The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.
How to calculate the probability?It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.
The father of Clara had hemophilia.
Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:
= 1/2 × 1/2
= 1/4.
Therefore, the probability is 1/4.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.
Determine the probability that the first child of clara and charles will be a boy with hemophilia.
write (4 × 10⁴) + (6 × 10²) in standard form. please help! ASAP!!!!
The standard form of (4 × 10⁴) + (6 × 10²) is 40,600.
Standard Form :Standard form is a way of writing down very large or very small numbers easily.
For finding standard form of the given equation we will solve the equation then whatever answer we will, it will be the standard form.
Let's begin by solving the roots 10 first :
(4 × 10⁴) + (6 × 10²) = (4 × 10 × 10 × 10 × 10) + (6 × 10 × 10)
= (4 × 10000) + (6 × 100)
= 40000 + 600
= 40,600
Hence the standard form of the given equation is 40,600.
To learn more about standard form visit :
https://brainly.com/question/17264364
#SPJ9
Shaine has twice as many nickels as dimes and twice as many
dimes as quarters. the total value of these coins is $2.60. how many
of each coin does shaine have?
Shine have 4 Quarters, 8 Dimes, and 16 Nickels coins.
From the given question we get the relationship between Quarters(Q), Dimes(D) and Nickle(N) in the form of ratio i.e.,
Ratio of Dime and Quarters = 2: 1 , and
Ratio of Nickle and Dime = 2:1
Therefore ratio between them,
Q : D : N = 1 : 2 : 4
Let's take Quarters to be x.
So we get the ratio as x:2x :4x
Thus, given that the total value is $2.60.
Therefore
0.25x + 0.2 (2x) + 0.05(4x) = 2.60
0.65x = 2.60
x = 4
Therefore with the ratio we get
Quarters = 4, Dimes = 8, Nickels = 16
To know more about the Linear equation refer to the link given below:
https://brainly.com/question/2030026
#SPJ4
Write these values in order, starting with the smallest.
A = 72%
B = 0.6
C = 21/25
D = 0.75
What would the transformation of f to g be described as?
f(x)=x²-3; g(x) = f(x) + 1
This transformation would be shifted vertically.
What is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
Given Data
First, we decide which library function most closely resembles the function we are given. Our function has an x² because
We'll make use of the library there.
the formula f (x) = x²
Knowing the library function we'll use presently, we need a set of
The formula h(x) = x²
(4.1)
(9,6)
(16,13)
We know the graph of h (x) will be the same as that of f (x), but pushed upward 2 units since 2 + 2 is of the form y = f (x) + c.
As a result, by taking our points from the graph of f (x) = x 2 and subtracting 3 to each of the y-values, we may generate points on the graph of h (x).
points from the f (x) = x² graph working with.
f(x) g(x)
(4,1) (4,2)
(9,6) (9,7)
(16,13) (16,14)
Thus we have obtained the graph of f(x)=x²-3; g(x) = f(x) + 1
To learn more about transformation, visit:
https://brainly.com/question/11352944
#SPJ9
geometry!! pls help asap
The statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.
What is a Rectangle?A rectangle is a quadrilateral that has four right angles, this means that two sides of the rectangle intersect each other perpendicularly to form right angles.
Thus, the slope of each pair of sides that intersect perpendicularly equals -1.
Therefore, for polygon ABCD to be a rectangle, we must prove that each pair of intersecting sides that meet have a a slopes that gives -1 when multiplied together. If the product of their slopes is not equal to -1, then the polygon is not a rectangle.
Conclusively, the statement that proves that polygon ABCD is not a rectangle is: C. Slope of AD × slope of AB ≠ -1 and slope of BC × slope of AB ≠ -1.
Learn more about the rectangle on:
https://brainly.com/question/22918953
#SPJ1
Find a and b if
(a,2+3b)=(-2,8)
Carson works in a department store selling clothing. He makes a guaranteed salary of $450 per week, but is paid a commision on top of his base salary equal to 15% of his total sales for the week. How much would Carson make in a week in which he made $1575 in sales? How much would Carson make in a week if he made a dollars in sales?
Carson will make $686.25 in a week.
This problem can be solved by using percentage.
Percentage is the measure of a quantity with respect to its whole.
Given, the total salary of Carson in a week is = $450
Also he gets a commission of 15% on making sales for a week.
In a week he makes a sales of $1575.
Commission for this week = 15% of 1575
= $236.25
Total salary for this week = 450+236.25
= $686.25
So, Carson will receive the above amount in a week as his salary.
To learn more about percentage visit the link:
https://brainly.com/question/28269290
#SPJ9
determine the number of solutions of this equasion. show your work and explain your reasoning. 7x+5=2(4x+3)
Answer:
X = -1
Step-by-step explanation:
1. expand the right side of the equation
8x + 6
7x + 5 = 8x + 6 should look like this
2. minus 7x on both sides
5 = 1x + 6 should look like this
3. minus 6 on both sides
-1 = 1x should look like this
4. divide by 1 from the x on both sides
-1 = x this is the only answer for this equation
a family of three has a coupon for $5 off their total bill when everyone orders the same meal. the family has $40 to spend on a dinner. write an inequality that represents the amount of money that their meal could cost.
|3j-1|+6>0? Pls help I’m confused
Answer:
j has infinite solutions
Step-by-step explanation:
|3j-1|+6>0
|3j-1|+6-6>0-6
|3j-1|>-6 ==> all absolute value functions are greater than negative values
Hence, j has infinite solutions.
Set up an inequality for this situation below. Define your variable, but do not solve.
Mr. Bass charges his music students $25 per lesson plus a recital fee of $50. How many lessons can a student take if they pay no more than $175?
Please give an explanation! Need help asap!
The inequality that models the situation is $50 + n*$25 ≤ $175 with that, we can see that the student can take, at most, 5 classes.
How to write the inequality?
Here we know that Mr. Bass chares his students $25 per lesson, plus a fixed fee of $50.
Then if you attend to n of his classes, the total amount that you need to pay is:
$50 + n*$25
If you want to pay no more than $175, then we can write the inequality:
$50 + n*$25 ≤ $175
Now we want to solve that inequality for n.
$50 + n*$25 ≤ $175
n*$25 ≤ $175 - $50
n*$25 ≤ $125
n ≤ $125/$25 = 5
So the student can take, at most, 5 classes.
If you want to learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
how do we do this question?
The zeros of p(x)=x2-1 is:
1,-1
I’m confused on this!
Answer:
V=144cm³
Step-by-step explanation:
V=?
r=4cm
h=9cm
pi=3
V= pi*r²h/3
V=3*4²*9/3
V=3*16*9/3
V=144cm³
Which equation could represent the data in the table?
Answer: The Answer is A.
Step-by-step explanation:
Use the equation y = -1/2х-3 for questions 1 and 2.
1. What is the form of this linear equation?
2.rewrite this equation in standard form.
The equation is in slope intercept form.
The standard form is 1 / 2 x + y = 3
How to represent linear equation?Linear equation can be represented in different form. It can be written in slope intercept form and standard form.
The slope intercept form is as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the linear equation y = - 1 / 2 x - 3 is represented in slope intercept form.
A linear equation in standard form is express as follows:
Ax + By = C
where
A, B and C are constant.
Hence, the equation y = - 1 / 2 x - 3 in standard form is as follows:
1 / 2 x + y = 3
learn more on linear equation here: https://brainly.com/question/13791588
#SPJ1
I NEED ANSWERS ASAP PLEASE THIS IS DUE TODAY I HAVE A FAT F IN THIS CLASS
Answer:complementary
Step-by-step explanation:
I think 4 is complementary angles as complementary angles add up to 90 degrees
But about the rest I hope this help I am also not too sure about my answer either
Find the range of the data set shown in the table below.
Data Set A
1.76
1.47
1.89
0.84
1.72
Answer:
1.05
Step-by-step explanation:
range is the difference between the maximum value and minimum value
thus, range = 1.89-.84=1.05
A baseball is thrown up in the air. The table shows the heights y( in feet) of the baseball after x seconds. Write and solve an equation to determine how long the ball is above 10 feet. How long is the ball in the air?
According to the solving equation the ball will be in the air for:
5.3 seconds
What is a linear equation in mathematics?A linear equation is an algebraic equation of the form y=mx+b, including only a constant and a first-order (linear) component, where m is the slope and b is the y-intercept. The preceding is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
According to the given data:y = ax2 + bx + c
When:
x = 0 , y = 6
y = a(0)2 + b(0) + c = 6
c = 6
When x = 2, y = 22
a(2)2 + b(2) + 6 = 22
4a + 2b = 16
On dividing the entire equation by 2,
2a + b = 8 → (1)
When x = 4, y = 22
a(4)2 + b(4) + 6 = 22
16a + 4b + 6 = 22
16a + 4b = 16
On dividing the entire equation by 4,
4a + b = 4 → (2)
Subtracting (1) from (2)
2a = -4
a = -2
b = 4 - 4(-2) = 4 + 8
b = 12
y = -2x2 + 12x + 6
y = -2x + 12x + 6
Solve the equation.
On solving using quadratic formula,
x = (-12 ± √(144 - 4*-2*6) ) / -4
x = (-12 ± 13.8564) / -4
x ≈ -0.46 and x ≈ 6.46
The ball is above seconds
-2x2 + 12x + 6 = 10
2x2 - 12x + 4 = 0
On solving the above equation using quadratic formula,
x ≈ 0.354 and x ≈ 5.646
So, the ball is above 10 feet for about,
5.646 - 0.354 = 5.3 seconds
5.3 seconds
According to the solving the ball will be in the air for:
5.3 seconds
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ9
You have four sweaters, five pairs of pants, and three pairs of shoes. how many different combinations can you make, wearing one of each? explain your answer. a. 4 times 5 3 = 23 b. 4 times 5 = 20 c. 4 times 5 times 3 = 60 d. 4 5 3 = 12
Answer: 60
Step-by-step explanation:
Step 1: In order to find the answer to this question we need to figure out what the total number of combinations we could make.
Step 2: To figure out the total number of combinations multiply each number. 4x5x3= 60.
Step 3 (explanation): The answer is 60, because we are finding out the total combinations for both the sweaters and pants and the shoes.
How many years would it take to make $1,000,000? Justify your answer.
WILL GIVE BRAINLIEST
Graph the function f(x) = 12(0.96)x. Does this function show growth or decay? What is the equation of the asymptote?
Growth; y = 0
Growth; y = −12
Decay; y = 0
Decay; y = −12
The function shows a decay and the equation of the asymptote is y = 0
How to graph the function?The equation of the function is given as
f(x) = 12(0.96)^x.
Next, we plot the graph of the function f(x) = 12(0.96)^x
See attachment for the graph of the function f(x) = 12(0.96)^x
Does this function show growth or decay?From the attached graph, we can see that the values of the graph decreases as x increases.
This represents a function decay
What is the equation of the asymptote?To do this, we set the rate to 0
So, we have
y = 12 * 0
Evaluate
y = 0
Hence, the equation of the asymptote is y = 0
Read more about exponential functions at
https://brainly.com/question/11464095
#SPJ1
At what position on the number line is the red dot located?
it is possisend at 6 and 2/3
Answer:
√43.
Step-by-step explanation:
It is at approximately 6.6
6.6^2 = 43.56
so, the answer is √43.
For each pair of functions, find f(g(x)) and g(f(x)) .
f(x)=3 x, g(x)=x²
A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.
The value of g(3x) = 9x.
What is meant by composition function?In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.
Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.
Let the two functions be f(x) = 3x and g(x) = x²
f(g(x)) = f(x²)
f(x²) = 3x²
simplifying the above equation, we get
g(f(x)) = g(3x)
g(3x) = (3x)²
g(3x) = 9x
Therefore, the value of g(3x) = 9x.
To learn more about composition function refer to:
brainly.com/question/10687170
#SPJ4
Read each question. Then write the letter of the correct answer on your paper.Solve 7 x²+196=0 for x .
(F) pm 4 i√7 (G) pm 4 √7 (H) pm 2 i √7 (I) pm 2√7
The value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.
We are given the equation as:
7 x² + 196 = 0
We need to solve the equation to find the value of x.
Subtracting 196 from both the sides, we get that:
7 x² + 196 - 196 = 0 - 196
7 x² = - 196
Now divide both the sides by 7, we get that:
7 x² / 7 = - 196 / 7
x² = - 28
Square root both the sides, we get that:
x = √ - 28
Using the properties of complex numbers, we get that:
x = ± 2 i√7
Therefore, we get that, the value of x in the equation 7 x² + 196 = 0 will be ± 2 i√7.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ4
A recipe calls for 3 3/ 5 cups of kidney beans and 2 2/3 cups of diced tomatoes. if the recipe is multiplied by 2 1/2, how much of the mixture will there be?
Answer:
There will be 15 2/3 cups in the mixture.
Step-by-step explanation:
3 3/5 + 2 2/3 = 3 9/15 + 2 10/15 = 5 19/15
= 6 4/15
6 4/15 × 2 1/2 = 94/15 × 5/2 = 47/3 = 15 2/3
So there will be 15 2/3 cups in the mixture.
what is (2x+3) + (7x-1)
Answer:
9x + 2
Step-by-step explanation:
(2x + 3) + (7x - 1)
2x + 3 + 7x - 1
9x + 2
I hope this helps!
Factor this expression.
4x-20
OA. 4(x-6)
OB. 4(x-10)
OC. 4(x - 5)
OD. 4(x-16)
Answer:
x-5
Step-by-step explanation:
You need to make 4x into a singular x. To do that divide the whole equation by 4 which is 1x or which is just x. Make sure to divide the -20 which is -5 making the whole equation x-5
Afternselling 328 stickers, John had 857 stickers left. How many stickers did John have at first
Answer:
529
Step-by-step explanation:
Answer: 1185
Step-by-step explanation: add 328 and 857
Solve the math problem
Answer:
either 6 or 5
Step-by-step explanation:
median is the middle of the listed numbers
When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11. What is the probability that the next game Andrew bowls, his score will be between 86 and 106, to the nearest thousandth?
When Andrew goes bowling, his scores are normally distributed with a mean of 115 and a standard deviation of 11 . Then the probability of his score being between 86 and 115 is 0.2047
Mean = μ = 115
SD = σ = 11
Let x1 be the first data point and x2 the second data point
We have to find the z-scores for both data points
x1 = 86
x2 = 106
So,
Z1 = ( x1- mean)/ SD
= 86- 115 / 11
= -29/11
= -2.6363
Z2 = ( x2-mean)/SD
= 106 -115 /11
= -0.8181
And We have to find area to the left of both points then their difference to find the probability.
So, Area to the left of z1 = 0.00427
Area to the left of z2 = 0.20897
Probability to score between 135 and 167 = z2-z1 = 0.20897-0.004270
= 0.2047
Hence,
The probability of his score being between 86 and 115is 0.2047
learn more about of probability here
https://brainly.com/question/19245344
#SPJ4