Answer:
17,576,000 different license plates are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
For each letter, there are 26 possible outcomes.
For each digit, 10 possible outcomes.
So
L - L - L - D - D - D
Number of possible outcomes:
26 - 26 - 26 - 10 - 10 - 10
Each character of the license plate is independent, so, by the fundamental counting principle:
26*26*26*10*10*10 = 17,576,000
17,576,000 different license plates are possible.
The shape of a carpet is a semicircle. Use 22 7 as an approximation for π. a) Find its area. b) Janice wants to put a fringed border on all sides of the carpet. How many feet of fringe are needed?
Answer:
Step-by-step explanation:
The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Here, we have,
given that,
The shape of a carpet is a semicircle.
from the given diagram, we get, the diameter = 14ft
now, we know that,
area of the semicircle = πr²/2
here, we have,
diameter = 14 ft
so, radius = 14/2 = 7 ft
so, area = π*7²
= 153.94
a.) so, area of the semicircle = 76.97 ft^2
again,
b) Janice wants to put a fringed border on all sides of the carpet,
so, the perimeter = π r + d
= 36ft
Hence, The solution is : a) area of the semicircle = 76.97 ft^2.
b) Janice wants to put a fringed border on all sides of the carpet : 36ft.
To learn more on Area click:
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Find the perimeter of the figure.
Answer:
A) 60
Step-by-step explanation:
P = 5+5+11+9+(5+11)+(9+5)
P = 60
Answer:
A. 60 m
Step explanation:
Perimeter for the small cube
5+5+5+5=20
Perimeter for the rectangle
9+9+11+11=40
Add 20 plus 40 to find the perimeter for the whole shape
20+40=60
Hope this helps
When too many variables are categorized in an analysis, several potential issues may occur. Which of the following is not one of the issues that may occur?
A. model performance suffers.
B. rarely occurring categories may not be captured accurately.
C.difficulty in differentiating among observations.
D. an increase in the number of categories as the data set becomes larger.
Answer: D. an increase in the number of categories as the data set becomes larger.
Step-by-step explanation:
When too many variables are categorized in an analysis, there are different potential issues may occur, some of these issues include:
• model performance suffers.
• rarely occurring categories may not be captured accurately.
• difficulty in differentiating among observations.
It should be noted that an increase in the number of categories as the data set becomes larger isn't one of the issues. Therefore, the correct option is D.
Find the critical points of the given function and then determine whether they are local maxima, local minima, or saddle points.
f (x, y) = x^2 + y^2 + 2xyf(x,y)=x 2 +y 2 +2xy
Answer:
[tex]y =-x[/tex] ---- critical point
local minima
Step-by-step explanation:
Given
[tex]f(x,y) = x^2 + y^2 + 2xy[/tex]
Required
Determine the critical point
Differentiate w.r.t x
[tex]f_x =2x + 2y[/tex]
Differentiate w.r.t y
[tex]f_y =2y + 2x[/tex]
Equate both to 0
[tex]2x + 2y =0[/tex]
[tex]2y =0-2x[/tex]
[tex]2y =-2x[/tex]
Divide by 2
[tex]y =-x[/tex] ----- in both equations
Hence:
The critical point is: [tex]y =-x[/tex]
Solving (b):
We have:
[tex]f_x =2x + 2y[/tex]
[tex]f_y =2y + 2x[/tex]
This is represented as:
[tex]D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right][/tex]
Calculate the determinant
[tex]|D| =2 * 2 -2 * 2[/tex]
[tex]|D| = 4-4[/tex]
[tex]|D| = 0[/tex]
The critical point is at local minima
State if the two triangles are congruent. If they are, prove by using a two column proof!!!
Answer:
you can prove that they are congruent if their angles are the same.
What is the exponent for x when the radical 18 is simplified completely?
Answer:
x⁶
Step-by-step explanation:
[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]
what does X = to? will mark brainliest if it is an ACTUAL ANSWER
Answer:
x = 53
Step-by-step explanation:
The sum of the angles of a triangle are 180
x + ( x+2) + 72 = 180
Combine like terms
2x+74 =180
2x+74-74 = 180-74
2x =106
Divide by 2
2x/2 = 106/2
x =53
Find the area of the goat pen.
500 m
65 m
O
32,500 m2
32,000 m2
32,500 m3
32,000 m
32,500 m
Answer:
option a is right hope it may help u
Step-by-step explanation:
cz area unit always comes in square
and volume comes in cube so don't be confused
[tex]32,500 {m}^{2} [/tex]
In a school 33% pupils study
biology and 16% study chemistry. if 9% study both science; what percent study
neither percent?
Step-by-step explanation:
DRAW VENN disgarm
say there are 100
33 - 9 = 24 study only Bio
16 - 9 = 7 study only chemistry
that is a total of 24 + 9 + 7= 40 that study at least one of them
so
100 - 40 = 60% play hockey instead
Need some help on this one pls (marking brainlist) :D
Answer:
x = 24 i think
Step-by-step explanation:
PLEASE HELP! 10 POINTS! WILL GIVE BRAINLIEST!
The numbers of licensed drivers in four samples taken from a population of students are shown in the table below. Which of the following choices is most likely closest to the percentage of students in the population who are licensed drivers? Sample Size Number of Licensed Drivers 25 4 50 14 75 15 100 24 O A. 20% B. 24% C. 16% D. 28%
Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:
B. 24%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
Higher sample sizes lead to more accurate estimates, hence the percentage is given by:
[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]
Which means that option B is correct.
More can be learned about percentages at https://brainly.com/question/10491646
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How would write 0.5, 0.65, 2.35, and 1.06 in expanded forms
Answer:
0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06
Step-by-step explanation:
expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.
Answer to the question?
Answer:
35
Step-by-step explanation:
AEC and AEB form a straight angle(180°)
180-40=140
AEV and AED are equal
140 divided by 4 = 35
Find the next two geometric terms 3/20, 1/5, 4/15,
Answer:
a_5 = 1,500
Step-by-step explanation:
1. Determine the given of the problem.
a_n – unknown sequence
a_1 – 3/20
r – ((3⁄2)/(3⁄20)) = 10
n – 5
2. Substitute the given to the formula of the geometric sequence.
a_n = a_1 r^(n-1)
a_5 = (3/20) (10)^(5-1)
3. Solve the given problem.
a_5 = (3/20) (10)^(5-1) - Subtract the exponent.
a_5 = (3/20) (10)^(4) - Multiply 1/10 to the exponent.
a_5 = (3/20)(10000) - Multiply it.
a_5 = (30000/20) - Divide it.
a_5 = 1,500 - Answer of the problem.
the answer is 1500
correct me if you want
Two consecutive even numbers are such that five times the smaller number , subtracted from eight times the bigger gives 58. Find the two Numbers? show working
Answer:
[tex]14\text{ and }16[/tex]
Step-by-step explanation:
Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].
Therefore, we have the following equation:
[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]
Thus, the larger number is [tex]x+2=\boxed{16}[/tex]
Can you figure this out? Math kills me!
Answer:
m equals 27
Step-by-step explanation:
m+7=34
-7 = -7
m = 27
Answer:
m+7 =34
m=34-7
m=27
First option is the answer
Please help, I’m so lost question in picture
Q6. Yesterday Aaron ran 5 km. This morning Aaron ran 4 km. How far did Aaron run altogether?
warnment elections
Iof the votes for treasurer and
07
Answer:
9 km
Step-by-step explanation:
you add the distance Aaron ran
Which of the following is a point-slope equation of a line that passes through
the points (10,5) and (4, -7)?
A. y-5= 2(x-10)
B. Y-5 = -2(x-10)
C. y-10 = 2(x-5)
D. y-10 = -2(x-5)
Answer:
A
Step-by-step explanation:
m = Y2 - Y1/ X2 - X1
m= -7 - 5/ 4 - 10
m = -12/ -6
m = 2
y - y1 = m ( x - x1)
y - 5 = 2 (x - 10)
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
how do you solve this math problem
using substitution n=5n n=2/3m-13
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Y = -16x^2 + 119x + 57
Answer:
y1=-6.92
y2=-0.5146
Step-by-step explanation:
3 liters split into 10 people equally?
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
What is the volume of three cubes, each with a side length of fraction 1 over 3 foot? V = s3, where s is the side length.
fraction 1 over 3 ft3
fraction 1 over 2 ft3
fraction 1 over 9 ft3
fraction 1 over 27 f
Answer: A
Step-by-step explanation its easy
Answer:
C. fraction 1 over 9 ft3
Step-by-step explanation:
Hope I helped!!
In January 2013, a country's first-class mail rates increased to 52 cents for the first ounce, and 23 cents for each additional ounce. If Sabrina spent
$1742 for a total of 48 stamps of these two denominations, how many stamps of each denomination did she buy?
She bought
of the 52 cent stamps and
of the 23 cent stamps.
Answer:
She bought
22 of the 52 cent stamps and
26 of the 23 cent stamps.
Step-by-step explanation:
Given :
Total stamp increase = 48
Let number of 52 cent stamp = x
Number of 23 cent stamp = 48 - x
The cost equation :
0.52*x + 0.23*(48-x) = 17.42
0.52x + 11.04 - 0.23x = 17.42
0.52x - 0.23x = 17.42 - 11.04
0.29x = 6.38
x = 6.38 / 0.29
x = 22
Hence,
She bought 22 ; 52-cent stamps
And (48 - 22) = 26, 23-cent stamps
Solve by factoring: WRITE IT AS A FRACTION
6x^2 - 13r = -2
Answer:
2/6
Step-by-step explanation:
A tosses one coin and B tosses two coins. The winner is the player who gets the most heads. In case of an equal number of heads A wins. (a) Compute the probability that B wins given that A gets 0 heads. (b) Compute the probability that B wins given that A gets 1 heads. (c) Compute the probability that B wins. (d) Change the game so that A tosses 2 coins and B tosses 3 coins. The winner is still the player who gets the most heads. In case of an equal number of heads A wins. Compute the probability that B wins in the new game.
Answer:
a) 3/4
b) 1/4
c) 1/2
d) 1/2
Step-by-step explanation:
A tosses one coin while B tosses two coins
a) P( B wins given A gets 0 heads )
In this scenerio for B to win, he needs to get at least 1 head i.e. P( B gets at least one heads)
= 1 - P(B get no head)
= 1 - (1/2)^2 = 3/4
b) P( B wins given A gets 1 head )
For B to win when A gets 1 head means that B will have to get 2 heads
i.e. P( B gets 2 heads ) = P( one head )^2 = ( 1/2 )^2 = 1/4
c) P( B wins )
P ( B wins ) = P(A get 0 head and B gets at least one head) + P(A get 1 head and B get 2 head)
= ( 1/2 * 3/4 ) + ( 1/2 * 1/4 ) = 1/2
d) P ( B wins the new game )
Given that: A tosses two(2) coin while B tosses three(3) coins
P( B ) = P(A gets 0 head and B gets one head) + P(A get 1 head and B get 2 or 3 heads ) + P(A get 2 head and B gets 3 heads )
=[ (1/4 *(1 -1/8) ] + (1/2 * 1/2) + ( 1/4 * 1/8 )= 1/2
PLEASE HELP ME !!!! WILL GIVE BRAINLIEST TO WHOEVER ANSWERS CORRECTLY
Answer:
Ok Its not that hard actually
Step-by-step explanation:
but still too much for me plz give brainliest to meee
Answer:
21
Step-by-step explanation:
4x-2=3x+19
4x-3x=19+2
x=21
Will give Brainliest! 10 points!
Provide reasons for the statements of this proof.
Answer:
See Below.
Step-by-step explanation:
Statements: Reasons:
[tex]\displaystyle 1)\, AD\perp BC\text{ and } D\text{ is the midpoint of } BC[/tex] Given
[tex]\displaystyle 2)\, BD\cong CD[/tex] Definition of Midpoint
[tex]\displaystyle 3)\, m\angle ADB=90^\circ \text{ and } m\angle ADC=90^\circ[/tex] Definition of Perp. Lines
[tex]\displaystyle 4)\, m\angle ADB=m\angle ADC[/tex] Substitution
[tex]\displaystyle 5) \angle ADB\cong \angle ADC[/tex] Definition of Congruence
[tex]\displaystyle 6)\, AD\cong AD[/tex] Reflexive Property
[tex]\displaystyle 7)\Delta BDA\cong\Delta CDA[/tex] SAS Congruence
what is the slope of the line that passes through (7,-3) and (-5,-1)
Answer:
i dont know
Step-by-step explanation:
You can check your answers with math-way if you want I haven't done this in a while but I'm sure I've answered questions involving slope many times, you can take a look at them.
Remember that y2 - y1 / x2 - x1 = m
m= slope