Using the fundamental counting theorem, it is found that:
a) 1296 combinations are possible.
b) [tex]6^n[/tex] combinations are possible.
The fundamental counting theorem states that for n independents trials, each with [tex]n_1, n_2, n_n[/tex] ways of being done, the total number of combinations is:
[tex]T = n_1 \times n_2 \times ... \times n_n[/tex]
Item a:
Four independent dice throws, each with six outcomes, thus:
[tex]T = 6 \times 6 \times 6 \times 6 = 6^4 = 1296[/tex]
Item b:
n independent dice throws, each with six outcomes, thus:
[tex]T = 6^n[/tex]
A similar problem is given at https://brainly.com/question/24067651
Please help me correctly..
i believe it's a parallelagram.
whats the square root of 1.69?
write the first five terms of the geometric sequence with the given 1st term and the common ratio.
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hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️
Answer:
an = a1 x r^n-1
-> a2= 3 x 4^2-1 = 3x4 = 12
a3= 3x4x4 = 48
a4 = 3x4x4x4 = 192
a5 = 3x4x4x4x4 = 768
Step-by-step explanation:
does anyone know how to do this
Step-by-step explanation:
So you're going to try to always make the equation be in a y= mx +b point slope form. It just makes creating a graph easier.
First, we're going to put x to the opposite side so it's in the y= mx + b form. Remember that every time you cross the equal sign you do the opposite -[tex]x^{2}[/tex] turns into + [tex]x^{2}[/tex].
y- [tex]x^{2}[/tex] = -1 becomes y = [tex]x^{2}[/tex] -1.
Now all you have to do is plug in values. I recommend you start off small, so they can fit in your graph.
An example would be x = 2 now you plug in to find y which is [tex]2^{2}[/tex] = 4 -1 = 3. So you graph the point (2, 3).
To find the x- intercept and y- intercept you need to plug in 0. For the y-intercept, plug in 0 for x, since you're trying to find the y.
y = [tex]0^{2}[/tex] - 1. The y-intercept is -1 or the point (0, -1)
For the x-intercept, plug in 0 for y, since you're trying to find the x.
0 = [tex]x^{2}[/tex] -1 . Because you're trying to find x, you need to isolate x. Move -1 to the other side. Again, remember since you're moving across the = sign it changes to be positive. 1 = [tex]x^{2}[/tex]. To get rid of squared, you're going to have to square root it. [tex]\sqrt{x^2}[/tex] = x and [tex]\sqrt{1}[/tex] = 1. So the x- intercept is 1 or the point (1, 0).
To make the graph, know that the y axis is vertical (up and down) and the x axis is horizontal (left right). So, the point (0,0) would be on the bottom left corner.
How do you graph y= 3x + 16 like bro I am on big math ideas I don’t know what to do helpppp
Your first point would be at (0,16) because that is the y-intercept. The you would go up 3 and over 1 to plot your next point so it would be at (1,19)
16:12:20 in lowest terms
Answer:
4:3:5
Step-by-step explanation:
16/4 = 4, 12/4 = 3, 20/4=5
y = 4 - 2x
please answer asap
Answer:
2
Step-by-step explanation:
I got this answer by:
1) y = 4 - 2x
2) Move 4 to the other side of the equal sign and make it negative because thats the rule
3) Divide -2 from both sides
4) Answer is 2
y-intercept =4/1
Step-by-step explanation:
ibrahim buys bags of coloured marbles blue marbles are sold in bags of 10 green marbles are sold in bags of 6 and white marbles are sold in bags of 12 ibrahim wants to buy an equal number of blue ,green and white marbles ,what is the smallest number of bags of each colour hecould buy
The smallest number of bags of each colour that he could buy is 60.
How to calculate the value?From the information, Ibrahim buys bags of coloured marbles. The blue marbles are sold in bags of 10 green marbles are sold in bags of 6 and white marbles are sold in bags of 12.
Since ibrahim wants to buy an equal number of blue ,green and white marbles, the smallest number of bags will be the lowest common multiple of the numbers. This will be:
6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60
10 = 10, 20, 30, 40, 50, 60
12 = 12, 24, 36, 48 and 60
The smallest common multiple is 60.
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why can't 3/4 be .34?
Answer:
because there 2 different numbers?
Step-by-step explanation:
What is the slope of the line?
1
2
-2
1/2
Is 1 + square root 3 irrational
Answer:
The asnwer is no it's not irrational
Step-by-step explanation:
It is more precisely called the principal square root of 3, to distinguish it from the negative number with the same property. The square root of 3 is an irrational number.
Valerie manages a team of 30 employees at a large company. She wants to survey members of her team on her
performance as their manager. She holds an individual meeting with each of her team's members and asks them
the same set of questions. Valerie finds that 83% of her employees rate her performance as "outstanding."
Which of these is the best explanation for why this result is probably biased?
Choose 1 answer:
(A
Employees may not want to give critical feedback in person to their manager, so this is likely an
overestimate of Valerie's performance.
Employees may not want to give critical feedback in person to their manager, so this is likely an
underestimate of Valerie's performance.
Only members of Valerie's team are being polled, so this is likely an overestimate of Valerie's
performance.
Only members of Valerie's team are being polled, so this is likely an underestimate of Valerie's
performance
Using the concept of bias, it is found that the correct option is:
(A) Employees may not want to give critical feedback in person to their manager, so this is likely an overestimate of Valerie's performance.
Samples have to be well chosen, otherwise, there can be a source of bias. For example, if you want to make a survey about who is better, Pele or Maradona, if you choose only Brazilians, or only Argentinians, the results will be biased, thus a sample with an equal number of Brazilians and Argentinians should be used.
In this problem, Valerie's is their manager, and the employees may be reluctant to give her critical feedback, which means that the proportion of 83% is an overestimate, and the correct option is:
(A) Employees may not want to give critical feedback in person to their manager, so this is likely an overestimate of Valerie's performance.
A similar problem is given at https://brainly.com/question/25122507
Graph the equation.
y-1=-2(x-5)
Step-by-step explanation:
y - 1 = -2(x - 5)
Distribute -2 into the parenthesis:
y - 1 = -2x + 10
Add 1 to both sides:
y - 1 + 1 = -2x + 10 + 1
y = -2x + 11 (This is the slope-intercept form where the slope, m = -2, and the y-intercept, b = 11).
Using the slope (m = -2) and the coordinates of the y-intercept, (0, 11):
Plot the y-intercept on the graph. Then, use the slope's "rise over run" technique (2 units down, and 1 unit to the right) to plot other points. Connect the points by drawing a line over them.
Attached is a screenshot of the graph that I created using the techniques provided in this post.
3/4 of what number equals 36 ?????????
Answer:
48
Step-by-step explanation:
This question can be written as 3/4 times a number equals 36.
To multiply by 3/4 we would times 36 and 3 and then divide by 4.
We will do the opposite to find our unknown number
36 ÷ 3 = 12
12 × 4 = 48
The number of the solution will be 48.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
3/4 of a number is equal 36.
Now,
Let a number = x
So, we can formulate;
⇒ 3/4 of x = 36
Solve for x as;
⇒ 3/4 × x = 36
Multiply by 4 as;
⇒ 3/4 × 4x = 36 × 4
⇒ 3x = 36 × 4
Divide by 3, we get;
⇒ x = 36 × 4/3
⇒ x = 12 × 4
⇒ x = 48
Thus, The number of the solution will be 48.
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angles homework i need help
Answer:
a=110°.... honestly it's a guess.
Step-by-step explanation:
360 to go around the box.
360-70°=290-70°=220
220÷2=110
what is the recursive formula for this geometric sequence 6 -24
Answer:
-18
I don't what the rest of that cr-- stuff is so yeah
Step-by-step explanation:
f (x) = 0 is this a function or not?
-x^{2}+6x-9=0 graphczczxzcvxvxc
Answer: (3, 0)
Step-by-step explanation:
which are not changed after a rotation? check all that apply.
Answer:
Size, angle measures, position of center of rotation, shape.
Answer:
Size, angle measures, position of center of rotation, shape.
Step-by-step explanation:
How do you write 7
11
/
18
as a whole number
Answer: 8
Step-by-step explanation
Write as a decimal
7 11/18 is equal to 7.6111
Round the decimal to the nearest whole number:
If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.
If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.
Since 6 is in the tenths place we round up. 7 11/18 can be written as 8 (as whole number)
Sorry, I need to reword it, This is for a 2 question ANSWER ticket. Please help been on this for 35 minutes.
Answer:
y=2x+3
I'm 100% sure in my answer ;)
Triangle CDE and triangle CGH are drawn below, which methods are used to map onto each other. Please help i have two hours to answer this!
Jika log 2 = a dan log 3 = b maka log 120 adalah
Step-by-step explanation:
given :
log 2 = a and log 3 = b
log 120 =?
solution :
log 120 = log 12×10
= log 2²×3×10
= log 2²+log3 +log 10
= 2.log 2 + log 3 + log 10
= 2a + b + 1
halppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
3rd one
Step-by-step explanation:
Larger animals have more cells than smaller animals
Answer:
They have more cells
Step-by-step explanation:
Makes sense
Amy bakes 12 cookies for a party at her friends house she puts 4 cookies in a bag.
Answer:
3?
Step-by-step explanation:
About 142 million people in the United States watch online videos. If 44.02 watch news stories, about what percent watch news stories?
Answer:
31% Watch news stories
Step-by-step explanation:
A triangle has a base of x½ m and a height of x¾ m. If the area of the triangle is 16 m2, what are the base and the height of the triangle?
Answer:
Base = 4.62m, Height = 6.93m
Step-by-step explanation:
I worked through the black first, then went to the blue.
Workout 1 2/5 divide 1/3
Answer:
4.2
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
1[tex]\frac{2}{5}[/tex] ÷ [tex]\frac{1}{3}[/tex]
Divide [tex]\frac{1 x 5+2}{5}[/tex] by [tex]\frac{1}{3}[/tex] by multiplying [tex]\frac{1 x 5+2}{5}[/tex] by the reciprocal of [tex]\frac{1}{3}[/tex]
[tex]\frac{( 1 x 5 + 2) x 3}{5}[/tex]
Add 5 and 2 to get 7.
[tex]\frac{7 x 3}{5}[/tex]
Multiply 7 and 3 to get 21.
[tex]\frac{21}{5}[/tex]
Factor
[tex]\frac{3.7}{5}[/tex] = 4[tex]\frac{1}{5}[/tex] = 4.2
evaluate 2(x+1) -3 when x =6
a.8
b.5
c.11
d.10
Answer:
C. 11
Step-by-step explanation:
Simplify each term
Add 6 and 1
2x7−3
Multiply
2 by 7
14−3
Subtract
3 from 14
And you get
11
PLEASE HELP WILL GIVE BRAINLIEST
If she competed 10 miles in 45 minutes. Calculate her speed per second.
Answer:
Step-by-step explanation:
0.0037037045455 of a mile or 19.55556 feet per second
Answer: 1/270 miles per second
Step-by-step explanation:
Speed is equal to distance over time (s=d/t).
We can plug in 10 miles as distance, and 45 minutes as the time; however, you multiply the time by 60 since a minute has 60 seconds. The equation then becomes:
s=10/45*60
s=10/2700
s=1/270
Her speed is 1/270 mps.