Using the binomial distribution, it is found that there is a 0.011 = 1.1% probability that exactly one of their four children will have that trait.
For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]
[tex]C_{n,x}=\frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
85% probability of a children having the trait, hence [tex]p=0.85[/tex].They have four children, hence [tex]n=4[/tex]The probability is P(X = 1), hence:
[tex]P(X=x)=C_{n,x.}p^x.(1-p)^{n-x}[/tex]
[tex]P(X=1)=C_{4,1*}(0.85)^1.(0.15)^3=0.011[/tex]
0.011 = 1.1% probability that exactly one of their four children will have that trait.
A similar problem is given at https://brainly.com/question/24863377
Find all common factors of ...
128 and 129
Answer:
1
Step-by-step explanation:
The only common factor is one. If an odd number and and even number are next to each other, and you are calculating the common factors, the common factor is one.
Which of the following is an arithmetic sequence?
O A. -2,3, 8, 13, 18,...
O B. 1,1, 2, 3, 5, 8, ...
O C. 4,-4, 4, -4, 4, ...
O D. 1, 1/2,1/4,1/16
Write the answer in simplest form
Answer:
57/40
Step-by-step explanation:
So we need to find the LCD, or the least common denominator. The LCD is 40. Now, we do a transition to find the new numerator.
[tex]\frac{4}{5} =\frac{x}{40} \\\\\\frac{5}{8} = \frac{x}{40}[/tex]
The new equation is this:
[tex]\frac{32}{40} +\frac{25}{40}[/tex]
Now we use our common sense. 32+25=57
57/40.
You can't simplify this...
sally was playing checkers with a friend. The ratio of games sally won to lost was 9 : 5 if sally won 36 games, how many games did her friend win?
Answer:
20
Step-by-step explanation:
36/9 = 4
4x5= 20
In 1977, the price of a scientific
calculator was $175. In 2004, the
price was $15. Assuming the change
in price was linear, what was the
approximate price of a scientific
calculator in 1998?
First, we need to find how many years are in between 1977 and 2004:
2004-1977 = 27
And the different between the prices:
175-15 = $160
Since this is supposed to be linear, we can do 160/27 which is about 5.925.
We can round this out to be about $6 cheaper per year, or $5.90.
The slope is 3 and the line passes through point (5, 17).
Answer:
[tex]\sf y=3x+2[/tex]
Step-by-step explanation:
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
Given:
slope (m) = 3point (x₁, y₁) = (5, 17)Substituting given values into the equation to find the equation of the line:
[tex]\implies \sf y-17=3(x-5)[/tex]
[tex]\implies \sf y-17=3x-15[/tex]
[tex]\implies \sf y=3x+2[/tex]
Car A moves from (6,3) to (4,1). Car B starts at (3,5). Where will it move to if it uses the same translation as car A.
Answer:
it will move from (3,5) to (1,3)
PLEASE HELP PLEASE PLEASE
Answer:
Sublimation - is the transformation from a solid to gas.
Hope this helps!
Mary swam 3/4 mile each day for 8 days
Step-by-step explanation:
I'm assuming the question is how many miles in total did mary swim.
if this is the case then we just multiply the number of days by the number of miles per day.
Hence,
3/4 × 8 = 6
so 6 miles in total.
make sure to ask if you need any further help
Multiply the following numbers.
(-7)(-5) =
And why???
Answer: 35
Step-by-step explanation: The reason is that 7 × 5 = 35 and when you multiply two negative numbers they make the answer positive. I hope this helped!
Answer:
35
Step-by-step explanation:
7 times 5 equals 35. Even though the two numbers are positive, the product will be negative, because a negative times a negative equals a positive. A negative times a negative will equal a positive because what was originally negative has been reversed in direction.
So, the answer is 35.
hope this helps!
1. a movie Theater sold 74 tickets of these tickets. 32 Where tickets for children, and the rest where tickets for adults.
which equation should be used to determine the number of tickets that were for adults.
A. 32+a=14
B. 32a=74
C. 74a=32
D. 32-a=74
Answer:
Its d
Step-by-step explanation:
why did you delete my answer??
what is the sum of 9+10?
Answer:
19.
Step-by-step explanation:
could someone help me really quickly :(((((
#1
k=3Lets verify
kx²+5x+23x²+5x+23x²+3x+2x+23x(x+1)+2(x+1)(3x+2)(x+1)Yes verified
#2
k=4Lets verify
9x²+kx-59x²+4x-59x²+9x-5x-59x(x+1)-5(x+1)(9x-5)(x+1)Yes verified
Rule to be noted:-
If ax²+bx+c be a function
Then
b=a+cread below thanks :D
Answer:
(d) 112 m²
Step-by-step explanation:
The area of a parallelogram is given by the formla ...
A = bh . . . . . . where b is the base length and h is the height
__
Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...
A = (14 m)(8 m) = 112 m²
The area of the parallelogram is 112 square meters.
__
Alternate solution
You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.
A = 2(1/2bh) +bh
A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²
New Berlin Corporation has annual fixed costs of $800,000, variable costs of $48 per unit, and a contribution margin ratio of 40 percent.
a. Compute the unit sales price and unit contribution margin for the above product.
b. Compute the sales volume in units required for New Berlin Corporation to earn an operating income of $600,000.
c. Compute the dollar sales volume required for New Berlin Corporation to earn an operating income of $600,000.
Based on the variable costs and contribution margin, the unit sales price is $80 and the unit contribution margin is $32.
The sales volume in units needed to earn $600,000 is 43,750 units and the amount in dollar sales needed is $3,500,000.
What is the unit sales price and unit contribution margin?The unit sales price can be found as:
= Variable cost / (1 - contribution margin ratio)
= 48 / (1 - 40%)
= $80
Unit contribution margin is:
= Selling price x Contribution margin ratio
= 80 x 40%
= $32
In units, this amount is:
= (Fixed cost + income required) / Contribution margin
= (800,000 + 600,000) / 32
= 43,750 units
In dollar terms the amount needed is:
= Units needed x selling price
= 43,750 x 80
= $3,500,000
Find out more on contribution margin at https://brainly.com/question/24039258.
A dog drinks 3.5 bowls of water each day. Each bowl has 2.7 liters of water. How many liters of water does the dog drink throughout the day
Answer:
9.45 liters
Step-by-step explanation:
3.5 bowls x 2.7 liters= 9.45 total liters
i need help on this 6th grade math question:
its for 20 points
Answer:
Quadrant I.Step-by-step explanation:
Quadrant I examples:
(2, 5)(3, 4)(7, 1)Quadrant II examples:
(-1, 5)(-6, 2)(-4, 7)Quadrant III examples:
(-3, -4)(-7, -1)(-8, -5)Quadrant IV examples:
(5, -6)(1, -4)(8, -2)33
The base of a right rectangular prism has
an area of 172.5 square centimeters and
a height of 8 centimeters. What is the
volume, in cubic centimeters, of the
right rectangular prism?
A 180
B 280
C 1,280
D 1,380
3
Answer:
D 1,380
Step-by-step explanation:
V = area of base × height
V = 172.5 cm² × 8 cm
V = 1380 cm³
The radius of a circle is 11 yards. What is the circle's area?
Use 3.14 for .
Answer:
[tex]\displaystyle 380,13271108...\:yd.^2[/tex]
Step-by-step explanation:
[tex]\displaystyle {\pi}r^2 = A \\ \\ 11^2\pi = A \hookrightarrow 121\pi = A \\ \\ \boxed{380,13271108... = A}[/tex]
If you want to follow what the exercise wants, then multiplying [tex]\displaystyle 3,14[/tex]by the square of the radius will give you [tex]\displaystyle 379,94\:yd.^2.[/tex]
I am joyous to assist you at any time.
Algebra 1.
13. Write a system of linear equations that has the ordered pair (3, -5) as its solution.
Answer:
[tex]x + y = -2\\x-y=8[/tex]
Step-by-step explanation:
3 is the [tex]x[/tex], and -5 is the [tex]y[/tex].
1) Create two equations that add and subtract them.
[tex]x + y = -2\\x-y=8[/tex]
2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.
[tex]x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = \frac{10}{-2} \\y = -5[/tex]
To find [tex]x[/tex], substitute the result into one of the two equations. I choose [tex]x+y=-2[/tex].
[tex]x-5=-2\\x = -2 +5\\x = 3[/tex]
Which polygon has two sets of parallel sides?
Answer:
C
Step-by-step explanation:
C is rectangle
Rectangles have 2 sets of parallel lines
Which quadrant would each ordered pair be in?
(3,-4)
(12, 9)
(-2, 7)
(2, -5)
Answer:
A. is the correct answer.
Branliest????
Step-by-step explanation:
9+ – 12(34) + 27 = 0, A= 3*
Use substitution
Answer:
9+ – 12(34) + 27 = 0, A= 3*
Use substitutionStep-by-step explanation:
if you were to flip the coin 15, how many times will the coin land on tails based on experimental probability? jordan flipped a count of 45 times.His result are below: heads: 24 tails: 21
Answer:
It will land 7.5 times on tails, which is rounded up to 8 times
Step-by-step explanation:
there are 2 possibilities, heads or tails
so you divide 15 in 2 and get 7.5
The coin will land 7 times tail based on the experimental probability.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
When the coin tossed 45 times.
Head= 24, tail = 21
So, fraction of appearing tail will be
= 21 / 45
= 0.466667
Now, if the coin tossed 15 times then the coin land on tails
= 15 x 0.466667
= 7
Learn more about Probability here:
brainly.com/question/11234923
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taylor has saved up $300 so far and is saving $40 per week for some $900 shoes write an equation to model her savings and sketch a graph how many days will it take to save up enough money for the shoes
Answer:
the answer is 1,240
Step-by-step explanation:
you have to add them all up and you will git 1,240.hope this helps if not please let me know
A rectangle has sides that are 7 and 2/5 inches wide and 11 and 2/3 inches long. What is the perimeter of the rectangle?
Answer:
38.1333333334
Step-by-step explanation:
Perimeter of rectangle:
2 × (length + width) inches
2 × (7 2/5 + 11 2/3) inches
2 × 19.0666666667 inches
38.1333333334
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $76
Selling price: $89.83
since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.
if we take 76 to be the 100%, what is 13.83 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20[/tex]
Your bank offers a promotion where they'll give you $5 for every $100
you deposit into a savings account.
If you deposit $800, how much will the bank give you?
$45
$50
$60
$40
Answer: C. Forty dollars.
Step-by-step explanation: $5 times eight hundreds equals forty, therefore you will get $40 from the bank.
40 if u take 100 8 times then it will be 800 and You only times 8by 5 then or 5by 8
also if possible can i have brainliest
8. When solving the equation (2 - x)(x + 1) = 11, Priya graphs y=(2 - x)(x + 1) - 11 and then looks to find where the graph crosses the x-axis.
Tyler looks at her work and says that graphing is unnecessary and Priya can set up the equations 2 - x = 11 and x + 1 = 11, the solutions
are x = -9 or x = 10.
A) Do you agree with Tyler?
yes
no
Answer:
No
Step-by-step explanation:
Tyler is incorrect. The only way you can set individual terms equal to the result is when the result is zero. This is due to zero times anything equalling zero. If one of the terms equals zero, then the other term does not matter because the whole thing will be zero. Let's say:
[tex](2 - x)(x + 1) = 0[/tex]
If the first term equals zero, the entire left side is zero. For Priya's case, the right side is not zero, it is 11. If one term is 11, the other term will contribute. You can check this by plugging in Tyler's solutions. The correct way to solve this equation is to use FOIL on the two terms, then subtract 11 on both sides to get zero. Then use the quadratic formula.
You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.
Answer:
e is the amount of people
Step-by-step explanation:
4 x so let’s say you have two x you have 50% of the people that said yes.