The probability of losing 10 to 20 suitcase between a week is 0.8313 by the airline company.
Given what we know,
μ = 15. 5 and σ = 3. 6
Additionally, the weekly distribution of missing baggage along a particular route is roughly average.
z =( x - μ ) / σ
Therefore,
z(20) = (20-15.5)/3.6
= 1.25
P(x < 20)
= P(z < 1.25)
= 0.8944
Therefore, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
The ratio of good outcomes to all possible outcomes of an event is known as the probability.
The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results
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if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?
Yes , the confidence interval still valid because the sample size is large ( n = 100 is greater than 30 ).
Given :
Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .
if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid .
Here
sample size n = 100
The sample size is a term used in market research for defining the number of subjects included in a sample size.
here
n > 30
Hence the confidence interval is still valid .
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Full question:
Monica delivers pizza. She takes a simple random sample of 100 of her deliveries from the first 11 months of 2020 and finds that her tips average $3.66 with an SD of $2.19.The 90% confidence interval for Monica’s average tip size for these months has the form A + - B * C .
if the histogram of monica's tips does not follow the normal curve, is the confidence interval still valid?
6am air traffic controller i tracking two plane to tart plane A wa at an altitude of 1500 meter and plane B wa at an altitude of 1115 meter plane A i going altitude at 19 meter per econd and plan B wa gaining altitude at 26 meter per econd let x be the number of econd that have pae
At 55 seconds , both the plane A and plane B will have same altitude.
According to the question,
The altitude of plane A = 1500m
The altitude of plane B = 1115m
Altitude plane A gained = 19m/s
Altitude plane B gained = 26m/s
Let "x" be the number of second
Let the equation of plan A and plane B is
a(x) = m₁ x + 1500
b(x) = m₂ x + 1115
We know how fast they are gaining altitude. The are the m values
m₁ = 19
m₂ = 26
So, now we have
a(x) = 19 x + 1500
b(x) = 26 x + 1115
So , to have same altitude ,
a(x) = b(x)
=> 19 x + 1500 = 26 x + 1115
Solving for x,
=> 26x-19x = 1500 - 1115
=> 17x = 385
=> x = 55 seconds
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An art museum gift shop sells prints of a famous painting. The original
painting is 120 cm wide and 85 cm tall. If the print is 50 cm wide, how tall
is the print?
SOLUTION
The print is 35.41 cm tall.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
The original painting is 120 cm wide and 85 cm tall.
and, the print is 50 cm wide.
let the print is x cm tall
So, x/ 50 = 85 / 120
120x = 4250
x= 35.41 cm
Hence, the print is 35.41 cm tall.
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PLEASE HELP ME ASAP!!!!
Answer:
The answer to this equation is x=-1
Answer:
x = -1
Step-by-step explanation:
[tex]2^{3x + 1}=\frac{1}{4}[/tex]
[tex]2^{3x+1} = \frac{1}{2^{2} }[/tex]
[tex]2^{3x+1} =2^{-2}[/tex]
[tex]3x+1 = -2\\3x = -2 -1\\3x = -3\\x =\frac{-3}{3} \\x = -1[/tex]
What expreion repreent the um of 2 divided by x and 15
215÷x215÷x
(215)÷x(215)÷x
152÷x152÷x
(152)÷x
The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".
What is expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.
Here,
2 divided by x,
=2/x
sum of 2/x and 15,
2/x+15
The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."
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Students are making lemonade from a powdered lemon drink mix. Ariana
mixes 3 cups of water and 17 cups of powdered lemon mix. Andres mixes 1
cup of water and 10 cups of powdered lemon mix. Use Ariana and Andres's
percent of pewdered lemon mix to determine whose mix will be more lemony.
Ariana percent of powdered lemon mix (to nearest whole number) =
Andres percent of powdered lemon mix (to nearest whole number) =
Answer: Ariana uses 85% drink mix, and Andres uses 90% drink mix. Therefore, Andres's drink will taste more lemony.
Step-by-step explanation:
Ariana uses 17 cups of mix out of the 20 total cups which is 85%
Andres uses 10 cups of mix out of the 11 total cups which is around 90%
Answer:
Ariana percent: 85Andres percent: 91Step-by-step explanation:
You want the percent of powdered lemon mix in two recipes:
Ariana: 3 c water, 17 c lemon mixAndres: 1 c water, 20 c lemon mixPercentThe desired percent can be found from ...
(lemon mix)/(water + lemon mix) × 100%
For Ariana, this is ...
17/(3 +17) × 100% = 17/20 × 100% = 85%
For Andres, this is ...
10/(1 +10) × 100% = 10/11 × 100% ≈ 91%
__
Additional comment
There aren't many powders that will dissolve 10 cups of powder in 1 cup of water. Even if there were, the resulting combination would not have a volume of 11 cups. This might be a mildly interesting math problem, but it has little relevance to any real-world lemonade recipe.
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Which is a solution of the inequality 7 ≤ −2x + 3 ?
A.) 1
B.) 2
C.) −2
D.) −1
Answer: x ≤ -2
Option C is correct
Answer:
x ≤ -2 then it is C) -2
Step-by-step explanation:
7 ≤ −2x + 3
2x+7 ≤ + 3
2x ≤ 3-7
2x ≤ -4
x ≤ -4/2
x ≤ -2
Please help with these two questions!
The inverse of the function g(x) = ∛(2x + 4) is equal to: D. g(x)⁻¹ = 1/2(x³) - 2.
The domain of the function shown in the graph is: B. [-2, 1].
What is an inverse function?In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).
In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows:
g(x) = ∛(2x + 4)
x = ∛(2y + 4)
Next, we would take the cube root of both sides of the function;
x³ = 2y + 4
2y = x³ - 4
y = (x³ - 4)/2
y = x³/2 - 2
g(x)⁻¹ = 1/2(x³) - 2
How to identify the domain any graph?In Mathematics, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right as follows;
Domain = [-2, 1].
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For every 8 package Chelea wrap he ue 1/2 of a roll of wrapping paper. If he ue 3 1/2 roll of wrapping paper, how many package ha he wrapped
The no: of packages Chelea wrapped is 24
What is unitary method?The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
What is a unitary in math?a single state. This has an identity element in math, in an algebra. Whose inverse is equivalent to its adjoint (in mathematics, linear algebra, the mathematical study of a matrix or operator).
According to the given question
For every 8 packages the no: of roll used is 1/2
If the person used three 1/2 rolls
the no of packages he wrapped are 3*8
=24
The total no: of packages are are 24
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How do I do this (with steps is preferred):
Suppose you know that x = -2 is a zero of p(x) = 4x^3 + 10x^2 - 6x - 20. Use synthetic division to factor the polynomial and find the remaining zeros.
The remaining zero of the polynomial 4x³ + 10x² - 6x - 20 is the quotient 4x² + 2x - 10 derived using synthetic division.
How to calculate for the zero of the polynomial using the synthetic divisionThe polynomial p(x) = 4x³ + 10x² - 6x - 20 having a zero x = -2 implies that x + 2 is a factor and has another factor derived by dividing p(x) = 4x³ + 10x² - 6x - 20 by x + 2.
we shall derive the other factor using the synthetic division as follows;
divide the first term 4x³ of the polynomial by x (of x + 2) to give 4x²,
multiply x + 2 by 4x² to give 4x³ + 8x²
then subtract 4x³ + 8x² from 4x³ + 10x² - 6x - 20 to give 2x² - 6x - 20
divide 2x² (of 2x² - 6x - 20) by x (of x + 2) to give 2x
multiply x + 2 by 2x to give 2x² + 4x
then subtract 2x² + 4x from 2x² - 6x - 20 to give -10x - 20
divide 10x (of -10x - 20) by x (of x + 2) to give -10
multiply x + 2 by -10 to give -10x - 20
then subtract -10x - 20 from -10x - 20 to give a remainder of zero.
Hence, the results 4x², 2x, and -10 are the terms of the quotient 4x² + 2x - 10 and forms the remaining zeros of the polynomial p(x) = 4x³ + 10x² - 6x - 20.
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50 POINTS IF ANSWERED!!!!
Find the value of x
Answer:
The answer is 45
Step-by-step explanation:
the way to find this answer is by, first, knowing that each angle of a triangle adds up to 180. So, we must first add the 85 and 50 which will give us 135. After, you subtract it all from 180, which gives you 45.
In the triangle, the value of x is,
⇒ x = 45°
We have to given that;
In triangle;
The angles are 85 degree, 50 degree and x.
Since, We know that;
Sum of all interior angle of a triangle are 180 degree.
Hence, We get;
⇒ x + 85 + 50 = 180
⇒ x + 135 = 180
⇒ x = 180 - 135
⇒ x = 45°
Thus, the value of x is,
⇒ x = 45°
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An airplane travels 100 miles in 0.4 hour. Which speeds represents the rate of the airplane?
The speed represents the rate of the plane is 250 miles/ hour.
What is speed?
The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
An object is considered to be moving at constant speed when it travels an equal distance in an equal amount of time.
When an object travels a different distance at equal intervals of time, it is said to be moving at variable speed.
Average speed is the constant speed determined by the ratio of the total distance travelled by an object to the total amount of time it took to travel that distance.
Immediately speed is When an object is travelling at a variable pace, its speed at every given moment
Speed =distance/ time taken
= 100/0.4
= 250 miles/ hour
Hence, the speed represents the rate of the plane is 250 miles/ hour.
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Because m < n m = n am < bn am = bn this is where the function is undefined
Answer: This is where the answer is undefined
Step-by-step explanation:
Edge 2022 :)
Answer: 5th option
Step-by-step explanation:
edge 2023
Mr. Tull bought 6 videotapes and 5 audio tapes. What is the ratio of videotapes to the total number of tapes?
Answer: 6:11
Step-by-step explanation:
Find the total by 6 + 5 =11
He bought 6 videotapes so ratio is 6:11
Write the equation of the line that goes through the point (4, -7) and is perpendicular to the line
y +6=-2/5(x-1). Use the table to show your work, if needed, to determine each form, and then give each form.
Point-Slope Form
Slope-Intercept Form
Show your work.
The point-slope form with a slope of 5/2 and a point of (4,-7) is 5x-2y=34.
What is line equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10. Linear equations are classified into three types: point-slope, standard, and slope-intercept.
Here,
The slope of line perpendicular to the line y +6=-2/5(x-1)
m1=5/2
point=(4,-7)
y-y1=m(x-x1)
y+7=5/2(x-4)
2y+14=5x-20
5x-2y=34
The point-slope form for slope given as 5/2 and point as (4,-7) will be 5x-2y=34.
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A construction worker must raise to the top of a 20-foot-tall building using a computer-controlled crane. If the materials are 28 feet away from the base of the building. What slope needs to be programmed into the computer to accomplish the delivery? State your answer as a fraction in lowest terms
The slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.
What is meant by Pythagorean theorem?A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras theorem in mathematics. It is believed that the area of the square with the hypotenuse equals the sum of the areas of the squares on the other two sides.
Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated several times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.
By using Pythagorean theorem,
x²=20²+28²
x²=400+784
x²=1184
x=34.41
x=3441/100
Therefore, the slope that needs to be programmed into the computer to accomplish the delivery is x=3441/100.
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please help I have a test I need to complete and it's due tomorrow !
Answer: 4t+109.99=347.95
Step-by-step explanation:
The diagram shows a cycle track. The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm. Ian is going to ride his bike around the track once. Calculate how many complete revolutions each wheel of his bike will make
There are 135 complete revolutions each wheel of his bike will make.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The track has two straight sides each of length 40m. Each end of the track is a semicircle of radius 27m. The diameter of each wheel of Ian’s bike is 590mm.
Now,
The circumference of the wheel of Lan's bike = π × 590 mm
= 0.59 π m
And, The perimeter of the cycle track is;
⇒ 40 × 2 + 2π × 27 = 80 + 54π
So, The number of complete revolutions each wheel of his bike will make is ;
⇒ (80 + 54π) ÷ 0.59π
⇒ 135
Thus, There are 135 complete revolutions each wheel of his bike will make.
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Answer: 134
I got this question wrong in some work, the answer is 134.
Find 1 3/4 divided by 1 1/2. Write in simplest form.
Please answer quick! It's due tomorrow and I forgot how to do it, so it would be great if anybody could give me a good explanation :)
Answer: 7/6
Step-by-step explanation:
1 3/4 can be written as 7/4
1 1/2 can be written as 3/2
7/4 divided by 3/2 equal 7/4 times 2/3 = 14/12 = 7/6
Which of the following is a solution to the inequality below?
4>102/z+11
A=3 B=1 C=2 D=6
None of the option are correct for the solution to inequality.
Explain the term solution to inequality?Finding a range, and ranges within ranges, of values which an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.A number is solution to an inequality of x if it can be used to replace x with a statement that is true.For the given inequality:
4 > 102/z + 11
Subtract both side by 11
4 - 11 > 102/z + 11 - 11
-7 > 102/z
Divide both sides by 102
-7/102 > 1/z
Taking reciprocal of each;
z < -102/7
z < -14.5
Thus, none of the option are correct for the solution to the inequality.
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Luis solves the following system of equations by elimination. {5s+3t=30 2s+3t=-3
The Elimination equations: 3s = 33, s = 11.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
5s+3t=30
-1(2s+3t=-3)
which will eventually
5s+3t=30
-2s-3t=3
which then becomes
3s = 33, s=11
Hence, The Elimination equations: 3s = 33, s = 11.
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Uma fábrica de peças automotivas produz dois tipos de peça: A e B. Sabe-se que o custo
unitário de produção da peça A é de R$ 180. Já, para a peça B, o custo direto é de R$ 290 a unidade
produzida. Estes custos referem-se à matéria-prima, mão de obra empregada etc. Aos custos diretos,
somam-se os custos fixos semanais, que incluem energia elétrica, aluguel de espaços de produção
etc, que equivalem a R$ 15.000,00. A partir disso, responda o que se pede:
what does x equal? ???
Answer: 6.1
Step-by-step explanation:
The sine rule states that the length of one side of a triangle divided by the sine of the angle opposing the side will be equal to the length of the other side divided by the sine of its opposing angle and the same for the last side.
This means [tex]\frac{14}{sin (90)}[/tex] = [tex]\frac{x}{sin(180-90-64)}[/tex]
14 = [tex]\frac{x}{sin(26)}[/tex]
x = 14sin(26) ≈ 6.1
8. Model Real Life A window cleaner has cleaned 467 windows
of a skyscraper. He cleans some more. Now there are 967 clean
windows. Each floor of the skyscraper has 100 windows. How
many floors of windows does the window cleaner clean?
The number of floors of windows that the window cleaner cleans will be 10.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A window cleaner has cleaned 467 windows of a high rise. He cleans some more. Presently there are 967 clean windows. Each floor of the high rise has 100 windows.
The number of floors of windows that the window cleaner cleans will be given as,
⇒ 967 / 100
⇒ 9.67
⇒ 10 floors
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There are 6 cans of juice of the same weight and a box. If the 6 cans
are put in the box, the total weight of the cans and the box is 1620 g.
If only 2 cans are put in the box, the total weight is 660g. How many
grams does this box weigh?
Carol has 123 pounds of beans. She fills jars by putting 23 pound of the beans into each jar. What number of jars can be filled with the beans?
119
2
212
3
The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Song has 123 pounds of beans. She fills containers by placing 23 pounds of beans into each container.
⇒ 123 / 23
⇒ 5 ⁸/₂₃
The number of jars that are fully filled is 5 and one jar filled partially is 8 out of 23 parts.
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Please help answer this question.
Since the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
Since the angles are formed by cutting the parallel line the angle formed as,
15x-6 = 114
15x=114+6
15x=120
x=120/15
x=8
Thus. if the angles are formed by cutting the parallel line, the value of x will be 8.Option A is correct.
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Find the fourth degree polynomial function with zeros 8, -8, 8i, -8i. Write the function in factored form.
The fourth degree polynomial in factor form is p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8), whose standard form is p(x) = x⁴ - 4096.
How to derive the equation of polynomial in standard form
In this problem we must determine the equation of a polynomial such that it contains the roots 8, - 8, i 8 and - i 8. This can be done by using the definition of a polynomial in factor form:
p(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., m - 1, m}
Where:
a - Lead coefficientrₙ - n-th root of the polynomialm - Grade of the polynomial.And modify the expression by algebra properties until standard form is found. First, substitute the roots:
p(x) = (x - 8) · (x + 8) · (x - i 8) · (x + i 8)
Second, expand the expression by algebra properties:
p(x) = (x² - 64) · (x² - i² 64)
p(x) = (x² - 64) · (x² + 64)
p(x) = (x² - 64) · x² + (x² - 64) · 64
p(x) = x⁴ - 64 · x² + 64 · x² - 4096
p(x) = x⁴ - 4096
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Solve this problem
-20 < 2x6 ≤2
Answer: -20<12<=2
Step-by-step explanation:
First, you simplify the expression.
-20<2*6<=2
And then perform any multiplication or division, from left to right...
-20<2*6<=2
-20<12<=2
And there you have it!
I hope this helped!
Have a great rest of your day and Merry Christmas (and Happy New Year)!
when people measure the worth of various items in terms of money, money is performing the function of a what?
Answer: unit of account
Step-by-step explanation:
I learned this in Macro Chapter 34.