A population of values has a normal distribution with
μ
=
124.9
and
σ
=
45
. You intend to draw a random sample of 36 items from this population.

Find the probability that the mean of this sample is less than 105.4.

Answers

Answer 1

The probability that the mean of this sample is less than 105.4 is 14.46%

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\x=raw\ score, \sigma=standard\ deviation, \mu=mean,n\ is\ sample\ mean\\\\\\Given\ that\ \sigma=45,\mu=124.5,n\ =36,hence:\\\\For\ x<105.4:\\\\z=\frac{105.4-124.9}{45/\sqrt{36} }=-1.06[/tex]

From the normal distribution table, P(x < 105.4) = P(z < -1.06) = 0.1446 = 14.46%

The probability that the mean of this sample is less than 105.4 is 14.46%

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Related Questions

Type the correct answer in the box.
Winston is creating a rectangular piece of 8-bit art using squares that are x pixels wide. The length of the rectangular piece, in pixels, is represented by the function l(x) = x + 24, and the width of the rectangular piece is represented by w(x) = x + 16.

Write the standard form of the function which describes the total area of the rectangular piece, a(x), in terms of x, the side length of each square pixel.

Answers

Area=l×w

Function:-

[tex]\\ \sf\longmapsto (l*w)(x)[/tex]

[tex]\\ \sf\longmapsto l(x)*w(x)[/tex]

[tex]\\ \sf\longmapsto (x+24)(x+16)[/tex]

[tex]\\ \sf\longmapsto x^2+40x+384[/tex]

4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.

PLEASE HURYYYYYYYYY

Answers

Answer:

2 2/3

Step-by-step explanation:

I did the k12 quiz

The sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times 8/3 is 4 [tex]\frac{5}{9}[/tex].

What is a expression? What is a mathematical equation? What is Equation modelling ?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is 4 [tex]\frac{5}{9}[/tex] is the same as the sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times a number

Assume the number to be [x]. Then, we can write -

41/9 = 7/3 + 5x/6

41/9 - 7/3 = 5x/6

(41 - 21)/9 = 5x/6

20/9 = 5x/6

x = 20/9 x 6/5

x = 4/3 x 2

x = 8/3

Therefore, the sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times 8/3 is 4 [tex]\frac{5}{9}[/tex].

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

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#SPJ2

SOMEONE PLEASE HELP I will mark you BRAINLIST

Answers

Answer:

20 degrees

Step-by-step explanation:

both triangles are co friend and 90+70=160 180+160=20

Answer:

x=20 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

Multiple choice what is -1.8 - 3.9=

Answers

Answer:

1. -5.7

Step-by-step explanation:

When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.

Just so you can make sure your answers are correct for the next ones:

2. -2

3. -4.4

hi there please explain how to solve or factorise this as i dont know the formula plus how to do ?:)
(x^2+1)?​

Answers

Steps:

Writing down the equation. x^2 + 1 = 0.Subtract 1 from both sides. x^2 = -1Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.(x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.

Hello,

We cannot factorize this binomial expression using normal factorization method.

if you have studied complex numbers method, then you can solve.

Here are the steps :-

[tex]{x}^{2} = (x)(x)[/tex]

[tex]→1 = (i)( - i)[/tex]

Now multiply,

[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]

[tex]→(x + i)(x - i)[/tex]

Therefore, the factors are (x+i)(x-i) :-

[tex]→ {x}^{2} = (x + i)(x - i)[/tex]

participants were asked overall do you approve or disapprove a normal model is appropriate fit for the sampling distributions of sample differences true or false

Answers

Answer:

false

Step-by-step explanation:

Kaitlyn purchased a new car 39 months ago for $18791. She has been paying $197.43 per month. How much does Kaitlyn still owe for her car?

Answers

Answer:

$11091.23

Step-by-step explanation:

Reword the situation:

She purchased a car for 18791 dollars 39 months ago.

As the 39 months passed she has been paying 197.43 a month.

How much does she still owe for her car?

First find out how much she's paid so far.

For 39 months she has been paying 197.43 a month

So, so far she's payed a total of 197.43 * 39 = 7699.77 dollars

Now subtract amount she's paid so far from total price of car.

18791 - 7699.77 = 11091.23

She still owes 11091.23

gayle made a baby quilt using 24 equal squares. she wants to know the side length of one square. the right side and the left side are 3 ft long aqnd the top and bottom are 4.5 feet long.

Answers

L= 3/4 ft
The side lengths quilt is:
Length- 4.5 ft
Breadth- 3 ft

p - (m - p); use m = 3, and p = -5

Answers

Given,

p = -5

m = 3

Substitute these values in the equation.

p - (m - p)

= (-5) - (3 - (-5))

= -5 - (3 + 5)

= -5 - 8

= -13

______

RainbowSalt2222 ☔

The slope intercept form of a linear equation is given by AX true or false

Answers

The slope intercept form is y=mx+b.

perform division before addition true or false​

Answers

Answer:

true

Step-by-step explanation:

PEMDAS order

parenthesis->exponents->multiplication & division->addition & subtraction

Rank the following methods of timekeeping from most precise to least precise. ANSWER ASAP AND GET BRAINLIEST

A stop watch
Finding the height of the sun in the sky
Counting heartbeats
A calendar

Answers

Answer:

Most precise to least precise

Finding the height of the sun in the skyCounting heartbeats A calendarA stop watch

Two numbers that have a product of 1 are called what??​

Answers

Hello there!

These numbers are called reciprocals.

A reciprocal is a number flopped over.

Example:

[tex]\frac{1}{7} *\frac{7}{1} =1\\\frac{1}{8} *\frac{8}{1} =1\\\frac{1}{9} *\frac{9}{1} =1[/tex]

Hope it helps!

~Just a cheerful teen

#CarryOnLearning

Good luck on your assignment and have a splendiferous day!

Answered by

[tex]-SilentNature-[/tex]

Hello can someone please help me with this

Answers

Answer:

c)

Step-by-step explanation:

my guess is if she needs 1.04 tablets a day, and 1 tablet is closer to that than any other option listed

6
What number should the numerator and denominator of be multiplied by to show that is equivalent to 24 22
3
4

12
36

Answers

Answer:

The answer is 12

6×12= 24

6×12=72

Given the scenario in #2 for Kevin, how much interest will he pay over the life of the
mortgage?
A. $62,283.60
B. $24,337.80
C. $28,632.60
D. $64,312.60

Answers

the correct answer is a

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2

Answers

Step-by-step explanation:

for a quadratic equation

y = ax² + bx + c

the x value for the axis of symmetry is

x = -b/(2a)

in our case

y = 2x² - 4x + 5

a = 2

b = -4

x = - -4/4 = 4/4 = 1

x = 1 is the correct answer.

i inserted a picture of the question can you please make it short

Answers

Answer:

C.  12    is the correct answer

Step-by-step explanation:

1.2 x 10¹²

Can someone help me with this question?

Answers

Answer:

4.39%

Step-by-step explanation:

- chefs/head was facing the larger percent decrease

- by this much:

[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]

11. A friend of yours is graduating college next month. He has had a credit card and student loans for the past few years, but he’s never bothered to check his credit report

Answers

so what's the question ⁉️

Helppppppppppppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

just find a new photo

how to do this problem
3x-2=6

Answers

Answer:

x = 2.667

Step-by-step explanation:

so first you wanna isolate the x by adding 2 to both sides

3x - 2 = 6 ---> 3x = 8

then divide both sides by 3 to get the x alone

x = 8/3 = 2.667

U simplify it to 3x = 8 then u turn it to a fraction x = 3/8 that = 2.667

what is 42=-7(z-3)Z=

Answers

Answer:

42=7z^2+21z

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

42=-7(z-3)

42=-72-21

+21       +21

63/-7=-72/7

z=-9

Pls help I am desperate

Answers

follow the steps shown on the photo

9514 1404 393

Answer:

  7/5x -1/3

Step-by-step explanation:

We assume you want to simplify this expression.

  [tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]

_____

Additional comment

2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.

Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33

Linear equations

Answers

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

Determina el resultado de la siguiente operación -2 -7 -9

Answers

Answer:

Step-by-step explanation:

(43)*(29)

explicación paso a paso:

en una operación matemática (*) se denomina como (×)

(43)*(29)=

43×29

______= 1,274

A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?

Answers

Answer:

Step-by-step explanation:

      $20 / 5 kg = $4 / kg

$2.50 / 0.5 kg = $5 / kg

the big bag is a better deal

(I am giving branlest) (plz help only if you understand )



Solve one seventh plus nine fourteenths equals blank


A ten fourteenths

B eleven fourteenths

C ten sevenths

D eleven sevenths

Answers

Answer:

its 11/14 so its B hope this helps

Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE

Answers

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile

What is the value of x? Enter your answer in the box. X=​

Answers

Check the picture below.

Answer:

x=50

Step-by-step explanation:

1. equal the equations to each other: 2(x+10)=3x-30

2. distribute the 2 to x+10: 2x+20=3x-30

3. subtract 2x from both sides, and add 30 to both sides: x=50

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