You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
The expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
How to determine the number of flips?The given parameters are:
P(Head) = 70%
The expected number of flipping a head is:
E(x) = 70% * x
The expected number of flipping a tail is:
E(x) = (1 - 70%) * x + 1
Where 1 represents the first flip
When both values are equal, we have:
70% * x = (1 - 70%) * x + 1
Evaluate
0.7x = 0.3x + 1
Evaluate the like terms
0.4x = 1
Divide both sides by 0.4
x = 2.5
Remove the decimal
x = 2
Hence, the expected number of flips from that point until the number of heads flipped in total equals the number of tails is 2
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The invers of 10/4 is
Answer:
4/10
Step-by-step explanation:
Which expression is equivalent to (3√x^2)^6
Step-by-step explanation:
[tex] = {(3 \sqrt{ {x}^{2} } )}^{6} [/tex]
[tex] = {(3 {x}^{ \frac{2}{2} } )}^{6} [/tex]
[tex] = {(3x)}^{6} [/tex]
[tex] = {3}^{6} {x}^{6} [/tex]
[tex] = 729 {x}^{6} [/tex]
====================================
[tex]\large \sf \underline{Problem:}[/tex]
Which expression is equivalent to (3√x^2)^6
====================================
[tex]\large \sf \underline{Answer:}[/tex]
The answer is x⁴
====================================
[tex]\large \sf \underline{Explanation:}[/tex]
[tex]( \sqrt[3] {x}^{2} )⁶ \: {The \: cube \: root \: of \: x² \: is \: x^(2/3)} (x^(2/3))⁶ {Now, \: simply \: multiply \: 2/3 \: by \: 6 \: to \: get \: 4.}[/tex]
x⁴
[tex]( \sqrt[3] {x}^{2} )⁶ \: is \: equivalent \: to \: x⁴[/tex]
====================================
In ΔABC, m∠B = 90°, cos(C) = , and AB = 16 units.
Based on this information, m∠A =
°, m∠C =
°, and AC =
units.
Note that the angle measures are rounded to the nearest degree.
The sides and angles of the right triangle area as follows:
m∠C = 28°
m∠A = 62°
AC = 17 units
How to find the sides and angles of a right angle triangle?Using trigonometric ratios,
cos C = 15 / 17
m∠C = cos⁻¹ 0.88235294117
m∠C = 28.0726015272
m∠C = 28°
m∠A = 180 - 28 - 90 = 62°
AC = 17 units
AC is the hypotenuse of the right angle triangle.
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PLEASE HELP! WILL GET BRAINLEST
Answer:
See below ~
Step-by-step explanation:
Question 12
Numbers greater than 3 : 5Total numbers : 8P (number > 3) = 5/8Multiply with 4005/8 x 4005 x 50250 timesQuestion 17
Part A
Possible outcomes = {HT, HH, TH, TT}Part B
P (heads at least once) = Outcomes with at least one "H" / TotalP (heads at least once) = 3/4How many participants will make 45 handshakes in total
Shara collected two different data sets and labeled them data set S and data set T. Data set S has a correlation coefficient of −0.91, and data set T has a correlation coefficient of 0.89.
Part A: Which data set has a stronger linear relationship?
Part B: How do you know this?
Select two answers, one for Part A and one for Part B.
Data set T has strong linear relationship as it is a perfect positive correlation
What is Correlation Coefficient ?
A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.
In other words, it reflects how similar the measurements of two or more variables are across a dataset.
When one variable changes, the other variables change in the same direction or opposite direction.
Perfect positive correlation :When one variable changes, the other variables change in the same direction.
Perfect negative correlation :When one variable changes, the other variables change in the opposite direction.
Part A &B : Data set T has strong linear relationship as it is a perfect positive correlation
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Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆
An equilateral triangle has all sides the same length and all angles the same measure.
Which is the measure of one angle of an equilateral triangle?
30°
45°
60°
90°
please please please help me this is for my brother.
Answer:
below
Step-by-step explanation:
it was the first thing I saw
Which values of x and y would make the following expression represent a real number? (4 5i)(x yi) x = 4, y = 5 x = –4, y = 0 x = 4, y = –5 x = 0, y = 5
The product will be a real number when x = 4 and y = -5.
Which values of x and y should we use?We have the product of complex numbers:
[tex](4 + 5i)*(x + yi)[/tex]
We want this to be a real number, then the second complex number must be the complex conjugate of the first one, so we must have:
[tex](x + yi) = (4 - 5i)[/tex]
Now, if we take the product, we get:
[tex](4 + 5i)*(4 - 5i)\\\\4*4 - 4*5i + 4*5i - (5*5)*i^2 = 16 + 25 = 41[/tex]
So we can see that the outcome is a real number.
Then we must have x = 4 and y = -5.
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Answer: C
Step-by-step explanation:
What is the product of (4y - 5) (3y - 7)?
Answer
(12y-35)
(4yx3y-5x7)
Answer:
12y² - 43y + 35
Step-by-step explanation:
Multiply each term of the first binomial by each term of the second binomial. Then combine like terms.
(4y - 5)(3y - 7) =
= 4y × 3y + 4y × (-7) + (-5) × 3y + (-5) × (-7)
= 12y² - 28y - 15y + 35
= 12y² - 43y + 35
What is the approximate circumference of the circle that has a center (3, 1) and passes through the point (3, 4)?
Step-by-step explanation:
You use the Distance Formula
d= √( x2 - x1 )^2 + ( y2 - y1 )^2
substitute
r= √(3-3)^2 + (4-1)^2
√0^2 + 3^2
r = √9
r = 3
Now you can use the equation for finding the circumference
2πr
2π3
≈ 6π or 18.85
In a hostel, 120 students had provisions of food for 60 days. After 20 days, some students were added to the hostel, the provision of food finished 10 days ago earlier. How many students were added?
Answer:
If I'm right, the answers should be 40.
Factorise X squared add 4X
Answer:
[tex]\huge\boxed{\sf x(x + 4)}[/tex]
Step-by-step explanation:
Given expression:
x² + 4x
Take x common
x(x + 4)
[tex]\rule[225]{225}{2}[/tex]
Does anyone know the length the height and the width of this object and also Based on the above values, the volume of the object ? pls someone help me
The top of a monument will be a rectangular pyramid. it will take 22 m3 of bronze to make the top that is 11 m tall. a rectangular pyramid with a base side of 2 meters. what is the missing dimension of the base of the pyramid? 1 m 2 m 3 m 4 m
The missing dimension of the base is 3 meters
How to determine the missing dimension of the base?The given parameters are:
Volume, V = 22Height, h = 11Base side, l = 2Let the missing dimension of the base be w.
So, we have:
V = lwh/3
This gives
22 = 2 * w * 11/3
Multiply both sides by 3
66 = 2 * w * 11
Divide both sides by 22
w = 3
Hence, the missing dimension of the base is 3 meters
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Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each turn player A targets a pair of points and player B says whether those two points are connected or unconnected. A can target each pair only once and the game ends when all pairs have been targeted. Player B wins iff a point is connected with all other points on the very last turn, while player A wins if any point is connected with all other points on any turn but the very last one OR if no point is connected to all other points after the last turn. For what values of n does either player have a winning strategy?
The values of n does either player have a winning strategy is; Player B has a winning strategy for all n ≥ 2.
How to predict winning probability?Let us use an example to solve this question. The game is played on the complete graph Kₙ (n ≥ 2), which consists of n vertices, each pair of vertices joined by an edge.
Now, Initially all edges are unpainted. At each turn, A chooses an edge, which B paints blue or red. Now, B will win if, after the last edge is painted, there is a vertex which is joined to all other vertices by blue edges. If that doesn't happen, then A wins.
The winning strategy of B is described by 3 rules which are;
Rule 1; Paint the last edge blue.Rule 2. Never paint an edge red if that would result in two red vertices being joined by an unpainted edge.Rule 3. Use red paint whenever permitted by Rules 1 and 2.Thus, if n >2, the first edge will always be painted red, the second will always be painted blue.
In conclusion, when we apply that same scenario to our question it is the same result and as such Player B has a winning strategy for all n ≥ 2.
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(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.
Also do not mind the other answers. Those were already answered by epic people (thanks again)
Answer:
For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)
Step-by-step explanation:
This is because adding up the total rain falls will get you to 2 1/2
For which inequality would x = 12 be a solution?
12 - x ≥ 4
x + 4 ≤ 12
12 x < 200
12 ÷ x > 12
Answer:
12x < 200
Step-by-step explanation:
12 - x ≥ 4
-x ≥ -8
x ≤ 8
12 is not a solution to this one.
x + 4 ≤ 12
x ≤ 8.
12 is not a solution to this one.
12 x < 200
x < 200/12
x < 16 2/3
12 is a solution.
the area of Zimbabwe is 390750km write this in standard form correct to three significant figures
Answer:
3.9075x10^5
Step-by-step explanation:
Hope this helps! ;-)
What is the value represented by the letter A on the box plot of the data?
10, 12, 15, 21, 24, 30
H
А
B
B
с
D
m
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
The first line on the box plot is always the minimum value
Drag numbers to the table so it shows a proportional relationship between x and y.
PLEASE HELP
Answer:
4 box: 9
5 box:4.5
6 box: 27
Step-by-step explanation:
Do 3/.5= 6 so multiply the numbers by 6
1.5•6=9
4.5•6=27
Hope this helps! ;-)
Kindly help me solve this questions
a) 3/X+2-2=1/1/2
b) 3(4-7x)/5-0.7=x-6/2
Answer:
a) x=6
b) x= 498/463
hope this helps!!
What’s 5 square root 7n
Answer:
If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.
Step-by-step explanation:
You square the whole equation first.
5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n
Then you multiply it together.
25 * 7n
175n
What percentage of the large circle does the small circle take up?
Please please help
Answer:
25 percent.
Step-by-step explanation:
To begin we want to find the area of the small circle. That would be pi(r)^2 or 9pi after plugging in the 3 for the radius. We can only assume that the large circle is double the radius of the smaller circle so it would be 6. Plug 6 in and get 36pi for the area of that circle. 9pi/36pi will equal 0.25 and that will be your percentage. I hope this helped.
help me please this is due tomorrow
well I can say all but a and g are nets according to that explenation
My original answer was 18, 1.92, -1, -5.5 but it is wrong on the form so what did i do wrong?
how do you find surface area of a rectangular prism
Answer:
To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.
The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?
