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the wheel on the tv program wheel of fortune is first divided equally into 24 compartments with one labeled"lose a turn" find the probability that the wheel stops a "lose turn" for each of the following a.single spinb.two successive spins c. three successive spins (complete solution)
Answer:
a) [tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.
b) [tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.
c) [tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
24 components on the wheel, one of which is "lose a turn"
This means that each time the wheel stops, there is a [tex]\frac{1}{24}[/tex] probability that it stops at lose a turn.
a.single spin
Only one spin, so:
[tex](\frac{1}{24})^1 = \frac{1}{24}[/tex]
[tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.
b.two successive spins
Two spins, so:
[tex](\frac{1}{24})^2 = \frac{1}{576}[/tex]
[tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.
c. three successive spins
Three spins, so:
[tex](\frac{1}{24})^3 = \frac{1}{13824}[/tex]
[tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.
Which number is located at the point Q on the number line?
Answer:
5/8
Step-by-step explanation:
A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet
find the common ratio of the geometric sequence 20 40 80
Answer:
2
Step-by-step explanation:
Solve for h: a = 1/2bh
h = A over 2b
h = A/b (1 /2)
h = 2Ab
h = 2A/b
Answer:
The answer is the last choice, h= 2a/b
Step-by-step explanation:
If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh. Next you would divide each side of the equation by b to solve for h. This would give you h= 2a/b, which is your final answer.
Using the GCF factor the given expression: 21xy + 14y
Answer:
7y(3x+2)
you take out the 7y from both sides
I need help pls hurrrryyyyyyyy
Answer: 48
Step-by-step explanation:
30-2 is 28 and 4 times 4 times 5 is 80 and 2 times 2 is 4 and 80 divided by 4 a 20 and 28 plus 29 is 48.
In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.
Answer:
d. 14 and 240.
Step-by-step explanation:
Given that
The regression model involving 14 independent variables and 255 observations
We need to find out the numerator and denominator freedom degrees
k = 14 regression variable
= n - k - 1
= 255 - 14 - 1
= 240 residuals
df=14,240
Now The degrees of freedom for F -critical is
F_{k,n-k-1}=F_{14,240}
So, The df of the numerator is 14 and df of the denominator is 240
Find the measure of the angle indicated by the red arrow.
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
1,500 cm
2,500 cm
Answer:
this question answer is 1500cm^3
he red figure is similar to the blue figure. Which choice describes a sequence of transformations in which the blue figure is the image of the red figure?
Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 4.5 units down and 5 units right.
Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.
Dilate the triangle with respect to the origin using a scale factor of 12 and then translate it 6 units up and 8.5 units left.
Dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 9 units up and 9 units left.
Answer:
Step-by-step explanation:
dilate the triangle with respect to the origin using a scale factor of 2 and then translate it 6 units down and 8 units right.
1) Bessie the cow drank 34 liters of water. How many
milliliters did Bessie drink?
Answer:
Bessie drank 34,000 mL of water.
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
Set up equation:
34 L × 1000 mL
Solve:
34,000 mL
Help please let me know if I’m wrong or right pls!!!!
Answer:
you are correct! nonlinear
Step-by-step explanation:
when this equation is graphed it forms a curved line-- making it non linear :)
The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
400, 300, 500, 800, 650, 450, 550, 750, 350, 600, 1250, 1450, 1500, 800, and 950.
Select all the samples whose mean attendance is above the mean attendance of the population
250, 400, 350, 750, 200
1000, 1200, 800, 600, 900
400, 300, 500, 800, 650
450, 550, 750, 350, 600
1250, 1450, 1500, 800, 950
Answer:
B and d
Step-by-step explanation:
Brainliest pls.
The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?
Answer:
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Step-by-step explanation:
Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - x-coordinate of the point P.
[tex]y[/tex] - y-coordinate of the point P.
Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:
[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]
[tex]\theta \approx 105.001^{\circ}[/tex]
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Angle the given vector makes with the positive x-axis when measured counterclockwise is required.
The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.
VectorsThe given vector is (-7.765,28.978)
The angle is found by the formula
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
Here,
y = 28.978
x = -7.765
Substituting the given values we get
[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]
So, the required angle is
[tex]180-75=105^{\circ}[/tex]
Learn more about vectors:
https://brainly.com/question/25811261
20 POINTS
Using mathematically precise language, explain in detail how you would multiply the complex number
z1=r1 (cos theta1+isin theta 1)
with the complex number
z2=r2 (cos theta 2+isin theta 2)
r-radius/radii
m-modulus/moduli
theta-argument represent angle theta
The product complex number is z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)]
[tex]Z_1\times Z_2= r_1(cos \theta_1 + isin \theta_1) \times r_2(cos \theta_2 + isin \theta_2)[/tex]
r-radius/radii
m-modulus/moduli
theta-argument represent angle theta
[tex]= r_1r_2(cos \theta_1 + i sin \theta_1) (cos \theta_2 + isin \theta_2)[/tex]
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + i^2sin\theta_1sin\theta_2[/tex]
What is the value of i square in complex number?The value of i square is
[tex]i^2=-1[/tex]
Therefore,we get,
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 + (-1)sin \theta_1 sin \theta_2)[/tex]
[tex]= r_1r_2(cos \theta_1 cos \theta_2 + i cos \theta_1 sin \theta_2 + i sin \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2)[/tex]
Since we know that,
[tex]cos(\theta_1+\theta_2)=cos\theta_1cos\theta_2-sin\theta_1sin\theta_2[/tex]
[tex]sin(\theta_1+\theta_2)=sin\theta_1cos\theta_2+cos\theta_1sin\theta_2[/tex]
So using above value we get,
[tex]= r_1r_2(cos \theta_1 cos \theta_2 - sin \theta_1 sin \theta_2) + i (cos \theta_1 sin \theta_2 + sin \theta_1 cos \theta_2)[/tex]
[tex]=r_1r_2cos(\theta_1+\theta_2)+isin(\theta_1+\theta_2)[/tex]
Therfore the product of the complex number is z1z2 = r1r2[cos (θ1+θ2) + isin (θ1+θ2)].
To learn more about the product of complex number visit:
https://brainly.com/question/1462345
Find The sum of the first 10 terms 8,20,32,44
Answer:
S₁₀=620
Step-by-step explanation:
This is an arithmetic sequence with a common difference of d=12
The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.
We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.
Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620
Carol's last credit card statement said that she had an account balance of -$107. Which of the following account balances represents a debt greater than Carol's?
A.
-$60
B.
$60
C.
-$154
D.
$154
When you board a Ferris wheel your feet are about 1 foot off the ground.
At the highest point of the ride, your feet are 99 feet above the ground. It
takes 30 seconds for the ride to complete one full revolution. Write a
trigonometric equation for your height above the ground at t seconds after
the ride starts. Find two times when you are 90 feet above ground.
Answer:
you would take 14 secs lol hahaha
Step-by-step explanation:
Simplify.
2x120x20
0 4x²/5
4x" 5
2x "/10
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x ^ 11 sqrt 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x^11 [tex]\sqrt{5}[/tex]
Step-by-step explanation:
You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].
Calcula el área de un círculo con circunferencia de 37.68 unidades.
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/
Given side a is 41 units, side b is 23 units and the included angle is 70°. Find the area
Answer:
886.13sq. units
Step-by-step explanation:
If the figure is a triangle
Area of the triangle = 1/2 ab sintheta
Given
a = 41 units
b = 23 units
theta = 70°
Area of the triangle = 1/2 * 41 * 23 sin 70
Area of the triangle = 943 sin70
Area of the triangle = 943(0.9397)
Area of the triangle = 886.13
Hence the area of the triangle is 886.13sq. units
The smith family is shopping for a new car
Answer:
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
Step-by-step explanation:
Explain the steps on how u got the answer
••••••••••••••••••
Answer:
volume of cyclinder=πr²h
=3.14×2²×3=37.68cm³
rectangular prism volume=6×5×7
=210cm³
total volume=37.68+210=247.68cm³
Step-by-step explanation:
1) Cylinder
d = 4 cm
h = 3 cm
r = d : 2
= 4 : 2
= 2
V. Cylinder = πr²h= 3.14 × 2² × 3
= 37.68 cm³
2) Rectangular prism
l = 6 cm
w = 5 cm
h = 7 cm
V = l . w . h= 6 . 5 . 7
= 210 cm³
3) Total Volume
V. Cylinder + V. Rectangular prism= 37.69 + 210
= 247.68 cm³
#CMIIW
Please help thank you !
Answer:
1.) B
2.) A
3.) B
Step-by-step explanation:
243.6 ÷ ________ = 02.436
Answer:
...........100.........
Step-by-step explanation:
243.6 ÷100=2.436 we don't use 0 before positive number
Help plz
answer 15 points
Answer:
A
Step-by-step explanation:
-9 must be a bigger number then x and it is a greater then not a greater or equal to sign menaing the circle will be empty and the blue part or x will be to the left of -9
Answer:
A
Step-by-step explanation:
Helen bought 1 pint of fruit juice. What is the quantity of fruit juice bought by her in fluid ounces?
A. 10 fl. oz.
B. 12 fl. oz.
C. 16 fl. oz.
D. 20 fl. oz.
Answer:
C. 16 fl. oz.
Step-by-step explanation:
hope this helps.
please helppppp i will mark brianlisttt!!!
Answer:
37 degrees
Step-by-step explanation:
A triangle has to be 180 degrees so you do 53+90 (because it is a right triangle) equals 143
then do 180-143 to get your final angle of 37
Answer:
37 degrees
Step-by-step explanation:
The degrees of a triangle will add up to equal 180 degrees. A right angle will always be equal to 90 degrees.
Set up an equation:
Variable x = degrees of the acute angle
90 + 53 + x = 180
143 + x = 180
143 - 143 + x = 180 - 143
0 + x = 37
x = 37
Would someone help ? Thank you ! :)
Answer:
Transitive Property of Congruence
Step-by-step explanation:
If angle 1 is = to angle 2 and angle 2 = angle 3, then angle 1 has to equal angle 3.