Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 units?
B. 48units?
C. 120 units
D. 192 units
Need HELP ASAP PLEASEE check the picture
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, four green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She does not have all the red ones.
Answer:
0.8586 = 85.86% probability that she does not have all the red ones.
Step-by-step explanation:
The marbles are grabbed without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
Bag has 4 + 4 + 3 + 1 = 12 marbles, which means that [tex]N = 12[/tex]
She grabs eight of them, which means that [tex]n = 8[/tex]
Four are red, which means that [tex]k = 4[/tex]
Probability that she does not have all the red ones.
This is
[tex]P(X < 4) = 1 - P(X = 4)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,12,8,4) = \frac{C_{4,4}*C_{8,0}}{C_{12,8}} = 0.1414[/tex]
Then
[tex]P(X < 4) = 1 - P(X = 4) = 1 - 0.1414 = 0.8586[/tex]
0.8586 = 85.86% probability that she does not have all the red ones.
Wyatt scored 104 points in a trivia game. He correctly answered 26 questions during the game. How many points did he score per question?
PLEASE DONT ONLY WRITE THE ANSWER ALSO WRITE HOW TO GET IT PLS I WILL GIVE BRAINLIEST
Answer:
4
Step-by-step explanation:
- the rule is: (number_of_questions)*(points_per_question)=total_score.
- according to the rule above: 26*(points_per_question)=104, then
points_per_question=104/24=4.
who is popularly known as the father of economics
Answer:
Adam smith
he is known as father of economics.
hope it helps
Answer:
Adam Smith
Step-by-step explanation:
How is the answer 100.48 ?? Someone explain I'm confused
Use the following formula:
[tex]A=2\pi rh+2\pi r^{2}[/tex]
Take the value of [tex]\pi[/tex] as 3.14 and add the values in the formula:
[tex]A=2(3.14)(2)(6)+2(3.14)(2)^{2}[/tex]
[tex]A=75.36+25.12[/tex]
[tex]A=100.48[/tex]
I hope this helped :)
Round to the nearest hundredth hellpppp
Answer:
[tex]v=1/3\pi r^2h[/tex]
[tex]v=1/3(3.14(7)^2(7)[/tex]
[tex]v=359.01 ~units^3[/tex]
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hope it helps...
have a great day!!
How do I find the length
A car wash detailed 264 cars in 8 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
33
Step-by-step explanation:
264/8= 33
Find all angles, o<Θ<360, that satisfy the equation below, to the nearest 10th of a degree.
4cos^2Θ-2=-1
Answer:
30° and 150°
Step-by-step explanation:
We want to find the angles in the range:
0° < θ < 360°
Such that:
4*cos^2(θ) - 2 = 1
The first part is to isolate the variable θ in one side of the equation, let's do that:
4*cos^2(θ) = 1 + 2 = 3
cos^2(θ) = 3/4
cos(θ) = ± √(3/4) = ± (√3)/2
Then we have two possible values of θ, one for:
cos(θ) = (√3)/2
And another for
cos(θ) = - (√3)/2
For both cases, we can use the inverse cosine function, Acos(x)
that has the property Acos( cos(x) ) = x
Then:
cos(θ) = (√3)/2
Acos( cos(θ) ) = Acos( (√3)/2)
θ = Acos( (√3)/2) = 30°
And for the other case we have:
θ = Acos( - (√3)/2) = 150°
Then the two values of theta are: 30° and 150°
(We can see that both of these values are in the range 0° < θ < 360°)
What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
d
Step-by-step explanation:
alguien me lo puede de hacer
Answer:
..........
Step-by-step explanation:
[tex]\pi[/tex]
After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent 525 80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt. How much money did Ashley bring to the mall
9514 1404 393
Answer:
$60
Step-by-step explanation:
The total she started with is the sum of the amount she spent and the amount remaining:
$25.80 +$9.25 +$18.85 +$6.10 = $60.00
Ashley brought $60.00 to the mall.
Answer:
The Total money she bring to mall is $ 60.
Step-by-step explanation:
Given that :-
After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent $ 25.80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt.
To find :-
How much money did Ashley bring to the mall ?
Solution :-
Total money she bring to the mall = sum of amount she spend and amount remaining.
Total money = $ 25.80 + $ 59.25 + $ 18.85 + $6.10
Hence, The total money she bring to mall is $ 60.00.
What is the difference between a factor and a solution?
Answer:
Step-by-step explanation:
A genuine number x will be called a arrangement in case it fulfills the condition meaning It is simple to see that the roots are precisely the x-intercepts of the quadratic work, that's the crossing point between the chart of the quadratic work with the x-axis
In the diagram below, JK is similar to MNO. If segment Mn is 8 cm, segment Bo is 18 cm, segment OM is 20 cm, and segment JK is 22 cm, how long is segment LJ?
Answer:
55 cm
Step-by-step explanation:
[tex]\frac{22}{8} =\frac{x}{20} \\8x=440\\x=55cm[/tex]
HELP!! Pauline Wong spends 3hours selling a used car and 5hours selling a new car. She works no more than 31hours per week. In order to receive a bonus, she must sell at least twoused car and twonew cars each week. In that case, she receives a bonus of $200for each used car and $300for each new car. How many new cars and how many used car should she try to sell to maximize her bonus? What is the maximum bonus?
a) Define the variables to use
b) Goal function
c) Constraints
Answer:
B)Goal Function
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
What is the product of 4x2/3
[tex]\sf\purple{2.667}[/tex] ✅
Step-by-step explanation:
[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Circle O is shown below. The diagram is not drawn to scale.
If m∡R = 24°, what is m∡O?
48°
96°
24°
12°
The measure of angle O (m∠O) is 48°. The correct option is the first option- 48°
Circle GeometryFrom the question, we are to determine the measure of angle O
From one of the circle theorems, we have that
The angle at the center is twice the angle at the circumference
∴ m∠O = 2 × m∠R
From the diagram, m∠R = 24°
Then,
m∠O = 2×24°
m∠O = 48°
Hence, the measure of angle O (m∠O) is 48°. The correct option is the first option- 48°
Learn more on Circle Geometry here: https://brainly.com/question/21872415
#SPJ2
What is the radius of a sphere with a volume of 3675 m^3, to the nearest tenth of a meter?
Answer:
9.57m
Step-by-step explanation:
Answer:
Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
Ngân hàng trung ương bán trái phiếu chính phủ
Answer:
Trong hoạt động mở, Fed mua và bán chứng khoán chính phủ trên thị trường mở. Nếu FED muốn tăng cung tiền, nó sẽ mua trái phiếu chính phủ. ... Ngược lại, nếu FED muốn giảm cung tiền, nó sẽ bán trái phiếu từ tài khoản của mình, do đó thu về tiền mặt và loại bỏ tiền ra khỏi hệ thống kinh tế.
Step-by-step explanation:
em yêu
True/False. Every member of a food web is the prey of another member of the food web.
true
Producers --> Consumers --> Primary consumers --> Secondary consumers -->
Tertiary consumers --> Quaternary consumers --> Decomposers --> Producers
and the cycle keeps repeating
Hope it helps...
5x+3y=27
7x+9y=51
I'll give brainliest
Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)
Answer:
-3(6/8+9/8)+4 2/5
Step-by-step explanation:
You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.
Find the distance between the points (15,-6) and (10,3). I need to show my work PLEASE HURRY 15 points CORRECT ANSWERS ONLY PLEASE
Step-by-step explanation:
d = √(15-10)²+(-6-3)²
=√5²+(-9)²
= √25+81
=√106
10.3 units
5. Simplify the problem in the picture.
Answer:
The answer is 3k^2m^6/4
Which is the simplified form of the expression
Answer:
4 / x¹⁴y⁸
Step-by-step explanation:
eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:
1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4
x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸
put it all together to get:
4÷(x¹⁴y⁸)
why 13/4hr and 4hr are equal ?
Answer:
they are not equal
Step-by-step explanation:
13/4 hour is 3hour and 15 minutes
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
A) (-9/7,0), (3/8,0)
B)(-7/9,0), (8/3,0)
C) (-3/8,0), (°/7,0)
D) (-8/3,0), (7/9,0)
Answer:
A) (-9/7,0), (3/8,0)
Step-by-step explanation:
Zeros of a quadratic function:
x for which y = 0.
In this question:
[tex]y = 6(7x + 9)(8x - 3)[/tex]
It's 0 if one of the factors is 0. 6 is never 0, now about the other to:
[tex]7x + 9 = 0[/tex]
[tex]7x = -9[/tex]
[tex]x = -\frac{9}{7}[/tex]
So (-9/7, 0) is a zero of the quadratic function.
The other is:
[tex]8x - 3 = 0[/tex]
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
(3/8,0) is the other zero.
Thus, the correct answer is given by option A.
Please help! Image attached!
Number 1 is 5y = 50
Number 2 is h = 7
Number 3 is multiplication
Number 4 is addition