Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways in which 6 marbles can be put in three different jars is 720.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
Given that there are 6 marbles and 3 different jars. Therefore, The number of ways in which 6 marbles can be put in three different jars is,
Number of ways = ⁶P₃ × 3!
= 120 × 6
= 720
Hence, The number of ways in which 6 marbles can be put in three different jars is 720.
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Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?
Answer:
The volume of the small marble is 500ml or 0.5 liters
Step-by-step explanation:
Mass of the small marble = 1.3kg
Convert it into grams
Mass of the small marble = 1300 grams
Density of the small marble = 2.6 grams/ml
Volume of the small marble = ?
The formula for density is given as:
Density = Mass / Volume
Where we need to find the volume, so rearrange the equation with respect to Volume.
Volume = Mass / Density
Volume = 1300 (grams) / 2.6 (grams/ml)
Volume = 500 ml
Thus, the volume of the small marble is 500ml or 0.5 liters
What is this expression in simplified form?
(8/10)(8/5)
OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2
Answer:
A.64/50
Step-by-step explanation:
8/10*8/5
64/50
The least simplified form of the equation is 32/25
The simplified form of expression is option (D) 64/50 is the correct answer.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is (8/10)(8/5)
The simplified form of expression is
⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]
⇒ [tex]\frac{64}{50}[/tex]
Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.
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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.
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function
Answer:
Step-by-step explanation:
d= distance
t= time
The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.
(T) (D)
1 30
2 60
3 90
4 120
5 150
These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.
HURRRYYYY FIRST GETS BRAINLLEST Janine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is even and greater than 80? Input your answer as a decimal or fraction.
Answer:
1/10 or ( 0.1 )
Step-by-step explanation:
no. of even no.s greater than 80 = 10
Total no.of numbers = 100
So P(no. of even no.s greater than 80) = 10/100 = 1/10
Answer:
There are 10 even numbers greater than 80.
So Probability of getting an even numbers greater than 80 is 10/100 (1/10)
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Have a nice day PPLS!!!!!!!
A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.
Answer:
sample.
Step-by-step explanation:
It is given that a department store wants to know what motivated customers to visit their store on that particular day.
We need to fill the blank.
Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10 survey participants are male.
For survey, researchers need small part of whole data, i.e., sample.
So, the required answer is "sample".
Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10 survey participants are male.
Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.
What is a Sampling Error?A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.
To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.
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The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.
Answer:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Step-by-step explanation:
Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
Multiplying this out, we get:
f(x) = (x + 2)(x^2 - 1)(x - 3), or
f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:
f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:
f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6
Combining like terms, we get:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.
Which statement is true regarding the graphed functions?
Answer:
C
Step-by-step explanation:
You can look them up in the graphs.
f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.
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
Does the graph represent a function?
Answer:
yes
Step-by-step explanation:
p/3=5 please i need help on this one as well
Answer:
if p/5=3 then the answer is p=15
Step-by-step explanation:
the first step is to isolate the variable and this is done by multiplying both sides by 5
the result of this is p= 5 times 3 which equals 15
Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?
Answer: 9 yards
Step-by-step explanation:
The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9
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
PLEASE HURRY! ILL GIVE BRAINLEIST!
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:
Need help finding the missing length to the attached triangle.
Answer:
1500
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]
Answer:
1500
Step-by-step explanation:
Use the right triangle altitude theorem.
x/900 = 2500/x
x^2 = 900 * 2500
x = sqrt(900 * 2500)
x = 30 * 50
x = 1500
I am interested in the how, not just an answer. Who can show me the correct solution path?
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:
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...
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.
I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao
Answer:
the ratio is 1:3
Step-by-step explanation:
In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?
Answer:
Z = 8
Step-by-step explanation:
4 5/8 = 37/8
1/Z = 37/8
So..
Z = 8
Hope this helps! :)
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
1
Step-by-step explanation:
answer is 1 trust me use simple algebra
32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is
A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x
Answer:
B. a^2x
Step-by-step explanation:
squaring a^x gives. (a^x)²
by applying the rules of indices, ^2 multiplies x therefore making it a^2x
What is the value of a?
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?
Answer:
.7
Step-by-step explanation:
Solve for b. -11b+7 = 40−11b+7=40
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
Thus,
the equation given is false.
Hope this helps :)
Answer:
b= -3
Step-by-step explanation:
So uh it was not -11b+7 = 40−11b+7=40
it was -11b+7 = 40 the equasion was probably just copy pasted twice.
Sorry im late i just got this question on khan acadamey
hope this helps
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
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
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Trying to find the missing segment to the triangle in the attached image.
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
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: