Answer:
[tex]1 - p[/tex]
Step-by-step explanation:
Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that
[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].
So
[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].
But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.
Urgent plz please please❤️
Answer:
see below
Step-by-step explanation:
The domain is the possible x values
For the top graph x goes from 0 to 240
0 ≤x≤240
For the bottom graph the domain is from -3 but not including -3 because of the open circle to 6
-3 < x ≤6
(-3,6]
The range is the possible y values
The lowest value of y is -5 and the largest is 7
-5 ≤y≤7
[-5,7]
The square root of 52 is between which two consecutive Integers?
26 and 27
25 and 26
07 and 8
8 and 9
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
*I WILL MARK YOU BRAINLIEST!!!!!*
Answer:
C
Step-by-step explanation:
you were told to draw a graph
f(x) or y is 4 when x less than or equal to 3. so you must draw straight horizontal line at y = 4 start from x = 3 to the left
(fx) or y is 2 when x bigger than 3. so, 3 is not included. so you must draw straight horizontal line at y = 2 start from x = 3 to the right with empty circle first (it means 3 not included)
In a survey, the ratio of the number of people who preferred tea to those who preferred coffee was 9:5
36 more people preferred tea to coffee.
How many people were in the survey?
Answer:
45 people prefered coffee, 81 people prefered tea. A total of 126 people were surveyed.
Step-by-step explanation:
Let t be the people who prefer tea, and let c be the people who prefer coffee.
The ratio between tea and coffee is 9:5, thus we have t/c=9/5. Cross products give us 5t=9c.
Also, we have 36 more people prefer tea than coffee, so we have c+36=t
Thus we have: 5(c+36)=9c
5c+180=9c
180=4c
c=45
c+36=t
45+36=81
25 points !!! 3 1/3 x 52
Answer:
Irrational
Step-by-step explanation:
3 1/3 × √52
= 10/3 × √52
= 20/3√13
= 24.037009
Irrational, the product cannot be written in the form p/q as a fraction.
Answer:
irrational
Step-by-step explanation:
3 1/3 * sqrt(52)
Changing to an improper fraction
10/3 * sqrt(52)
10 /3 * sqrt( 4*13)
10/3 * sqrt(4) sqrt(13)
10/3 * 2 sqrt(13)
20/3 sqrt(13)
Since sqrt(13) is irrational the product is irrational
if f(x)=x-7 and g(x)=x^3, find G(f(x))
Answer:
[tex](f*g)(x) = x^4-7x^3[/tex]
Step-by-step explanation:
[tex]f(x) = x-7\\g(x) = x^3[/tex]
Multiplying both would make
[tex](f*g)(x) = x^4-7x^3[/tex]
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
please help me with this question....
Answer:
107
Step-by-step explanation:
Median is the middle most no.
=> Here, Median are two numbers, 106 and 108 So, we'll find the mean of it to get the median
=> Median = [tex]\frac{106+108}{2}[/tex]
=> Median = 107
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
Brainliest??? Which inequality is represented by this graph.
Answer:
Step-by-step explanation:
D is the answer
What is the largest integer $n$ such that $7^n$ divides $1000!$ ?
Answer:
The correct answer is
n = 3038
Step-by-step explanation:
Where we have;
We note that 1000! = An even number
Since Even × Even = even
Even × Odd = Even
Also, 7ⁿ is an Odd number since odd × odd = odd
Therefore 7ⁿ will divide 1000! with some fractions as follows;
1000! divided by 7ⁿ
When 7ⁿ = 1000!
log(7ⁿ) = log(1000!) = log(4.02×10²⁵⁶⁷)
n·log(7) = 2567.604
n = 2567.604/(log(7)) = 3038.23
Therefore, the largest integer n such that 7ⁿ divides 1000! = 3038
Which gives, 1000! ÷ 7³⁰³⁸ = 1.5733.
What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
I REALLY NEED HELP MY DAD YELLED AT ME
Answer:
2/3
Step-by-step explanation:
f(x)=g(x)
-3x+4=2
Add 3x
3x+2=4
subtract 2
3x=2
divide by 3
x=2/3
Answer:
x= 2/3
Step-by-step explanation:
The value where f(x) = g(x) is where the two functions intersect
That would be at
f(x) = g(x)
-3x +4 = 2
Subtract 2 from each side
-3x = -2
x = 2/3
We know the y value. Substitute x into the equation
g(2/3) = 2
y = 2
The point is (2/3,2)
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
Evaluate: (-2/3*3/4) -1
Answer:
[tex] = ( - \frac{2}{3} \times \frac{3}{4}) \times ( - 1) [/tex]
[tex] = \frac{( - 2) \times ( - 1)}{4} [/tex]
[tex] = \frac{ + 2}{4} [/tex]
[tex] = + \frac{1}{2} [/tex]
Here's your answer girlfriend
Please follow me
What is the area of the triangle given below? 2 and 6
Answer:
6 sq. units
Step-by-step explanation:
The area of a triangle is base times height divided by 2.
[tex]\frac{bh}{2}[/tex]
[tex]\frac{6 \times 2}{2}[/tex]
[tex]\frac{12}{2} =6[/tex]
Answer:
D. 6
Step-by-step explanation:
The formula for the area of a triangle is A=1/2bh. In this case, the base is 6 and the height is 2. The work is below:
A=1/2bh
A=1/2(6)(2)
A=1/2(12)
A=6
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Can someone please help me with this I don’t get it please help me
Answer:
13.3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AM AN
---------- = ------------
AM+AB AC
6 8
---------- = ------------
6+4 AC
Using cross products
6AC = 8 * 10
6AC = 80
Divide by 6
AC = 80/6
AC =13 1/3
AC = 13.33333
Answer:
11
Step-by-step explanation:
add
FOR BRAINLIEST ANSWER, SOLVE APPLICATION USING ALGEBRA. TYPE THE EQUATION OR INEQUALITY AND PLEASE SHOW WORK. a) If the sales tax on a purchase came to $48, what was the original price (before tax) and what is the final price (after tax)? (Use 6% for the sales tax rate).
Step-by-step explanation:
before tax it would be 6/100×48=$2.88
so therefore before tax = $48-2.88=$45.12
final price after tax =$48+2.88=$50.88
2 less than a number times 6
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
Which of the following is false about investing with borrowed money? (5 points)
another question I need help ! answer ASAP please .
Answer:
35
Step-by-step explanation:
Since we know the amounts of each vitamin per serving all we have to do is find the difference.
We do this by subtracting 90 from 125.
125 - 90 = 35
In triangle ABC, the right angle is at vertex C, a = 714 cm and the measure of angle A is 78° . To the nearest cm, what is the length of side c?
Answer:
c = 730 cm
Step-by-step explanation:
To solve this question we just need to use the law of sines:
The ratio between a side in the triangle and its opposite angle is always the same.
So we have that:
[tex]a / sin(A) = c / sin(C)[/tex]
[tex]714 / sin(78) = c / sin(90)[/tex]
sin(78) is equal 0.9781 and sin(90) is equal 1, so we have:
[tex]714 / 0.9781 = c / 1[/tex]
[tex]c = 714 / 0.9781 = 730\ cm[/tex]
The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
What is an equivalent equation solved for y2?
Answer:
y2 = m(x2-x1)+y1
Step-by-step explanation:
Given the formula for finding the slope of a linear equation to be;
m = y2-y1/x2-x1 where x and y are from the ordered pairs (x1,y1) and (x2,y2)
To get the equivalent equation for y2, we will make y2 the subject of tbw formula from the equation as shown:
m = y2-y1/x2-x1
Cross multiplying
m(x2-x1) = y2-y1
mx2-mx1 = y2-y1
Adding y1 to both sides of the equation we have;
mx2-mx1 + y1= y2-y1+y1
y2 = mx2-mx1 + y1
y2 = m(x2-x1)+y1
This gives the resulting equation to solve for y2
Answer:
c
Step-by-step explanation:
edg
anyone get this ? (geometry)
I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer
C
Step-by-step explanation:
PRIMERO ENCUENTRAS x
y = 6x - 5
y = x + 5 (-1)
5x + 10
x = 10/5 = 2
ENTONCES 2 SE SUSTITUYE EN CUALQUIERA DE LAS DOS ECUACIONES
ORIGINALES.
y = 62) - 5 = 7
in the year 2012 a farmer harvested 144 bags of maize.the following year the harvest decreased in the ratio 3:4.What was the total number of bags harvested for the two years
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.