a) probability that a randomly selected resident has red hair is 0.16
b) probability that a randomly selected resident has brown or black hair is 0.67
c) probability that a randomly selected resident does not have blonde hair is 0.8.
P(black hair color) = 0.17
P (Brown hair) = 0.47
P (blonde hair) = 0.20
a) Probablity that a randomly chosen resident has red hair is:
P(red hair) = 1 - P(black hair) - P(brown hair) - P(blonde hair)
=> 1 - 0.17 - 0.47 - 0.20
=> 0.16
b) P(brown hair) + P(black hair) is the likelihood that a randomly chosen resident has brown or black hair (black hair)
= 0.47 + 0.20
= 0.67
c) The Probability that a randomly chosen resident does not have blonde hair is equal to 1 - P (blonde hair)
=> 1 - 0.20
=> 0.8
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The probability that a randomly selected resident has red hair and brown or black and black, brown, or blonde hair is 0.16, 0.80 and 0.20
The probabilities of a randomly selected resident having black, brown, or blonde hair are 0.17, 0.47, and 0.20 respectively.
P (black hair) = 0.17
P (brown hair) = 0.47
P (blonde hair) = 0.20
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.
(a). Probability that a randomly selected resident has red hair is
P (red hair) = 1 -P(black hair)-P (brown hair)-P (blonde hair)
= 1 - 0.17 - 0.47 - 0.2
= 0.16
(b). Probability that a randomly selected resident has brown or black hair
= P (brown hair) + P (black hair)
= 0.47 + 0.20
= 0.67
(c). Probability that a randomly selected resident does not have blonde hair
= 1 - P (blonde hair)
= 1 - 0.20
= 0.80
Therefore, the probability is 0.16, 0.80 and 0.20.
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If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).
Answer:
(f + g)(x) = 4x + 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1
In a 30-60-90 triangle, if the the side opposite 30 degrees has a length
of 5, what is the length of the hypotenuse?
Might Want to draw this and Its very long but Hope it helped :)
Answer:
The sides are all of the same length - let's say a. The angles are all the same too, and since the angles must add up to 180∘, we conclude that the three angles in the equilateral triangle are equal to 180∘/3=60∘.
Now we do something sneaky. We draw a line all the way down from the top vertex of the triangle to the midpoint of the bottom line.
This new line cuts our equilateral triangle in half. What are the angles in one half?
The angle at the bottom is 90∘.
One of the angles is the same as one of the angles in the original equilateral triangle, so it is 60∘.
So the third angle must be 180∘−90∘−60∘=30∘.
Now the hypotenuse of this new triangle is a, the side length of the equilateral triangle. And the length of the shortest side is a/2, since the line we drew cut the bottom line in half.
No
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Write each sentence as an equation.
1 .Two less than a number n is fifty two.
2. Three less than a number is twelve.
3. The sum of five and a number is ten less than fifty.
4. Three more than a number is sixty.
5. The sum of x and 6 is two less than ten,
6. A number minus 9 is twelve.
7. The sum of a number and five is thirteen.
8. The sum of x and ten is twenty.
9. A number five times is twenty five.
10. Twice a number is two more than five,
Answer:
n - 2 = 52x - 3 = 125 + x = 50 - 103 + x = 60x + 6 = 10 - 2x - 9 = 12x + 5 = 13x + 10 = 205x = 252x = 5 + 2please rate and heart :)
have a great day!!
The answer is given,
1.n - 2 = 52
2.x - 3 = 12
3.5 + x = 50 - 10
4.3 + x = 60
5.x + 6 = 10 - 2
6.x - 9 = 12
7.x + 5 = 13
8.x + 10 = 20
9.5x = 25
10.2x = 5 + 2
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
here, we have,
as the description given,
we get,
1.n - 2 = 52
2.x - 3 = 12
3.5 + x = 50 - 10
4.3 + x = 60
5.x + 6 = 10 - 2
6.x - 9 = 12
7.x + 5 = 13
8.x + 10 = 20
9.5x = 25
10.2x = 5 + 2
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Helpppppppp plsss ASAP math look at picture for details
Part A: Create an example of a polynomial in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)
Answer:
A)
The "Standard Form" for writing down a polynomial is to put the terms with the highest degree first.
For example, the polynomial f(x)=x5+2x3−x2+2x+1 is in standard form because the highest degree terms are kept first.
B)
The problem 3 + 6 = 9 demonstrates the closure property of real number addition.
Observe that the addends and the sum are real numbers.
The closure property of real number addition states that when we add real numbers to other real numbers the result is also real.
In the example above, 3, 6, and 9 are real numbers
Part(A),
The standard form of the polynomial is 3x⁴ - 2x³ + 5x² + 7x - 1.
Part(B),
This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.
2x³ - 4x² - x + 8
What is a polynomial?A polynomial is a mathematical statement made up of exponents, coefficients, and variables, which are frequently denoted by the symbol x. (numbers that indicate the power to which the variable is raised).
Part A:
An example of a polynomial in standard form is:
3x⁴ - 2x³ + 5x² + 7x - 1
This polynomial is in standard form because the terms are written in descending order of degree, and each term has a coefficient and a variable raised to a power.
Part B:
The closure property of polynomials states that if we add, subtract, or multiply two polynomials, the result is always another polynomial.
For example, consider the polynomials:
f(x) = 2x³- 5x² + 3x + 1
g(x) = x² - 4x + 7
If we add these polynomials, we get:
f(x) + g(x) = 2x³ - 4x² - x + 8
This is another polynomial, so the closure property holds. Similarly, if we subtract or multiply these polynomials, the result is always another polynomial.
The closure property is important in algebra because it ensures that the operations we perform on polynomials are always well-defined and meaningful.
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Question 2
Find the Total Surface Area and volume of the prism below. Round to the nearest hundredth, if necessary.
8 cm
16 cm
18 cm
cm squared
Total Surface Area =
cm cubed
Volume =
Back
Next
M
Any help with this question please?
Consider this equation.
c = ax – bx
Joseph claims that if a, b, and c are non-negative integers, then the equation has exactly one solution for x. Select all cases that show Joseph’s claim is incorrect.
A. a – b = 1, c ≠ 1
B. a = b, c = 0
C. a ≠ b, c = 0
D. a – b = 1, c = 0
E. a = b, c ≠ 0
Answer:
B.a=b, c≠0
C.a=b, c=0
D.a-b=1, c≠1
Step-by-step explanation:
The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x
Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.
A
a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0
B
a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.
C
This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.
D
Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.
E
Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.
From the above, the answer to the question is choices B, C, and D
I dont understand.i need help
Answer:
A= 160 in. squared
Step-by-step explanation:
A share of stock LOSES value in each week of a month. In which quadrant would the data points for this situation be graphed? ( The 2 variables are WEEKS and STOCK PRICE)
Answer:
Quad III
Step-by-step explanation:
III.
TANIA WANTS TO BUY STICKERS OVER THE INTERNET. EACH STICKER COSTS $2 AND SHIPPING THE ENTIRE ORDER COSTS $6. IF SHE CAN SPEND NO MORE THAN $30, HOW MANY STICKERS CAN SHE BUY? WRITE AND SOLVE AN INEQUALITY SHOWING THIS SITUATION. CHECK THE IN THE Soultion in the inequality.
Ryan has 4 rap songs, 8 country songs, and 2 rock songs.  what is the probability of Ryan picking a rock song or a Pop song
Answer:
Step-by-step explanation:
Total songs = 8 + 4 + 2 = 14 songs
number of rock songs = 2
Number of rap songs = 4
Probability of rock songs = 2/14 = 1/7
Probability of rap songs = 4/14 = 2/7
Find the area of the shape below
Answer:
I have questions in physics if you know it answer it
Erik saves $279 in one week, $558 in two weeks, and $837 in three weeks. How much will Erik
have saved after 6 weeks?
The painting shown at the right has an area of 220. What is the value of x?
Answer:
9.76
Step-by-step explanation:
area of a rectangle = length * breadth
length = (2x + 3)
breadth = x
given area is 220 sq. inches.
thus,
220 = x * (2x+3)
220 = 2x² +3x
2x² + 3x -220 = 0
x = (-b + √ ( b²-4ac) ) ÷ 2a
x = ( -3 + √ ( 3² - 4*2*220) ) ÷ 2*2
x =9.76
Help please!!!! I’ll appreciate it so much!
Help please will mark brainliest!!!
Answer:
3739.3
Step-by-step explanation:
Equation for an area of a circle: A=πr ^ 2
Radius is half the diameter, so r = 69 / 2 = 34.5
A = π * 34.5 ^ 2 = 3739.3 cm squared
An apartment complex stretched a string of decorative floats diagonally across a
rectangular pool. The width of the pool is 15 ft and the length of the pool is 20 ft.
What is the length of the a diagonal that the floats are stretched across ?
Answer:
25 feet
Step-by-step explanation:
Use the pythagorean theorem, where the width and length of the pool are the legs of the triangle.
Solve for c, the hypotenuse/diagonal
a² + b² = c²
15² + 20² = c²
225 + 400 = c²
625 = c²
25 = c
So, the length of the diagonal is 25 feet
Enter the value of (0.45) divided by 9/10
A statement and a proposed negation are given below. Statement: The product of any irrational number and any rational number is irrational. Proposed negation: The product of any irrational number and any rational number is rational. Which of the following correctly describes the relation between the statement and the proposed negation? The proposed negation is correct. The proposed negation is not correct. A possible correct negation would be: There is not an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There does not exist an irrational product of any irrational number and any rational number. The proposed negation is not correct. A possible correct negation would be: There is an irrational number and a rational number whose product is rational. The proposed negation is not correct. A possible correct negation would be: There exists an irrational product of an irrational number and a rational number.
Answer:
The proposed negation is not correct. A possible corect negation woulld be: There is an irrational number and, a rational number whose product is rational.
Step-by-step explanation:
From the given information above:
STATEMENT: "The product of ANY irrational number and ANY rational number is irrational".
From the above statement, the word "ANY" is very vital. Let assume we choose an element x from a particular set X of irrational numbers, as well as an element y from the set Y of a rational number, therefore, the statement has a use case and applies to every x and y element. Thus, in an effective mathematical way, the statement typically implies "for all x in set X and for all y in set Y, the product x*y is irrational.
However; from the negation of the "for all" statement is "there exists" (any text in discrete arithmetic will assist you to become fully aware of this fact). Any ramifications in the statement is likewise negated, i.e; if the statement infers that the resulted product of x and y is irrational, at that point the negation(invalidation) infers that the item isn't irrational. For example, it is rational. At the point when we set up every one of these facts, we get:
"There exist an element x in the set X, in addition to that; there exists an element y in set Y; x*y is rational".
If we express that into the option given; the right option is:
"There exist an irrational number and a rational number whose product is rational"
a sales clerk wants to make at least $519 . If he makes a base salary of $335 and $10.25 per hour at his part time job how many hours will he have to work?
Answer:
18 hours at least to reach the goal
Step-by-step explanation:
Well 519 is the lowest objective so lets aim for that
we can make an equation
since base pay is 335 that doesn’t change
We can make x for hours
335+10.25x ≥ 519
SO it can exactly equal or be greater
You’d get 17.95121... and you can’’t work 17.95121 hours so it has to be 18.
When calculating simple probability,
what goes in the numerator and what
goes in the denominator?
Please.
Answer:
The top number in a fraction. Shows how many parts we have. (The bottom number is the Denominator and shows how many equal parts the item is divided into.)
Step-by-step explanation:
A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose?
Answer:
Step-by-step explanation:
There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:
P = 2w + l; solving for l and filling in our length of fencing gives us:
l = 148 - 2w
The area then for this will be:
A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:
[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:
[tex]A=-2w^2+148w[/tex]
The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.
To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:
[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:
[tex]-2(w^2-74w)=0[/tex]
The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:
[tex]-2(w^2-74w+1369)=...[/tex]
But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:
[tex]-2(w^w-74w+1369)=-2738[/tex]
The left side can be simplified down to a perfect square binomial:
[tex]-2(w-37)^2=-2738[/tex]
Now we'll add over the -2738:
[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.
What is the resistance of a coil which draws a current of 200na
Answer:
600000Ω
Step-by-step explanation:
1μA = 10⁻⁶ A
200μA = 0.0002 A
Potential difference = V = 120 V
Current = I = 0.0002 A
Resistance = R
R = V / I
= 120 / 0.0002
= 600000Ω
Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at (6, –1).
What is u + v in component form?
⟨-10, -4⟩
⟨-5, -1⟩
⟨3, 9⟩
⟨5, 3⟩
Answer:
⟨-5, -1⟩
Step-by-step explanation:
Vector:
A vector is given by its endpoint subtracted by its initial point.
Vector u has initial point at (3, 9) and terminal point at (–7, 5)
Then
[tex]u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)[/tex]
Vector v has initial point at (1, –4) and terminal point at (6, –1).
Then
[tex]v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)[/tex]
What is u + v in component form?
[tex]u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)[/tex]
⟨-5, -1⟩ is the answer.
Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and tandling for the entire orderHow many personalized mugs would a customer have to purchase for the total cost of each company to be the same?
Answer:
3
Step-by-step explanation:
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?
Answer:
∠RQS = 21°
∠TQU = 28°
Step-by-step explanation:
90° + 221° + 3x + 4x = 360°
combine like terms:
7x + 311° = 360°
subtract 311° from each side of the equation:
7x = 49°
divide both sides by 7:
x = 7°
∠RQS = 3x = 3(7°) = 21°
∠TQU = 4x = 4(7°) = 28°
Is the following relation a function? (yes/no) (1,3) (2,2) (3,1) (2,0) (1,-1) and explain why or why not
Answer:no
Step-by-step explanation:
the (x) fators out more than once
guys help me lol plssss
Answer:
ITS RED
Step-by-step explanation:
Answer:
the red one/ fgh=vwh
Step-by-step explanation: