Answer: 10773
Step-by-step explanation:
.75^10=0.0563
look at 8, 9, 10
8 the probability is 10C8*0.75^8*0.25^2=0.2816
9 the probability is 0.1877 using the same approach
At least 8 is 0.5256
At most 4 is
0 .25^10=essentially 0
1: 10C1*0.75*0.25^9=<0.0001
2: 45*0.75^2*0.25^8=0.0004
3: 120*0.75^3*0.25^7=0.0031
4: 10C4*0.75^4*0.25^6=0.0162
That sum is 0.0197
Answer:
480 m²
Step-by-step explanation:
A = bh/2
A = 64 m × 15 m / 2
A = 480 m²
Answer:
h = a + b * t, this equation gives you the height of the candle after t hours, where:
h = height of the candle
t = hours of burning
a = the y intercept
b = the slope
Step-by-step explanation:
In your problem says that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. This means that the independent variable is t (hours of burning) and the dependent variable is h (height of the candle).
A linear function has the following form:
y = f(x) = a + bx
a is the constant term or the y intercept. It is the value of the dependent variable when x = 0.
b is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.
NOTE:
In order to find numerical values you need at least two points in order to find the slope (t1,h1), (t2,h2), with this equation:
b =
Next you find a when x = 0, y = a, where y is one of the points that you want to evaluate.
With these values you put them in this equation h = a + b * t and that's it! You will find the height of the candle after t hours.
Answer:
125
Step-by-step explanation:
Steps to Solving the Problem
So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.
To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.
Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.
We can write out five cubed as:
5^3
Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.
5 x 5 x 5
This shows us 5 friends multiplied by $5 multiplied by 5 days.
From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.
5 x 5 = 25
25 x 5 = 125
Answer:
No Solution
Step-by-step explanation:
Slope is rise/run
rise = 1
run = 0
you can't divide by 0 so no solution