An airlines records show that its flights between two cities arrive on the average 5.4 minutes late with a standard deviation of 1.4 minutes. at least what percentage of its flights between the two cities arrive anywhere between

Answers

Answer 1
Interval between 2.6 minutes late and 8.2 minutes late is within 2 standard deviations of the mean (k =8.2â’5.4/1.4 =5.4â’2.6/1.4 = 2). By Chebyshev’s Theorem, at least 1 â’1/2^2 =3/4 of all flights, i.e. at least 75% of all flights arrive anywhere between 2.6 minutes late and 8.2 minutes late.

Related Questions

Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver them to the restaurant and 7% of the live crawfish are too small.

Answers

3.80(1 - .05)(1- .07)x
3.80(.95)(.93)x
witch equals 3.3573x
Hope this helps.
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the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.

Given that, the restaurant pays them $3.80 a pound for live crawfish that is large enough 5% of the crawfish die before they can deliver to the restaurant 7% of the live crawfish are too small.

We need to write an expression for the given situation.

What is an algebraic expression?

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let "x" be the number of crawfish they catch.

Now, the expression is

Money earned=3.80× (1-5%)× (1-7%)× x

=3.80× (1-0.05)× (1-0.07)× x

=3.80× 0.95× 0.93× x

=3.3573x

Therefore, the expression which represents how much money they make per pound of crawfish they catch is 3.3573x.

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Your question is incomplete, probably the complete question/missing part is:

Henry and Holly catch crawfish which they sell to a local Cajun restaurant. The restaurant pays them $3.80 a pound for live crawfish that are large enough. 5% of the crawfish die before they can deliver to the restaurant and 7% of the live crawfish are too small.

Identify an expression which represents how much money they make per pound of crawfish they catch.

The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 years old open (x) and their average heights in centimeters open (y).

What is the average height of a 5-year-old boy?


98.9 cm


78.7 cm


67.4 cm


62.4 cm

Answers

Since the age of the boy is represented using x,
when the boy is 5 years old, x = 5.
y = 6.3x + 67.4
= 6.3(5) + 67.4
= 98.9

Since the average height of an age group is represented using y,
when y = 98.9, the average height of a 5-year-old boy is 98.9 cm.

The answer is 98.9 cm.

The average height of a 5 year old baby can be obtained by substituting the x and y values into the regression equation ; Hence, the average height of the baby is 98.9 cm

Given the linear regression equation :

y = 6.3x + 67.4

x = age of baby = 5 ; y = height of baby

The average height of a 5 year old baby is thus :

y = 6.3(5) + 67.4

y = 31.5 + 67.4

y = 98.9

Hence, the average height a 5 year old baby will be 98.9cm

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The price of a shampoo, cut, and style at the hairstyling salon where you work is $18.00. You generally get a 20% tip from each customer, and the salon owner pays you 1/4 of each job's cost. On a typical day, you give shampoos, cuts, and styles to 8 customers. About how much can you expect to earn on such a day?

Answers

$4.5 per service x 8 = $36.00

$18.00 x 8 = $144 x 20% = $29.00

$65.00

Answer:

You can expect $65.00 to earn on such a day.

Step-by-step explanation:

The price of shampoo, cut and style  = $18.00

you generally get a tip from each customer  = 20%  of $18.00

0.20 × 18.00 =  $3.60

Salon owner pays 1/4 of each job's cost = [tex]\frac{1}{4}[/tex] of $18.00

[tex]\frac{1}{4}[/tex] × 18.00 = $4.50

Total earning from each customer = 3.60 + 4.50 = $8.10

On a typical day, you serve 8 customers,

so the earning of each day = 8.10 × 8 = $64.80 ≈ $65.00

You can expect $65.00 to earn on such a day.

The movement of the progress bar may be uneven because questions more on your answer. The price of a CD decreased from $15 to $12. What is the percent of decrease? 3% 20% 33% 75%

Answers

15 -12 = 3

3/15 = 0.2 = 20% decrease

Daniela finds the sum of two addenda. The sum is odd. Which statement is true about the addenda

Answers

write it with numbers please.

Suppose m<3 = 105. find m<6

Answers

To find the measure of angle 6, we can use the fact that angles 3 and 6 are vertical angles (opposite angles formed by the intersection of two lines). Therefore, their measures are equal.

Given that[tex]\( m\angle 3 = 105^\circ \), we have \( m\angle 6 = m\angle 3 = 105^\circ \).So, the measure of angle 6 is \( \boxed{105^\circ} \).[/tex]

The measure of angle 6 is 105 degrees. This is because angles 3 and 6 are vertical angles, meaning they are formed by intersecting lines and are opposite each other. According to the Vertical Angles Theorem, vertical angles are congruent, meaning they have the same measure. Therefore, if angle 3 measures 105 degrees, angle 6, being its vertical angle, also measures 105 degrees. This principle holds true regardless of the specific configuration of lines or shapes, as long as the angles are formed by intersecting lines. Hence, in this case, the measure of angle 6 directly corresponds to the measure of angle 3 due to their relationship as vertical angles, resulting in both having a measure of 105 degrees.

Which is 10^-5 written in standard form?

A. 0.00001
B. 0.0001
C. 10.000
D. 100.000

Answers

10^-5 = 0.00001

answer
A. 0.00001
the answer is A

negative -5 moves the decimal point to the right, making your scientific notation value smaller

What are the factors of the trinomial x^2+6x-7

Answers

x^2 + 6x - 7 =
(x + 7)(x - 1)

For what values of r does the function y = erx satisfy the differential equation y'' − 6y' + 2y = 0? (enter your answers as a comma-separated list.)

Answers

The values of [tex]r[/tex] is [tex]\boxed{r = 3 - \sqrt7 }[/tex] and [tex]\boxed{r = 3 + \sqrt 7 }.[/tex]

Further explanation:

Given:

The function is [tex]y = {e^{rx}}.[/tex]

The differential equation is [tex]y'' - 6y' + 2y = 0\,\,\,\,\,or\,\,\,\,\dfrac{{{d^2}y}}{{d{x^2}}} - 6\dfrac{{dy}}{{dx}} + 2y = 0[/tex]

Explanation:

The given function can be expressed as follows,

[tex]y = {e^{rx}}[/tex]

Differentiate the above equation with respect to [tex]x[/tex].

[tex]\begin{aligned}\frac{{dy}}{{dx}} &= \frac{d}{{dx}}\left( {{e^{rx}}} \right)\\&= {e^{rx}} \times \frac{d}{{dx}}\left( {rx} \right)\\&= {e^{rx}} \times r\\&= r{e^{rx}}\\\end{aligned}[/tex]

Again differentiate with respect to [tex]x[/tex].

[tex]\begin{aligned}\frac{{{d^2}y}}{{d{x^2}}} &= \frac{d}{{dx}}\left( {r{e^{rx}}} \right)\\&= r\frac{d}{{dx}}\left( {{e^{rx}}} \right)\\&=r\times {e^{rx}} \times\frac{d}{{dx}}\left( {rx} \right)\\&= {r^2}{e^{rx}}\\\end{aligned}[/tex]

Now solve the differential equation.

[tex]\begin{aligned}y'' - 6y' + 2y &= 0\\{r^2}{e^{rx}} - 6r{e^{rx}} + 2{e^{rx}} &= 0\\{e^{rx}}\left( {{r^2} - 6r + 2} \right) &= 0\\{r^2} - 6r + 2 &= 0\\\end{aligned}[/tex]

Solve the quadratic equation [tex]{r^2} - 6r + 2 = 0.[/tex]

[tex]\begin{aligned}D&= {b^2} - 4ac\\&={\left( { - 6} \right)^2} - 4\left( 1 \right)\left( 2 \right)\\&= 36 - 8\\&= 28\\\end{aligned}[/tex]

The value of [tex]r[/tex] can be obtained as follows,

[tex]\begin{aligned}r&= \frac{{ - b \pm \sqrt D }}{{2a}}\\r&=\frac{{ - \left( { - 6} \right) \pm \sqrt {28} }}{{2 \times 1}} \\ r &= \frac{{6 \pm 2\sqrt7 }}{2}\\r&= 3 \pm \sqrt7\\r&= 3 - \sqrt 7 \,\,\,\,\,\,\,or\,\,\,\,\,\,\,r = 3 + \sqrt7 \\\end{aligned}[/tex]

The values of [tex]r[/tex] is [tex]\boxed{r = 3 - \sqrt7 }[/tex] and [tex]\boxed{r = 3 + \sqrt 7 }.[/tex]

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Derivatives

Keywords: Derivative, value of x, function, differentiate, minimum value, dy, compute, given value of [tex]x, y=6x, x=4, x=1[/tex]

6,000 is 10 time as much as

Answers

6000/10 = 600....so 6000 is 10 times as much as 600

1/2 (3g -2) = g/2

PLEASE HELP

Answers

Multiplying both sides of this eq'n by 2 will eliminate the fractions and thus simplify the problem.  The left side becomes 3g-2 and the right side becomes g.  Thus, you have 3g-2 = g.
Subtract g from both sides:  2g-2=0.  Add 2 to both sides:  2g=2.
Divide both sides by 2:  g = 1 (answer).

The solution to the given equation (1/2)(3g - 2) = g/2 is g = 1 using the distributive property.

The equation is given as follows:

(1/2)(3g - 2) = g/2

Apply the distributive property by multiplying (1/2) to both terms inside the parentheses:

(1/2)(3g - 2) = g/2

(3g/2) - (2/2) = g/2

(3g/2) - 1 = g/2

Multiply both sides of the equation by 2 to eliminate the denominators:

2[(3g/2) - 1] = 2(g/2)

3g - 2 = g

Simplify the equation by moving all terms with g to one side and the constant terms to the other side:

3g - g = 2

2g = 2

Divide both sides of the equation by 2 to solve for g:

(2g)/2 = 2/2

g = 1

Therefore, the solution to the equation (1/2)(3g - 2) = g/2 is g = 1.

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Simplify 13 + 2 - 5 - 15

Answers

you're answer is negative 5

13 +2 = 15 -5= 10 -15 = -5

Estimate the square root to the nearest integer. Square root of 48

Answers

the square root to the nearest integer is 7 because 7 times 7 is 49
Answer~
7
Problem~
7x7=49
The nearest integer is 7

A student is trying to remember some formulas from geometry. in what follows, assume a is area, v is volume, and all other variables are lengths. determine which formulas are dimensionally consistent.

Answers

Given that A is area, V is volume, and all other variables are lengths.

To get the dimensions of a quantity, it is easier to compare the unit of the quantity and represent each value in the unit by the dimension.

The formular that is dimensionally consistent is
[tex]V= \frac{\pi d^3}{6} [/tex]

Let g(x) = 5x -2 and h(x)= x^2-16
1. (h"Composition"g) (-1)
This is the best I can do with explaining this. If anyone could please help and explain this to me, I would really appreciate it. The composition thing is just an open circle between the two..

Answers

[tex]\bf \begin{cases} g(x)=5x-2\\ h(x)=x^2-16 \end{cases}\qquad (h\circ g)(x)\implies h(~g(x)~) \\\\\\ g(\stackrel{\downarrow }{-1})=5(\stackrel{\downarrow }{-1})-2\implies g(-1)=-5-2\implies \boxed{g(-1)=-7}\\\\ -------------------------------\\\\ (h\circ g)(-1)\implies h(~g(-1)~)\implies h\left( \boxed{-7} \right) \\\\\\ h(\stackrel{\downarrow }{-7})=(\stackrel{\downarrow }{-7})^2-16\implies h(-7)=49-16\implies \stackrel{(h\circ g)(-1)}{h(-7)=33}[/tex]

The line contains the point (-7,0) and is parallel to the line defined by 4x=3y. What is the equation of the line

Answers

Parallel line have the same slope. Since the slope of the line is:

4x = 3y
4/3 = y

4/3, we need to set this up in an equation:

y = 4/3x + b

Now, lets add our point in:

y = 4/3x + b
0 = 4/3(-7) + b
0 = -28/3
28/3 = b

Now we know all our information. Form the equation:

y = 4/3x + 28/3

Hope this helped!

A turtle walks 7/8 mile in 50 minutes. What is the unit rate in miles per hour? (Hint: 50 minutes=5/6 of an hour.)

Answers

50 minutes = 7/8 mile = 0.875 miles

60 minutes = 60/50 X 0.875 = 1.05 mph

Divide 300 in a ratio of 3:7

Answers

now, if we divide 300 by (3+7), we get 10 equal pieces, then we give 3 of those pieces to one side, and 7 of those pieces to the other side.

[tex]\bf \textit{300 at 3:7 ratio}\qquad \cfrac{3\left( \frac{300}{3+7} \right)}{7\left( \frac{300}{3+7} \right)}\implies \cfrac{3\left( \frac{300}{10} \right)}{7\left( \frac{300}{10} \right)}\implies \cfrac{3(30)}{7(30)}\implies \cfrac{90}{210}[/tex]

and of course, 90 + 210 = 300.
Final answer:

To divide 300 by a ratio of 3:7, calculate the value of each part by dividing 300 by the sum of the ratio parts (10) and then multiply by each part of the ratio to get 90 and 210, respectively.

Explanation:

To divide 300 in a ratio of 3:7, first add the parts of the ratio together to determine how many parts you will split 300 into.

In this case, 3 + 7 equals 10 parts.

Then, you divide 300 by 10 to find out how much one part is worth.

This gives 300 ÷ 10 = 30. Now, to find the amounts corresponding to the ratio, multiply the single part value by the numbers in the ratio. For the first part (ratio 3), multiply 30 by 3 to get 90.

For the second part (ratio 7), multiply 30 by 7 to get 210.

So, 300 divided in a ratio of 3:7 gives us 90 and 210, respectively.

"if n balls are distributed randomly into k urns, what is the probability that the last urn contains j balls?"

Answers

The answer relies on whether the balls are different or not. If they are not, which is almost certainly what is intended.


If they are, the perceptive is a bit different. Your expression gives the likelihood that a particular set of j balls goes into the last urn and the other n−j balls into the other urns. But there are (nj) different possible sets of j balls, and each of them the same probability of being the last insides of the last urn, so the total probability of completing up with exactly j balls in the last urn is if the balls are different.


See attached file for the answer.

Final answer:

To calculate the probability that the last urn contains j balls when n balls are distributed randomly into k urns, consider the number of ways to distribute the balls among the k-1 urns and multiply it by the probability of the last urn containing j balls.

Explanation:

To calculate the probability that the last urn contains j balls, we need to consider the number of ways to distribute the n balls among the k-1 urns (excluding the last urn) and multiply it by the probability of the last urn containing j balls.

Let's assume that the number of ways to distribute the n balls among the k-1 urns is denoted by C. The probability of the last urn containing j balls is then given by P(j) = C * (1/k).

For example, if there are 10 balls distributed randomly into 4 urns and we want to find the probability that the last urn contains 3 balls, we need to calculate the number of ways to distribute the 10 balls among the first three urns (C) and multiply it by the probability of the last urn containing 3 balls (1/4).

During track practice, Carter walks for 200 m each time after he jogs for 800 m. If he jogged for 7,200 m during today's practice, how many meters did he walk?

Answers

7200 / 800 = 9

9*200 = 1800

he walked 1800 m

the answer should be 1800m

Which sign makes this number sentence true? |78| __ |-222|

Answers

The absolute value of 78 is < the absolute value of -222
The absolute value of |78|=78
The absolute value of |-222|=222
Therefore, 78<222.
The sign that makes this sentence true is <.


A​ 1-ounce serving of cream cheese contains 7.8

grams of saturated fat. How much saturated fat is in 12

ounces of cream​ cheese?

Answers

Sent a picture of the solution to the problem (s). Proportions are a quick set up to find a part of two things being compared. You will use this method a lot in math and science.
Final answer:

To find the total grams of saturated fat in 12 ounces of cream cheese, multiply the grams per ounce (7.8) by the total ounces (12), which equals 93.6 grams.

Explanation:

To answer this question, we need to multiply the amount of saturated fat in one ounce of cream cheese by the total number of ounces you have. Since one ounce of cream cheese contains 7.8 grams of saturated fat, you would multiply 7.8 by 12 (the total number of ounces) to get the total amount of saturated fat.

7.8 grams of saturated fat per ounce × 12 ounces = 93.6 grams

So, 12 ounces of cream cheese contains 93.6 grams of saturated fat.

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How do I find slope?

Answers

To find the slope in the graph you need to find two perfect points on the line then count how many times you went up which is the y over how many times you go right which is the x its called the rise/run. To find the slope in the equation use the formula y2-y1/x2-x1.
The equation of any Straight line called a linear equation can be written as y=Mx+b where m is the slope is the slope of the line and b is the y-intercept

Through any three noncollinear points, there is exactly one plane containing them. Points W, X, and Y are noncollinear.

Answers

Correct!

When thinking of what determines a plane we can make the following comparison.

If a plane was the top part of a table, 3 legs, whose tops are points W, X and Y may hold it, as shown in the first picture.

but if the legs are in a line, as in the second figure, they may not hold the top part, so 3 collinear points cannot determine a plane. 

Answer:

There is exactly one plane containing points W, X, and Y

Step-by-step explanation:

theses two questions are together

Answers

8 x 3 = 24

(x - 24) + 6 = change of water level

We cannot solve for the top question, because we need to know either the water level before the 8 days or the water level it had right when the problem was created (which is after the rain)

hope this helps
8(-3) + 6

8 x -3 is -24
-24 + 6 = -18 inches

the second angel im a triangle is 2° less the 3 times the first angle the third Angle is 14° more than twice the first angle find the measure of all three angles I'm the triangle (plz show step by step)

Answers

let's say the angles are "a", "b" and "c"

[tex]\bf \begin{cases} \stackrel{first}{a}\\ \stackrel{second}{b}=\stackrel{\textit{2 less than 3 times \underline{a}}}{3a-2}\\ \stackrel{third}{c}=\stackrel{\textit{14 more than twice \underline{a}}}{2a+14} \end{cases} \\\\\\ \textit{now, the sum of all internal angles in a triangle is }180^o \\\\\\ a+b+c=\implies a+(3a-2)+(2a+14)=180 \\\\\\ 6a+12=180\implies 6a=180-12\implies 6a=168\implies a=\cfrac{168}{6} \\\\\\ a=28[/tex]


so a = 28°, plug that in "b" and "c", to see how much each is.

Find the coordinates of point p which divides the line segment from A=(0,4)to B=(6,8)in a ratio of 1:2

Answers

check the picture below.

[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(0,4)\qquad B(6,8)\qquad \qquad 1:2\quad \textit{ from A to B} \\\\\\ \cfrac{AP}{PB} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(0,4)=1(6,8) \\\\ -------------------------------\\\\ { P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------[/tex]

[tex]\bf P=\left(\cfrac{(2\cdot 0)+(1\cdot 6)}{1+2}\quad ,\quad \cfrac{(2\cdot 4)+(1\cdot 8)}{1+2}\right) \\\\\\ P=\left( \cfrac{0+6}{3}~,~\cfrac{8+8}{3} \right)[/tex]

Curly used a shovel to dig his own swimming pool. He figured he needed a pool because digging it was hard work, and he could use it to cool off after working on it all day. He also planned to build a rectangular concrete deck around the pool that would be 6 feet wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the area of the deck?

Answers

check the picture below.

The area of the deck that is built around the pool is 1352 ft².

What is the area of the deck?

A rectangle is a 2-dimensional quadrilateral with four right angles.  

Area of a rectangle = length x width

Length = 14 + 6 + 6 = 26 Width = 40 + 6 + 6 = 52

Area = 26 x 52 = 1352 ft²

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The distance between the two islands shown on the map is 210 miles. A ruler measures the distance on the map is three 1/2 inches how many miles would be represented by one 3/4 inches on the map?

Answers

210 miles equals 1 and 1/2 inches (3 1/2"s or 0.5"). 1 and 1/2" is equal to two 3/4" (3/4 + 3/4 = 1 and 1/2). 1.5" is equal to 210 miles, and 1.5" is equal to 2 * .75", you can divide 210 miles by two, which gives you 105 miles.

What is the lateral area of a pyramid with base edges 5 ft and surface area 55 ft2?

Answers

The answer is  30 ft²

The surface area (SA) of a pyramid is the sum of lateral area (LA) of the pyramid and the area of its base (BA):
SA = LA + BA

The area of the pyramid base (which is a square) with base edge a is:
BA = a²

We have:
SA = 55 ft²
LA = ?
a = 5 ft

LA = SA - BA = SA - a²
LA = 55 - 5²
LA = 55 - 25
LA = 30 ft²
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