The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.
There are 10 vowels (5 of lowercase and 5 of upper case).
Thus, 10 ways of choosing the first letter.
Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).
Similarly, third and fourth letter can be any of the 52 letters.
Thus, using the product rule, the number of ways of making the four letter password is:
[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]
(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).
We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.
Thus, the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080
Learn more about rule of product combinations here:
https://brainly.com/question/2763785
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
rewriting subtraction into addition
-3-6=
Answer: 6+3 = 9
Step-by-step explanation:
-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.
Find the area of the triangle.
8 in.
12 in.
in
?
The area of the triangle is
Answer:
48 in²
Step-by-step explanation:
Hello!
Area of a Triangle: [tex]A = \frac12 b*h[/tex]
Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.
Find the area[tex]A = \frac12 b*h[/tex][tex]A = \frac12 (8*12)[/tex][tex]A = \frac12 (96)[/tex][tex]A = 48[/tex]The area of the triangle is 48 in².
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]
[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\huge\textbf{Making it easier to solve:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{96}{2}}[/tex]
[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]
[tex]\mathsf{= \dfrac{48}{1}}[/tex]
[tex]\mathsf{= 48\div1}[/tex]
[tex]\mathsf{= 48}[/tex]
[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]
[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
4(x+2)-6=x+41 denkleminde x kaçtır?
A)13 B)14 C)-14 D)-13
ACİL LÜ TFEN!!
Answer:
[tex]A)13[/tex]
Step-by-step explanation:
[tex]4(x+2)-6=x+41[/tex]
[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]
[tex]→4x + 8 - 6 = x + 41[/tex]
[tex]→4x + 2 = x + 41[/tex]
[tex]→4x + 2 - x = x + 41 - x[/tex]
[tex]→4x - x + 2 = x - 41 - x[/tex]
[tex]→3x + 2 = x + 41 - x[/tex]
[tex]→3x + 2 = 41[/tex]
[tex]→3x + 2 - 2 = 41 - 2[/tex]
[tex]→3x - 39[/tex]
[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]
[tex]→x = \frac{39}{3} [/tex]
[tex]→x = 13[/tex]
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
solve for x
5x - 2 = 6
give your answer as an improper fraction in its simplest form
Answer:
x= 8/5
Step-by-step explanation:
add 2 to both sides
5x=8
divide both sides from 5
x=8/5
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
x-3y=-14
x-y=-2
substution method
Answer:
(4, 6 )
Step-by-step explanation:
x - 3y = - 14 ( add 3y to both sides )
x = - 14 + 3y → (1)
x - y = - 2 → (2)
Substitute x = - 14 + 3y into (2)
- 14 + 3y - y = - 2
- 14 + 2y = - 2 ( add 14 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
Substitute y = 6 into (1)
x = - 14 + 3(6) = - 14 + 18 = 4
solution is (4, 6 )
pls, help! (NO LINKS!)
Thank you!
Answer:
18÷25 =0.72 convert proper fraction to decimal ,divide the numerator by the denominator.
3-0.72=3.72. add this decimal number to the whole number .final answer is 3.72
Help Please please please
what is 1 + 1
(first gets brainliest)
Answer:
2
Step-by-step explanation:
bet
simplify the ratio 4 : 0.5
Answer:
8:1
Step-by-step explanation:
If a number is multiplied by 2/5, the product is (great than, less than, or equal to,) the number
Answer:
less than
Step-by-step explanation:
it's a fraction, so it will be a fraction of the original number.
When the marked price and selling price after discount are given write the formula to find the rate of discount.
Step-by-step explanation:
marked price = 100%
1% = 100%/100 = marked price / 100
discount = marked price - selling price
discount % = discount / 1% =
= (marked price - selling price) / (marked price)/100 =
= 100×(marked price - selling price) / (marked price)
What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (-6 - 6)/(-4 - 2)
Slope = -12/-6
Slope = 2
Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.
y = mx + b
6 = 2(2) + b
6 = 4 + b
b = 2
The equation is y = 2x + 2
What is the equation of the line that passes through the point (4,7) and has a slope
of -1/4
Answer:
See answer below.
Step-by-step explanation:
y - 7 = -1/4(x - 4)
y - 7 = -1/4(x - 4) in point slope form
In slope intercept form: y - 7 = -1/4x + 1
y = -1/4 x + 8
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
What is slope ? Help me please
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Pleaseeee help please
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.
How Many Solutions Does 6 + [tex]\frac{x}{5}[/tex] = [tex]\frac{x}{5}[/tex] - 5 - [tex]\frac{3x}{10}[/tex] Have?
A. One solution
B. Two solutions
C. No solutions
D. Infinitely many solutions
Answer:
A. One solution
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10
Cancel equal terms on both sides.
6=-5-3x/10
Multiply both sides of the equation by 10.
60=-50-3x
Move the variable to the left-hand side and change the sign.
60+3x=-50
Move the constant to the right-hand side and change the sign.
3x=-50-60
Calculate the difference.
3x=-110
Divide both sides by 3.
x=-110/3
=-36 2/3
Meaning one solution.
Hope this helps :)
Answer:
The answer you are looking for is A
A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.
Answer:
A^2 + B^2 = C^2 for a right triangle
C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in
i’m not sure how to do this question could some help me as soon as possible
Answer: 729
Step-by-step explanation:
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
what is rt5 x rt3
yeah do that plz
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest
6x=42
A: 7
B: 6
C: -7
D: 2
Help
to solve the equation, x+5=12, what property do you use?
Answer: inverse operation, subtraction
Step-by-step explanation: The key insight here is that we want to solve for x , and in doing so, we need to undo any operation being applied to it. Right now, only 5 is being added to it, so to solve for it, we need to do the inverse operation, subtraction
If you mean this: How to solve multiplication property of equality?
Multiplication Property of Equality
For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).
I hope this is right :)
Help again pls I think it’s D and A or am I wrong some one pls tell me thank you
Is that the right answer
Answer:
25.12 square feet
Step-by-step explanation:
Area of a circle
a = 3.14 * r^2
a = 3.14 * 4^2
a = 3.14 * 16
a = 50.24
Since this is a semi-circle the area is half the circle
a = 50.24/2
a = 25.12 square feet
Solve pls brainliest
Answer:
Hi, the answer should be 8.1 dollars