You decide to take up a life of crime and plan to break into a bank. You and your buddies have to decide which bank to choose from based on their locked door. One bank has a lock that requires four letters (repetition is not allowed) and the other bank has a lock that requires 6 digits (repetition is allowed). You want to break into the bank with the door that gives you the higher probability of breaking the code. Of those two options, which one has the greater probability of you guessing the code?
Answer:
The first bank with the four letter code has the grater probability of me guessing the code.
Step-by-step explanation:
To break the code for the first bank which uses four letters, since there are 26 letters in the alphabet, and require a four letter code, the first letter can be any of the 26 letters. Since one letter has been taken, we are left with 25 letters for the second position, 24 for the third position and 24 for the fourth position.
So, the total number of ways of selecting the 4 letter code without repetition is ²⁶P₄ = 26 × 25 × 24 × 23 = 358800
Since we have only 1 correct code, this is our required outcome. So, the probability of breaking the code is P = required outcome/total outcome = 1/358800 = 2.787 × 10⁻⁶
To break the code for the second bank which uses 6 digits with repetition, since there are 10 digits, and we require a 6 digit code, each digit can be filled with 10 digits each. Since there is repetition, the total number of ways we can select the 6 digits is (¹⁰P₁)⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.
Since there is going to be only 1 correct code, the number of ways of selecting the correct code is 1.
The probability P' of cracking the second bank code is P' = required outcome/total outcome = 1/10⁶ = 1 × 10⁻⁶
Since P = 2.787 × 10⁻⁶ > P' = 1 × 10⁻⁶, the first bank with the four letter code has the grater probability of me guessing the code.
write the sentence as an equation.241is the same as 364 fewer than f
Answer:
241 = f - 364
Step-by-step explanation:
PLEASE HELP ME W MY MATH FINAL! NO EXPLANATION NEEDED :)
Answer:
nothing in the first blank -3 in the second blank and +2 in the last blank or just 2.
Step-by-step explanation:
i’ll mark BRAINLEST IF U HELP (if u don’t know pls don’t try)
Which set of ordered pairs does not represent a function?
A. {(-2,4),(-1,1),(0,0),(1,1),(2,4)}
B. {(4, -2),(1, -1),(0,0),(1,1),(4,2)}
C. {(-4,2), (2, -4), (0,0),(4,-2), (-2,4)}
D. {(-4,-4),(-2,-2),(0,0), (2, 2), (4,4)}
Answer:
It is A
Step-by-step explanation:
1) what is the LCM of 3,5, and 10?
2)What are the numbers if the GCF of these numbers is 12?
Answer:
1)2⋅3⋅5=30 2 ⋅ 3 ⋅ 5 = 30 . 2)1, 2, 3, 4, 6, 12
Step-by-step explanation:
Does this represent a function?
Answer:
Yes
Step-by-step explanation:
Use the Vertical Line Test
Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.
So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.
please help! i have no clue what i am looking at.
What is the measure of
Answer:
measure of whaaaaaaaaaaaaaaaaaaaa tttttt?
2) Which car will travel the most distance (in miles) per gallon? A. The total distance that a Toyota Prius can travel in miles (M) given any gallons of gas (g) is given by M = 35g. B. A Toyota Sienna used 2.5 gallons to travel 55 miles. C. Toyota Rav4 D. Toyota Camry Gallons of Gas Total Distance 2 50 miles 3 75 miles 5 125 miles
Answer:55
Step-by-step explanation:
(1). Toyota Prius: The total distance the car can travel in miles (M) given any gallons of gas (g) is M = 35g *How much gas is used per mile?
(2)Toyota Sienna: Used 2.5 gallons to travel 55 miles *How much gas is used per mile?
2c - 12 = 9C + 2
How do i solve this
please find the answer, i need this asap!
Answer:
the correct answer is 2
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
There are 207 students in the 9 classes
at east middle. At this rate, how many students are in 6 classes ? use the radio table below to help you determine you answer
to find the rate first we divide the number of students by the number if classes as follows 207 ÷ 9 = 23 student in each class Then we multiply this rate by the number of classes to get 23 students × 6 classes = 138 students in 6 classes
need some help with this question.
Answer:
Second from top
f(x) = 25(5)ˣ
Step-by-step explanation:
Spot check:
x = 2, f(x) = 625
f(x) = 25(5)ˣ
f(x) = 25(5)² = 25(25) = 625
x = -1, f(x) = 5
f(x) = 25(5)ˣ
f(x) = 25(5)⁻¹ = 25(0.2) = 5
-4x+3=-2 y=x-1 solve for x and y
Answer:
x=1 1/4 (1.25), y=1/4
Step-by-step explanation:
Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".
1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.
y=x-1 (add 1 to both sides)
y+1=x x=y+1
2. Plug our newly rearranged equation into -4x+3=-2.
-4(y+1)+3=-2
-4y-4+3=-2 (distributive property)
3. Add/subtract like terms.
-4y-1=-2
4. Get y to be by itself.
-4y=-1 (add 1 to both sides)
y=1/4
1. Now for y=x-1. Plug 1/4 into y.
1/4=x-1
1 1/4=x
PLEASE HELP, DUE SOON!!
Answer:
118
Step-by-step explanation:
because it says: if m < 11 = *118*
pls help ill give brainliest
The points A, B, and C lie on a line so that AB = 12 cm and BC = 13.5 cm. Find the length of segment AC. Give all possible answers.
Give two possible answers. Not just one please.
Answer:
25.5 and 1.5
Step-by-step explanation:
AC = 12 cm
BC = 13.5 cm
12 + 13.5 = 25.5 cm
13.5 - 12 = 1.5 cm
The possible length of segment AC is 25.5 cm and 1.5 cm.
What is a line segment?A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length. Figures such as a triangle, polygon, hexagon, square are made of different numbers of line segments.
For the given situation,
The points A, B, and C lie on a line.
Length AB = 12 cm
BC = 13.5 cm
The possible length of segment AC can be found by adding and subtracting the lengths of AB and BC.
a) Length of AC = [tex]13.5+12[/tex]
⇒ [tex]25.5[/tex] cm
b) Length of AC = [tex]13.5-12[/tex]
⇒ [tex]1.5[/tex] cm
Hence we can conclude that the possible length of segment AC is 25.5 cm and 1.5 cm.
Learn more about line segment here
https://brainly.com/question/25727583
#SPJ2
Audrey was given a gift card for a coffee shop. Each morning, Audrey uses the card to buy one cup of coffee. Each cup of coffee costs $2.50 and after buying 2 cups of coffee, the card had a $45 remaining balance. Write an equation for A,A, in terms of x,and x representing the amount money remaining on the card after buying x cups of coffee.
Answer:
The expression is y-2.50x=45The gift card is worth $50Step-by-step explanation:
step one:
let y be the amount of the gift card
and let x be the number of cups of coffee bought
given that Audrey bought 2 cups x=2
y-2.50x=45
step two:
substitute x= 2 in the expression we have
y-2.5(2)=45
y-5=45
solving for y
y=45+5
y=$50
the expression is y-2.50x=45
the gift card is worth $50
I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
If f(x) = 2x⁴- 3x² - 2x+5 and g(x)= x³ - 2x - 3, find the sum of polynomials f(x) and g(x) and hence state the order of the sum.
Answer:
2x⁴ + x³ - 3x² - 4x + 2
4
Step-by-step explanation:
Given functions:
f(x) = 2x⁴ - 3x² - 2x + 5
g(x) = x³ - 2x - 3
Unknown:
Sum of the polynomials = ?
Order of the sum = ?
Solution:
The sum of the polynomial is expressed as;
f(x) + g(x) = 2x⁴ - 3x² - 2x + 5 + x³ - 2x - 3
= 2x⁴ + x³ - 3x² - 2x - 2x + 5 -3
= 2x⁴ + x³ - 3x² - 4x + 2
The order of the sum is the highest power which 4.
This polynomial is of the 4th order.
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
At Greenwood Landscaping, rock costs $47.50 per ton. How much would 2.5 tons cost?
$94.25
$118.75
$107.75
$332.50
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
STEP 1: So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
(47.50 x 2 = 95)
STEP 2: So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
(47.50 ÷ 2 = 23.75)
STEP 3: So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
(95 + 23.75 = $118.75)
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
I HOPE THIS HELPED YOU!
Answer:
$118.75
Step-by-step explanation:
Okay, we know a rock per ton is $47.50.
What we need to know is how much 2.5 tons cost.
So if we take our 2.5 tons and we multiply it with our $47.50, this is what it will look like:
($47.50 * 2.5) = $118.75
So 2.5 tons of rock costs $118.75
Have a great day! :)
What is the equation of the line that passes through the point (5, - 2) and has a slope of - 2/5
Answer:
Y=-2/5x
Step-by-step explanation:
Y-int: (0,0)
x-int:(-2,5)
what is an equation of the line that passes through the points (0,-8) and (5,-7)? put your answer in fully reduced form.
Answer: y=1/5x -8
Step-by-step explanation:
1. Miles and Simon do chores to earn an allowance from their parents. Miles has $120 saved and gets a $10 allowance per week. His brother Simon has $75 saved but he does more chores so he gets $15 a week. What is the solution and how did you find it?
How long will it take for them both to have the same amount saved?
How much will they both have when they have the same amount?
Answer:
120 +10w = 75 + 15w, w=weeks, found by adding savings to rate times and unknown variable of weeks and setting equal to each other. 9 wks, $210
Step-by-step explanation:
120 +10w = 75 + 15w
120-75= - 10w+15w
45=5w
45/5=9
9 weeks
120 + 90 = 75 + 135
210= 210
help...
I will give brainiest and 5 stars to correct answer.
Answer:
y < -11/20
Step-by-step explanation:
4y+8 < -16y -3
Add 16y to each side
4y+16y+8 < -16y+16y -3
20y +8< -3
Subtract 8 from each side
20y+8-8 < -3-8
20y < -11
Divide each side by 20
20y/20 < -11/20
y < -11/20
Answer:
B
Step-by-step explanation:\
The answer must be a negative to transform the answer in parenthesis to a positive (negative times negative = positive) and for B anything less than -11/20 works such as -1, or -4
Solve: 5(h − 3) = 25
Answer:
h=8
Step-by-step explanation:
open the brackets
then, 5h - 15= 25
h=(25+15)/5
h=8
Answer:
h = 8
Step-by-step explanation:
Hi there !
5(h - 3) = 25
5h - 15 = 25
5h = 25 + 15
5h = 40
h = 40 : 5
h = 8
Good luck !
Solve the inequality:
2x−9≥17
Select one:
x≤13
x≥3
x≤3
x≥13
Answer:
x≥13
Step-by-step explanation:
add 9 to both sides
2x≥26
divide both sides by 2
x≥13
m.c.m (3, 16, 2) ?? please help
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
M.C.M=
[tex] \bf \textcolor{red}{ \huge{48}}[/tex]
3-16-2|2
3-8-1 |2
3-4-1 |2
3-2-1 |2
3-1-1 |3
1-1-1
2⁴•3
M.C.M=
2•2=4
2•2=4
4•4=16
16•3=48
[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]
xLasersx✨