Given:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times.
To find:
The expected number of times it land on Red if you spin this spinner 1000 times.
Solution:
A biased 3-colored spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. So,
[tex]n+3n+8n=240[/tex]
[tex]12n=240[/tex]
[tex]n=\dfrac{240}{12}[/tex]
[tex]n=20[/tex]
The value of n is 20. It means the spinner land on red 20 times if the spinner was spun 240 times. So, the probability of getting red is:
[tex]P(Red)=\dfrac{20}{240}[/tex]
[tex]P(Red)=\dfrac{1}{12}[/tex]
If you spin this spinner 1000 times, then the expected number of times to getting red is:
[tex]E(Red)=1000\times P(Red)[/tex]
[tex]E(Red)=1000\times \dfrac{1}{12}[/tex]
[tex]E(Red)=83.333...[/tex]
[tex]E(Red)\approx 83[/tex]
Therefore, the expected number of times to land on red is 83.
I dont understand what to do here, can somebody help, please? 4.2 / 6 = ____ tenths / 6 4.2 / 6 ____ tenths
Answer:
sei lá, pergunta pra tua mãe
∠1 and ∠2 are supplementary angles. m∠1 = x − 39, and m∠2 = x + 61. Find the measure of each angle.
∠1 = 79, ∠2 = 101
∠1 = 40, ∠2 = 150
∠1 = 40, ∠2 = 140
∠1 = 79, ∠2 = 111
Mike invested $93,000 at 8.19% compounded weekly.
What will Mike's account balance be in 11 years?
Answer:
$4920446.6202
Step-by-step explanation:
the formula for compound interest is: P(1+ r/n)^n*t
p= principle (the amount of money you invest/ start with)
r= the interest rate (which is the percentage in decimal)
n= the number of times its compounded per year (52 weeks per year)
t= the amount of time (usually in years)
now, you plug the numbers youre given into the formula:
93000(1+0.0819/52)^52*11
= $4920446.62402
hope this helps :)
Mile's account balance after 11 years will be $228,786.8
What is the formula for compound interest?"[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where A = Accrued amount (principal + interest)
P = Principal amount
r = interest rate as a decimal
R = interest rate as a percent
r = R/100
n = number of compounding periods
t = time in years"
For given question,
P = $93000,
t = 11 years
n = 52 (weekly compounding)
R = 8.19%
So, the interest rate in decimal would be,
[tex]\Rightarrow r =\frac{8.19}{100}\\\\\Rightarrow r =0.0819[/tex]
Using the formula of compound interest,
[tex]\Rightarrow A=P(1+\frac{r}{n} )^{nt}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^{52\times 11}\\\\\Rightarrow A=93000(1+\frac{0.0819}{52} )^572\\\\\Rightarrow A=228,786.8[/tex]
Therefore, Mile's account balance after 11 years will be $228,786.8
Learn more about the compound interest here:
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Please help! will give brainly
Answer:
5/6
Step-by-step explanation:
first form numerator you will multiply by π it means 3.14 multiply 11
the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5
the annwer is
5/6
Answer:
Step-by-step explanation:
[tex]\frac{11\pi }{6}[/tex] = 11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]
The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.
(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )
What is the measure of x?
Answer:
Step-by-step explanation:
Use similar triangles and proportions to solve:
[tex]\frac{4}{6}=\frac{10}{6+x}[/tex] and cross multiply:
4(6 + x) = 60 and
24 + 4x = 60 and
4x = 36 so
x = 9
Graph the solutions of the inequality on a number line. Describe the solution to the inequality. c ≤ -2
open dot at –2; shade all the points to the right of –2
closed dot at –2; shade all the points to the right of –2
open dot at –2; shade all the points to the left of –2
closed dot at –2; shade all the points to the left of –2
Answer:
The inequality is 2 ≤ x < 8.
A closed dot represents ≤, and an open dot represents <. Since x can represent all values between 2 and 8, you will shade in between 2 and 8 on the number line. x is greater than or equal to 2, so there will be a closed dot on 2. x is less than 8, so there will be an open dot on 8.
The answer is 'number line with a closed dot on 2 and an open dot on 8 and shading in between'.
The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
A number line can be used to represent numbers placed on regular intervals. A number line can be used to represent an inequality.
The solution to the inequality c ≤ -2 is closed dot at –2; shade all the points to the left of –2
Find out more on inequality at: https://brainly.com/question/24372553
AD = 6, DC = 8, find DB
Answer:
10
Step-by-step explanation:
use a^2+b^2=c^2
6^2+8^2=c^2
100=c^2
sqrt it and you get 10 for AC and AC=DB
Answer:
according to Pythagoras theorem, c²=a²+b²
|AC|²=|AD|²+|DC|²
|AC|²=6²+8²
|AC|²=36+64
|AC|²=100
√|AC|²=√100
|AC|=10
A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 65°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) ft
Answer: [tex]317.2\ ft[/tex]
Step-by-step explanation:
Given
Angle of elevation [tex]\theta=65^{\circ}[/tex]
Length of string [tex]L=350\ ft[/tex]
Suppose the height of kite from the ground level is h
from the figure, we can write
[tex]\Rightarrow \sin \theta=\dfrac{h}{L}\\\\\Rightarrow \sin 65^{\circ}=\dfrac{h}{350}\\\\\Rightarrow h=350\sin 65^{\circ}\\\Rightarrow h=317.2\ ft[/tex]
A particle is projected with a velocity of [tex]29.4ms^-^1[/tex] . Find it's maximum range on a horizontal plane through the point of projection.
A.88.2m B.44.1m C.32.6m D.29.4m E.14.7m
A.88.2m
Answer:
Solution given:
initial velocity[u]=29.4m/s
g=9.8m/s²
maximum range=?
now
we have
[tex]\theta=90°[/tex]
maximum range =[tex]\frac{29.4²*sin90}{9.8}=88.2m[/tex]
The initial velocity is,
→ u = 29.4 m/s
General assumption,
→ g = 9.8m/s²
→ θ = 90°
Then the maximum range is,
→ (29.4² × sin90)/9.8
→ 88.2 m
Hence, option (A) is answer.
Which function is graphed below?
algebra 2
Answer:
x=0..............................
PLZ HELP ASAP!! NO FILESSSSSSSS
The closer to 1 the r value the closer the dots make a straighter line.
A positive value the distance move up to the right, a negative value the dots move down to the right.
A = r = -0.33
B = r = -0.75
C = r = 0.72
D = r = 0.89
Find the area of the rhombus
Answer:
The rhombus has an area of 240 units. (2nd one on the left).
Step-by-step explanation:
The intersection of diagonals meet at right angles. That means that the labeled sides are the hypotenuse and 1 leg of a right angle triangle. You need to find the other leg by using the Pythagorean Theorem
a^2 + b^2 = c^2
a = 8
b = ?
c = 17
8^2 + b^2 = 17^2
64 + b^2 = 289 Subtract 64
b^2 = 289-64
b^2 = 225 Take the square root of both sides.
sqrt(b^) = sqrt(225)
b = 15
Find the area of 1 triangle
Area = 1/2 * a * b
a = 8
b = 15
Area = 1/2 * 8 * 15
Area = 60
Now find the area of 4 triangles.
4*60 = 240
Which of the following are true statements? Check all that apply. (WILL GIVE BRAINLIEST)
A. log(M/N) = (logM)/(logN) B. logM+logN=log(MN)
C. log(M/N)=logM-logN
D. logM-logN=log(M-N)
Answer:
B and C are the correct answers
Step-by-step explanation:
Hope this helps!
The statement B and C are true according to logarithm rules.
What are logarithms?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
A) log(M/N) =log M/log N
Quotient rule is log (x/y)=log x-log y
So, which in not true
B) logM+logN=log(MN)
Product rule is log(xy)=logx+logy
So, the statement is ture
C) log(M/N) =log M - log N
Quotient rule is log (x/y)=log x-log y
So, the statement is ture
D) log M - log N=log(M-N)
Quotient rule is log (x/y)=log x-log y
So, which in not true
Therefore, the statement B and C are true according to logarithm rules.
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someone help me now?
Answer:
answer of given question is 200 miles
for this answer give me brilliant tag
Answer:
200 miles
Step-by-step explanation:
this is really not difficult.
just solve the equation as it is already written there.
130 = 0.5m + 30
100 = 0.5m = m/2
m = 200 miles
that is all that is to it.
putting this in here as question costs way more time than just doing this.
The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial?
Answer:
x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
Step-by-step explanation:
(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75
Find the Value of x that makes A parallel to B.
Answer:
x=60
Step-by-step explanation:
PLEASE SOMEONE HELP I need help ASAP!!!
Answer:
using the pythagoras theorem
Step-by-step explanation:
[tex] \sqrt{4 {}^{2} - ( \sqrt{7}) {}^{2} } = 3[/tex]
If (2,1) is the midpoint of the line segment ST and the coordinates of S are (5,4), find the coordinates of T.
Answer:
Step-by-step explanation:
The formula to find the midpoint of a segment is
[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex] and we have the midpoint and we also have a coordinate of (5, 4). Let's let x₁ = 5 and y₁ = 4. Filling in what we have:
[tex](2,1)=(\frac{5+x_1}{2},\frac{4+y_2}{2})[/tex] and we'll deal with the x terms first. The x coordinate of the midpoint is 2, so:
[tex]2=\frac{5+x_2}{2}[/tex] and multiply both sides by 2 to get rid of the denominator to get:
4 = 5 + x₂ so
x₂ = -1. Going on to the y coordinate. The y coordinate of the midpoint is 1, so:
[tex]1=\frac{4+y_2}{2}[/tex] and again multiply both sides by 2 to get rid of the denominator to get:
2 = 4 + y₂ so
y₂ = -2
The coordinates of T are (-1, -2)
(6x-5)/7-(2x-1)/3=2?
You wish to purchase a new car and can afford monthly repayments of up to $250 per month. You see a car you like for $12,000 and are offered financing to secure the purchase. The loan lasts for 5 years and the annual interest rate is 17.9%. Can you afford to purchase the car on finance?
Answer:
Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.
Step-by-step explanation:
The monthly required payment of the finance can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = M * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or finance amount = $12,000
M = Finance’s monthly required payment = ?
r = Monthly interest rate = Annual interest rate / 12 = 17.9% / 12 = 0.179 / 12 = 0.0149166666666667
n = number of months = Number of years * 12 = 5 * 12 = 60
Substitute the values into equation (1) and solve for M, we have:
$12,000 = M * ((1 - (1 / (1 + 0.0149166666666667))^60) / 0.0149166666666667)
$12,000 = M * 39.464764662266
M = $12,000 / 39.464764662266 = $304.07
Since the finance’s monthly required payment of $304.07 is greater than the $250 monthly that you can afford, this implies that you CANNOT afford to purchase the car on finance.
(Ignore)-Character fill- jsysbssmhzbsskkdhsbsnsdjsvsvsbsjhs
Step-by-step explanation:
[tex]x = kh \\ x = 33 \\ hj = 4x + 9 \\ x = 9 - 4 \\ x = 5 \\ jk = 3x + 3 \\ x = 3 - 3 \\ x = 0[/tex]
Solve for x.
Help me please
Answer:
x = 24
Step-by-step explanation:
mathematically, in a cyclic quadrilateral, two opposite angles are supplementary
what this mean is that they add up to be 180
From what we have in the question, the two angles are supplementary and that means they add up to equal 180 degrees
thus, we have it that;
(4x + 9) + (3x + 3) = 180
4x + 3x + 9 + 3 = 180
7x + 12 = 180
7x = 180-12
7x = 168
x = 168/7
x = 24
-5(x+4) + -3x + -9x+-7
Answer:
x - 27
Step-by-step explanation:
Our goal here is to solve for x.
Start by performing the indicated multiplication:
-5(x+4) + -3x + -9x+-7 => -5x - 20 - 3x + 9x - 7
Combine like terms: x - 27
Answer:
[tex]-5(x+4) + -3x + -9x+-7[/tex]
[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]
[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]
[tex]\longmapsto -5(x+4)=-5x-20[/tex]
[tex]\longmapsto -5x-20-3x-9x-7[/tex]
[tex]\longmapsto =-17x-27[/tex]
[tex]ANSWER:=-17x-27[/tex]
-------------------------------
hope it helps....
have a great day!!
What percentage of temperatures are below 55°? A. 50% B. 25% C. 75% D. 20%
Step-by-step explanation:
C
im not sure of my answer. hope to help
please help it's due i will give brainly
Answer: 1) You forgot to change the sign over there. You have to subtract over there.
2) Just be careful while solving equations while changing the signs
The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Answer:
it is 1:5
Step-by-step explanation:
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the
ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Ratio of red paint to white paint in the paint color = 4 : 20
= 4/20
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 1 : 5
Ratio of red paint to white paint in the paint color = 5 : 25
= 5/25
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 7 : 35
= 7/35
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 8 : 40
= 8/40
= 1/5
= 1 : 5
Sean is a bookworm. On average, he reads pages in minutes.
Answer:
wow thats very interesting
Step-by-step explanation:
whats ur question
WILL GIVE BRAINLIEST AND 50 POINTS!
Determine the more basic function that has been shifted, reflected, stretched, or compressed.
m(x)= 2√x-5 -2
Answer: The function M if derived from the integral of the derivative of the function. This is valid by the fundamental theorem of calculus.
M(x)=43x32−7x+C
Step-by-step explanation: not 100 about this but it's what I got
If f(x) = 3x^2 + 4x-5, then f(-2) =
f(x) = 3x² + 4x - 5
So, f(-2)
= 3(-2)² + 4(-2) - 5
= 3(4) + (-8) - 5
= 12 - 8 - 5
= 4 - 5
= -1
Answer:
-1
Step-by-step explanation:
[tex]f(x) = 3x {}^{2} + 4x - 5 \\ f( - 2) = 3( - 2) {}^{2} + 4( - 2) - 5 \\ = 12 - 8 - 5 \\ = - 1[/tex]
What is the scale of the y-axis in this coordinate graph?
A. 1 tick mark represents 1 unit
B. 1 tick mark represents 8 units
C. 1 tick mark represents 12 units
D. 1 tick mark represents 16 units
Answer:
Obviously B
Step-by-step explanation: