An airline has two flights each day from City A to City B. A random sample of 10 morning flights left the gate an average of 15 minutes late with a standard deviation of 5 minutes. A random sample of 10 evening flights left the gate an average of 20 minutes late with a standard deviation of 3 minutes. Suppose both the morning and evening flights are 30 minutes late. To determine which flight is more late than usual, first find the z-scores. Round to one decimal place if necessary.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let X denote the random variable that obeys the normal distribution.

Given that:

For morning flights

Mean [tex]\mu_1[/tex] = 15

standard deviation [tex]\sigma_1[/tex] = 5

Sample size [tex]n_1[/tex] = 10

[tex]X_1 \sim Normal ( \mu_1, \sigma _1)[/tex]

The Z - score is calculated as:

[tex]Z = \dfrac{x_1 - \mu_1}{\sigma_1}[/tex]

[tex]Z = \dfrac{30 -15}{5}[/tex]

[tex]Z = \dfrac{15}{5}[/tex]

Z = 3

For evening flights

Mean [tex]\mu_2[/tex] = 20

standard deviation [tex]\sigma_2[/tex] = 3

Sample size [tex]n_2[/tex] = 10

[tex]X_2 \sim Normal ( \mu_2, \sigma _2)[/tex]

[tex]Z = \dfrac{x_2 - \mu_2}{\sigma_2}[/tex]

[tex]Z = \dfrac{30 -20}{3}[/tex]

[tex]Z = \dfrac{10}{3}[/tex]

Z = 3.33

Hence, from the above z-scores, we will realize that the evening flight is more late than usual.


Related Questions

For what value of x does 3^2x-9^3x-4

Answers

Answer:

jdjndbncjjsnnxjjxjnxjnsnnx.

Find the slope of the line that passes through (2, 13) and (6, 10).

Answers

-3/4 I think because rise/run

the picture contain  the answeres  

will give brainliest
I don't understand algebra 2!!! at all idk why

break it down please help ​

Answers

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four​ corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed​?

Answers

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)

Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.

Answers

Answer:

B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

Step-by-step explanation:

Got it right on the quiz

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

How to design the simulation?

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)

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If 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?

Answers

Answer:

17

Step-by-step explanation:

PLS GIVE BRAINLIEST

Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.

A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4 x 103 milliliters of sugar water.

Answers

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

Help please...........bad

Answers

Answer: 0,5, and -4 is the zeros

Step-by-step explanation:

What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?

Answers

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8

Answers

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

How to find the sum of the rational expression?

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

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64°
70°
to
Find the value of x.

Answers

x=134°

Step-by-step explanation:

180-(64+70)=46

x=180-46

x=134°

Answer:

134*

Step-by-step explanation:

64 + 70 should equal x but to make sure:

180-64-70= 46 then 180 - 46= 134 so yes

Help me please
Make x the subject of the formula
X – 7r = bc

Answers

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Add 7r to both sides:                    x = bc + 7r

Use the lesser than sign in the greater than sign to fill in the middle blanks , between the two numbers given? < , >

Answers

Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.


In a school, the number of boys is 9 more than thrice the
number of girls. If the total roll of class is 60. What is the
total roll of girls.​

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Let the number of girls = [tex] x [/tex]

Then, According to the question,

number of the boys = [tex] 9 + 3x [/tex]

Total students in class = 60, so

[tex]9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75[/tex]

On rounding off

Then, number of girls = 13

Let the number of girls = x

Then, According to the question,

number of the boys = 9 + 3x9+3x

Total students in class = 60, so

\begin{gathered}9 + 3x + x = 60 \\ = > 9 + 4x = 60 \\ = > 4x = 60 - 9 \\ = > 4x = 51 \\ = > x = 51 \div 4 \\ = > x = 12.75\end{gathered}9+3x+x=60=>9+4x=60=>4x=60−9=>4x=51=>x=51÷4=>x=12.75

On rounding off

Then, number of girls = 13

PLEASE HELP! I'M STUCK! ps I only have on shot please only answer if u know the correct answer

Answers

Answer:

1/9

Step-by-step explanation:

Plug in the values of a, b, and c

1^3+3^2+5/1+3^2+5^3

1+9+5/1+9+125

15/135

simplify

1/9

Answer:

1/9

Step-by-step explanation:

i already answered this in a different thread. here it is again. Also congrats on being on the top five brainliest users of the day! (today is 11/30/2020)

Evaluate 1/6t+1/12 when t=1/2

Answers

Answer:

1/6

Step-by-step explanation:

You're welcome :)

I really need help
Solve for x

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

1. Both are corresponding angles, hence they both are equal, so,

[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]

Ans. A) 6

If it helps you, please don't forget to follow me.

✌✌✌

If correct will mark brainliest !!!!!

Answers

Answer:

equilateral triangle, isosceles triangle, scalene triangle

(Left to Right)

Step-by-step explanation:

Answer:

1-equilateral triangle 2- isosceles triangle 3- scalene triangle

Step-by-step explanation:

7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?

Answers

Answer:

  19 chairs

Step-by-step explanation:

you can make two equations

1. y = 8x + 11

2. y = 6x + 13

Y is the number of total chairs and x is the length

so 8x + 11 = 6x + 13

2x = 2

x = 1

so the length is one

To find the total number of chairs just plug in one as x

y = 8 + 11

y = 6 + 13

y = 19

so 19 chairs is the number of chairs Liam has.

What does x equal In this question?

Answers

Answer:

60

Step-by-step explanation:

A triangle is 180 degrees, add 87 and 33 and get 120. Subtract 120 from 180 and get 60 ;)

Answer:

In this equation x = 60

Step-by-step explanation:

I just added 33 and 87 and got 120.

A triangle has 180 degrees so i did 180 - 120 and got 60

Then i checked my work by adding 60 + 33 + 87 and got 180 \

That shows 60 is right

pls mark brainliest

At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?

Answers

Answer:

98

Step-by-step explanation:

49 + 49 = 98


Solve d = c/pi solve for pi

Answers

πd = c/π

Cross multiply

π²d = c

Divide both side by d

π²d/d = c/d

π² = c/d

Take the square root of both side

Result: π = √(c/d)

The value of pi = c/d

Since d = c/pi

To solve this question, we have to make pi the subject of the formula

d = c/pi

Cross multiply

(d × pi) = c

dpi = c

Divide both side by d

dpi/d = c/d

pi = c/d

In conclusion, pi = c/d

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Problema 1: Para llegar a su colegio, Sergio Alejandro debe dar 560 pasos. ¿Cuántos minutos demorará en llegar, si da un par de pasos en la cuarta parte de medio minuto?

Answers

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

The sum of two numbers is 67 and the difference is 13 . What are the numbers? PLEASE HELP IM NEW TO THIS AND WANT MY GRADES TO COME UP!!!!!!!!

Answers

Answer:

The two numbers are 40, and 27.

Explanation:

Since there are only two numbers, with two different aspects, you can just make

a system, and solve.

A sum of two numbers adding up to 67 can be modeled by: x + y = 67.

A difference of those same two numbers being 13 can be modeled by: x – y = 13.

You can add the two equations together to eliminate the y value because the -y and y will cancel out:

x + y = 67.

+ x – y = 13.

And you get: 2x = 80.

Now to find x, just divide by 2 on both sides to cancel out the coefficient of 2 in 2x:

2x = 80

÷2 ÷2

x = 40.

So the first number is 40.

Since we know the first number, we can immediately find the other number by substituting it into the first equation.

x = 40 → x + y = 67

(40) + y = 67

-40. -40

Subtract from both sides to cancel the constant terms.

Then you will get that y or the second number is y = 27.

This is true because 40 + 27 = 67, and 40 - 27 = 13.

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked How much farther did Molly walk than her brother and sister combined? 0.85 miles

Answers

Answer:

1.4

Step-by-step explanation:

What is the solution to this equation
-4x + 2 = 26

Answers

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

in 1989 a postage stamp cost $.25. In 1999 a postage stamp cost $.33. Find the average rate of
change in postage in cents per year.
HELP ASAP

Answers

Answer:

0.33-0.25= 0.08

then 1999-1989= 10

lastly 0.008

Step-by-step explanation: so the  average rate of

change in postage in cents per year. is 0.8 of a cent. or 0.008 of a dollar.

I’m pretty sure it is 80 cents, because it changed by 8 cents in 10 years so you’re supposed to divide 8 by 10 and get .8 which is equivalent to 80 cents

can some one tell me the answer ​

Answers

I am pretty sure it is the last one because the question wants a counter example.

HELPPPPPPP PLEASEEE WILL GIVE BRAINLY TO BEST ANSWERRRR andd please explain it like show your work

Answers

Answer: the second column is 12,  then 15, then 6

Step-by-step explanation:

that is some good chocolate milk

A mountain climber begins climbing from a camp 2000 feet
above sea level. She climbs 150 feet higher every hour.
How many hours would she take to climb to 3650 feet,
above sea level?

Answers

The answer is 11 hours
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