The probability that they will have an ab/ab child is 5%
Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.
ab/ab (female) x ab/ab (male)
Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]
AB (parental)
ab (parental)
Ab (recombinant)
aB (recombinant)
The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.
Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.
P(ab/ab)= (50%) (10%) = 5%
hence the answer is 5%
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What is the value of the absolute value expression |−134| + |4| − |−35|?
Answer:
174
Step-by-step explanation:
absolute value means the distance from zero. Distance is always measured with a positive number. If you asked me how far I lived from my work, I would never say -12 miles away. If I was going or coming to work, the distance would be the same 12 miles.
134 + 4 + 35 = 174
The granite sample has a
mass of 24. 31 g and a volume
of 9. 35 cm3. What is the
density of the granite?
d = [?] g/cm3
Evaluate the expression (2+5)4
Since the 2 + 5 is in parenthesis, we do that first.
7(4) =
7 * 4 = 28
Hey there!
Assuming:
(2 + 5)(4) or (2 + 5)^4
Simplifying:
(2 + 5)(4)
= 7(4)
= 28
Simplifying:
(2 + 5)^4
= (7)^4
= 7^4
= 7 * 7 * 7 * 7
= 49 * 49
= 2,401
We’re going to assuming equation #1 in our assumption as your question.
That being said, your answer is most likely: 28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the median and mean of the data set below:
Median = 1
201
49, 16, 5, 3, 6
Mean =
The mean and the median value of the given data set is 12.62 and 6.
According to the statement
We have to find that the mean and the median of the following data.
So, For this purpose, we know that the
The mean is found by adding all of the numbers together and dividing by the number of items in the set.
And
The median is the middle number in a sorted, ascending or descending list of numbers
From the given information:
The data set are:
1,20,1, 49, 16, 5, 3, 6
Then
According mean definition,
Mean = 1+20+1+ 49+ 16+ 5+ 3+6/8
Mean = 101/8
Mean = 12.625
Then
The data set is 1,3,5,6,16,20,49.
Median = 8 terms /2
Median = 4th term
Median = 6.
So, The mean and the median value of the given data set is 12.62 and 6.
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(Precalc) NEED HELP 100PTS: (−2 ≤ x ≤ 2) f(x) = csc(x)
A. Find the intervals on which the graph of y = f(x) is increasing and the intervals on which the graph of y = f(x) is decreasing. Answer in interval notation.
Increasing: ___
Decreasing: ___
B. Find all relative extrema, if any, of the graph of y = f(x).
Relative min: ___
Relative max: ___
Thank youu!! <333
Answer:
Step-by-step explanation:
y=csc(x) x∈ [-2,2]
[tex]A.\\\displaystyle\\Increasing: \ [-2,-\frac{\pi }{2})U(\frac{\pi }{2},2]\\\\Decreasing:\ (-\frac{\pi }{2},0)U(0,\frac{\pi }{2} ) \\\\B.\\\\Relative\ min:\ 1\\\\Relative \ max:\ -1[/tex]
Watching the graph:
Answer:
[tex]\textsf{Increasing}:\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right][/tex]
[tex]\textsf{Decreasing}:\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)[/tex]
[tex]\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)[/tex]
[tex]\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)[/tex]
Step-by-step explanation:
Part A
Given function:
[tex]f(x)=\csc (x), \quad -2\leq x\leq 2[/tex]
[tex]\csc(x)=\dfrac{1}{\sin(x)}[/tex]
Therefore, the function f(x) is undefined when sin(x) = 0, leading to vertical asymptotes at the value of x where sin(x) = 0.
[tex]\sin(x) = 0 \textsf{ at }x = 0\pm 2 \pi n, \pi \pm 2 \pi n[/tex]
Therefore, f(x) has a vertical asymptotes at x = -2π, -π, 0, π, 2π etc.
Where the graph of the sine function increases, the graph of the cosecant function decreases.
Where the graph of the sine function decreases, the graph of the cosecant function increases.
The sine function increases on the intervals:
[tex]\left(-\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{\pi}{2}\pm 2 \pi n\right)[/tex]
and decreases on the intervals:
[tex]\left(\dfrac{\pi}{2}\pm 2 \pi n, \dfrac{3\pi}{2}\pm 2 \pi n\right)[/tex]
Therefore, for the interval -2 ≤ x ≤ 2, the cosecant function f(x):
Increases on the intervals:
[tex]\left[-2,-\dfrac{\pi}{2}\right) \textsf{ and }\left(\dfrac{\pi}{2},2\right][/tex]
Decreases on the intervals:
[tex]\left(-\dfrac{\pi}{2}, 0\right) \textsf{ and }\left(0, \dfrac{\pi}{2}\right)[/tex]
Part B
The relative minimums of the graph of the sine function are the relative maximums of the graph of the cosecant function.
The relative maximums of the graph of the sine function are the relative minimums of the graph of the cosecant function.
The sine function has a range of -1 ≤ sin(x) ≤ 1.
Therefore, its minimum points are when sin(x) = -1 and its maximum points are when sin(x) = 1.
[tex]\sin(x)=-1 \implies x=\dfrac{3\pi}{2}\pm 2 \pi n \implies \textsf{Minimum points}: \left(\dfrac{3\pi}{2}\pm 2 \pi n ,-1 \right)[/tex]
[tex]\sin(x)=1 \implies x=\dfrac{\pi}{2}\pm 2 \pi n \implies \textsf{Maximum points}: \left(\dfrac{\pi}{2}\pm 2 \pi n,1 \right)[/tex]
Therefore, the minimum and maximum points of the cosecant function in the given interval -2 ≤ x ≤ 2 are:
[tex]\textsf{Relative min}: \left(\dfrac{\pi}{2},1 \right)[/tex]
[tex]\textsf{Relative max}: \left(-\dfrac{\pi}{2},-1 \right)[/tex]
Note in the attached graph:
The given interval -2 ≤ x ≤ 2 is shown shaded in green.Vertical asymptotes are shown as red dashed lines.Function f(x) is the black curve.The sine function is the blue dashed curve.Relative min/max shown as black points.tom do this one too.
Answer:
x=36
y=144
Step-by-step explanation:
ABD=2x
z rule
BDE=2X
therefore 2x+3x=180
5x=180
x=36
solving for y
180-y+2x+2x=180
y=4x
y=4(36)
y=144
the number of questions marked incorrect on a statistics midterm, y, is dependent on the pages of notes a student wrote over the semester, x, and can be modeled by the function y(x)
The another point is (2,23) of the function y(x).
What does regression analysis mean?
Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression.The given Regression is -
y (X) = 30 - 3. 5 x .......................(1)
now when x = 0 , y(x) = 30 ..........................(1)
thus , y- intercept = 30
one point is ( 0 , 30 )
Again taking x = 0 we get
y(x) = 30 - 3. 5 x 2 by (1)
y(X) = 23
Thus the another point is (2,23).
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There are 48 trees at the park. ¼ of the trees are oak trees. How many oak trees are at the park
Answer:
12 oak trees
Step-by-step explanation:
1/4 of 48 =12
What is the surface area of a igloo with a 20 ft. diameter
The surface area of a igloo with a 20 ft. diameter is [tex]628ft^{2}[/tex]
According to question statement, we are supposed to find the surface area of an igloo with a 20ft. diameter.
Before solving this question, we should be aware of the fact that an igloo is of a Hemispherical shaped object usually made up of ice.
So for finding out area of igloo we find the surface area of of the hemisphere.
Curved Surface area : [tex]2\pi r^{2}[/tex]
Total Surface area: [tex]3\pi r^{2}[/tex]
where r is the radius of igloo.
Radius is half of the diameter therefore [tex]r=\frac{diameter}{2}[/tex]
[tex]r=\frac{20ft}{2} \\r=10ft[/tex]
Therefore radius is 10 ft.
Curved Surface Area: [tex]2*3.14*10^{2} =628ft^{2}[/tex]
Total Surface Area: [tex]3*3.14*10^{2} =942ft^{2}[/tex]
But as we are supposed to find the surface area therefore the answer is [tex]628ft^{2}[/tex].
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1. solve 2r = 5s/2 - s/4 for s
2. If r =9/2, find s
1. Solve w = x/y - z solve for x
2. If w = -8 y = -5 z = 6 find x
Answer:
[tex]\textsf{1.} \quad s=\dfrac{8r}{9}[/tex]
[tex]\textsf{2.} \quad s=4[/tex]
[tex]\textsf{1.} \quad x=y(w+z)[/tex]
[tex]\textsf{2.} \quad x=10[/tex]
Step-by-step explanation:
Question 1
1. Solve for s:
[tex]\implies 2r = \dfrac{5s}{2}-\dfrac{s}{4}[/tex]
[tex]\implies 2r = s\left(\dfrac{5}{2}-\dfrac{1}{4}\right)[/tex]
[tex]\implies 2r = s\left(\dfrac{10}{4}-\dfrac{1}{4}\right)[/tex]
[tex]\implies 2r = s\left(\dfrac{9}{4}\right)[/tex]
[tex]\implies 4(2r) = 9s[/tex]
[tex]\implies 8r = 9s[/tex]
[tex]\implies s=\dfrac{8r}{9}[/tex]
2. When r = ⁹/₂ :
[tex]\implies s=\dfrac{8\left(\frac{9}{2}\right)}{9}[/tex]
[tex]\implies \dfrac{8}{9} \times \dfrac{9}{2}[/tex]
[tex]\implies \dfrac{8 \times9}{9 \times2}[/tex]
[tex]\implies s=\dfrac{72}{18}[/tex]
[tex]\implies s=4[/tex]
Question 2
1. Solve for x:
[tex]\implies w=\dfrac{x}{y}-z[/tex]
[tex]\implies w+z=\dfrac{x}{y}[/tex]
[tex]\implies y(w+z)=x[/tex]
[tex]\implies x=y(w+z)[/tex]
2. When x = -8, y = -5, z = 6:
[tex]\implies x=-5(6+(-8))[/tex]
[tex]\implies x=-5(6-8)[/tex]
[tex]\implies x=-5(-2)[/tex]
[tex]\implies x=10[/tex]
22×2÷3÷4 how much is it?
Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?
Explain what is meant by confounding. what is a lurking variable? what is a confounding variable?
Answer:
A Confounding is the variable that is considered in a research study, and could overall influence the relations between the variables in the study. For example, students wanting to join AP English next semester were told to write a six page essay. When the students turned in their papers and teachers say the difference and grades they believed that the variable was the time that the students handed in the paper. They thought that if the student handed in their paper later than another student that they would receive a lower score, but this was not the case. When asking the students how they prepared for the paper, students replied with different answers. Those who outlined and used other literature for reference scored much higher than those who only used prior knowledge to write their essays. In this study, the lurking variable would be the presence of an outline.
Lurking variable: A variable that is not considered in a research study that could influence the relations between the variables in the study
Confounding variable: A variable that is considered in a research study that could influence the relations between the variables in the study
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176.912 round off to the closest integer.
Answer:
177
Step-by-step explanation:
An integer is a negative or positive whole number. any number greater or equal to 5 you round up the the nearest whole number
Hope this helps.
"decimals are not included in the set of integers." with this information you can infer that you need to round to the nearest whole number, therefore 176.912 would be round to 177 because the decimal in the tenth place is 5 or above (9) so you round UP.
Which one is correct
All rhombus are parallelograms, parallelogram have exactly two pairs of parallel lines, therefore all rhombus have exactly two pairs of parallel lines, so option A is correct.
What is parallelogram?
A unique kind of quadrilateral created by parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but for it to be a parallelogram, its opposite sides must be parallel.
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. Every rhombus is a parallelogram because its opposite sides are all parallel. But all parallelograms cannot be rhombus as a rhombus have all sides equal.
Both a square and a rhombus have equal numbers of sides. The square's diagonals are also perpendicular to one another and divide the opposing angles. A square is a rhombus as a result.
Thus, all rhombus are parallelograms as they have one pair of parallel sides.
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a. what fraction of the total goal distance did sarah run? b. tori ran 2 −3 of the total goal distance. who ran farther – sarah or tori?
The total goal distance Sarah run is 7/8.
The distance covered by Sarah is found to be more than Tori.
What is the exponents?A number's exponent indicates what many times a number has been multiplied by itself. For instance, 2×2×2×2 can be composed as 2⁴.
If a fraction does have a negative exponent, we take its reciprocal to make this same exponent positive.
If a fraction does have a negative exponent, we take its reciprocal to create the exponent positive.
Some properties of exponents are-
Law of Product: [tex]a^m \times a^n=a^{m+n}[/tex]Law of Negative Exponent: [tex]a^{-m}=1 / a^m[/tex]Law of Power of a Power: [tex]\left(a^m\right)^n=a^{m n}[/tex]Law of Power of a Product: [tex](a b)^m=a^m b^m[/tex]Law of Quotient: [tex]a^m / a^n=a^{m-n}[/tex]Now, as pet the given question;
Tori has covered 2⁻³ of the total distance;
Thus, it can be written as;
= 1/2³
= 1/8
Lets consider the total distance covered by both of them is 1.
Then, the distance covered by Sarah will be;
= 1 - 1/8
= 7/8
Thus, the distance covered by Sarah is 7/8.
As, 7/8 > 1/8
Therefore, the distance covered by Sarah is more than Tori.
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on the next play, the team gained 5 yards and then lost 6 yards. what is the total change in yards? 5- blank
= 5 + blank
= blank
help me schools tomorrow
What transformation would take triangle ABD to A’B’D ( translation, reflection , or rotation ) ?
Answer: Rotation
Step-by-step explanation:
5 6 7 8 9 10
TIME REMAINING
10:31
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:D) the sum is a binomial with a degree of 6
Step-by-step explanation:
Diferencia entre álgebra y aritmética
Find the measure of the missing angles.
55°
X
y
Answer:
x = 35° , y = 125°
Step-by-step explanation:
y and 55° lie on the straight line and sum to 180° , that is
y + 55° = 180° ( subtract 55° from both sides )
y = 55°
x and 55° form a right angle and sum to 90° , that is
x + 55° = 90° ( subtract 55° from both sides )
x = 35°
Which is an equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power end quantity?
really need help pleeease
An equivalent expression for 4 times d raised to the negative third power all over quantity 22 times d raised to the ninth power is 2d⁻³/11d⁻⁹
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
What is an exponent?An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.
Translating the word problem into an algebraic expression, we have;
4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³
22 times d raised to the ninth power = (22 × d)⁻⁹ = 22d⁻⁹
Next, we would write the equation as a quotient:
Expression = 4d⁻³/22d⁻⁹
Expression = 2d⁻³/11d⁻⁹
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3. What is an equation of the line in slope intercept form? (1 point)
A.y=2x-2
B.y=-2x-2
C.y=-2x+2
D.y=2x+2
Answer:
C. y = 2x + 2
Step-by-step explanation:
There are 2 points on the line (0,2) and (-3,-4)
from (-3,-4) to (0,2), rise over run is 6/3 so slope is 2
You can calculate it too
m = (y2-y1)/(x2-x1)
m = (-4 - 2)/(-3 - 0) = -6/-3 = 2
Using m = 2, x = 0, y = 2
y = mx + b
2 = 2(0) + b
b = 2
therefore
y = 2x + 2
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answer:
-1
Step-by-step explanation:
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (-1 - 4)/(2 - (-3)) = -5/(2 + 3) = -5/5 = -1
On a highway a wreck occurred and caused a 8 mile
traffic jam on one side of the road. The average car is
13.5 feet in length and the average truck is 20 feet in
length. 75% of the traffic jam consists of cars and 25% of
trucks. If the average distance between vehicles is 3 feet,
how many vehicles are stuck in the traffic jam?
Answer:
1647
Step-by-step explanation:
Given the following information:
Length of traffic = 8 miles
Average Length of vehicles on the road :
Cars = 14.5 feets
Trucks = 21 feets
18 Wheeler tractor = 73 Feets
% distribution of the different vehicles :
Cars = 70% = 0.7
Trucks = 20% = 0.2
18 wheeler tractor = 10% = 0.1
Distance between vehicles = 4feets
Number of vehicles stuck in the traffic :
Let number of vehicles = v
Summation of (number of vehicles * length of each vehicle) + distance between each vehicle = Length of traffic
Total distance between each vehicle = 4(v-1)
(0.7v * 14.5) + (0.2v * 21) + (0.1v * 73) + 4(v - 1) = 8 miles
1 mile = 5280
8 miles = (5280 * 8) = 42,240
10.15v + 4.2v + 7.3v + 4v - 4 = 42240
25.65v = 42240 + 4
25.65v = 42244
v =42244 / 25.65
v = 1646.939
v = 1647.
Please answer & explain how the answer was found
Answer: GEF = 30 DEF = 40
Step-by-step explanation: By angle summation we know the entire angle
GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:
2x + 10 + 5x - 10 = 70
From here we can combine like terms:
7x = 70
and solve for x
x = 10
Then we can plug the value of x back into the equations given to solve for GEF and DEF
GEF:
2x+10 == 2(10)+10 = 30
DEF:
5x-10 == 5(10)-10 = 40
what do you notice about absolute 6 and -6
Answer: they have the same absolute value
Step-by-step explanation: -6 and positie 6 are both 6 units from zero
PLEASE HELP ME!!!
WILL GIVE YOU A FOLLOW
Find missing angles of the following
Answer:
see below
Step-by-step explanation:
angle e is a vertical angle(each of the pairs of opposite angles made by two intersecting lines.) of 114 so e=114 and angle d is the vertical angle of 22 so d=22. and finally angles d+f+e=180
114+22+?=180
?=180-114-22
?=180-136
?=44
e=144
d=22
f=44
Which statistics best describe the center and spread of the data in the histogram? which statistics best describe the center and spread of the data in the histogram? median and standard deviation mean and standard deviation median and iqr mean and iqr
A histogram is a graph that shows the frequency of numerical data using rectangles.
A set of quantitative data with varying values may be shown as a list or a data display.
Center and spread are ways to describe data sets like this.
Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
The mean is useful for describing the center of data with similar values.
The mean is the average value.
mean = sum of values / number of values
A histogram is a graph that shows the frequency of numerical data using rectangles.
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Ella's bait and tackle shop sold 128,107 live worms in april and 102,278 live worms in may to the nearest thousand how many worms did ella's bait and tackle shop sell in april and may together
Ella's bait and tackle shop sells 230,385 in April and May.
Based on the given conditions, formulate:
Bait and tackle sold in 128,278 live worms in April
Bait and tackle sold in 102,278 live worms in May
So the total number of Bait and tackles sold in April and May =
=128,107+102,278
= 230,385
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