Question:
You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?
Answer:
[tex]Probability = 0.262144[/tex]
Step-by-step explanation:
Represent the probability of winning with P(Win)
[tex]P(Win) = 20\%[/tex]
Required
Determine the probability of not winning 6 games
First, we calculate the probability of not winning a game.
Opposite probability add up to 1.
So, we have:
[tex]P(Win) + P(Lose) = 1[/tex]
[tex]P(Lose) = 1 - P(Win)[/tex]
[tex]P(Lose) = 1 - 20\%[/tex]
[tex]P(Lose) = 100\% - 20\%[/tex]
[tex]P(Lose) = 80\%[/tex]
The sample space of losing 6 games is:
Lose Lose Lose Lose Lose Lose
Therefore, the probability is:
[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]
[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]
[tex]Probability = 0.262144[/tex]
will give branliest
Simplify the follow expression
3x + 8y + 13x
Answer:
16x+8y
Step-by-step explanation:
Let's simplify step-by-step.
3x+8y+13x
Combine Like Terms:
=3x+8y+13x
=(3x+13x)+(8y)
=16x+8y
here is the question and again if you were on the other question and u get it right then i will give brainilst on both
Answer:
[tex]3x^3-3y-3[/tex]
Step-by-step explanation:
[tex]3-3+x^{3}+6x^{3}-3y-3-4x^{3}=3x^3-3y-3[/tex]
1.)
a^2b^3
---------- <-----write in expanded form.
cd
2.)what is the exact solution to the equation 4^5x=3^x-2
Please show all work I've been struggling to understand these questions!!!! thank you so much <3
Answer:
1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2.Exact solution x = -0.376
Step-by-step explanation:
Solution:
First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.
1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
Hence,
Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2) [tex]4^{5x} = 3^{x-2}[/tex]
Now, we have to find out the exact solution of the above equation:
In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.
So,
We are using logarithm to solve this equation.
Let's break this down:
[tex]4^{5x} = 3^{x-2}[/tex]
Taking log on both sides.
log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]
[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]
Dividing both sides by log(4)
[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]
value of log(3) = 0.4771
value of log(4) = 0.6020
[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =
5x = (x-2)0.792
5x = 0.792x - 1.584
by rearranging the equation, we get:
0.792x - 5x = 1.584
x(0.792 - 5) = 1.584
x(-4.208) = 1.584
x = -1.584/4.208
x = -0.376
Exact solution x = -0.376
Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.
Answer:
m = .45
p = .45w
______
.45 = 9/20
Explanation:
m is the rate of change equal to the price over the weight or p/w.
Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.
We can prove this by dividing each price by its weight to find this proportion.
1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45
1.71/3.8 = 171/380 = 9/20 = 0.45
2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.
Since equal the same value, this means that 9/20 or .45 is our proportion.
in terms of p = mw
p/w = 9/20.
p = mw → p/w = m → m = p/w = .45 .
Thus, p = .45w,
so m = .45.
Which means that for every .45 or 9/20 w or weight, there is a price of $1.
Evalute the root in the question below in the screenshot
(precalc)
Answer:
Graph attached
Step-by-step explanation:
jenkins-traub method for the complicate calculation
it has 1 real root: 1.5164
2 complex roots : neglected
Consider the inequality x + 7 < 9. Select all the true statements.
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}
Answer:
0
6
Step-by-step explanation:
<3
The ranges are:
f(x): {y | y ≤ infinity}
g(x): {y | y ≤ infinity}
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.
Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.
Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.
The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:
f(x): {y | y ≤ infinity}
For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.
The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.
Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:
g(x): {y | y ≤ infinity}
To learn more about the function;
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The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.
The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.
Answer:36
Step-by-step explanation:
You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)
From the figure and statement provided, select the proper TO PROVE Statement.
If two parallel planes are cut by a third plane, the lines of intersection are parallel.
MN= 1AB
AB- BC= AC
M is parallel to
AB= BC
a is parallel to B
Answer: a is equal to b
Step-by-step explanation:
Answer:
a is parallel to b
Step-by-step explanation:
Photo attached please help
Answer:
A
Step-by-step explanation:
conjugate means we flip the sign between the two terms.
the two terms here are 5 and √(x+4), with a minus sign in between. we flip the minus sign to a plus sign to find the conjugate.
A fits this
3 1/4 x 6 1/2 x 2=? I need help please!!
Answer:
42.25
Step-by-step explanation:
Answer:
[tex]\frac{169}{4}[/tex] or 42.25
Step-by-step explanation:
If you turn the fractions into decimals they become easier to multiply.
1) 3.25 x 6.50 = 21.25
2) 21.25 x 2 = 42.25
Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.
Answer:
how bad do u need this answer 1 through 10
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
please help asap!!!!!
Answer:
angle RQS
Step-by-step explanation:
If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets
Answer:
$63
Step-by-step explanation:
First, divide 28 by 4 to get 7
Now we know that one ticket cost $7.
Do 7 times 9 to get 63
9 tickets costs $63
9 movie tickets would cost $63.
Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.
May I have brainliest please? :)
What is the solution to the equation/x+4+3/2x+8 = 0?
O x=-12
O x=4
O x= 4
O x= 12
How can you rewrite -8 -− 10 as an addition problem?
A:-8- -10
B -8+10
C-8+18
D-8+ -18
Answer:
B. -8+10
Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .
Hope it helps :)
Work out 5/7
of 100.
Give your answer correct to the nearest whole number.
Answer: 71
Step-by-step explanation: 100x (5\7) = 71.4
Answer:
71.5
Step-by-step explanation:
5/7 of 100=(5×100)÷7=500÷7=71.5
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
To learn more on subtraction click:
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Select the correct answer.
Which equation is equivalent to the given equation?
-4(x-5)+8x=9x-3
Answer:
b, its the logical answer
Step-by-step explanation:
The value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is -4(x-5)+8x=9x-3. The solution to the expression is given below:-
-4(x-5)+8x=9x-3
-4x + 20 + 8x= 9x - 3
4x - 9x = -20 - 3
-5x = -23
Therefore, the value of the expression -4(x-5)+8x=9x-3 will be -5x = -23 The correct option is D.
To know more about an expression follow
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Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only
Answer:
Rick sells each guitar for 90$
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answer:
4, 7 ,2
Step-by-step explanation:
a line has slope -3 and the y intercept is 7. what is the slope intercept form of the line?
Answer:
y = -3x + 7
Step-by-step explanation:
[tex]y = mx + b[/tex]
m = slope
b = y intercept
eq:
[tex]y = - 3x + 7[/tex]
Help pleaseeeeeee I’m so lost
Answer:
yes no no yes
Step-by-step explanation:
Big burgers restaurant just got a shipment of ground beef that was 384 oz they make one pound burgers how many burgers can they make with the shipment that they received
What is the slope of the line that passes the points (6,-10) and (3,-13) write your answer in the simplest form
Answer:
1
Step-by-step explanation:
what is the volume of the figure?
Answer:
944 cubic feet
Step-by-step explanation:
You need to take the area of the figure separately.
[tex]8*10*5=400[/tex]
[tex]17*8*4=544[/tex]
400 + 544 =944