An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space for the given situation is {CC, AC, CA, AA}.
What is a sample space?An experiment's or random trial's sample space is the set of all conceivable outcomes or results. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.
For the given situation, Let Buying a classical ticket be represented by T, while buying an autograph event ticket is represented by S.
Therefore, The sample space for buying either a classic ticket T or an autograph event ticket S from the table = {TT, TS, ST, SS}.
Hence, the sample space for the given situation is {TT, TS, ST, SS}.
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2(x + 3) = x - 4 solve
Answer:
x=-10
Step-by-step explanation:
2(x+3)=x-4
2x+6=x-4
-2x -2x
6=-x-4
+4 +4
10=-x
-1 -1
-10=x
[tex] \Large{\boxed{\sf x = 10}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 2(x + 3) = x - 4 [/tex]
[tex] \\ [/tex]
Expand the left side using the following distributive property:
A(B + C) = AB + AC
[tex] \\ [/tex]
Here, A = 2, B = x, and C = 3.
We get:
[tex] \sf 2(x) + 2(3) = x - 4 \\ \\ \sf 2x + 6 = x - 4 [/tex]
[tex] \\ [/tex]
Now, subtract 6 from both sides:
[tex] \sf 2x + 6 - 6 = x - 4 - 6 \\ \\ \sf 2x = x - 10 [/tex]
[tex] \\ [/tex]
Subtract x from both sides :
[tex] \sf 2x - x = x - 10 - x \\ \\ \\ \boxed{\boxed{\sf x = -10}} [/tex]
[tex] \\ \\ [/tex]
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how do u find the surface area of all the prisms?
Graph (x - 2)2 + (y - 1)2 = 9 - Double tap to add text
Answer:
Step-by-step explanation:
(x−2)2+(y−1)2=9
This is the form of a circle. Use this form to determine the center and radius of the circle.
(x−h)2+(y−k)2=r2
Match the values in this circle to those of the standard form. The variable r
represents the radius of the circle, h represents the x-offset from the origin, and k
represents the y-offset from origin.
r=3
h=2
k=1
The center of the circle is found at (h,k)
.
Center: (2,1)
These values represent the important values for graphing and analyzing a circle.
Center: (2,1)
Radius: 3
Factor completely 16x8 − 1.
Answer:
Step-by-step explanation:
(4x^4 - 1)(4x^4 + 1)
(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)
This figure shows three identical spherical billiard balls of diameter 6 cm inside an equilateral triangular frame.
Work out the perimeter of the frame, leaving your answer
in surd form.
Answer:
Perimeter = 18(1 + √3 ) cm
Step-by-step explanation:
The radius of each ball = 1/2 * 6 = 3 cm.
Lines drawn from the 2 points of contact for one billiard ball to the center of the ball are at right angles to the sides of the triangle ( Tangent/radius theorem).
If we now draw a line from the vertex of the big triangle to the center of the ball we get 2 right triangles, and they are 30-60-90 triangles.
If the adjacent side of a triangle ( which is part of the side of the big triangle) = x:
tan 30 = 3 / x
x = 3 / tan 30
= 3 / 1/√3
= 3√3 cm.
There are 6 of these sides in the big triangle so their total length =
18√3 cm.
The three 'middle' sides joining 2 billiard balls each have a length of 2 radii = 6 cms ( as they form a rectangle with the radii of 2 billiard balls).
So the perimeter of the triangle = 18√3 + 3(6)
= 18(1 + √3 ) cm
I would have liked to transfer a diagram but I can't get to copy it to this site.
what's the difference between dy/dx and d/dx?
Answer:
There is a slight difference but the result is the same.
In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.
In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.
Both notations mean ‘the function which is the differential of function y by x
How to do 2/5 = (x-3)/(7x+15)
Answer:
[tex]x = - 5 [/tex]
Step-by-step explanation:
To work out this question you have to first cross multiply.
[tex] \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)[/tex]
When you cross multiply you will get the equation above. Therefore
[tex](2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45[/tex]
Therefore
[tex] \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5[/tex]
Answer:
x = -5
Step by step:
multiply both side by 7x + 15.
2/5 (7x+15)= x − 3
Simplify 2)5 (7x+15) to 2(7x+15)/5.
2(7x+15)/5= x - 3
multiply both sides by 5.
2(7x+15)= 5x - 15
Expand.
14x+30= 5x - 15
subtract 5x from both sides.
14x+30−5x= − 15
Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.
9x+30= - 15
Subtract 30 from both sides.
simplify
x = -5
Need help please answer ASAP!
Answer:
39. (4) 4 1/16
Step-by-step explanation:
Simplifying
f(x) = 4x⁰ + (4x)⁻¹Any term to the power is equal to 1f(x) = 4(1) + 1/4xSubstituting x = 4
f(4) = 4 + 1/4(4)f(4) = 4 + 1/16f(4) = 4 1/16(4) 4 1/16A segment with endpoints at the center and on the circle.
Answer:
The set of points equidistant from a given point (the center). Radius : A segment with endpoints at the center and on the circle.
Step-by-step explanation:
SOMEONE HELP ME PLEASEE
Answer:
area: 165yd^2 perimeter:26yd or 33yd
Step-by-step explanation:
11ydx15yd= 165yd^2
11yd+15yd=26yd
Answer:
56.1, 36.2
Step-by-step explanation:
For this we need to use the Pythagorean Theorem, which is a^2+b^2=c^2. We have our a and c values, so we can make the equation 11^2+b^2=15^2, or 121+b^2=225. Next, we isolate b.
121+b^2=225
-121 -121
___ ___
0 104
b^2=104
Now, we have to find the square roots of both sides. If we do this, we get b= 10.2.
Now, we can find our perimeter:
11+15+10.2= 36.2
For area, the formula is 1/2(b)h (1/2 times the base and height), so:
1/210.2=5.1
5.1*11=56.1
Hope this helps!
PLEASE HELPPP!!!!
Which of the following is the best buy?
3 lb. for $5.13
2 lb. for $3.37
3.25 lb. for $5.53
1.5 lb. for $2.52
Answer:
3.25\
Step-by-step explanation:
Answer:
$2.52
Step-by-step explanation:
u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.
hope this helps:)!!
Pls help! I'm a bit confused!!
Answer:
Step-by-step explanation:
So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.
For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.
This way you can solve the rest of them.
Ask me if you get confused and we can work on rest of them.
Answer:
36529412.5112Step-by-step explanation:
Q1
k = 1010 + 2636Q2
n = 134(13)52Q3
a = 27 and b = 327/39Q4
x = 63(6) - 1418 - 144Q5
z = 2(2)² + 8.54 + 8.512.5Q6
x = 4 and y = 84(36 - 8)4(28)112Please help me,Please I have a class in 2 hours Please help me
To find the perimeter of a shape you add all the side lengths together.
Perimeter of A is 20cm because 7+7+3+3=20
Perimeter of B is 27cm because 9+8+10=27
Perimeter of C is 17cm because 6+6+5=17
Perimeter of D is 34cm because 10+10+4+4+3+3=34
On shape E there is one side length that we do not know. To find that do 8-3=5 because 5+3 would be the opposite side of the 8. Now do 5+8+8+4+12+3=40 cm which is the perimeter of shape E.
I hope this helps you have a good day
Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers
Answer:
[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
What is the value of y?
a.) 17.25
b.) 33
c.) 37
d.) 39
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25
Round 7.09 to the nearest tenth
Answer:
7.1
Step-by-step explanation:
To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.
The length of a rectangular poster is 9 more inches than two times its width. The area of the poster is 161 square inches. Solve for the dimensions (length and width) of the poster.
Answer:
Width = 7 inches
Length = 23 inches
Step-by-step explanation:
Let :
length = 2x + 9width = xEquating to area :
(2x + 9)(x) = 1612x² + 9x = 1612x² + 9x - 161 = 02x² - 14x + 23x - 161 = 02x(x - 7) + 23(x - 7) = 0x - 7 = 0x = 7Dimensions are :
Width = 7 inchesLength = 2(7) + 9Length = 23 inchesAnswer:
Length: 23 inches
Width: 7 inches
Explanation:
Width: wLength: 2w + 9Area of rectangle: Length × Width(2w + 9) × (w) = 1612w² + 9w - 161 = 02w² + 23w - 14w -161 = 0w(2w + 23) -7(2w +23) = 0w = 7, -11.5As length measure cannot be negative. Width is +7 inches
Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23
What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 21 observations
To find the degrees of freedom in the given question, we have to take into consideration of the confidence interval as well as degrees of freedom. The critical t-value in this data set is 2.086
What is Confidence Interval?This is the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
We can also say that it is a range of values so defined that there is a specified probability that the value of a parameter lies within it.
Data;
sample size (n) = 21degree of freedom (df) = n-1 = 21 - 1 = 20At a 95% confidence level, the t is
α = 1 - 0.95
The critical t-value in this data set is 2.086
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Help me with this extremely hard differentiation question , [Scroll] >>
[tex]\huge\frac{d}{dx}[\sum_{n=0}^{∞}[(\frac{(-1) ^ {n}}{(2n+1)!})(\frac{1}{1+e^{x}})^{2n+1}] ][/tex]
Answer:
[tex]f'(x)=\displaystyle -\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]
Step-by-step explanation:
Recall the power series [tex]\sin(x)=\displaystyle \sum\limits^\infty_{n=0}(-1)^n\frac{x^{2n+1}}{(2n+1)!}[/tex].
In this case, [tex]x[/tex] is replaced with [tex]\displaystyle \frac{1}{1+e^x}[/tex], so our power series actually works out to be [tex]\displaystyle \sin\biggr(\frac{1}{1+e^x}\biggr) =\sum\limits^\infty_{n=0}(-1)^n\frac{\bigr(\frac{1}{1+e^x}\bigr)^{2n+1}}{(2n+1)!}[/tex]! Amazing, huh?
Now, we find the derivative of the function by using the chain rule:
[tex]\displaystyle \frac{d}{dx}\sin\biggr(\frac{1}{1+e^x}\biggr)=\frac{d}{dx}\biggr(\frac{1}{1+e^x}\biggr)*\cos\biggr(\frac{1}{1+e^x}\biggr)=-\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]
You didn't specify if you just wanted the derivative of the series to be a function or a series, so I'm going to assume you want the function. Let me know if there's more to your problem.
Calculating Binomial Probabilities - Suppose you work for an airline and you are taking reservations for a flight on an aircraft that has 152 seats. You know, based on historical flights trends, that if you sell a single ticket there is a 91% chance that the person with the ticket will actually show up for the flight. You decide to try to make a little extra money by overbooking your flight and you sell 160 tickets hoping that not more than 152 people will actually show up for the flight (note: this is a common business practice! Click here to watch a video that explains why)
Explain how this scenario meets the four requirements in the definition of a Binomial Distribution.
Identify what n and p are in this example
Use technology (StatCrunch, Statdisk, or Excel) to calculate the probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available (again, the plane has 152 seats total). Post an image of your technology output using the Insert/Edit Image feature in Blackboard (no attachments!)
Based on this probability, do you think it is a wise business practice to oversell your flight in this manner? Explain.
The probability that if you sell 160 tickets for your flight, more passengers will show up than there are seats available is 0.02
How the scenario meet the requirements?The scenario meets the following requirements
The value of n is fixed i.e. 160The outcome has two possible values i.e. seats available or notThe chance that a person shows up is the same for each outcome i.e. p = 91%Each observation is independent.Identify n and pThe given parameters are:
n = 160
p = 0.91 i.e. 91%
x = 152
How to determine the probability?The distribution is a binomial distribution, and it is calculated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n -x}[/tex]
The probability is represented as:
P(x > 152) = P(153) + ..... P(160)
Using a technology tool, we have:
P(x ≤ 152) = 0.02
Conclusion on the calculationProbability values less than 0.25 are unlikely probabilities.
Because the probability value 0.02 is less than 0.25, then we can conclude that it is a wise business practice to oversell your flight in this manner.
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help me solve please!!!!!!!!!
The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total number of cards = 52
Total number of cards printed number on it = 36
The probability of drawing a number card and then number card without replacement:
[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]
= 1260/2652
= 105/221
Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
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Verify (x-2) is a factor
of Q(x)=x²-3x²-4x+12
Answer:
(x - 2) is not a factor of Q(x)
Step-by-step explanation:
if (x - h) is a factor pf f(x) then f(h) = 0
if (x - 2) is a factor of Q(x) then Q(2) = 0
Q(2) = 2² - 3(2)² - 4(2) + 12
= 4 - 3(4) - 8 + 12
= 4 - 12 + 4
= - 8 + 4
= - 4
since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)
However , if the polynomial was meant to be
Q(x) = x³ - 3x² - 4x + 12 , then
Q(2) = 2³ - 3(2)² - 4(2) + 12
= 8 - 12 - 8 + 12
= 0
then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12
Solve the following systems of equations. To unlock puzzle three
find the product of each solution (ordered pair -x and y value)
and then find the mean of all five products.
Answer:
Step-by-step explanation:
1,)
3x+y=4 <-Equation 1
2x-y=6 <-Equation 2
Step 1 Eliminating Y Multiply negative both side
-[3x +y = 4 ] -
-3x-y = -4 <-Equation 3
Equation 2 to Equation 3
2x-y=6
-
-3x-y = -4
= 5x = 10
x =2
Substituting X to Equation 1
3x+y=4
3(2) + y =4
6 + y = 4
y = -2
Therefore x =2 and y = -2
WILL MARK BRAINLIEST . PLEASE HELP . Pigeons can fly at a rate of 168ft every 6 minutes, and ravens can fly at a rate of 472ft every 12.5 mins. Which unit rate, per hour, represents the speed of the faster bird?
Answer:
2,265.60 ft/hr
Step-by-step explanation:
168ft/6min = 28ft/min * 60min= 1,680ft/hr
472ft/12.5min= 37.76ft/min * 60min= 2,265.60ft/hr
If you please tell me what this I will give 15 points and of thanks!
Answer:
y = x+8
Step-by-step explanation:
You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)
Answer:
y = x + 8
Step-by-step explanation:
Find the difference between each x and y-value :
Let's take the pair (18, 26)
y = x + _26 = 18 + __ = 8Jeremy finished 3/5 of his homework what percent of homework did he finish
Answer:
60%
Step-by-step explanation:
Percent means per hundred. Change to "per hundred"
3/5 = 6/10 = 60/100
3/5 is 60%
OR
Divide 3/5 means 3÷5...
3÷5 = .6
Change decimal to percent by multiplying by 100.
.6 × 100 = 60
60%
Answer:
60%
Step-by-step explanation:
well if they only finished 3/5 it’s going to be
60/100 = 60%
What is the radius of a hemisphere with a volume of 281,250 2.14 cm^3
Answer:
:
Answer:the radius would be 88cm
Step-by-step explanation:
radius. r = base circumference. C = volume. V = curved surface area.
If Kate has an apple, an orange, a pear, a banana, and a kiwi at home and she wants to bring three pieces of fruit to school, how many combinations of fruit can she bring?
125
3!
10
5!
Answer:
it 5
Step-by-step explanation:
is −1.28 a rational number?
The number -1.28 is rational if it is an integer or decimal, so yes it is.
Answer:
we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828 The mixed number is then equal to,
1 and 28/99 or 1 and 28 over 99
Therefore, the answer to this item is the second choice.
Step-by-step explanation:
My brother helped me with this one
In 2014 the population of Kenya was estimated to be 45,121,040 with a growth rate of 2.7%. Question 1 Use the exponential growth formula to write an equation that estimates the population y in terms of the time t. Enter your answer in the box. Then apply the exponential growth formula to estimate the population of Kenya in 2020. Round to the nearest whole number
Answer:
y = 45,121,040×1.027^t
Step-by-step explanation:
An exponential growth equation is generally of the form ...
value at time t = (initial value)(growth factor)^t
where the growth factor is the multiplier for a period equal to one time unit.
Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...
y = 45,121,040×1.027^t . . . . where t = years after 2014
