Answer:
11.64
Step-by-step explanation:
24.68/2.12=11.64
Find the number of ways of placing 4 balls in 5 boxes if the balls are distinguishable and the boxes are distinguishable.
Step-by-step explanation:
let's start with combinations, where the order does not matter - the 4 basis are indistinguishable.
C(5, 4) = 5! / (4! × (5-4)!) = 5! / 4! = 5
that makes sense, of course, as we only need to trace the possibilities for the one empty box : 5 possibilities.
now, the order of the 4 balls matter.
the 4! term in the denominator was actually taking that away, so we need to remove it.
that turns the combinations into permutations, where the order matters.
P(5, 4) = 5! / (5 - 4)! = 5! = 5×4×3×2×1 = 120
4 distinguishable balls can be placed in 5 distinguishable boxes in 120 ways.
Ashley is selling goodie bags for a school bake sale . It costs her $250 for the ingredients to make the treats and $ 1.25 to package them . She plans on selling the goodie bags for $ 3.60 . How many goodie bags will she need to sell in order to break even .
The number of goodie bags she will need to sell is 107.
How many goodie bag must she sell?Breakeven is when profit is zero. it is the point where total cost is equal to total revenue.
Breakeven: Total cost = total revenue
fixed cost + variable cost = price x quantity sold
fixed cost + (cost per unit x quantity sold)
$250 + (1.25 x q) = 3.60 x q
$250 + 1.25q = 3.60q
In order to determine the value of q, take the following steps:
Combine and add similar terms :
$250 = 3.60q - 1.25q
$250 = 2.35q
Divide both sides o the equation by 2.35
q = 250/2.35
q = 106.3 = 107
To learn m8re about breakeven, please check: https://brainly.com/question/10190285
SPJ1
What is the product?
(4s+2)(5s²+10s+3)
20s²+20s+6
20s³ +40s²+12s
20s^3 +10s^2 +32s+6
20s³ +50s²+32s+6
Answer:
Answer
Step-by-step explanation:
20s³ +50s²+32s+6
Find the missing length.
Answer:
125
Step-by-step explanation:
2^2+11^2=c^2
4+121=c^2
125=c^2
c=125 square root
17. Assessment Focus Students baked
cookies for a charity bake sale.
Elsa baked 2 dozen cookies.
Layton baked 2 times as many
cookies as Elsa. Meghan and Josh
together baked 5 times the number of
cookies that Elsa baked.
a) Estimate. About how many dozen
cookies did Layton bake? About
how many dozen cookies did
Meghan and Josh bake altogether?
b) Calculate how many dozen cookies
Layton baked.
c) Calculate how many dozen cookies
Meghan and Josh baked.
d) How many dozen cookies did these
4 students bake altogether?
e) How many cookies did these
4 students bake altogether?
Show your work.
Answer:
Step-by-step explanation:
a)24
b)4
c)10
d)16
e)172
Answer to this angle question
Check the picture below.
4. The 92 million Americans of age 50 and over control 50% of all discretionary income. AARP estimates that the average annual expenditure on restaurants and carryout food was $1,873 for individuals in the age group. Suppose this estimate is based on a sample of 80 persons and that the sample standard deviation is $550. a. At 95% confidence, what is the margin of error? b. What is the 95% confidence interval for the population mean amount spent on restaurants and carryout food? c. What is your estimate of the total amount spent by Americans of age 50 and over on restaurants and carryout food? d. If the amount spent on restaurants and carryout food is skewed to the right, would you expect the median amount spent to be greater than or less than$1,873?
a) The margin of error for the 95% confidence interval is given as follows: $122.4.
b) The 95% confidence interval for the population mean amount spent on restaurants and carryout food is given as follows: ($1,750.6, $1,995.4).
c) The estimate of the total amount spent by Americans of age 50 and over on restaurants and carryout food is between $161,055,200,000 and $183,576,800,000.
d) As the distribution os skewed to the right, the median would be expected to be less than the mean.
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
The margin of error is then defined as follows:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 80 - 1 = 79 df, is t = 1.9905.
The parameters for this problem are given as follows:
[tex]\overline{x} = 1873, s = 550, n = 80[/tex]
Hence the margin of error is of:
[tex]M = 1.9905 \times \frac{550}{\sqrt{80}} = 122.40[/tex]
Considering the sample mean and the margin of error, the bounds of the confidence interval are given as follows:
Lower bound: 1873 - 122.40 = $1,750.6.Upper bound: 1873 + 122.40 = $1,995.4.Considering the bounds of the confidence interval and the population of 92 million, the bounds of the estimate of the total amount are given as follows:
Lower bound: 92,000,000 x 1,750.6 = 161,055,200,000.Upper bound: 92,000,000 x 1,995.4 = 183,576,800,000.The relation between mean, median and skewness is given as follows:
Mean greater than median: Positively(right) skewed.Mean less than the median: Negatively(left) skewed.More can be learned about the t-distribution at https://brainly.com/question/17073112
#SPJ1
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people. A party of 8 had a bill of p. Which expression can be used to find the total cost of the meal with the gratuity.
The total cost of the meal with the gratuity is $1.18p.
What is gratuity?
The amount that a company pays its employee as a "gratuity" for services rendered to it is referred to as a gratuity. The gratuity amount, however, is only given to employees who have worked for the business for five years or longer.
For each completed six-month period, the gratuity amount is equal to one-fourth of the employee's most recent basic salary.
Given:
A restaurant charges an automatic gratuity of 18% on tables with more than 6 people.
A party of 8 had a bill of p.
Since there are 8 people so, gratuity will be applied on the bill
Since bill is of amount p
So, gratuity of 18 % of p = 18% * p
= (18 / 100) *p
= 0.18p
Now the total bill after adding gratuity = p + 0.18p
= 1.18p
Hence, the total cost of the meal with the gratuity is $1.18p.
To know more about gratuity, click on the link
https://brainly.com/question/2894582
#SPJ1
5x+9y=561
Show with elimination or substitution please
The solution to the equation 5x + 9y = 561 and 5x + 6y = 276 is x = -58.8, y = 95
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Given the equation:
5x + 9y = 561 (1)
Let us assume the second equation is:
5x + 6y = 276 (2)
To solve using elimination method, subtract equation 2 from 1:
3y = 285
y = 95
Put y = 95 in equation 1:
5x + 9(95) = 561
5x = -284
x = -58.8
The solution is x = -58.8, y = 95
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
I nee help on Interquatile
The interquartile range of the data given the first quartile and the third quartile is equal to 25.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile.
The IQR is a measure of variability that is based on the division of a data set into quartiles.
The data arranged in ascending order as;
4,5, 6, 8, 9, 11, 13, 16, 16, 18, 20,21, 25,30, 33, 36, 37, 40, 41
Third quartile = 3/4(n + 1) = 3/4 x 20
= 15th term
= 50
First quartile = 1/4 x (n + 1) = 1/4 x 20
= 5th term
= 25
Thererfore, Interquartile range = 50 - 25 = 25
To learn more about interquartile range, please check: brainly.com/question/3966385
#SPJ1
What’s the answer Question 43
Answer:
90
Step-by-step explanation:
15 to first 20
so 120 = 6*20
so 6*15 =90
Understanding the meanings of words and phrases helps translate into algebraic expressions.
Example: 6 multiplied by the absolute value of 7 less than the cube of a number
6 · |n³ – 7|
? Question
What algebraic expression belongs with each verbal description?
the square root of the ____
of the ____ of a ____ and 11 → √x2² - 11 the ____ of __ times a number and -11 → -2x/11
the __ of the ____ ___ of two times a number and 11 → √2x + 11
The correct statement is- the square root of the __difference__ of a _the polynomial x²_ and 11 → √x² - 11 the __product__ of _-2x_ times a number and reciprocal of -11 → -2x/11 the sum_ of the __square root__ of two times a number and 11 → √2x + 11.
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here, [tex]\sqrt{x^2-11}[/tex] , This in word phrase can be written the square root of the difference between a square of a number and 11.
-2x/11 can be written as twice the number multiplied by the reciprocal of -11
√2x + 11 can be written as sum of square root of twice the number and 11
Hence, The correct statement is- the square root of the __difference__ of a _the polynomial x²_ and 11 → √x² - 11 the __product__ of _-2x_ times a number and reciprocal of -11 → -2x/11 the sum_ of the __square root__ of two times a number and 11 → √2x + 11.
Learn more about polynomial expressions here:
https://brainly.com/question/11536910
#SPJ1
A factory that produces toy wheels finds that they must discard 3 out of 100 wheels because they are defective. How many wheels would they expect to discard everyday if the factory produces 1200 wheels per hour in each 8 hr day.
they expect to discard everyday 288.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, given that,
they must discard 3 out of 100 wheels because they are defective.
the factory produces 1200 wheels per hour in each 8 hr day.
total per day = 9600
so, they expect to discard everyday =9600 * 3%
=288
hence, they expect to discard everyday 288.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?[tex]$\frac{d}{d x}\left(-(x-2)^2+1\right)$[/tex]
Domain of [tex]$-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]
Range of [tex]$-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$[/tex]
Interception zones on the axis [tex]$-(x-2)^2+1: \quad X$[/tex] Intercepts: [tex]$(3,0),(1,0), Y$[/tex]Intercepts: (0,-3) .
Vertex of [tex]$-(x-2)^2+1: \quad$[/tex] Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
To learn more about graph refer to :
https://brainly.com/question/19040584
#SPJ1
The ten -digit number 3872649A0B is divisible by 36 . The letters A and B each represent single digit even numbers. Find the sum A+B. Please answer.
The sum of A and B in the ten digits numbers is 6.
How to find the sum of the variables in the digit?The ten-digit number 3872649A0B is divisible by 36 . Therefore, the ten digit number can divide 36 without any remainder.
Hence, the letters A and B each represent single digit even numbers. Even numbers are numbers that can divide 2 without remainders.
Therefore, let's find the sum of the numbers A and B.
Since, the numbers are single digits and even the numbers are 2, 4, 6 or 8.
Therefore, lets do trial and error to know what will be replaced in the ten digits to divide 36 without remainder.
Therefore, the numbers are 2 and 4.
Where,
A = 2
B = 4
3872649204 ÷ 36 = 107573589
Therefore,
A + B = 2 + 4 = 6
learn more on sum here: bhttps://brainly.com/question/122064
#SPJ1
20 POINTS PLEASE I NEED THIS RIGHT NOW!!!!!!!
A system of equations is given.
Equation 1: 5x − 2y = 10
Equation 2: 4x − 3y = 15
Explain how to eliminate x in the system of equations.
Hope it helps.
Please send your query through comment section.
Step-by-step explanation:
the funny thing with equations is we can transform them (as long as we do every operation in both sides), and we can even add them up or subtract from each other to get new equations that are maybe simpler to solve.
to eliminate x i would recommend to multiply the first equation by 4, and the second equation by 5 and then subtract equation 2 from equation 1 (comparable term by comparable term).
5x - 2y = 10
4x - 3y = 15
would then turn into
20x - 8y = 40
- 20x - 15y = 75
------------------------
0 7y = -35
y = -35/7 = -5
now we can pick any original equation to solve for x.
e.g.
5x - 2×-5 = 10
5x + 10 = 10
5x = 0
x = 0
Triangle FYJ is congruent to triangle HYJ using the
Triangle Congruence Theorem. Therefore, segment
FJ is congruent to segment
Figure FJHW
JW 1 FH, FY≈ HY, JY WY
W
H
Triangle FYJ is congruent to triangle HYJ using the RHS congruency theorem.
FJ is congruent to segment HJ.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know right angle hypotenuse congruency, which states two right angle triangles are congruent if one of the legs and hypotenuse corresponding to the other right angle triangle is equal in measure.
Triangle FYJ is congruent to triangle HYJ as FY is congruent to HY and JH is congruent to JH.
So, Their hypotenuses are also equal in measure.
Hence, FJ is congruent to JH.
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ1
Let p be you are a baby. Let Q be you are logical. Let r be you can manage a crocodile. Let S be you are despised. Translate the following Statement into symbolic form. Babies are illogical
A.) Q ➡️~P
B.) ~P ➡️~Q
C.) P➡️~Q
D.) Q➡️P
Translating the statement "Babies are illogical" into symbolic form willoll be C. P➡️~Q
What is a symbolic form?Symbols and logical connectors are used in symbolic sentences to represent the sentence's logic.
A letter, such as p, can represent an entire statement in symbolic logic.
In symbolic form, the argument is p → q ~p ∴ ~q It is in the form of the fallacy of the inverse and it is a fallacy, or invalid
In this case, it should be noted that since p is that you are a baby and Q be you are logical. The symbolic form will be C.
Learn more about symbolic form on:
https://brainly.com/question/29057571
#SPJ1
Ill give brainiest to who ever answers
Answer:
Angle EBC = 88
because of the angle bisector theorem
44 + 44 = 88
Answer:88°
Step-by-step explanation:
EBD is equal to 44°, while DBC is also equal to 44° if you see it well.
So EBD and DBC together is 88°.
44°+44°=88°
v+w=7
v+w=1
helpppppppppppppp
Answer:
4+3=7
-2+3=7
Step-by-step explanation:
suppose X varies directly with Y and inversely with Z. when x=3, y=10 and z=9. find x when y=12 and z=21
The value of x is 54/35 when y=12 and z=21. The solution is obtained using the concept of relations and functions.
What is relation and function?
A relation belongs to the Cartesian product's subgroup or just a lot of points (ordered pairs). In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets.
A function is a special sort of relation (a collection of ordered pairs) that adheres to the rule that every X-value should only be connected with one y-value.
We are given that x varies directly as y and inversely as z.
This means that x ∝ y and x ∝ 1/z
So, x ∝ y/z
=> x = k*y/z ( k is a constant)
Now, it is given that x = 3 when y = 10 and z = 9
So,
=> 3 = k*10/9
=> k = 27/10
=> x = 27y/10z
When y=12 and z=21,
=> x = 27*12/10*21
=> x = 54/35
Hence, the value of x is 54/35 when y=12 and z=21.
Learn more about relation and function from the given link
https://brainly.com/question/29252006
#SPJ1
K
Round to the nearest given place.
1.80642 thousandths
www
Answer:
1.80642 rounded to the nearest thousandth is 1.806.
Step-by-step explanation:
The guy above me is correct
Please can someone help me on this question i will give out 30 points and brainly if you give me the right answer
Answer: A irregular
b. irregular
c neither
d. Regular
e. regular
Step-by-step explanation: Regular polygons have all sides equal in length but an irregular polygon does not have all sides equal.
Answer:
A: Irregular polygon
B: Irregular polygon
C: Neither
D: Regular polygon
E: Regular polygon
Step-by-step explanation:
To start off with, we can eliminate C for being a polygon (neither), because being a polygon states the shape must be closed with a finite number of line segments (a circle has an infinite amount of line segments).
A regular polygon states that it must have an equal distance on all sides. We can find this by looking at what shapes have a line (which represents that it has the same length) on all sides. The only polygons that fit this requirement are D and E.
From here we can see that the remaining polygons of A and B are in fact irregular polygons by process of elimination.
A smoke-detector system uses three devices, A, B and C. If smoke is present, the probability that it will be detected by device A is 0.92; by device B is 0.98; and by device C is 0.93. If smoke is present, find the probability that the smoke will be detected by the three devices. Round your answer to 4 decimal places.
Answer:
Step-by-step explanation:
Pleaseeeeew i beg you
A boat can travel 370 miles in 185 gallons. How much gasoline it needs to travel 444 miles. [tex]370:185[/tex]
Answer: 222 gallons of gasoline to travel 444 miles.
Step-by-step explanation: To find how much gasoline the boat needs to travel 444 miles, we need to use the formula:
distance = rate x time
Where distance is the total distance to be traveled, rate is the distance per unit of fuel (370 miles/185 gallons) and time is the amount of fuel required to travel 444 miles.
So we can calculate the fuel required as:
Fuel = (distance) / (rate)
Fuel = (444 miles) / (370 miles/185 gallons) = 444/ (370/185) = 444/2 = 222 gallons.
So the boat needs 222 gallons of gasoline to travel 444 miles.
PLEASE HELP ASAP WILL GIVE POINTS AND BRANLIST Solve the system of linear equations by graphing.
Y=-1/2x+3
Y=1/2x-2
Options are on picture
Hope it helps.
Please send your query through comment section.
Solving by Factoring
Please explain in detail the strategy, Solving by Factoring, discussed in the lesson Quadratic in Form Polynomials. Include an example with this explanation to clearly explain the process.
Answer:
Step-by-step explanation:
Solving by factoring is a strategy for solving a polynomial equation that is in quadratic form. Quadratic form means that the equation is of the form ax^2+bx+c=0, where a,b, and c are real numbers. When factoring, the goal is to express the equation as the product of two simpler equations. To do this, we must factor the quadratic equation into two linear equations, each with a single variable.
For example, consider the equation x^2+3x-4=0. To factor this equation, we can first rewrite it as (x+4)(x-1)=0. This is the same as x+4=0 and x-1=0. We can then solve each of these linear equations to find the solutions. In this case, the solutions are x=-4 and x=1.
Therefore, the strategy of solving by factoring is to rewrite a polynomial equation in quadratic form as the product of two simpler equations, and then solve each of these equations. The solutions to the original equation can then be found by solving each of the linear equations.
The ratio of 1.2 to 32 is the same as the ratio of 4.8 to ———-.
Answer:
128
Step-by-step explanation:
1.2*4 =4.8
so 32*4 = 128
Maria has 12 bags of chocolate chips in her pantry. A batch of cupcakes requires og legs of chocolate chips, and a batch of cookies requires or bags
chocolate chips. If none of the chocolate chips are wasted and she makes 8 complete batches of cookies, what is the maximum number of complete
batches of cupcakes that she can make?
Answer:
10
Step-by-step explanation:
Maria has 12 bags of chocolate chips, and each batch of cookies requires 1/2 bag of chocolate chips, and she makes 8 complete batches of cookies. So we can calculate the number of bags of chocolate chips used by:
1/2 * 8 = 4 bags
The number of bags of chocolate chips left after making the cookies is:
12 - 4 = 8 bags
A batch of cupcakes requires 3/4 of a bag of chocolate chips, and Maria has 8 bags of chocolate chips left. So we can calculate the maximum number of complete batches of cupcakes that she can make by:
8 / (3/4) = 8 * (4/3) = 32/3 = 10.67
Maria can make a maximum of 10 complete batches of cupcakes. Since a batch of cupcakes cannot be fractional, it means Maria can't make any more cupcakes after using all the chocolate chips.
