(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 56 hours per month. This mean was based on actual flying times for a sample of 51 pilots and the sample standard deviation was 9.5 hours.2. Calculate a 90% confidence interval estimate of the population mean flying time for the pilots. Round your result to 4 decimal places.( , )3.Using the information given, what is the smallest sample size necessary to estimate the mean flying time with a margin of error of 1.25 hour and 90% confidence

Answers

Answer 1

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156


Related Questions

Solve for s: -2s < 6
AS3
Se
C) s >=-3
D) S-3

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

-2s < 6  equation

step 2

-2s < 6  divide the sides by 2

-2s/-2<6/-2

answer

s>-3


Austin answered 47 out of 50 questions correct on a test. What percentage grade did Austin receive on his test?

Answers

47/50 * 2/2 = 94/100
0.94 * 100
Solution: 94 percent

Helppppppp:)!!!!!!!

:)))))))))

Answers

Answer:

-5a

Step-by-step explanation:

-21 + 16 = 16-21 16-21= -5 Therefore, a=-5

Give Brainliest if I helped Please!

Please answer this thanks

Answers

Answer:

It's C! 75%

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

Just form the simple equation of 14/8=x/100

cross mulitply: 8x=1400

=> x=175

175-100(super important step)=75

75%

:) Tada your answer. Have a nice day

Could someone help me with these problems ?

Answers

Answer:

Step-by-step explanation:

1. is 10

4. is 6

6. is $3.19

7. is $6

7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)


8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.

Answers

Answer:

8. Arithmetic Progression

9. [tex]f(9) = 300[/tex]

Step-by-step explanation:

Given

[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]

This gives:

[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]

[tex]d = -10 = -10 = -10[/tex]

[tex]d=-10[/tex]

Because the common difference is equal, then it is an arithmetic progression

Solving (8):

[tex]f(n) = f(1) + f(n-1)[/tex]

To find f(9), we substitute 9 for n

[tex]f(9) = f(1) + f(9-1)[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

We need to solve for f(8); substitute 8 for n

[tex]f(8) = f(1) + f(8 - 1)[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

We need to solve for f(7); substitute 7 for n

[tex]f(7) = f(1) + f(7 - 1)[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

We need to solve for f(6); substitute 6 for n

[tex]f(6) = f(1) + f(6 - 1)[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

We need to solve for f(5); substitute 6 for n

[tex]f(5) = f(1) + f(5 - 1)[/tex]

[tex]f(5) = f(1) + f(4)[/tex]

From the function, f(4) = 25 and f(1) = 55.

So:

[tex]f(5)=55 + 25[/tex]

[tex]f(5)=80[/tex]

[tex]f(6) = f(1) + f(5)[/tex]

[tex]f(6) = 55 + 80[/tex]

[tex]f(6) = 135[/tex]

[tex]f(7) = f(1) + f(6)[/tex]

[tex]f(7) = 55 + 135[/tex]

[tex]f(7) = 190[/tex]

[tex]f(8) = f(1) + f(7)[/tex]

[tex]f(8) = 55 + 190[/tex]

[tex]f(8) = 245[/tex]

[tex]f(9) = f(1) + f(8)[/tex]

[tex]f(9) = 55 + 245[/tex]

[tex]f(9) = 300[/tex]

Which of the following is the correct answer after multiplying both sides of the inequality -x > -3 by -1?


x 3


x > -3


x < -3

Answers

Answer:

x < 3

Step-by-step explanation:

When you multipy an inequality by a negative, remember to switch the inequality sign!

-x > -3

(-x)(-1) > (-3)(-1)

x < 3

please give thanks and hit the heart button :)

Step-by-step explanation:

x<3

ph0t0math/máthwáy

PLEASE HELP!!!! ITS DUE TODAY!!! WILL GIVE BRAINLIEST!!

Answers

Answer:

ITS B

Step-by-step explabnation:

KEY WORD "PER" SO 20 ASSOCIATES WITH MULTIPLICATION

WILL MARK BRAINLIEST

Answers

Answer:

48 in²

Step-by-step explanation:

if it's a right triangle you can multiply your sides like uts a rectangle and then divide it by 2. look at the triangle like its half a rectangle

48 square inches!

The formula for a triangle is A=1/2bh. The base is 24 inches, the hight is 4. 24•4=96. 96/2=48.

Hope this helped! Stay safe :D

The Student Council sold the following items at the home football game. A B C D E F 1 Item Number Price Income Cost Per Sold Item 2 lollipops 85 $0.25 $21.25 $0.12 3 Gummies 48 $0.35 $16.80 $0.18 4 Bubble Gum 79 $0.45 $35.55 $0.22 5 Combos 46 $0.55 $25.30 $0.26 $ $ $ 16! DHE $ 6. TOTAL $50.72

If n stands for number sold and c stands for cost per item, in which column would you use the formula: n x c?

A; Column D
B: Column E
C: Column F
D: Column G​

Answers

Answer: D: Column G​

Step-by-step explanation:

If n is the number of items sold and c is the cost per item, multiplying n and c would give the total expenses for selling that item.

As expenses are in column G, this is therefore the right column to use n * c.

This is can be proven by using the Lollipops as an example.

n = 85

c = $0.12

n * c = 85 * 0.12 = $10.20

$10.20 is the amount of expenses for lollipops in Column G so Column G must be right.

West Junior High needs to buy new fencing to go around Evaluate the formula for the perimeter of a rectangle to
its swimming pool. Determine the amount of fencing it will solve the problem. Then check all that apply.
need by finding the perimeter of the pool.
First, write the formula for the perimeter of a
Pool Perimeter
rectangle: P = 21 +2w.
P=21 +2w
Next, use parentheses when you substitute 50 for 1
and 25 for w.
1 = 50 meters
After multiplying, add 100 and 50.
The school needs 5,000 meters of fencing.
w = 25
The school needs 150 meters of fencing.
meters

Answers

Answer:

1,2,3, and 5 :]

Step-by-step explanation:

Answer:

1

2

3

5

are the answers edg 2021 hope you have a good day/night

Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h

Answers

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

1. gh

The two numbers are being multiplied

Putting the values

[tex]gh = (-7)(3) = -21[/tex]

2. g^2-h

Putting the values

[tex]=(-7)^2-3\\=49-3\\=46[/tex]

3. g+h^2

Putting the values

[tex]= -7 + (3)^2\\=-7+9\\=2[/tex]

4. g+h

Putting the values

[tex]= -7+3\\=-4[/tex]

5. h-g

Putting the values

[tex]= 3 - (-7)\\=3+7\\=10[/tex]

6. g-h

Putting values

[tex]=-7-3\\=-10[/tex]

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Answer:

1) - 21

2) 46

3) 2

4) -4

5) 10

6) -10

Step-by-step explanation:

g = -7h = 3

[tex]1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21[/tex]

[tex]2){g}^{2} - h = ( - 7 {)}^{2} - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46[/tex]

[tex]3)g + {h}^{2} = - 7 + {3}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2[/tex]

[tex]4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4[/tex]

[tex]5)h - g = 3 - ( - 7) \\ \: \: = 10[/tex]

[tex]6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10[/tex]

Suppose a triangle has sides 1,1, and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
O B. The triangle in question is not a right triangle.
C. The triangle in question may or may not be a right triangle.
SUBMIT

Answers

Answer:

B.it is an equilateral triangle not a right triangle

I need help please I have to finish this

Answers

Answer:

Perimeter: 53cm Area: 90cm²

Step-by-step explanation:

For the perimeter, we just add all of the sides of triangle ABC. We have two of them, but we need the length of BC. Using Pythagorean Therom on triangle BCD, we get this length to be 13. So, 13+25+15= 53 cm.

For the area, we can take the area of the big triangle ADB and subtract the area of triagle BCD so that we are left with the area for triangle ABC. Using Area= .5 x base x height, we get that the area of the large triangle is 120cm² and the area of the small triangle is 30 cm², leaving the area of ABC to be 90 cm².

(Note: the formula for area of the triangle only works on triangles with a right angle or triangles were the height and base are perpendicula, so simply doing .5 x 15 x 12 will not work. However, .5 x 15 x 12 does work because it is perpendicular.)

IDK- PLS HELP ME plss

Answers

Answer:

C and D

Step-by-step explanation:

all you do is multiply :)

Write [ (-4)×(-5)]^5 as a product of powers.
A.(-4)^5+(-5)^5=
b. 4^5×5=
c. (-4)^5×(-5)^5=
d.5(-4)+5(-5)=​

Answers

Answer:

c

Step-by-step explanation:

I took the test and got a 4/5

Answer:

(-4)^5x(-5)^5=

Step-by-step explanation:

Amy walks 2 miles 60° north of east from her house as represented in the vector diagram.

On a coordinate plane, a vector has angle 60 degrees and length 2 miles.

If Amy’s house is represented as the coordinate (0, 0), what is the component form of the vector representing Amy’s destination rounded to the nearest hundredth?

⟨0.50, 0.87⟩
⟨0.87, 0.50⟩
⟨1.00, 1.73⟩
⟨1.73, 1.00⟩

Answers

Answer:

C

Step-by-step explanation:

edge 2021

The required coordinates of Amy's position are (1.00, 1.73).

Amys walk 2 miles 60° northeast from her house. Vector coordinates to be determined.

What is coordinate?

Coordinate is defined as the abscissa and ordinate of the x-axis and y-axis respectively.

Amy walk 2 miles on 60° northeast, from origin.

x coordinate = 2cos60
                      = 2 * 1/2
                      =  1
y coordinate = 2sin60
                     = 2*√3/2
                     =   1.73

Thus, the required coordinates of Amy's position are (1.00, 1.73).

Learn more about coordinate here:
https://brainly.com/question/7869125

#SPJ2

pls help due soon! lol

Answers

Answer:

If there's a point after 2: 13.2

If there's no a point after 2: 1320

Step-by-step explanation:

A= 6[tex]s^{2}[/tex]

Two numbers/variables touching like this means to multiply!

s=2.20

6x2.20= 13.2

-------------------------------------------------------------------------------------

If there is no point, same process, not same answer.

s=220

6x220= 1320

I hope this helped you! If you are still confused, comment so I could give you more info. :D

Sue can read 2 books in 2.5 hours while John reads 3 books in 5 hours. Compare the rates at which each child reads. Who can read faster? How do you know?

Answers

The answer I sue also plz give brainliest answer

please help 8th grade math

Answers

Answer:

I'm in the 8th grade and I could probably help you out

Step-by-step explanation:

What is the slope of the ling in the graph?

Answers

The slope is equal to one

Answer:

1

Step-by-step explanation:

Start at any point on the line. Go up 1 and right 1. Now you are on another point on the graph. That is rise = 1 and run = 1.

Slope = rise/run = 1/1 = 1

Answer: 1

Complete the following statement. Write your answer as a decimal or whole number.
____% of $80 = $4

Answers

Wait i think we’re doing the same thing-

5% of $80 is $4.

What is percentage?

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, ____% of $80 = $4

Let x be the percent,

x% of 80 = 4

x = 4*100/80 = 5

Hence, 5% of $80 is $4.

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ5

TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW

Answers

I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one

g
What was Ashley's error?
O Ashley should have subtracted 17 to both sides.
Ashley should Inve added 4.5 to both sides.
O Ashley should Jadded 17 to both sides.
O Ashley's work does not have an error.



The answer is B

Answers

Answer:

b

Step-by-step explanation:

Congruent triangle proofs

Answers

Answer:

SSS (Side Side Side)

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

SAS (Side-Angle-Side)

A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.

please look at photo and answer which one

Answers

Answer:

B

Step-by-step explanation:

Write an integer for loss of 18 pounds
PLEASE HELP

Answers

So a loss is negative it will be -18 on the number line.

UwU hope this helps

find the inverse with respect to addition of -6​

Answers

Given:

The number is -6.

To find:

The inverse with respect to addition of the given number.

Solution:

We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.

We know that, the sum of a number and its additive inverse is 0.

Let the additive inverse of -6 be x. Then,

[tex]-6+x=0[/tex]

Adding 6 on both sides, we get

[tex]-6+x+6=0+6[/tex]

[tex]x=6[/tex]

Therefore, the inverse with respect to addition of -6 is 6.

What is the y-intercept of the following equation? y= 2x - 3​

Answers

answer:
-3



ddidoylekkyhhdyywktqs

Answer:

-3

Step-by-step explanation:

y= mx + b

b is the y intercept

Multiply. (2.1 X 10/2) X (3.5 X 10/5)

Answers

we first solve each bracket

we can write 2.1 as 21/10 and 3.5 as 35/10

(21/10x10/2)x(35/10x10/5)

the 10's simplify

21/2x35/5=21/2x7=147/2=73.5

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