The lunch menu is an illustration of permutation and combination
There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repititionThe lunch menu
To answer this question, the following set of lunch menu would be used:
Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.How to select 3 lunch menu with repitition?Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.
So, the number of selection is:
n = 5³
Evaluate
n = 125
Possible selections are:
Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichHow to select 3 lunch menu with repitition?Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.
So, the number of selection is:
n = ⁵C₃
Evaluate
n = 10
Possible selections are:
Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.Read more about combination at:
https://brainly.com/question/11732255
LA=
Round your answer to the nearest hundredth.
Answer:
48.81
Step-by-step explanation:
Since we are given a right triangle, and we are trying to find a angle, we use the
SOH-CAH- TOA.
In relation to the angle, we know a side opposite of the angle and the side adjacent to the angle.
We use Tangent, which states that
[tex] \tan(x) = \frac{o}{a} [/tex]
Here the opposite side is 8
The adjacent side is 7.
[tex] \tan(x) = \frac{8}{7} [/tex]
Take the Inverse Tangent,
[tex] \tan {}^{ - 1} (( \tan(x) ) = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
[tex]x = \tan {}^{ - 1} ( \frac{8}{7} ) [/tex]
Which gives us 48.81
Answer:
∠ A ≈ 48.81°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{7}[/tex] , then
∠ A = [tex]tan^{-1}[/tex] ( [tex]\frac{8}{7}[/tex] ) ≈ 48.81° ( to the nearest hundredth )
Kyle designs and conducts a computer simulation with 25 trials and uses the data to create the relative frequency bar graph shown. The graph shows the relative frequency of number rolls needed of a number cube in order to roll all of the odd numbers. According to the results of the simulation, what is the experimental probability that 6 or fewer rolls are needed to roll all of the odd numbers? Express your answer as a percent.
Answer:
thirty-six, thirty six, 36%, thirty-six percent, thirty six percent, or 36 percent
-2/3 + [3/5 + -5/7]
HELP
Answer:
[tex]=-\frac{82}{105}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3}+\left[\frac{3}{5}+\left(-\frac{5}{7}\right)\right][/tex]
[tex]\frac{3}{5}+\left(-\frac{5}{7}\right)[/tex]
[tex]=-\frac{4}{35}[/tex]
[tex]=-\frac{2}{3}-\frac{4}{35}[/tex]
[tex]=-\frac{82}{105}[/tex]
[tex]\huge\text{Hey there\bf!}[/tex]
[tex]\mathsf{-\dfrac{2}{3} + [\dfrac{3}{5} + -\dfrac{5}{7}]}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} + - \dfrac{5}{7}}[/tex]
[tex]\mathtt{= - \dfrac{2}{3} + \dfrac{3}{5} - \dfrac{5}{7}}[/tex]
[tex]\mathtt{-\dfrac{2\times35}{3\times35} + \dfrac{3\times21}{5\times21} - \dfrac{5\times15}{7\times15}}[/tex]
[tex]\mathtt{= -\dfrac{70}{105} + \dfrac{63}{105}- \dfrac{75}{105}}[/tex]
[tex]\mathtt{= \dfrac{-70 + 63 - 75}{105 + 0 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-7 - 75}{105 - 0}}[/tex]
[tex]\mathtt{= \dfrac{-82}{105}}[/tex]
[tex]\mathtt{= -\dfrac{82}{105}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathtt{\mathtt{= -\dfrac{82}{105}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is the LCD of 6,4,3,42.?
Answer:
84 is the smallest number that is evenly divisible by 6, 4, 3, & 42 without a remainder.
84 ÷ 6 = 14
84 ÷ 4 = 21
84 ÷ 3 = 28
84 ÷ 42 = 2
24.2 16.9 6.7 Per. =
Check the picture below.
Help!!!
I need help
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
write an expression that has the same value of 5 to the power of 4
Answer:
5x5x5x5
Step-by-step explanation:
The expression that has the same value as [tex]5^4[/tex] is 25² or 625.
What are Exponents and powers?Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.
The number of times a given integer is multiplied by itself is represented as an exponent.The expression obtained by multiplying a number by itself n times is known as the nth power of the supplied integer.We have [tex]5^4[/tex].
Usually exponents can be expand using the number the power is raised.
As, if we have 9³ then it means 9 is multiplies by itself three times.
So, 9³ = 9 x 9 x 9= 729
Now, we have to expand [tex]5^4[/tex] as
= 5 x 5 x 5 x 5
= 5² x 5²
= 25 x 25
= 25²
= 625
So, the Equivalent value to [tex]5^4[/tex] is 25² or or 5² x 5² or 625.
Learn more about Exponent and power here:
https://brainly.com/question/15722035
#SPJ7
Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk. You use 50 additional minutes this month. What is your bill for the month?
CLEAR CHECK
Answer:
55
Step-by-step explanation:
cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
Let the monthly charge be y and x be the number of additional minutes.
So, the equation becomes,
y = 50 + 0.10(x)
For, The given month the additional minutes are 50.
so, y = 50 + 0.10(50) = 55
Answer:
here;
per month-50$ for 400 m
now'
50*0.10$
5$
again;
monthly + additional
50+5
$55
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answer: B
Step-by-step explanation:
Help please
10(5-n)-1=29
Hey there!
10(5 - n) - 1 = 29
10(5) + 10(-n) - 1 = 29
50 - 10n - 1 = 29
49 - 10n = 29
-10n + 49 = 29
ADD 49 to BOTH SIDES
-10n + 49 - 49 = 29 - 49
WORK IT OUT or SIMPLIFY IT!
NEW EQUATION: -10n = -20
DIVIDE -10 to BOTH SIDES
-10n/-10 = -20/-10
WORK IT OUT or SIMPLIFY IT AS WELL!
n = 2
Therefore, your answer is: n = 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
n=2
Step-by-step explanation:
Step #1. Distribute the 10 to (5-n) which is 50-10n
Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29
Step #3. Subtract. -10n+49-49=29-49
Step #4. Simplify again. -10n = -20
Step #5. Divide. -10n/-10= -20/-10
Step #6. Simplify again. n=2
There you have it! N is equal to 2! please mark be as brainliest if you can.
Hope this helps!
whats the answer need it quick
[tex] \huge\fbox\green{ANSWER} [/tex]
[tex] \huge \mathsf \orange{4 \: turning \: points}[/tex]
18. A variety of species of Galapagos finches evolved from one original species long ago through the process of A. as reproduction B. ecological succession C. natural selection D. selective breading
Pls help will give brainlest
c , Natural selection is the process where species evolved over time through trying to adapt their environment.
haven’t done this for awhile. I’m confused
Answer:
—8, —5, —2, 1, 4
Step-by-step explanation:
Check out the attached photo
Brainliest and 50 points
are the polygons similar?
A) no; there is not a consistent ratio
B) yes; the scale factor from ADKG to WMLZ is 3/4
C) yes; the scale factor from ADKG to WMLZ is 3/2
D) yes; the scale factor from ADKG to WMLZ is 2/3
Answer:
A) no; there is not a consistent ratio
Step-by-step explanation:
If the polygons are similar than the corresponding sides will have similar ratios.
The corresponding sides of the polygons are (AD and WM) and (DK and ML)
The ratio from AD to WM is 6/4 or 1.5 and the ratio to DK to ML is 8/6 or 1.33
The corresponding sides do not have a common ratio therefore the polygon is not similar
how many periods of the function y=tan x are there between -3pi/4 and 5pi/4? need help ASAP
Answer:
2
Step-by-step explanation:
Using the graph of tanx attached, we know that each period starts and restarts after each π. I've contrasted the periods of the functions in blue versus what we have between the two points in green.
From -3π/4 to 5π/4, we have.....
1/4 of a period
1 full period
3/4 of a period
1/4 + 1 + 3/4 = 2 periods
I hope this helps!
Ada got a new puppy for Christmas. She went to the pet store to buy the
things she needed for her puppy. She bought a collar for $18.37, an
identification tag for $15.67, a chew toy for $8.23, puppy shampoo for
$19.26, and a food and water dish for $21.28. The pet store gave her an
$7.50 discount for spending more than $50.00. How much did Ada spend
altogether?
Answer:
Hope it helps you.
____________________
Answer:
The solution is 215/2
Step-by-step explanation:
2×21,5÷2/5
= 2×43/2×5/2
= 43/2×5
= 215/2
= 107 1/2
The books namely Math, English, Arabic, Physics, and Chemistry are arranged in the rack by the librarian. What is the probability of Math book will be kept in first place?
Answer:
P(4,4) / P(5/5) = 1/5
Step-by-step explanation:
Total possibility:
All the 5 books can be arranged in a rack with P(5,5)=5! ways
Favorable Possibility:
Math book is kept in a first place, it mean that it is fixed
So remaining 4 books and that can be arranged in P(4,4)=4! ways
Hence,
Probability= number of favorable cases / total number of possibilities
Probability = P(4,4) / P(5,5) = 4! / 5! = 1/5
If f(x) = 3x^5 + 4x^4 + 5, then what is the remainder when f(x) is divided by
X + 3?
Answer:
remainder: -400
Explanation:
[tex]\sf f(x) = 3x^5 + 4x^4 + 5[/tex]
divided by x + 3
x + 3 = 0x = -3insert x = -3 in the function
[tex]\sf f(x) = 3(-3)^5 + 4(-3)^4 + 5[/tex]
[tex]\sf f(-3) = -400[/tex]
What is the difference between 3/4 and 1 1/2
Answer:
3
Step-by-step explanation:11/2 = to 6/2 so the diffrence is 3 im geussing
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answer:
Step-by-step explanation:
As the planets revolve around the Sun, sometimes Earth is between the Sun and Mars (Point A) and sometimes the Sun is between Earth and Mars (Point B). The distance from the Sun to Mars is approximately 2.3 times 10 Superscript 8 km, and the distance from the Sun to Earth is approximately 1.5 times 10 Superscript 8 km.
The rotations of Earth and Mars around the sun.
Which statements are true? Check all that apply.
Answer:
ummmm i think its B and D
Step-by-step explanation:
Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:
(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)
The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
How to determine the solutions?The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
Read more about system of equations at:
https://brainly.com/question/14323743
Answer:
D.
(–2, 7) and (1, 1)
Step-by-step explanation:
I took the algebra exam
In the data set below, what is the interquartile range?
15
24
34
34
36
60
70
73
87
91
91
95
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed, and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?
In a group of 42 students, 10 study both Art and Biology.
13 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.
to find:the probability of the students who studies art and biology.
solution:A= students study art
B= students study biology
N=42
n (ANB)= 10
n (A'NB)= 13
n (A'NB')= 7
the number of students who study only art:
n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')
= 42.10 - 13 - 7
= 12
the number of students who study only art:
= 16
p (ANB)= n (ANB)/N
= 10/40
= 0.238
probability the student who studies art and biology is 0.238.
what is the slope of y = 15x + 5
Answer:
15
Step-by-step explanation:
from equation y= mx+c
we can equate m (slope/gradient) to 15
In a bag there are 2 red marbles, 3 white marbles and 5 blue marbles. Once a marble is selected, it is NOT replaced. Find the P(Blue then Red). Write your answer as a percent rounded to the nearest whole number.
Answer:
For each draw, it is the number of that color, divided by the total number of marbles. For more than one draw, just multiply the fractions.Take a look at what I did. It should become clear.
Step-by-step explanation:
PLS HELP THIS IS DUE TOMMROW
Write the prime factorization of the
numerator and denominator of this
fraction. Then reduce the fraction.
420
630
(Question 18 on the pic)
I WILL MARK AS BRAINLYEST AND GIVE POINTS
Answer:
Reducing 420/630
420/630 = (?)
420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*
= 2/3
420/630 = 2/3
The simplest form of 420/630 is 2/3
2/3 is the lowest term of 420/630.
Prime FACTORING:
This should help for visuals for 420:
420
| \
210 2
| \
105 2
| \
35 3
| \
7 5
This should help for visuals for 630:
630
| \
315 2
| \
105 3
| \
35 3
| \
7 5
How many unique triangles can be draw waith side lengths id 12 cm and 16 cm, and a 50 degree included angle?
Answer:
the answer for this question is 1