how m students? Write an equation. Then solve the equation. Write an equation to represent this situation. Let n be the number of years before the class will have 100 students. 0 (Type an equation using n as the variable. Use integers or decimals for any numbers in the equation.) Solve the equation. In n = years the senior class will have about 100 students. (Type an integer or decimal rounded to the nearest hundredth as needed.)
Answer:
y = 250(0.96^n)
Step-by-step explanation:
You want an equation for the number of students in the senior class after n years, when it has 250 students now and decreases at 4% per year. You also want to know the number of years until the class is 100 students.
Exponential equationThe exponential equation will have the form ...
y = a·b^x
where 'a' is the initial value, 'b' is the growth factor, and x is the independent variable.
ApplicationYou have an initial value of 250, a growth factor of (1+(-4%)) = 0.96, and an independent variable of 'n', representing the number of years the population has been declining. The equation is ...
y = 250(0.96^n)
100 studentsThe population will reach 100 students when n has the value that satisfies ...
100 = 250·0.96^n
0.4 = 0.96^n . . . . . . . . . divide by 250
log(0.4) = n·log(0.96) . . . . . take logarithms
n = log(0.4)/log(0.96) ≈ 22.45
The senior class will have about 100 students in 22.45 years.
__
Additional comment
The growth factor used in these exponential equations is (1 + growth rate), where the growth rate is the fractional change in the period of interest. The independent variable (x or n) is the number of such periods. Here, the fractional change is given as -4%, a 4% per year decrease. This tells us a period is 1 year. Of course -4% is the decimal fraction -0.04.
A statistical research yields to the sample proportion of a certain feature in a certain community be 0.80. Find the required sample size for a maximum margin of error of 0.09 for a 90% confidence interval. a. 54 b. 45 c. 35 d. 53
Answer:
Step-by-step explanation:
5+6
if ₱60,000.00 was deposited in a bank and became ₱61,625.00 at the end of 150 days, find the interest rate using exact and ordinary days.
Days exactly: The rate of interest is 4.17%. The interest rate of amount is 4.21% on regular days.
I = P x R x T/365, where I is the interest, P is the principal, R is the rate, and T is the duration, can be used to determine the interest rate using exact days.
I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows: 625 = 60000 x R x 150/365. By multiplying both sides by 365/150, we may find R. As a result, R = 625 x 365/90000 = 4.17%.
I = P x R x T/360, where I is the interest, P is the principal, and R is the rate of return, can be used to get the interest rate using regular days.T stands for time, and R represents the rate. I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows:
625 = 60000 x R x 150/360. By dividing both sides by 360/150, we may find R. As a result, R = 625 x 360/90000 = 4.21%.
I = P x R x T/365, which means that R = I x 365/P x T = 625 x 365/60000 x 150 = 4.17%. Exact days
I = P x R x T/360 on typical days, which means that R = I x 360/P x T is 625 x 360/60000 x 150, or 4.21%.
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i need help and i can’t fine the right answer
The length of the secant AC, obtained using the tangent secant theorem is AC = 25 units
What is the tangent secant theorem?The tangent secant theorem indicates that when a secant ABC and a tangent, CD meets at an external point C to a circle, the relationship between segments are; AC × BC = CD².
Segment addition postulate indicates that we get;
AC = AB + BC
Where;
AB = 3·x + 1
BC = 9
Therefore;
AC = (3·x + 1) + 9 = 3·x + 10
AC × BC = (3·x + 10) × 9 = 27·x + 90
AC × BC = 27·x + 90
CD = 15
CD² = 15² = 225
AC × BC = CD²
Therefore; 27·x + 90 = 225
27·x = 225 - 90 = 135
x = 135/27 = 5
x = 5
AC = 3·x + 10
Therefore; AC = 3 × 5 + 10 = 25
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9 cows can eat all the grass in a field in 21 days.How many days would it take for 3 cows
Answer:
63 Days
Step-by-step explanation:
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Dan bought one package of blackberries for $3. How many packages can Darryl buy if he has $15? Show your work using mathematics.
Answer:
5
Step-by-step explanation:
You divide 15 by 3 and get the answer 5
Answer:
5
Step-by-step explanation:
3 divided by 15 = 5 so Dan can buy 5 blackberries in total with his money. Pls brainliest!
Benjamin uses a $20 bill to pay for his lunch. He received more than $5 in change. Which number line shows the possible cost of Benjamin's lunch?
Answer:
i dont see a number line, attach a pic pls
Step-by-step explanation:
PLEASE HELP!! i’ll give brainliest
A. ||
B.
C. neither they are skew lines
Answer:
I think it's A (parallel)
Answer:
A. its parallel
Step-by-step explanation:
all angles are equal... two sides are perpendicular and two are parallel
Solve the given initial-value problem.
x2y'' + 3xy' = 0, y(1) = 0, y'(1) = 10
the solution to the initial-value problem is:
y = 10 - 10/x^2.
To solve this second-order linear homogeneous differential equation, we first write it in standard form by dividing both sides by x^2:
y'' + (3/x)y' = 0
This equation is not in the form of a standard linear homogeneous differential equation, so we need to use a substitution to transform it into that form. Let z = y', then we have:
z' + (3/x)z = 0
This is a first-order linear homogeneous differential equation, which we can solve using an integrating factor. The integrating factor is given by:
I(x) = e^(∫(3/x) dx) = x^3
Multiplying both sides of the differential equation by the integrating factor, we get:
x^3 z' + 3x^2 z = 0
This equation can be rewritten as:
d/dx (x^3 z) = 0
Integrating both sides with respect to x, we obtain:
x^3 z = C1
where C1 is an arbitrary constant of integration. Substituting z = y' and solving for y, we get:
y' = C1/x^3
Integrating both sides with respect to x, we obtain:
y = C2 - C1/(2x^2)
where C2 is another arbitrary constant of integration. Using the initial conditions, we have:
y(1) = 0, so C2 - C1/2 = 0, or C2 = C1/2
y'(1) = 10, so C1 = 20
Substituting these values, we have:
C2 = 10
Therefore, the solution to the initial-value problem is:
y = 10 - 10/x^2.
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Mathematics (3.02)
(03.02)
A fish is 5 feet below the surface of a lake. If its position can be recorded as -5 feet, what would the position of 0 represent?
O the distance above the surface of the lake
O the distance below the surface of the lake
O the surface of the lake
the height of the fish
SURFACE AREA OF THIS
Jim rolled a fair die five times and obtained a 3 every time. He concluded that on the next roll a 3 is more likely to occur than any other number. Explain whether this is true
Deejilani, this is the solution:
Jim conclusion that on the next roll a 3 is more likely to occur is not true.
Actually, a 3 has the same probability to occur that the other five numbers:
The probabilities are:
P(1) = 1/6
P(2) = 1/6
P(3) = 1/6
P(4) = 1/6
P(5) = 1/6
P(6) = 1/6
As you can see, the probabilities are exactly the same because the die is fair.
where is it located on the number line
move it 0.25 units right
Robert wants to use all the ingredients listed in the table at the right to make trail mix . How many 1/2 pound packages can he make?
Answer:
Robert can make 16 packages