Answer:
[tex]Probability = 0.006033[/tex]
Step-by-step explanation:
Given
[tex]Tries = 1000000[/tex]
Required
Determine the probability of 6 different lower case letters (Question continuation)
There are 26 lower case letters.
The first can be any of letters 26
The second can be any of letters 26 - 1
The third can be any of letters 26 - 2
The fourth can be any of letters 26 - 3
The fifth can be any of letters 26 - 4
The sixth can be any of letters 26 - 5
Number of selection is:
[tex]Selection = 26 * (26 - 1) * (26 - 2) * (26 - 3) * (26 - 4) * (26 - 5)[/tex]
[tex]Selection = 26 * 25 * 24 * 23 * 22 * 21[/tex]
[tex]Selection = 165765600[/tex]
The probability is:
[tex]Probability = \frac{Tries}{Selection}[/tex]
[tex]Probability = \frac{1000000}{165765600}[/tex]
[tex]Probability = 0.00603261472[/tex]
[tex]Probability = 0.006033[/tex] --- approximated
|-3/4+1/8|- (2/3+1/6)
Answer:
-5/24
Step-by-step explanation:
-3/4 = -6/8
-6/8 + 1/8 = -5/8
|-5/8| = 5/8
2/3 = 4/6
4/6 + 1/6 = 5/6
5/8 - 5/6 = 15/24 - 20/24
15/24 + (-20/24) = -5/24
Polygon LMNPQ is shown on the coordinate grid. What is the preempted of polygon LMNPQ
The question is incomplete. Here is the complete question.
Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?
A. [tex]2+12\sqrt{2}[/tex] units
B. [tex]7+2\sqrt{2}[/tex] units
C. [tex]10+4\sqrt{2}[/tex] units
D. [tex]12+2\sqrt{2}[/tex] units
E. [tex]12+4\sqrt{2}[/tex] units
Answer: E. [tex]12+4\sqrt{2}[/tex] units
Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.
The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.
Distance of two points is calculated as
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
Segment MN:
Coordinates: M (2,4) and N (5,8)
[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment ML:
Coordinates: M (2,4) and L (4,2)
[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment NP:
Coordinates: N (5,8) and P (8,4)
[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]
d = 5
Segment PQ:
Coordinates: P (8,4) and Q (6,2)
[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]
[tex]d=2\sqrt{2}[/tex]
Segment LQ:
Coordinates: L (4,2) and Q (6,2)
[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]
d = 2
Calculating perimeter (P):
P = MN + ML + NP + PQ + LQ
P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]
P = [tex]12+4\sqrt{2}[/tex]
Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units
Given that V, W, and X are the midp oints of ASTU, what is the relationship between TX and XU?
A 2TX = XU
B. TX = 1/2XU
C. TX || XU
D. TX=XU
Please select the best answer from the choices provided
Answer:
the answer is D
Step-by-step explanation:
got it right on edg
121/2% in to a fraction
9514 1404 393
Answer:
1/8
Step-by-step explanation:
You can replace % with /100 to make it a fraction.
12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8
__
Or, you can reduce the decimal fraction.
12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8
Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?
Answer:
$416.00
Step-by-step explanation:
Leslie's 10% and her employer's 3% total 13% of her salary:
0.13 · $3200 = $416
The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
What is a matching contribution?A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.
Data and Calculations:Monthly salary = $3,200
Leslie's maximum contribution = 10% of salary
Employer's matching contribution = 3% of salary
Total contributions to the 401(k) plan = 13% of salary
= $416 ($3,200 x 13%)
Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.
Learn more about matching contributions at https://brainly.com/question/16338999
#SPJ2
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?
Answer:
$1101
Step-by-step explanation:
Given data
A= $1,172.60
R= 3.2 = 0.032
t= 2
The expression for compound interest is
A= P(1+r)^t
Substitute
1172.60=P(1+0.032)^2
1172.60=P(1.032)^2
1172.60=P1.065
Divide both sides by 1.065
1172.60/1.065= P
P=$1101
Hence the original amount is $1101
5
Explain
why 36% is
less than 3/8
isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect
Answer:
103 dimes and 108 quarters
Step-by-step explanation:
Given
[tex]Value = \$37.30[/tex]
[tex]Amount = 211[/tex]
Required
Determine the number of each coin collected
Represent dimes with D and quarters with Q.
[tex]1\ D= \$0.10[/tex]
[tex]1\ Q= \$0.25[/tex]
So:
[tex]0.10D + 0.25Q = 37.30[/tex] --- Value
[tex]D + Q = 211[/tex] --- Amount
Make D the subject in [tex]D + Q = 211[/tex]
[tex]D = 211 - Q[/tex]
Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]
[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]
Open brackets
[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]
Collect Like Terms
[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]
[tex]0.15Q = 16.2[/tex]
Make Q the subject
[tex]Q = 16.2/0.15[/tex]
[tex]Q = 108[/tex]
Substitute 108 for Q in [tex]D = 211 - Q[/tex]
[tex]D = 211 - 108[/tex]
[tex]D = 103[/tex]
Please answe number 1 PLEASE
Answer:
i believe the answers D
Step-by-step explanation:
Answer:
i think its B
Step-by-step explanation:
(4x-20)° what is the value of x
Answer: 4(x−5)
Step-by-step explanation:
I think this is right. If it’s not Im sorry. But if it is hope this helps!
Solve: 13x+4.............X=2
16, -6.4, 2.56, ..., 6th term
The 6th term of the sequence is
Answer:
the 6th term is = -0.16384
Step-by-step explanation:
Notice this is a geometric sequence with first term 16, and common ratio (-0.4)
Therefore the first 6 terms of the sequence are:
a1 = 16
a2 = 16 * (-0.4) = -6.4
a3 = -6.4 * (-0.4) = 2.56
a4 = 2.56 * (-0.4) = -1.024
a5 = -1.024 * (-0,4) = 0.4096
a6 = 0.4096 * (-0.4) = -0.16384
The the 6th term is = -0.16384
21 miles equal how many feet
Answer:
110, 880 feet
Step-by-step explanation:
5,280 feet in one mile x 21 miles
Answer:
110, 880 feet
Step-by-step explanation:
Help! Please Help lol
2. The ratio of pretzels to peanuts in a trail mix is 4:9.
At the same rate if there are 80 pretzels how many
peanuts are there?
Answer:
170 peanuts I believe
Step-by-step explanation:
just did mental math, not sure if it's the right way
(03.02)
Which of the following is a factor of 48x2 − 26x + 3? (1 point)
Select one:
a. 8x − 3
b. 12x − 1
c. 4x − 3
d. None of the above
Answer:
A
Step-by-step explanation:
48x^2-8x-18x=3
8x(6x-1)-3(6x-1)
(8x-3)(6x-1)
8x-3
Answer:
Step-by-step explanation:
48x2 - 26x + 3
48x2 - 18x - 8x + 3
6x( 8x - 3) - 1(8x - 3)
(8x - 3) and (6x - 1) are the factors
Option A is the correct answer
Find the 5th term in the sequence described by 3n - 2. (1 point)
O 13
O 17
07
0-13
Answer:
It's 13
Step-by-step explanation:
the fifth term is n. do 3*5=15 and then subtract 2 to get 13!
What is the absolute value I15I
Answer:
its 15
Step-by-step explanation:
11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
What is the result when 6x3 + 11x2 + 9x + 2 is divided by 3x + 1?
Answer:
(6x^(3)+11x^(2)-19x+5)-:-(3x-2)
Step-by-step explanation:[tex]63+112+32+1[/tex]
for some reason it showed that but yeah hope this helps!
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?
Answer:
50 miles
Step-by-step explanation:
Please Brainiest It will help me get to my quest!!??!?!
Answer:
200 miles
Step-by-step explanation:
30%=60
60x3=180
180=90
60/3= 20
20=10%
180+20=200
What is the right answer for the ordered pairs?
Answer:
D. (2, -3) and E. (4,-1)
Step-by-step explanation:
In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).
Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)
ANSWWER QUICK IM TIMED
What is the y-coordinate of point W?
On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5
Answer:
-1.5
Step-by-step explanation:
the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5
2^3 - (12 divide 6) + 8
dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.
Original: 150
New: 130
Answer:
Step-by-step explanation:
The difference is 130-150 = -20, a decrease.
-20/150 ≅ -0.133, a decrease of 13.3%
Witch describes the slope of this line?
undefined
zero slope
negative slope
positive slope
Answer:
Undefined
Step-by-step explanation:
are these correct? i hate how the teacher had me do this.but picture above.
Answer:
Yes they are correct
Step-by-step explanation:
Please help!!!!!
(50 points)
Answer:Hope this helps
Step-by-step explanation:
