Answer:
Only vowels and odd numbers:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
Spells math:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
Step-by-step explanation:
We have four letters, so the probability that one letter is a vowel is 5/26 (we have 5 vowels in a total of 26 letters), then the second letter has a probability of 4/25 of being a vowel (1 vowel used), and so on (third letter being vowel = 3/24 and fourth letter being vowel = 2/23)
Then, for the digits, we do the same, one digits has 5/10 probability of being odd, then the second digit has 4/9, the third has 3/8 and the fourth has 2/7.
So the final probability would be:
[tex]P = \frac{5}{26} *\frac{4}{25}* \frac{3}{24}* \frac{2}{23} *\frac{5}{10}* \frac{4}{9} *\frac{3}{8} *\frac{2}{7}[/tex]
To find the probability that the password spells the word “MATH", each letter has to be a specific letter, so the first letter has 1/26 probability, the second has 1/25, and so on:
[tex]P = \frac{1}{26} *\frac{1}{25}* \frac{1}{24}* \frac{1}{23}[/tex]
The number of passwords with only vowels and odd numbers is 1/125580 and the probability that a password spells MATH is 1/358800
How to determine the probabilityThe password format is given as:
LDDDDLLL
Since no character can be repeated, then the total number of different password using the format is:
Total = 26 * 10 * 9 * 8 * 7 * 25 * 24 * 23
Total = 1808352000
Also using the format, the number of passwords with only vowels and odd numbers is:
Total = 5 * 5 * 4 * 3 * 2 * 4 * 3 * 2
Total = 14400
The probability is then calculated as:
[tex]p = \frac{14400}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{125580}[/tex]
The number of password that spells MATH is:
Total = 1 * 10 * 9 * 8 * 7 * 1 * 1 * 1
Total = 5040
So, the probability that a password spells MATH is:
[tex]p = \frac{5040}{1808352000}[/tex]
Simplify
[tex]p = \frac{1}{358800}[/tex]
Hence, the probability that a password spells MATH is 1/358800
Read more about probability at:
https://brainly.com/question/25870256
What is the percent of increase from 106 miles to 122 miles?
Answer:
15.094 %
Step-by-step explanation:
[(122 - 106) /106] 100
(16/106) 100
(0.15094)x100
15.094
Answer:
15%
Step-by-step explanation:
Two bus services A and B arrive at a station. Service A has a frequency of arrival of 15
mins while Service B operates with a frequency of 20 mins. The first buses arrive at 8am.
When will they arrive at the station together the next time.
Answer:
9:00am
Step-by-step explanation:
Bus A:
8:00, 8:15, 8:30, 8:45, 9:00, 9:15, 9:30, 9:45, 10:00, 10:15, 10:30, 10:45, 11:00
Bus B:
8:00, 8:20, 8:40, 9:00, 9:20, 9:40, 10:00, 10:20, 10:40, 11:00
Bus A and Bus B will both arrive at the bus stop at 9:00
6x+15=6x+15 Please solve this equation
Answer: Infinite solutions
Step-by-step explanation:
First subtract 6x from both sides of the equation to get 15=15. Because this is true, x has no impact on the equation, and can be any value.
Hope it helps <3
I am interested in the how, not just an answer. Who can show me the correct solution path?
Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²
The answer is A) 5 cm³
Volume is represented by cubic units.
Hope it helps <3
The function f(x) = (1/5) Superscript x is translated up 4 units. Which equation represents the translated function?
Answer:
g(x) = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here f(x) is shifted up 4 units, thus translated function is
g(x) = f(x) + 4 = [tex](\frac{1}{5}) ^{x}[/tex] + 4
Answer:
C. g(x) = (1/5) x + 4
Hope this helps!
Step-by-step explanation:
The value of a three digit number if the tens digit is c, the hundreds digit is three less than the tens and the ones digit is 0.
Answer:690 580 470 360 250 140
Step-by-step explanation:
These digits are all numbers that the hundreds digit is three less than the tens digit, the ones digit is also zero
When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction
Answer:
Option D.
Step-by-step explanation:
The given equation is
[tex]10b=5(\sqrt{c}+2)[/tex]
We need to find an equation which is equivalent to the given equation.
Using distributive property, we get
[tex]10b=5(\sqrt{c})+5(2)[/tex]
[tex]10b=5\sqrt{c}+10[/tex]
Subtract both sides by 10.
[tex]10b-10=5\sqrt{c}[/tex]
Divide both sides by 5.
[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]
Taking square on both sides.
[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]
[tex]\dfrac{(10b-10)^2}{25}=c[/tex]
[tex]c=\dfrac{(10b-10)^2}{25}[/tex]
This equation is equivalent to the given equation.
Therefore, the correct option is D.
Answer:
d on edgenuity
Step-by-step explanation:
Find the indicated measure.
Answer:
Arc EFC has a measure of 234 degrees.
Step-by-step explanation:
The measure of arc EFC = the measure of arc EF + the measure of arc BF + the measure of arc BC.
Arc BFE looks like a semicircle.
A semicircle has a measure of 180 degrees.
Arc BF + arc FE = 180 degrees
Arc BF has a measure of 126 degrees.
126 + arc FE = 180
arc FE = 54 degrees
Arc FE = Arc BC
Their central angles are equal by vertical angle theorem.
EFC = EF+BF+BC
EFC = 54 + 126 + 54
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty. And no, the answer is NOT 243
Answer:
25
Step-by-step explanation:
The answer is 25. Here is a solution using the formulas:
For 3_1_1
(5C3*2C1*1C1)/2! = 10
For 2_2_1
(5C2*3C2*1C1)/2! = 15
10+15=25
Not 100% sure just double check
Answer:
216
Step-by-step explanation:
There are 6 possibilities for each bowl. (0-5)
6x6x6=216
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c, d) find the value of c and the value of d
Answer:
c = -6
d = -1
Step-by-step explanation:
In the picture attached, the question is shown.
Shape A is composed of the points:
(3, 2)
(5, 2)
(3, 5)
Reflection across the x-axis transforms point (x, y) into (x, -y). Applying this transformation to shape A:
(3, 2) → (3, -2)
(5, 2) → (5, -2)
(3, 5) → (3, -5)
Translation (c, d) transforms (x, y) into (x+c, y+d). The point (3, -2) in the pre-image (before translation) corresponds to point (-3,-3) in the image (after translation). Therefore:
(3, -2) → (3+c, -2+d) → (-3,-3)
3+c = -3
c = -3 -3 = -6
-2+d = -3
d = -3+2 = -1
Help me plz help me meeee
Answer:
The last one -
Green 50%
Purple 25%
Black 25%
Step-by-step explanation:
The circle is divided into 4 equal parts.
Green is 2/4 or 1/2 (50%)
Purple is 1/4 (25%)
Black is 1/4 (25%)
Answer:
the last option
Whats the square route of 49?
Answer:
The square root of 49 is 7.
Step-by-step explanation:
To find the square root of 49, you would need to look at the possible multiplication equations. For example:
1 x 49 = 49
7 x 7 = 49
49 x 1 = 49
As you can see, 7 x 7 would have the square root of 49, which is 7.
7^2=49
.
In conclusion, the square root of 49 is 7
Answer:
The square route of 49 is 7.
Step-by-step explanation:
All you have to do is 7 x 7 = 49
There. You have your correct answer.
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers
Answer:
x = 0 , x = -2
Step-by-step explanation:
The function given to us is:
f(x) = 3/2x - 5
g(x) = x² + 2x
We have to find the input x, for which the output of the function g(x) becomes 0.
It means that there is no use for the function f(x) in this question, so discard it
Substitute g(x) = 0 into the given equation of g(x):
g(x) = x² + 2x
0 = x² + 2x
Take x common from both the terms:
x(x+2) = 0
Thus, the values of x can be written as:
x = 0 , x + 2 = 0
x = 0 , x = -2
PreCalculus Unit 3 Activity 90 POINTS
Answer:
19900kk
Step-by-step explanation:
i need deez points fr doe
Step-by-step explanation:
convert the angle from radian to degree you will get 225°
To draw it draw first 180° then ad 45° to make it easy
HELP! I WILL GIVE BRAINLIEST AND RATING!
Which of the following can be represented by the equation below? $846 = $87 + $23M A. Tom wants to save $87, he already has $23, and he deposits $846 each month, M. B. Tom wants to save $846, he already has $87, and he deposits $23 each month, M. C. Tom wants to save $87, he already has $846, and he deposits $23 each month, M. D. Tom wants to save $846, he already has $23, and he deposits $87 each month, M.
Answer:
The answer is C.
Answer:
B. Tom wants to save $846, he already has $87, and he deposits $23 each month, M.
Step-by-step explanation:
$846 = $87 + $23M
The $846 represents the amount that he wants to save. $23M represents how much money he wants to deposit every M months. $87 represents the amount that he has already deposited (the constant).
And so, the correct answer will be B. Tom wants to save $846, he already has $87, and he deposits $23 each month, M.
Hope this helps!
Find (F/g)(x)
F(x) = sqrt x^2-1
g(x) sqrt x-1
Answer:
Option A. √(x + 1)
Step-by-step explanation:
Data obtained from the question include:
f(x) = √(x² – 1)
g(x) = √(x – 1)
(f/g) (x) =..?
(x² – 1) => difference of two square
(x² – 1) => (x – 1)(x + 1)
f(x) = √(x² – 1)
f(x) = √(x – 1)(x + 1)
(f/g) (x) = f(x) /g(x)
f(x) = √(x – 1)(x + 1)
g(x) = √(x – 1)
(f/g) (x) = √(x – 1)(x + 1) / √(x – 1)
(f/g) (x) = √[(x – 1)(x + 1) / (x – 1)]
(f/g) (x) = √(x + 1)
If you miss the bus, then you will be late to school.
law of syllogism basically is a=b b=c then a=c
a = miss bus
c= detention
so if you miss the bus you get detention
D
Grace's mom gave her $15.00 to buy school supplies. Grace needs to buy 3 mechanical pencils and some notebooks. If each mechanical pencil costs $1.75 and each notebook costs $2.99, how many notebooks can Grace buy using only the money her mom gave her? 2 notebooks 3 notebooks 4 notebooks 5 notebooks
Answer: 3 notebooks
Step-by-step explanation:
First take the three mechanical pencils out of the equation by doing
15 - (3*1.75) = 9.75. Because each notebook costs 3 dollars, she can afford 3 notebooks, with 1 dollar left over.
Hope it helps <3
Answer:
3 notebooks
Step-by-step explanation:
(1,75x3)=5.25 15.00-5.25=9.75
2.99x=9.75
x=3,26
so she can buy 3 notebooks
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
What is one of the solutions to the following system? StartLayout Enlarged left-brace 1st Row y minus 3 = x 2nd row x squared minus 6 x + 13 = y EndLayout (–5, 2) (–2, 1) (2, 5) (8, 5)
Answer:
The solution of given equation is (2,5)
Step-by-step explanation:
The equations give to us are:
y - 3 = x
or
y = x + 3
y = x² - 6x + 13
We can find the solution of the given system of equations by substituting each point in both of the equations. The point which satisfies both of the equation will be the solution of the the system of given equation.
Substitute (2,5) in both equations
y = x+3
5 = 2+3
5 = 5
TRUE
y = x² - 6x + 13
5 = 2² -6(2) + 13
5 = 5
TRUE
Similarly, we can also check the rest of the points, which come as FALSE.
Therefore, the solution of given equation is (2,5)
Answer:
Answer is C
Step-by-step explanation:
Helen drives 195 miles in 3 hours.
a) What is her average speed in mph?
Matthew drives at an average speed of 62 mph for 5 hours.
b) How many miles does Matthew drive?
Answer:
a) What is her average speed in mph?
= 65 mph
b) How many miles does Matthew drive?
=310 miles
Step-by-step explanation:
The average speed in meters per hour (mph) of Helen is 65 miles per hour
Given:
Total distance = 195 miles
Time taken = 3 hours
Average speed = Total distance ÷ Time taken= 195 miles ÷ 3 hours
= 65 miles per hour
If Matthew drives at an average speed of 62 mph for 5 hours.
Total distance between traveled = Average speed × Time taken
= 62 mph × 5 hours
= 310 Miles
Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles
Read more:
https://brainly.com/question/8406966
which of the sequence is an arithmetic sequence?
Answer:
D
Step-by-step explanation:
An arithmetic sequence has to increase or decrease by the same amount each time
-3 ,-10,-17,-24,-31
Decreases by 7 each time so it is an arithmetic sequence
Answer:
i think its D not to sure
Step-by-step explanation:
Check all solutions to the equation. If there are no solutions, check "None."
x=-81
Answer:
none
Step-by-step explanation:
If a squared variable is equal to a negative number, all of the solutions are imaginary
There are no real solutions
Answer:
The correct answer is none.
Which of these phrases contain a variable? Check all that apply.
O A. The length of the hallway
O B. Twelve ounces of tea
O C. The weight of the wombat
O D. Seven cups of flour
Answer:
The length of the hall way
the weight of the wombat
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
Slope = 1
This is becuase the rise is 1 and the run is 1.
a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest
Answer:
8 yearsStep-by-step explanation:
Given,
Principal (P) = £ 30000
Simple Interest ( I ) = £ 28800
Rate (R) = 12%
Time (t) = ?
Now,
[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]
[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]
[tex] = \frac{2880000}{360000} [/tex]
[tex] = 8 \: years[/tex]
Hence, It would take 8 years.
Hope this helps...
Good luck on your assignment...
Solve each system of equations by using elimination.
6a + 6b = 12
6a - 5b = 12
Select one:
a. (1,0)
O b.(2,0)
O c.(3,-0.5)
O d. (2,0.25)
Answer:
B. (2, 0)
Step-by-step explanation:
Step 1: Elimination (Subtract the 2 equations/add the 2 equations, one being negative)
b = 0
Step 2: Plug in b to get a
6a - 5(0) = 12
6a - 0 = 12
6a = 12
a = 2
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The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
A. 3 schedules B. 5 schedules C. 6 schedules D. 9 schedules
Answer:
b
Step-by-step explanation: