Answer:
5/8 * n = 55
Step-by-step explanation:
OMG PLS HELP
2. Your pet rat Randy is the next contestant on a new game show What a Rat! Where
rats compete in mazes to find food as
fast as possible. Randy is equally
likely to take any path when coming
to an intersection, but you get to
decide which area to place the food.
Given the maze above, in which area
should you place the food to help
Randy win the competition? Show all
of your calculations! Be clear,
complete and justify your answer.
Answer:
Box C
Step-by-step explanation:
Given
See attachment 1 for the maze
Required
The area to place the food in order to help the rat win
To answer this question, we make use of the concept of probability (see attachment 2)
From the starting point to the first joint:
Each of the three ways have the same probability of 1/3
1. If the car passes the way at the top, there are two additional joints.
1.1 Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)
1.2 The bottom joint also splits to two (each of these ways have a probability of 1/12; i.e. divide 1.6 by 2)
2. If the car passes the way at the middle, there are two additional joints.
Each of the two joints (top and bottom) have the same probability of 1/6 (i.e. divide 1/3 by 2)
3. If the car passes the way at the bottom, there are three additional joints.
Each of the three joints have the same probability of 1/9 (i.e. divide 1/3 by 9)
Next, is to sum up the probability of each box.
For Box A
[tex]P(A) = \frac{1}{6} + \frac{1}{12} + \frac{1}{9}[/tex]
Take LCM
[tex]P(A) = \frac{6+3+4}{36}[/tex]
[tex]P(A) = \frac{13}{36}[/tex]
[tex]P(A) = 0.361[/tex]
For Box B
[tex]P(B)= \frac{1}{12} + \frac{1}{6}[/tex]
Take LCM
[tex]P(B)= \frac{1+2}{12}[/tex]
[tex]P(B)= \frac{3}{12}[/tex]
[tex]P(B)= 0.250[/tex]
For Box C
[tex]P(C) = \frac{1}{6} + \frac{1}{9} + \frac{1}{9}[/tex]
Take LCM
[tex]P(C) = \frac{3+2+2}{18}[/tex]
[tex]P(C) = \frac{7}{18}[/tex]
[tex]P(C) = 0.389[/tex]
From the calculations above, box C has the highest probability of 0.389 compared to 0.250 (of box B) and 0.361 (of box A)
Hence, the food should be placed in Box C
5x + 7 = 2x - 8 can anyone say how to solve please
Answer:
x = - 5
Step-by-step explanation:
Given
5x + 7 = 2x - 8 ( subtract 2x from both sides )
3x + 7 = - 8 ( subtract 7 from both sides )
3x = - 15 ( divide both sides by 3 )
x = - 5
[Help asap, will mark brainliest when it allows me] What is the value of x?
Answer:
x = 45 degrees
Step-by-step explanation:
The angles in a triangle adds up to 180 degrees
105 + 30 + x = 180
==>
x = 180-135=45
Correct answer please!!!!
Will mark you brainliest for the correct answer
This a test please help!!!☹
Answer:
First choice
Step-by-step explanation:
Angles A and D are vertical angles
Angles A and Z are alternate exterior angles
Solve for the missing angle(Geometry)
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}} : [/tex]
Hypotenuse ( h ) = 8base ( b ) = 5✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}}} : [/tex]
Value of x °✧ [tex] \underline{ \underline{ \large{ \tt{L \: E \: T\:' S \: \: S \: O \: L \: V \: E}}}} : [/tex]
[tex] \large{ \tt{ \cos( \theta) = \frac{b}{h}}} [/tex]
⇢ [tex] \large{ \tt{cos \: x = \frac{5}{8}}} [/tex]
⇢ [tex] \large{ \tt{x \ = {cos}^{ - 1} ( \frac{5}{8} )}}[/tex]
⇢ [tex] \large{ \tt{x \: = \boxed{ \tt{0.99 \degree}}}}[/tex]
☥ [tex] \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer : \underline{ \tt{0.99 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ツ
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
51.32°=x°
Step-by-step explanation:
relationship between base and hypotenuse is given by cos angle
cos x=b/h
x=cos-¹(5/8)=51.318
Question 1 of 5
A boat leaves the dock and travels 10 miles due south, then 24 miles due
west. How far is the boat from the dock?
Dock
с
10 ml
Boat
24 mi
O A. 14 mi
O B. 34 mi
OC. 676 mi
O D. 26 mi
PREVIOUS
Answer:
hypotenuse =
[tex] \sqrt{a {}^{2} } + b {}^{2} [/tex]
=
[tex] \sqrt{} 24 {}^{2} + 10 {}^{2} [/tex]
= 26mi
At the restaurant i 23 Σ π, they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options. How many unique 4-course meals
Answer:
129168
Step-by-step explanation:
they have 13 appetizer, 23 soup, 24 entree, and 18 dessert options.
Number of 4 course meal ( all unique) that can be made
=13C1×23C1×24C1×18C1
= 13×23×24×18 = 129168
Hence, [tex]129168[/tex] unique [tex]4-[/tex]course meals can be created.
Combination:
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations.
Given that,
[tex]13[/tex] appetizer [tex]23[/tex] soup [tex]24[/tex] entree [tex]18[/tex] dessert
[tex]4-[/tex]course meal can be prepared as follows:
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}[/tex] (use combination for each given)
Note: [tex]n_C_{r} =[\frac{n!}{r!(n-r)!} ][/tex]
[tex]13_C_{1}\times23_C_{1} \times24_C_{1} \times18_C_{1}\\=13\times23\times24\times18\\=129168[/tex]
Learn more about the topic of Combination: https://brainly.com/question/11732255
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 14 square foot. How many squares is the wall divided into? Enter your answer in the box.
Complete question :
Omar is painting a 24-square-foot wall. The wall is divided into squares that each measure 1/4 square foot. How many squares is the wall divided into?
Answer:
96
Step-by-step explanation:
Given that:
Total area of wall = 24 ft²
Area of each division =. 1/4 ft²
Number of division = x
The number of divisions * area of each division = total area of wall
x * 1/4ft² = 24ft²
Divide both sides by 1/4 ft²
x = 24ft² ÷ 1/4 ft²
x = 24 * 4 /1
x = 96
Hence, wall is divided into 96 squares
Determine whether this situation represents independent or dependent events. "Three green jelly bean, five red jelly beans and two orange jelly bean are in a bag. What is the probability of selecting an orange jelly bean, putting it back, and then selecting a green jelly bean?" Question 1 options: Independent Events Dependent Events
Answer:
Independent Events
Step-by-step explanation:
Given
[tex]Green = 3\\ Orange = 2\\ Red = 5[/tex]
Required
Dependent or independent event
The probability of selecting a green jelly remains unchanged before and after selecting the first orange jelly.
Before selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
After selecting the orange jelly:
[tex]P(Green) = \frac{Green}{Total}[/tex]
[tex]P(Green) = \frac{3}{10}[/tex]
Because the probabilities remain unchanged, the selection of a green jelly is independent of the selection of the first orange jelly.
Item 1 Solve the system by graphing. y=−x+5 y=x+1
So there is a graph is the comment ima bout to give put equation in and tada!
The binary operation is defined by a*b=(a+b)² - 2ab
Colulate the value of 3*4
Use the discriminant to determine if the following quadratic equations have complex or real solution(s). If an equation has real solution(s), determine the solution(s).
Part A: 4x^2-3x-10=0
part b x^2-14x+49=0
part c g [x]=x^2-8x-20
Part D: h[x]=x^2-9x+36
Part E: 3[x+2]^2+36=0
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A couple of friends decide to race each other. Valentina can run 7 meters per second, whereas Felipe can run 8 meters per second. Because she is slower, Valentina also gets a head start of 4 meters. Shortly after they start running, Felipe will catch up to Valentina. How long will that take? How far will Felipe have to run?
It will take ____seconds for Felipe to run ____meters and catch up to Valentina.
Simplify.
(−5) −1
Options:
1/5
5
−5
−1/5
Answer: 5
Step-by-step explanation:
What is the slope of the line that passes through the points (6, -2)(6,−2) and (12, -2) ?(12,−2)?
Answer:
true
Step-by-step explanation:
LEGIT PLEASE HELP NO LINKS AND IF YOU EVEN THINK FOR THE SLIGHTEST SECOND THAT YOU CAN HELP THAN DO SO PLEASEEEEEEEEEEEEEEE
Answer: A. 5x+x+18 = 180
Step-by-step explanation:
For B you need to find the value of x first.
5x + x + 18 = 180 is your equation.
Combine like terms: 5x+x = 6x
Equation should now look like this
6x + 18 = 180
Subtract 18 to both sides 180-18 = 162
Do 162/6 = 27
X = 27
WE ARE NOT DONE!!!!!
1. 5(27) = 135
2. 27+18 = 45
Angle 1 = 135
Angle 2 = 45
4e-12=36 how do u solve this
Answer:
4e-12=36
4e=36+12
4e=48
e=12
Step-by-step explanation:
pasos
1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)
2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)
3sumar los números es decir sumar (36+12)
4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)
5cualquier expresión dividida entre si es igual a 1
6calcular el cociente es decir (48/4 e=12)
Answer:
12
Step-by-step explanation:
4e=36+12
4e=48
e=12
hope it helps
Identify the vertex (the 2 beside the "x" means squared)
y=-x2 + 18x - 72
Answer:
Write the problem as a mathematical expression.
y=−x²+18x−72
Rewrite the equation in vertex form.
y=−(x−9)²+9
Use the vertex form, y=a(x−h)2+k , to determine the values of a, h, and k.
a=−1
h=9
k=9
Find the vertex (h,k).
(9,9)
Good Luck !
Step-by-step explanation:
Please hurry this is 7th grade hon math
Answer:
4) B
5) B
6) A
Step-by-step explanation:
Answer:
4) no
5) 8x + 1.50
6) 1, 2, 0, 5
Step-by-step explanation:
4) no- first step is to subtract 10
5) number of apples times price of $8 plus a single purchase of $1.50
6) all values greater than -2
Use trignometric ratios. round the value of x to the nearest tenth.
The correct answer will get Brainliest.
x/(12 m) = sin17°
x/(12 m) = 0,2924 / * 12 m
x ≈ 3,5 m
Are these triangles similar? Explain or show how you know.
Triangle A
110
25°
Triangle B
509
50°
Answer:
yes
Step-by-step explanation:
none of the sides are equal angle triangle:so there aren't the same triangles
PLEASE HELP
If the coordinates of A and B are A(5,5) and B(-1,-4) respectively, find the coordinates of the point c that
divides by the ratio 2:1
A (3,2)
C (1,-1)
B. (-1,-1)
D. (-1,1)
What is the image point of (-1,9) after a translation left 1 unit and
down 1 unit?
will give brainliest! please help quick
A can of soup is 12 cm tall and has a radius of 4 cm.
What is the volume of soup that the can will hold?
48π cm³
80π cm³
144π cm³
192π cm³
Answer:
192π cm³
Step-by-step explanation:
First, do π(4^2). Then, multiply that times the height. So, 50.24 x 12 = 602.88. But, the question is asking your answer in terms of π. So, do 4^2 x 12. So, 4^2 x 12, gives you the answer: 192. Now change that to make it in terms of π. So, your answer will be: 192π cm³
Answer:
give other brainliest
Step-by-step explanation:
Simplify the expression.
16(1/2x)^4
The simplified expression is
Answer:
[tex]\large\boxed{\mathtt{x^{4}}}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to simplify the expression.}[/tex]
[tex]\large\underline{\textsf{According to PEMDAS;}}[/tex]
[tex]\textsf{We should first remove the exponent by multiplying the values in the parentheses}[/tex]
[tex]\textsf{by themselves 4 times.}[/tex]
[tex]\tt (x+1)^{4}=(x+1)\times(x+1)\times(x+1)\times(x+1)[/tex]
[tex]\textsf{Evaluate the product, then multiply that product by 16.}[/tex]
[tex]\large\underline{\textsf{Remember that PEMDAS is;}}[/tex]
[tex]\textsf{Parentheses first; (?)}[/tex]
[tex]\textsf{Exponents next;} \ \tt y^{2}[/tex]
[tex]\textsf{Multiplication or Division next;} \ \mathtt{ \times / \div}[/tex]
[tex]\textsf{Addition or Subtraction last;} \ \mathtt{ +/-}[/tex]
[tex]\textsf{PEMDAS is \underline{always} in this order.}[/tex]
[tex]\large\underline{\textsf{For our Expression;}}[/tex]
[tex]\tt 16(\frac{1}{2} x)^{4}[/tex]
[tex]\underline{\textsf{This expression is the same as;}}[/tex]
[tex]\tt 16 \times (\frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x \times \frac{1}{2}x)[/tex]
[tex]\textsf{According to PEMDAS, simplify what's in the parentheses first.}[/tex]
[tex]\underline{\textsf{We should have;}}[/tex]
[tex]\tt 16 \times (\frac{1}{16}x^{4})[/tex]
[tex]\textsf{16 and 1/16 are reciprocals, so they \underline{cancel} each other out.}[/tex]
[tex]\large\underline{\textsf{Hence, our final answer should be;}}[/tex]
[tex]\large\boxed{\mathtt{x^{4}}}[/tex]
Factor the following polynomial by determining a greatest common factor 20a^2b-8ab
Answer:
20a²b-8ab= 4ab(5a -2b)
Solve for q.
3(q − 7) = 27
q =
Answer:
The answer is, q = 16.
Step-by-step explanation:
1) Divide both sides by 3.
[tex]q - 7 = \frac{27}{3} [/tex]
2) Simplify 27/3 to 9.
[tex]q - 7 = 9[/tex]
3) Add 7 to both sides.
[tex]q = 9 + 7[/tex]
4) Simplify 9 + 7 to 16.
[tex]q = 16[/tex]
Therefor, the answer is q = 16.
Answer:
q=16
Step-by-step explanation:
To solve this problem, you'll want to start by distributing the 3 to both q and -7, which will give you 3q-21=27. Then, you should add 21 to both sides, which will get the variable alone on one side of the equation. After that step, your equation should be 3q=48. Lastly, divide both sides by 3, which will give you the answer q=16!
can you solve this? please
1) Answer:
[tex] \frac{7}{24} [/tex]
2) Answer:
[tex] \frac{5}{6} [/tex]
3) Answer:
[tex]1 \frac{4}{5} [/tex]
4) Answer:
[tex] \frac{1}{12} [/tex]
hope it helps.
Answer:
1.) 7/27
2.)5/6
3.)9/5
4.)1/12
Plz answer if u really know it thanks so much
which of the following are solutions to the equation below?
check all that apply.
x^2+3x-18=0
A. 6
B. -3
C. -6
D. 18
E. 3