The number of marbles in the bag illustrates probability
The conclusion about the number of marbles in the bag is that the bag can only contain one type of marble
The number of marbles in the bag?The probabilities are given as:
P(Red) = 1
P(Green) = 1
For a distribution, the sum of all probabilities must equal to 1.
This means that:
P(Red) + P(Green) = 1
So, we have:
1 + 1 = 1
This gives
2 = 1
The above equation is false because 2 does not equal to 1.
So, the conclusion about the number of marbles in the bag is that the bag can only contain one type of marble i.e. either red marbles are in the bag or blue marbles are in the bag
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F(x) =3x+8 find the inverse of f(x)
Answer:
Step-by-step explanation:
Hi!
To find the inverse, first we express your function as:
y = 3x - 8
Then, we interchange x and y variables:
x = 3y - 8
From there, we isolate y:
x + 8 = 3y
x/3 + 8/3 = y
Then, the inverse, g(x) = (x+8)/3.
We can check this by getting g(f(x)):
(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.
This is correct by the definition of the inverse function.
You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.
If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).
This means g(y) = (y+8)/3, the same answer.
Hope this helps!
You go to the Yellowbox to get 5 rentals for the weekend. Movies rent for $2 and video games rent for $3. You end up spending $13
Be sure to answer EACH of the following parts below:
• Define your variables.
• Write a system of equations that describes the number of movies and video games rented.
• Solve the system. Show all of your steps.
.
How many of each item did you rent?
Answer:
Variables
Let m = number of movies rented
Let g = number of video games rented
Given:
cost of renting one movie = $2cost of renting one video game = $3total money spent = $13total rentals = 5System of equations
m + g = 5
2m + 3g = 13
Solution
Rewrite m + g = 5 to make m the subject:
⇒ m = 5 - g
Substitute this equation into 2m + 3g = 13 and solve for g:
⇒ 2(5 - g) + 3g = 13
⇒ 10 - 2g + 3g = 13
⇒ 10 + g = 13
⇒ g = 3
Substitute found value of g into m = 5 - g and solve for m:
⇒ m = 5 - 3
⇒ m = 2
Therefore, 2 movies and 3 video games were rented.
pls solve the following math from trigonometry
Step-by-step explanation:
[tex] \tan(2x) = 1.5[/tex]
Take the arc tangent,
[tex] \tan {}^{ - 1} ( \tan(2x) ) = \tan {}^{ - 1} (1.5) [/tex]
[tex]2x = 56.3[/tex]
[tex]x = 28.15[/tex]
b.
[tex](3 \cos(x) + 1)(2 \cos(x) + 3) = - 2[/tex]
[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 3 = - 2[/tex]
[tex]6 \cos {}^{2} (x) + 11 \cos(x) + 5 = 0[/tex]
[tex]6 \cos {}^{2} (x) + 6 \cos(x) + 5 \cos(x) + 5 = 0[/tex]
[tex]6 \cos(x) ( \cos(x) + 1) + 5( \cos(x) + 1) = 0[/tex]
[tex](6 \cos(x) + 5)( \cos(x) + 1) = 0[/tex]
Set each factor equal to zero.
[tex]6 \cos(x) + 5 = 0[/tex]
[tex]6 \cos(x) = - 5[/tex]
[tex] \cos(x) = - \frac{5}{6} [/tex]
[tex]x = \cos {}^{ - 1} ( \frac{5}{6} ) [/tex]
[tex]x = 146.4[/tex]
For the second factor,
[tex] \cos(x) + 1 = 0[/tex]
[tex] \cos(x) = - 1[/tex]
[tex]x = 180[/tex]
So the answer for the second one is
146.4 and 180.
Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
49
Step-by-step explanation:
So, you can just do 245x1/5.
I got 1/5 from "how many did she LOSE?"
5/5-4/5=1/5.
She lost 49 games.
2. A vanilla milkshake recipe calls for 3/8 cups of vanilla ice cream for every 1/3 cups of milk. How many cups of vanilla ice cream would be needed for 1 cup of milk?
(ಠ_ಠ)>⌐■-■. (⌐■-■)
Answer:
1 1/8 cups of vanilla for a cup of milk.
Step-by-step explanation:
v-3/8 m-1/3
v-6/8 m-2/3
v-1 1/8 m-1
Tanslate the sentence into an equation
The sum of 4 times a number and 8 is 5.
Use the variable for the unknown number
Answer:
4x+8 =5
Step-by-step explanation:
sum = +
times = Multiply
is = =
4*x +8 = 5
Answer:
4x+8=5
Step-by-step explanation:
Let's assume the number is x
Four times x plus 8 is 5
4x+8=5
***Optional
If you need to solve it...
4x+8=5
4x=-3
x= - [tex]\frac{3}{4}[/tex]
Hope this helps! :D
i’m confused … i need helo
What is Limit of 4 Superscript x Baseline cosine (pi x) as x approaches negative 2?
–16
–8
StartFraction 1 Over 16 EndFraction
StartFraction 1 Over 8 EndFraction
Answer: Choice C
The fraction 1/16
In other words the "StartFraction 1 Over 16 EndFraction"
=============================================================
Work Shown:
[tex]\displaystyle L = \lim_{x \to -2}4^x\cos(\pi x)\\\\\\L = 4^{-2}\cos(\pi (-2))\\\\\\L = \frac{1}{4^2}\cos(-2\pi)\\\\\\L = \frac{1}{16}\cos(2\pi)\\\\\\L = \frac{1}{16}(1)\\\\\\L = \frac{1}{16}\\\\\\[/tex]
The limit of the function f(x)=[tex]4^{x}[/tex]cos(πx) is 1/16 which is start fraction 1 over 16 end fraction.
What is limit of function?The limit is the extent to which the value of function exists.
How to find limit of function?The function which is given is f(x)=[tex]4^{x}[/tex]cos(πx) and we have to find the limit of f(x).
L.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}cos([/tex]πx)
Put x=-2-h
[tex]\lim_{h \to \0} 4^{-2-h}cos([/tex]π(-2-h)
put h=0
=[tex]4^{-2} cos(2[/tex]π)
=[tex]4^{-2}*1[/tex] {cos(2π)=1}
=1/16
R.H.L of f(x)
[tex]\lim_{x \to \-2} 4^{x}[/tex] cos(πx)
Put the value of x=-2+h
=[tex]\lim_{h \to \0}4^{-2+h}[/tex] cos{π(-2+h)}
Put the value of h=0
=[tex]4^{-2}*cos(2[/tex]π)
=1/16
L.H.L=R.H.L
Hence the limit of the function [tex]4^{x}cos([/tex]πx) is 1/16.
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An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Less Likely
Step-by-step explanation:
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
Therefore, the answer must be B, Less Likely.
It happens less than half the time, but can at times happen.
Hope this helps!
The solution is, Less Likely, best describe the likelihood of this event.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
An event has a probability of 2/7.
now, we get,
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
It happens less than half the time, but can at times happen.
Therefore, the answer must be B, Less Likely.
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Help a fella out :)))))))
Answer:
5280 ft/1 mi, 1848 ft
Step-by-step explanation:
Whatever unit is given on the top (miles), you will write it on the bottom of the second fraction. Since we are solving for length in feet, we know that the numerator will be in feet. The only answer choice that has this option is 5280 ft/ 1 mi. You can check this math by taking 0.35 of 5280 feet, or 1 mile = 1848 ft.
[tex]\frac{0.35 mi}{1} *\frac{?ft}{?mi}[/tex]
[tex]\frac{0.35 mi}{1} *\frac{5280 ft}{1mi}[/tex] (miles cancels out, left with feet)
[tex]\frac{1848ft}{1}[/tex]
1848 feet
I hope this helps!
One of the corners of a rectangle is shown.
A diagonal splits the corner into two angles.
20
Х.
Diagram not
drawn to scale
Work out the size of angle x.
Answer:
70 degrees
Step-by-step explanation:
rectange angle total = 360
1 corner = 90
90-20 = 70
What operation does the key word " increase" tell you to do?
Explanation:
The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".
Example: 3 is increased by 4.
⇒ 3 + 4
Notice that the addend (3) is being increased (+) by 4.
solve this 6(x+4)+1=x+5
[tex] \sf :\implies \quad {\pmb{x = - 4}}[/tex]
Solution:Let's solve the given equation step by step ;
[tex] \sf :\implies \quad 6(x + 4) + 1 = x + 5[/tex]
The first step is to distribute the equation:
[tex] \sf :\implies \quad (6 \times x ) + (6 \times 4) + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 24 + 1 = x + 5[/tex]
[tex] \sf :\implies \quad 6x + 25 = x + 5[/tex]
Second step is to combine the like terms:
[tex] \sf :\implies \quad 6x + 25 - x = 5[/tex]
[tex] \sf :\implies \quad( 6x - x) + 25 = 5[/tex]
[tex] \sf :\implies \quad 5x + 25 = 5[/tex]
Now, subtract 25 from both sides :
[tex] \sf :\implies \quad 5x + 25 - 25 = 5 - 25[/tex]
[tex] \sf :\implies \quad 5x = - 20[/tex]
Divide both sides by 5:
[tex] \sf :\implies \quad \dfrac{5x}{5} = - \dfrac{20}{5} [/tex]
[tex] \sf :\implies \quad \boxed{ \pmb{\sf x = - 4}}[/tex]
Hence, your answer is ; x = -4
What should we added to -3/20 to get 2 9/20
Answer:
2.60
Step-by-step explanation:
This is a strange way to solve the problem, but it works for me.
1. Convert to decimals
-3/20 = -.15
2- 9/20 = 49/20 = 2.45
2. Solve
2.45 - (-.15)
2.45 + .15 = 2.60
which function has the same y-intercept as the one below
Check the picture below, so let's check the equations below hmmm
[tex]\boxed{A}\\\\ y=\cfrac{16-3x}{4}\implies y=\cfrac{-3x+16}{4}\implies y = \cfrac{-3x}{4}+\cfrac{16}{4}\implies y=-\cfrac{3}{4}x\stackrel{\stackrel{b}{\downarrow }}{+4}~\hfill \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]\boxed{D}\\\\ y+4=2x\implies y=2x\underset{\stackrel{\uparrow }{b}}{-4}\qquad \textit{\Large \checkmark}\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Express the following ratio: 20 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answer:
5 inches : 6 inches
Step-by-step explanation:
20 inches : 2 feet
Use Hint: 1 feet = 12 inches
20 inches : 2·12 = 24 inches
Find the simplest form of 20 inches : 24 inches
20 inches : 24 inches , divide both numbers by 2
10 inches : 12 inches, divide both numbers by 2 again
5 inches : 6 inches
can someone help me with this question
b is a answer
Step-by-step explanation:
formula
=a+b/2×h
Answer: 126 mm^2.
Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half. The steps are done below:
First, we need to find the bases and the height. The bases are are circled below, but it's basically the top and bottom lengths of the triangle. Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you. All you need is to assign each base with a top or bottom length. The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height. It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways. You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.Have a great day! :)
HELP MEEE , need the right answer
Answer:
A
Step-by-step explanation:
We do the opposite.
Answer: A. c = nv
Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.
First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.
Please help, this is due today for my homework!
2 spinners have three options. One has 1,2,3 while the other one has A,B,C. What is the probability of spinning a vowel and not spinning a 1?
Answer:
*** "and" means multiply
2/9
Step-by-step explanation:
*** "and" means multiply
spinning a vowel is 1/3
not spinning a 1 is 2/3
1/3 times 2/3 is 2/9
3 X-5y= -3
3x-5y=11
please show work
Which of these numbers is the greatest?
0.29
0.27
0.21
0.28
Answer:
0.29
Step-by-step explanation:
greatest numberrr
Im stuck on this problem. Please explain how you got your answer
The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
Population Growth Equation
The formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
[tex]y=0.3^x[/tex], then
Pf=y
Po= 1
[tex](1+\frac{R}{100}) =0.3[/tex] , thus
[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
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Answer number 1 please. Thank you.
A bird flies up and then down again, approximately following the
parabola y = -0.5x^2 + 15x. y measures height in feet.
Approximately what is the highest height that the bird flew to?
Answer:
112.5 ftStep-by-step explanation:
The maximum is achieved at vertex of parabola.
The x- coordinate of the vertex is determined by x = - b/(2a).
x = - 15/(-0.5*2) = 15The maximum height is the corresponding y- coordinate
y = - 0.5(15²) + 15(15) = 112.5 ftFind vertex
x coordinate
-b/2a-15/-115Y coordinate (Max height)
y=-0.5(15)²+15(15)y=-0.5(225)+225y=112.5ftFOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.
Answer:
The answer is
→ 18:32
Step-by-step explanation:
The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.
Boys:
3 x 4 = 12
or
3 + 3 + 3 + 3 = 12
Girls:
4 + 4 + 4 + 4 + 4 = 20
or
4 x 5 = 20
20 + 12 = 32
Hope this helped! :^)
- ✨7272033Alt✨
there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.
Answer:
35 : 28
Step-by-step explanation:
Check the attachment.
Please help me . 8,10,11!
Bentley's rectangular desktop measures 39 1/2in long and 24 3/4in wide what is the area of his desktop
Answer:
95,013
Step-by-step explanation:
If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!
WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)
Answer:
A. 5.0 * 10⁻⁹ J
Step-by-step explanation:
Q is charge.
ΔV is electric potential energy.
All we have to do is plug both values in.
PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J
Answer:
A.
Step-by-step explanation:
Plug the values in and there is your answer.
I hope it helps! Have a great day!
Anygays-
Is this correct?!? Please tell me
Step-by-step explanation:
It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"
Answer:
Binomial with degree 5
Step-by-step explanation:
The polynomial 3x⁵ + 3 is a binomial with degree 5.
Why?
This option is correct because:
3x⁵ + 3 has two terms & hence is a binomial.Also, the highest exponential power in this polynomial is 5 & hence it's degree is also 5.[tex]\rule{150pt}{2pt}[/tex]
