This experiment has 36 possible combinations, and we will see that:
P(they win) = 0.22P(they loose) = 0.11How to get the probabilities?
First, we need to find the total number of outcomes.
We have two dice with 6 outcomes each, so the total number of outcomes of the experiment of tossing the two dice is:
C = 6*6 = 36
Such that the sample space is all the numbers between 2 and 12 (because our variable is the sum of the two values).
Now, to get the probability of winning we need to count the number of outcomes that add to 7 or 11, these are:
(Add to 7)
dice 1 dice 2
1 6
2 5
6 1
5 2
4 3
3 4
(Add to 11)
dice 1 dice 2
5 6
6 5
So there are 8 outcomes, then the probability of winning is:
P = 8/36 =0.22
The probability of losing is when the sum adds to 2, 3, or 12.
The outcomes that add to that:
(Add to 2)
dice 1 dice 2
1 1
(Add to 3)
dice 1 dice 2
1 2
2 1
(Add to 12)
dice 1 dice 2
6 6
There are 4 outcomes that add to these values, so the probability of losing is:
P = 4/36 = 0.11
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3/4(x+8)=9 In the equation shown, what is the value of xx that makes the equation true?
Answer:
x = 4
Step-by-step explanation:
here's my work :D
Answer:
x = 4
Step-by-step explanation:
3/4(x + 8) = 9 <== convert the fraction to a decimal
0.75(x + 8) = 9 <== distribute
0.75x + 6 = 9 <== subtract 6 from both sides
- 6 - 6
0.75x = 3 <== divide both sides by 0.75 to isolate the variable
/0.75 /0.75
x = 4
Hope this helps!
1
(2 × 105) + (5 × 104)
4.52+10.82
4
Answer:
a) 5.85
b) 0.0004
Step-by-step explanation:
[tex]a) \: \: \sqrt{ \frac{ {4.5}^{2} + {10.8}^{2} }{4} } \\ \\ = \sqrt{ \frac{ 20.25 + 116.64 }{4} } \\ \\ = \sqrt{ \frac{136.89}{4} } \\ \\ = \sqrt{34.2225} \\ \\ = 5.85 \\ \\ b) \: \: \frac{1}{(2 \times {10}^{5} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20\times {10}^{4} ) + (5 \times {10}^{4}) } \\ \\ = \frac{1}{(20 + 5) \times {10}^{4} } \\ \\ = \frac{1}{25 \times {10}^{4} } \\ \\ = 0.04 \times {10}^{ - 4} \\ \\ = 0.0004[/tex]
Five friends plan to split a restaurant bill evenly. The total cost of the meal is $89.75, and they want to leave a 20% top. What amount should each friend pay?
Answer:
$21.54
Step-by-step explanation:
89.75 x .2 = 17.95
17.95+89.75=107.70
107.70/5=21.54
Q17.
Jim wants to buy 10 rolls of wallpaper
He sees these prices.
Wallpaper
Single roll £12. 50
Pack of 3 rolls
£34. 50
Pack of 5 rolls
€58. 75
What is the cheapest price for 10 rolls?
What is the mean of the data set?
{2, 5, 1, 7, 6, 4, 3}
Enter your answer in the box.
Your answer is 4.
Explanation:--
The Mean of the Data set is ---
2+5+1+7+6+4+3
7
= 4.
Hence, Mean of the data set is 4.
Answer:
To find the mean, you must add all the numbers and divide it by the amount of numbers in the set.
2 + 5 + 1 + 7 + 6 + 4 + 3
= 28
28 divided by 7 = 4
The answer is 4
Step-by-step explanation:
The arithmetic mean is the simple average, or sum of a series of numbers divided by the count of that series of numbers.
In the world of finance, the arithmetic mean is not usually an appropriate method for calculating an average, especially when a single outlier can skew the mean by a large amount.
Other averages used more commonly in finance include the geometric and harmonic mean.
If you borrow $700 for 5 years at
an annual interest rate of 7%, how
much will you pay altogether?
Answer:
its 945 or 982
Step-by-step explanation:
If you invest $8,600 at a 3.95% simple annual interest rate, approximately how long will it take for you to have a total of $21,000? a. 25.3 years b. 36.5 years c. 45.9 years d. 60.7 years
The time taken to have a total of $21,000 is 36.5 years.
To calculate the time it takes to reach $21,000 with a simple annual interest rate, we can use the formula for simple interest:
Interest = Principal × Rate × Time
Where:
Interest is the additional amount earned on the initial investment (in this case, the difference between $21,000 and $8,600),
Principal is the initial investment ($8,600),
Rate is the annual interest rate (3.95% expressed as 0.0395),
and Time is the unknown variable we want to find.
We can rearrange the formula to solve for Time:
Time = Interest / (Principal × Rate)
Let's plug in the values:
Interest = $21,000 - $8,600 = $12,400
Principal = $8,600
Rate = 0.0395
Time = $12,400 / ($8,600 × 0.0395) ≈ 36.5
So, it will take approximately 36.5 years to have a total of $21,000.
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A (___________________) includes information
about how well you manage money.
A credit card
B checking account
C work-study program
D credit history
Answer: d credit history
Step-by-step explanations :
A puppy and a kitten are 180 meters apart when they see each other. If the puppy can run at a speed of 25 meters per second, and the kitten runs at a speed of 20 meters per second. How soon will they meet if they simultaneously start running toward each other?
Answer:
it will take 4 seconds
it takes the puppy 25 seconds and the cat 20 seconds
20+25= 45
180 divide by 45 = 4 seconds your answer is 4 seconds
your welcome!
Charlene has a monthly salary of $3,410. with her present budget, charlene has a net income that is 7% of her monthly salary. charlene is going to reduce her net income by $125 each month and put this money towards paying down her debt. what will charlene’s new net income be? a. $113.70 b. $176.70 c. $229.95 d. $238.70
Charlene has a monthly salary of $3,410. with her present budget, the corrected net income is $113.70
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Charlene has a monthly salary = $3,410.
Charlene has a net income that is 7% of her monthly salary.
The computation of the new net income is shown below
= Monthly salary × net income percentage - reduced amount of net income per month
= $3,410 × 7% - $125
= $113.70
Hence, the corrected net income is $113.70
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A customer at a video game store pays $420 for 6 games and 2 controllers. A second customer pays $180 less than the first customer for 2 games and 4 controllers. The price of each game is the same, and the price of each controller is the same. Which system of equations can be used to find the price, in dollars, of each game, g, and each controller, c
The linear system with two variables is used to find the price. The price of each game is $60 and the price of each controller is $30.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A customer at a video game store pays $420 for 6 games and 2 controllers.
A second customer pays $180 less than the first customer for 2 games and 4 controllers.
The price of each game is the same, and the price of each controller is the same.
Let x be the price of games and y be the price of the controller. Then the equations will be
6x + 2y = 420 ...1
2x + 4y = 240 ...2
By solving the equations 1 and 2, then we have
x = 60 and y = 30
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1+1 =
9+10 =
6+9 =
4+20 =
Apple + Orange =
Trick questions!!!
help i don't understand
A rectangular prism has a volume of 120 cubic inches. The length of the prism is 5 inches, the width iS (x-2) inches, and the height is (x+3) inches. What are the width and height of the prism?
A
width: 6 in., height: 4 in.
B
width: 8 in., height: 3 in.
width:
in. height: 6 in.
D
width: 3 in., height: 8 in.
d
What is 4.78 as a percent
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write the quadratic equation in factored form. Be sure to write the entire equation.
x 2 - 5x - 24 = 0
Answer:
x=x2-24/5
2 −24
Step-by-step explanation:
x2−5x−24=0
Add 5x to both sides. Anything plus zero gives itself.
x
2
−24=5x
Add 24 to both sides.
x
2
=5x+24
What is the missing angle?
3x + 27 =180
-27
3x = 153
÷3
x = 51
a=142
(vertically opposite angles are equal)
Reflex angles adds up to 360
360 - (142x2) = 76
76/2 = 38
t & c = 38
Hope this helps!
Answer:
Here you go :) if you need anything tell me!
Which equation represents an exponential function?
3
x
4
3
x
4
3 x to the 4th power
3
(
4
)
x
3
(
4
)
x
3 times 4 to the x th power
3
x
−
4
3
x
−
4
3 x to the negative 4 power
3
x
3
x
3 x
Answer:
pls why did you decide to type vertically, you could have typed it horizontally for clearer understanding, thanks.
Step-by-step explanation:
by my analysis
the answer should be the first option
3x to the 4th power
mathematically 3x^4.
I need help on way more then just thisT-T-math-
Answer:
Your answer is B) 3.6 cm.
Step-by-step explanation:
10 mm = 1 cm. To convert 36 mm to cm all you have to do is divide by 10.
36/10 = 3.6
So, 36 mm = 3.6 cm.
In the future, if you were to convert cm to mm, just multiply by 10.
please help, thanks if you do
Answer:
Step-by-step explanation:
f(x) = (-2)^x
x = 3 from the left
f(3) = (-2) ^3
f(3) = (-2) * (-2) * (-2)
f(3) = - 8
You have to realize that you are working with an exponential equation (that is x is a power, not a variable. A variable equation would be written as y = 3x
pls help, its due today. !!!
Answer:
its dark blue
Step-by-step explanation:
8. Identify the constant of proportionality between the perimeter of the square below and its side length.
Answer:
yes
Step-by-step explanation:
I believe the yes is yes
A county in north carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile. how many deer live in the county? round to the nearest whole number, if necessary. 48 deer 68 deer 5,852 deer 5,992 deer
Answer:
C
Step-by-step explanation:
The total population of Deer's in the given span area is 5852 Deer's.
What is population density?Population density is defined as the total number of humans presence
per unit square miles. Mathematically, we can write -
Population density = (Total human population)/(Total span area)
Given is that a county in north Carolina spans 532 square miles. the population density of deer in the county is 11 deer per square mile
We can write the total population of Deer's in the given span area as -
Population = Deer's population density x total area span
Population = 11 x 532
Population = 5852
Therefore, the total population of Deer's in the given span area is 5852 Deer's.
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HELP! WILL GIVE BRAINLEST! What is the approximate degree measure of an angle of 4.59 rad?
Answer:
263 degrees......... ........
Step-by-step explanation:
263 is the answer.
Don't spam!
correct solution and answer= Brainliest answer
So
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow sin45=\dfrac{P}{6}[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{1}{\sqrt{2}}=\dfrac {P}{6}[/tex]
[tex]\\ \rm\Rrightarrow P=\dfrac{6}{\sqrt{2}}[/tex]
[tex]\\ \rm\Rrightarrow P=3\sqrt{2}[/tex]
Point W is located at (-2,3) on a coordinate plane. Point W is reflected over the x-axis to create Point W. Point W is then reflected over the y-axis to create point W. What ordered pair describes the location of point W?
Answer: W is now at (2,-3)
Step-by-step explanation: flip by the x-axis to turn (-2,3) to (-2,-3) then flip it on the y-axis to turn (-2,-3) to (2,-3).
What is the number between 80 and 90 that has seven as a factor
Answer:
the answer is 84
the graph shows the number of servings in different amounts of frozen yogurt listed on a carton. Enter an equation that gives the number of servings y in x pints. Use only decimal form, if necessary.
Answer:y=2.5x
Step-by-step explanation:
We have been given a graph that shows numbers of servings (y) in different amounts (x) of frozen yogurt listed on a carton.
To write an equation that gives the number of servings y in x pints, we will have to find the slope (rate of change) of our given linear function.
Since we know that rate of change of a function can be found by vertical change of the function divided by horizontal change of the function.
m= Slope (rate of change).
=Difference between two y-coordinates.
=Difference between corresponding x-coordinates of the y-coordinates.
Upon substituting coordinates of two points (0,0) and (4,10) in slope formula we will get,
The slope of our given line is 2.5.
Now we will write equation of our given line is slope-intercept form. The equation of a line in slope-intercept form is: , where m=slope and b = y-intercept (initial value).
Upon substituting m=2.5 and coordinates of point (4,10) in slope-intercept form of equation we will get,
Upon substituting m=2.5 and b=0 in slope-intercept form of equation we will get,
Therefore, the equation will give the number of servings y in x pints.
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)
ln z(z − 1)^8, z > 1
Answer:
[tex]\ln z + 8\ln (z-1)[/tex]
Step-by-step explanation:
[tex]\ln z(z-1)^8[/tex]
Using the product rule: [tex]\ln(xy)=\ln x + \ln y[/tex]
[tex]\implies \ln z + \ln (z-1)^8[/tex]
Using the power rule: [tex]\ln x^n=n \ln x[/tex]
[tex]\implies \ln z + 8\ln (z-1)[/tex]
[tex]\\ \rm\Rrightarrow lnz(z-1)^8[/tex]
[tex]\\ \rm\Rrightarrow lnz+ln(z-1)^8[/tex]
lna^b=blna[tex]\\ \rm\Rrightarrow lnz+8ln(z-1)[/tex]
50 points pls help!!!!!!
Make sure you are right I will have to retake this if you are wrong
if the terminal point of Ø is (0,1), what is tan Ø?
undefined
1
1/2
0
Answer:
undefined
Step-by-step explanation:
Since, the terminal point of is (x,y), thus
[tex]tan[/tex] Ø [tex]\frac{y}{x}[/tex]
x-coordinate is 1 and the y-coordinate is 0. Using [tex]tan0=\frac{y}{x}[/tex] we get:
[tex]tan[/tex] ∅ [tex]=\frac{1}{0}[/tex]
[tex]tan[/tex] ∅ [tex]=0[/tex]
Therefore, tan Ø is undefined.
Or we can just do 1/0 which is undefined
~Lenvy~