Answer:
The value is [tex]H =0.3966[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 50
The mean tail is [tex]\= x = 85.4 \cm[/tex]
The number of resplendent quetzals selected as breeders is [tex]k = 10[/tex]
The mean tail breeders is [tex]\= x_1 = 91.2 \ cm[/tex]
The mean tail of the breeders after mating [tex]\= x_2 = 87.7 \ cm[/tex]
Generally the selection differential is mathematically represented as
[tex]D = \= x_1 - \= x [/tex]
=> [tex]D = 91.2- 85.4 [/tex]
=> [tex]D = 5.8 \ cm [/tex]
Generally the selection response is mathematically represented as
[tex]S = \= x_2 - \= x[/tex]
=> [tex]S = 87.7 - 85.4[/tex]
=> [tex]S =2.3 \ cm [/tex]
Generally the heritability of tail length in this resplendent quetzal population is mathematically represented as
[tex]H = h^2 = \frac{S}{D} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = \frac{2.3}{5.8} [/tex]
=> [tex]H = h^2 = 0.3966/tex]
Please help me understand how to solve equations like these, I don’t understand them:
Answer:
subtract the unwanted b termdivide by the coefficient of bb = 60Step-by-step explanation:
The numbers 4/5 and 9/10 are fractions. They multiply the variable 'b' in each case.
How to solve an equation like this
An example of an equation like this without fractions is ...
6 + 3b = 8b
You solve this sort of equation by rearranging the equation so the terms having 'b' in them are all on one side of the equal sign. You want all of the terms not containing 'b' to be on the other side of the equal sign.
Here, the terms are mixed on the left, but the right has only a 'b' term. So, if we can remove the 'b' term from the left side, we will have reached the goal
In the example equation, we do that by adding -3b to both sides of the equation.
6 +3b -3b = 8b -3b
Simplifying, we have ...
6 = 5b
Now, we divide by the coefficient of 'b', which is 5. We divide both sides of the equation by that:
6/5 = (5b)/5
6/5 = b . . . . after simplifying
_____
How to solve this equation
The given equation is solved exactly the same way. We add the opposite of the 'b' term that we don't want (which is 4/5b):
6 + 4/5b -4/5b = 9/10b -4/5b
Simplifying, this is ...
6 = (9/10 -4/5)b = (9/10 -8/10)b
6 = 1/10b
We can make the coefficient of 'b' be 1 by multiplying it by 10. We have to do that to both sides of the equation:
(10)(6) = (10)(1/10)b
60 = b . . . . . the solution
_____
Comment on equations in general
The one absolute rule in Algebra is that the equal sign must remain valid. You keep that commandment by observing the properties of equality. Essentially, you can do anything you like to one side of an equation, as long as you do exactly the same thing to the other side.
Here, when we say "subtract 4/5b", the way we keep this commandment is that we do it to both sides of the equation. The same is true for "multiply by 10". This is emphasized by the bold highlighting in the solution shown above.
Comment on arithmetic
In solving this equation, we did the arithmetic using the given fractions. Often, for an equation like this, you will be told the first step is to "eliminate fractions". You can do that here by multiplying the equation by 10:
10(6 +4/5b) = 10(9/10b)
60 +8b = 9b
Now, the unwanted term is 8b, so subtracting that (from both sides) gives ...
60 = b
This is essentially a "2-step" equation, either way you do it.
It is helpful if you are comfortable doing arithmetic with fractions, mixed numbers, decimals, percentages, and numbers in scientific notation, as well as integers.
is y = x/9 a direct variation
Question 3
Now select point A, B, or D on the line segment and move the point while keeping the order of A, B, C, and
between the lengths of the line segments change?
В І о
x?
BE
X
Font Sizes
A-
А -
:
Characters used: 0 / 15000
Answer:
The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.
Step-by-step explanation:
this is the exact answer word for word, so id recommend to put it in your own words
ex. when i move one point the other points move so the lengths stay equal to each other
Answer:
The relationship between the lengths of the line segments doesn't change. In all the cases, AB = CD and AC = BD.
Step-by-step explanation:
PLATO answer.
Help me with this question please
This is a two-part question: A 12-pack of bottled mineral water sells for $3.85. For the following,
state whether to use multiplication or division for the specified amount:
a) The cost of one bottle of water:
b) The cost of four 12-packs of water:
Answer:
The cost of one water bottle of water would be division, The cost of four 12-packs of water is multiplication.
Step-by-step explanation:
What is the area of this figure?
14 cm
10 cm
12 cm
1
cm
3 cm
1 cm
OA. 46 sq cm
OB. 44 sq cm
OC. 62 sq cm
OD 38 sq cm
According to the rules of significant figures:
20x20 = 400
A.true
B. False
Answer:
True
Step-by-step explanation:
Ovious surely it is true
Answer:
Answer is true
:)
Which number is the greatest?
O 1.2
O 1.3
O 1.235
O 1.003
Answer:
bStep-by-step explanation:
Answer:
b
Step-by-step explanation:
go it right on edge
Solve and show your work.
What is 3/4 of 1/2?
3/4 of 1/2
⚠️REMEMBER IN MATH THE WORD *OF* STANDS FOR MULTIPLICATION⚠️
so 3/4 x 1/2
when multiplying two fractions, we multiply the numerators together and the denominators together
(3 x 1) / (1 x 2)
that is
3/8
so 3/4 of 1/2 is 3/8
Hope this helps :)
[tex]\frac{3}{4} *\frac{1}{2}[/tex]
In 2003 the population of an African country was about 22.6 million people, which is 3 million more than 4 times the population in 1950. Enter and solve an equation to find the approximate population
Answer:
4p + 3= 22.6
There hope this helps you
1/4 ÷ 5/6 = 1/a x b/c
a=4 b = 5 c=6
a=1 b=6 c=5
a=1 b=6 c=5
a=4 b=6 c=5
Answer:
this
answer
will
be
in
your
book
Which line is parallel to the line 8x + 2y = 12?
Help ASP please!!!
To be parallel must the slope of the lines equal to each other.
_________________________________
[tex]8x + 2y = 12[/tex]
[tex]2y = - 8x + 12[/tex]
[tex]y = - 4x + 6[/tex]
_________________________________
From left to right ;
1) The slope-intercept form is :
[tex]y = 4x + 4[/tex]
Which means the slope = 4
Look : 4 ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
2) The slope-intercept form is :
[tex]y = - \frac{1}{4}x + \frac{3}{4} \\ [/tex]
Which means the slope = -¼
Look : -¼ ≠ -4 thus this is not the answer.
+++++++++++++++++++++++++++++++++++++++
3) The slope-intercept form is :
[tex]y = - 4x - 6[/tex]
Which means the slope = -4
Look : -4 = -4 thus this is the answer.
+++++++++++++++++++++++++++++++++++++++
4) The slope-intercept form is :
[tex]y = \frac{1}{4}x + \frac{11}{4}\\ [/tex]
Which means slope = ¼
Look : ¼ ≠ -4 thus this is not the answer.
_________________________________
And we're done...
♥️♥️♥️♥️♥️
I need help with this
9514 1404 393
Answer:
B. 3x^2 +11x -20 = 0
Step-by-step explanation:
For solutions p and q, the quadratic will be
(x -p)(x -q) = 0
We notice that the leading coefficients of the offered answer choices are greater than 1, so it will be convenient to use a value that "clears fractions."
(x -4/3)(x -(-5)) = 0
3(x -4/3)(x +5) = 0 . . . . multiply by 3 to clear the fraction
(3x -4)(x +5) = 0 . . . . . . clear the fraction
3x(x +5) -4(x +5) = 0 . . use the distributive property
3x^2 +15x -4x -20 = 0 . . . . use the distributive property again
3x^2 +11x -20 = 0 . . . . collect terms
_____
The constant in the product of factors is the product of roots:
(x -p)(x -q) = x^2 -(p+q)x +pq
Here, that would mean the constant would be (4/3)(-5) = -20/3.
If we compare the above quadratic to the standard form:
ax^2 +bx +c = 0
we find that we can divide the standard form equation by 'a' to get ...
pq = c/a
That is, c/a = -20/3, so we might start looking for an answer choice that has a leading coefficient of a=3 and a constant of c=-20.
Find the slope containing the two points (2,-1) and (4,-4)
Answer:
-5/2
Step-by-step explanation:
You have to take y2-y1 and divide it by x2-x1
What is the value of the expression shown below?
(2/3)²+5×2-4
Answer:
6 4/9
Step-by-step explanation:
Sorry if it’s a little messy.
Maths is hard but we can do this!
The coordinates of point T are (0, 5) . The midpoint of overline ST is (1, - 2) . Find the coordinates of point S
Plz hurry if u can!!!
The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)
Given that:
[tex]T(x_1,y_1) = (0,5)[/tex]
[tex]M = (1,-2)[/tex] --- the midpoint of ST
[tex]S = (x_2,y_2)[/tex]
To calculate the coordinates of S, we use the following midpoint formula:
[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]
Divide both sides by 0.5
[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]
[tex](2,-4) = (x_2,5 + y_2)[/tex]
Compare both sides
[tex]x_2 = 2[/tex]
[tex]5 + y_2 = -4[/tex]
Collect like terms
[tex]y_2 = -4-5[/tex]
[tex]y_2 = -9[/tex]
Hence, the coordinates of S is:
[tex]S = (2,-9)[/tex]
Read more about midpoints at:
https://brainly.com/question/8943202
Find the value of x, y and z. Round to the
nearest whole number.
Hello!
We can say that:
x = 35y = 18z = 13Let's go!Calculate x, knowing that angles opposite the vertex have the same value: ↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
4x - 21 = 2x + 74x - 2x = 7 + 212x = 28x = [tex]\dfrac{28}{2}[/tex] x = 14To know the value of y, just calculate when the angle 4x - 21 ° is worth, as we already have the value of x. Then just do another equation.
4.14 - 2156 - 21 35Now, we calculate:
6y + 37 + 35 = 1806y + 72 = 1806y = 180 - 726y = 108y = [tex]\dfrac{108}{6}[/tex] y = 18Now, we calculate z:
180 - 35 → (35 is the value of 4x - 21 angle, and the adjacent angle of 2x + 7 is same to 10z + 15)= 145Now, we calculate:10z + 15 = 14510z = 145 - 1510z = 130z = [tex]\dfrac{130}{10}[/tex] z = 13Is important stand out what the draw isn't in the correct scale.
Hope this helps!!!! Good studies! ☺
What are the slope, m, and y-intercept, b, of a line that passes through the points
(3,-1) and (7,-5)?
Answer:
Slope would be m= -1, y-int is 2.
Step-by-step explanation:
To find slope, use (y2-y1/x2-x1) Plugging this in, we get (-5-(-1)/(7-3). This can be simplified to -4/4, which is -1. After we find slope, we plug in one of the points to find be. Using (7,-5), y=-5 and x=7. So, -5=7(-1)+b. -5=-7+b. Add 7 to both sides, b=2. Therefore, the entire equation is y=-x+2.
Answer:
The answer is 1
Step-by-step explanation:
use slope formula!
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
3 is xsub1
-1 is ysub1
7 is xsub2
-5 is ysub2
substitute and solve!
[tex]m= \frac{-5-(-1)}{7-3}\\= \frac{-5+1}{4}\\= \frac{-4}{4}\\= -1[/tex]
slope is 1
hope this helps!
please hurry i need these fast
Answer:
Is option 1 hope this helps
12 more than (-17) is
A. 29 B. -29 C. -2 D. -5
Answer: D. -5
Step-by-step explanation:
Imagine you are $17 in debt.
You earn $12.
Now you are only $5 in debt.
What is the quotient of 3.496x10^9 x 3.8 x 10^5 In scientific nation ? Please help
3496000000
380000
2Step-by-step explanation:
Is this the rights answer ??
HURRy due at 11:59
What is 4-2x=6
I NEED HELP ASAP!!
Answer:
1
Step-by-step explanation:
the +4 turns into -4
6-4=2 the (+4-4 on the left would cancel out)
-2x/2 would cancel out as well
2 divided by 2 = 1
you could have used a scientific calculator on google (for future reference)
Answer: i think x= 1
Step-by-step explanation:
4-2x=6
2x=6-4
2x=2/2
x=1
There are 39.37 inches in 1meter. Tell whether the statement is true or false
Answer:
False
Step-by-step explanation:
This is false because 1 meter has 36 inches.
Answer: True
Step-by-step explanation:
Meters Inches
1 m 39.37 in
2 m 78.74 in
3 m 118.11 in
4 m 157.48 in
HELPPP I GIVE BRAINLIEST FOR THIS ANSWER PLSSS
Answer:
Yes
Step-by-step explanation:
The lines in question have no degree angle to them. Don't let the line in the middle confuse you!
Hope this helps!
Determine a relationship between the x- and y-values. Write an equation.
Answer:
X increasing by one and Y decrasees by 2
The correct relation between x and y is [tex]y=x-2[/tex].
Given information:
The table showing the values of x and y is:
x 1 2 3 4
y -1 0 1 2
From the given table, it can be seen that with an increase in the value of x, the value of y also increases.
From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.
The relation between x and y can be written as,
[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]
Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].
For more details, refer to the link:
https://brainly.com/question/20632687
PLEASE HELP ME!!!
Solve the following system of equations using the elimination method.
2x + 4y = 10
–2x + y = –15
Question 9 options:
A)
(–2,7)
B)
(3,1)
C)
(8,–3)
D)
(7,–1)
Answer:
The answer is D
Step-by-step explanation: I solved by subsitution and found y=2x-15 So therefore 2x+4(2x-15)=10 and then x=7 and that was the only answer with7 as x but to check I did y=2(7)-15 and y=-1
Kamala has $90,000 in a savings
account. The interest rate is 6%
per year and is not compounded.
How much will she have in 4
months?
I WILL GIVE BRAINLIEST!!!
Answer:
Answer is after 20 miles
Step-by-step explanation:
10 +2.5x = 3x
10 = 3x-2.5x
10=0.5x
10/.5=x
x=20
At 20 miles they both have a cost of 60
Let's see what to do buddy....
____________________________
Step (1)
Express taxi charges 2.50 $ per mile.
So if each mile equals x the taxi charges 2.50 x.
There's the starting fare too.
So ;
Express taxi charges by the following function :
[tex]f(x) = 2.5x + 10[/tex]
____________________________
Step (2)
Speedy taxi charges 3 $ per mile.
So if each mile equals x the taxi charges 3x .
There's no starting fare.
So ;
Speedy taxi charges by the following function :
[tex]g(x) = 3x[/tex]
____________________________
Step (3)
To find that after how many miles is the cost of both taxi services the same , we must equal their functions.
Then solve for x .
So we have :
[tex]f(x) = g(x)[/tex]
[tex]2.5x + 10 = 3x[/tex]
Subtract the sides of the equation minus 2.5x :
[tex]10 = 0.5x[/tex]
[tex]10 = \frac{1}{2}x \\ [/tex]
Multiply the sides of the equation by 2 :
[tex]x = 20[/tex]
So after 20 miles both taxi services have the same cost.
____________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Which pairs of matrices are inverses?
Answer:
B is the answer
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
