(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


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y = 3x + 45  is the function equation of y intercept and slope.

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Answer:

there are 13 of them brother from another mother

Select all ordered pairs that satisfy the function y=4x+3.

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I suppose that you should have given some pairs to choose from.

Anyway, I can tell you how to do it. Given a pair [tex](a,b)[/tex], you have to substitute [tex]a[/tex] and [tex]b[/tex] to [tex]x[/tex] and [tex]y[/tex] respectively, and see if you get something true.

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[tex]7=4\cdot 1+3[/tex]

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is clearly false.

Demarcus' workout playlist consists of classic rock songs and rap songs.
His playlist contains a total of 47 songs,
Which of the following statements represent the number of classic rock
and rap songs on Demarcus' playlist? Select all that apply.
x+y = 47
24 and 24
43 and 4
x = y + 47
y=-x+ 47
13 and 34

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It is (13 + 34), (43 + 4). Hope this helps!!! It couldn’t be the other ones because they don’t include all of the numerals.

Which statements are ture about 5/6 and 7/10 ?Check all that apply

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Answer:

is that all?

Step-by-step explanation:

isnt there more to the problem?

Question 24 of 25
What is the measure of R?

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68°
Because the two sides are equal, then the angles will be as well
I believe the answer is 68 degrees
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If I’m not mistaken

Indicate the answer choice that best completes the statement or answers the question.
The table shows the cost of long distance calls as a function of the number of minutes used. Is the cost a linear or nonlinear function of the
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Answer: hold on you didn’t give enough info for this to make sense

Step-by-step explanation:

PLEASE HELP!
Given that m∠NMP=(5y+11)∘ and m∠OMP=(8y−13)∘, identify m∠NMO.

Answers

Answer: 102

Step by Step Explanation:

5y+11=8y-13

-8      -8y

-3y+11=-13

     -11  -11

    3y = -24 = 8           y=8

    3y     3y

5(8)+11=51

Multiple 51 times 2 and you're answer will be the following.

Find x =
Please help I’ll give brainiest answer

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Answer:

The Answer is 6

If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?

Answers

Answer:

A drink cost 1.50

Reasoning:

3×2=6

6+1.50=7.50

7.50+1.50=9

4×2=8

8+1.50=9.50

Eber ran 3 miles. He stopped to take a break every {3}{4) mile.How many times did Eber stop, including his final stop at the end of the run?

Answers

Answer:

4 times

Step-by-step explanation:

The total model is 3 miles, divided by 3/4 equals the multiplication problem 3/1 times 3/4 but use the reciprocal of 3/4 which is 4/3 so it would be 3/1 times 4/3 which is 12/3 which is equivalent to 4. :)

There are 4 times did Eber stop.

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;

Eber ran 3 miles.

And, He stopped to take a break every 3/4 mile.

Now,

Let number of times stop = x

So, We can formulate;

⇒ 3/4x = 3

⇒ x = 3 × 4 / 3

⇒ x = 12/3

⇒ x = 4

Thus, There are 4 times did Eber stop.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What is the volume of a cylinder with a radius of 2 cm and a height of 8 cm?​

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Answer:

V = 100.531 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder: V = πr²h

Step-by-step explanation:

Step 1: Define Variables

r = 2 cm

h = 8 cm

Step 2: Find Volume

Substitute [Volume]:                    V = π(2 cm)²(8 cm)Exponents:                                   V = π(4 cm²)(8 cm)Multiply:                                        V = π(32 cm³)Multiply:                                        V = 100.531 cm³

Solve the linear system using a table.
7a -b=-1
-4a - 2b = -2


A. (0,0)
B. (0,1)
C. (1,0)
D. (1,1)

Answers

The correct answer is:

B. (0,1)

Solve. Please show your work

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Answer:

128

Step-by-step explanation:

8^2√2^2

64√2^2              rewrite √2^2 as 2

64*2

=128

x^3*x^?=x^17 I don't know what the is.

Answers

Answer:

14

Step-by-step explanation:

x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14

Answer:

First write the given equation

[tex]{:}\xrightarrow{ }\tt x^3×x^?=x^17 [/tex]

Simplify

[tex]{:}\longrightarrow\tt x^{(3+?)}=x^17[/tex]

[tex]{:}\longrightarrow\tt 3+?=17 [/tex]

Interchange sides

[tex]{:}\longrightarrow\tt ?=17-3 [/tex]

[tex]{:}\longrightarrow\tt ?=14 [/tex]

Explore more:-Formulas of exponents:-

[tex]\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}[/tex]

what is -5x + 3y= 12 in slope intercept form?

Answers

Answer:

y = (5/3)x + 4

Step-by-step explanation:

-5x + 3y = 12 (What you start with)

3y = 12 + 5x (Adding 5x to both sides)

y = (5/3)x + 4 (Dividing the equation by 3)

In a Create of 30 eggs
only 60 % is good how many
are bad?

Answers

Answer:

In my point of view 40% are bad

The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a television set:

a. Fails in less than 10,000 hours.
b. Lasts more than 120,000 hours.
c. Fails between 60,000 and 100,000 hours of use.
d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

Answers

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

Using the exponential distribution, it is found that:

a) There is a 0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

b) There is a 0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

c) There is a 0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

d) The 90th percentile is of 230,259 hours.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:

[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]

Which has the following solution:

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem:

Mean of 100,000 hours, hence, they decay parameter is [tex]\mu = \frac{1}{100000}[/tex]

Item a:

[tex]P(X \leq 10000) = 1 - e^{-\frac{10000}{100000}} = 1 - e^{-0.1} = 0.0952[/tex]

0.0952 = 9.52% probability that a television set fails in less than 10,000 hours.

Item b:

[tex]P(X > 120000) = e^{-\frac{120000}{100000}} = e^{-1.2} = 0.3012[/tex]

0.3012 = 30.12% probability that a television set lasts more than 120,000 hours.

Item c:

[tex]P(X \leq 60000) = 1 - e^{-\frac{60000}{100000}} = 1 - e^{-0.6} = 0.4512[/tex]

[tex]P(X \leq 100000) = 1 - e^{-\frac{100000}{100000}} = 1 - e^{-0.6} = 0.6321[/tex]

[tex]P(60000 \leq X \leq 100000) = P(X \leq 100000) - P(X \leq 60000) = 0.6321 - 0.4512 = 0.1809[/tex]

0.1809 = 18.09% probability that a television set fails between 60,000 and 100,000 hours of use.

Item d:

This is x for which:

[tex]P(X > x) = 0.1[/tex]

Hence:

[tex]e^{-\mu x} = 0.1[/tex]

[tex]e^{-0.00001 x} = 0.1[/tex]

[tex]\ln{e^{-0.00001 x}} = \ln{0.1}[/tex]

[tex]-0.00001 x = \ln{0.1}[/tex]

[tex]x = -\frac{\ln{0.1}}{0.00001}[/tex]

[tex]x = 230259[/tex]

The 90th percentile is of 230,259 hours.

A similar problem is given at https://brainly.com/question/25645425

HELP PLEASE EXPERTS! the question is in the picture

Answers

Answer:

B) 6

Step-by-step explanation:÷

The area of a triangle = 1/2 b* h or [tex]\frac{b*h}{2}[/tex]

Line AB = 4

Line AC = 3

Line BC = x

b = 3

since it is at a right angle,

h = 4

[tex]\frac{3*4}{2}[/tex] = 6

A = 6

Area of a triangle = b•h•1/2

base = 3
height = 4

3•4•1/2 = 6

-3/7 × - 1 2/3
what is the answer ​

Answers

Answer:

[tex]\boxed{\frac{5}{7} }[/tex]

Step-by-step explanation:

[tex]-\frac{3}{7} \times (- 1 \frac{2}{3} )[/tex]

[tex]= -\frac{3}{7} \times (- \frac{5}{3} )[/tex]

[tex]= \frac{5}{7}[/tex]

Answer:

5/7

Step-by-step explanation:

do you get the answer?

Wall-mart had a laptop for $500. Best Buy was selling the same laptop for 15% more. What is price of the laptop at Best Buy?

Answers

Answer:

575

Step-by-step explanation:

15% of 500 = 75

500 + 75 = 575

Answer:

$425

Step-by-step explanation:

500*0.15=75

500-75=524

Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong? PLS ANSWER FASTTT!! :)

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Answer:i think it is like 17

Step-by-step explanation:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

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Answer: so 5 out of 5 is like if it said 100 out of 100

soooo the answer is 100% ;)

Step-by-step explanation:

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After 10 years Lori will have 27 dollars more than Darryl (I took the test)

A culture started with 6,000 bacteria. After hours, it grew to 7,200 bacteria. Predict how many bacteria will be present after 19 hours. Round your answer to the nearest whole number​

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Answer:

that would be c i had that ques 5 mns ago

Step-by-step explanation:

Answer:

It’s 3600

Step-by-step explanation:

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Answer:

Step-by-step explanation:

assuming that weekends are only sat and sunday

24 students

or

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30 students

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Answer:

24 students prefer weekend days C:

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We can conclude that Collin will have £3691.41 in his account after 10 years.

Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?

Answers

Dimes are 0.10 each

Pennies are 0.01 each

You need 4 pennies to get the 0.04

Then you would have 3 dimes .

3 x 0.10 = 0.30

4 x 0.01 = 0.04

0.30 + 0.04 = 0.34

what is parallel to y=3x+1
you can only use the numbers 3,-2,1,4,-1,0,2,5 and put it in y= x +

Answers

Answer:

y=3x+1

Step-by-step explanation:

A parallel line has the same slope as the other line.

y=mx+b, m is the slope

Thus in y=3x+1, m =3

y = 3x + b

plug in points (1, 4) to determine b

4 = 3(1) + b

4 = 3 + b

subtract 3 on both sides

4 - 3 = b

b = 1

y = 3x + 1

please give thanks by clicking heart button :)

Determine the value of x and y

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where is the question , without question how can we find the Values

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