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.

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.

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]

Answer:

Step-by-step explanation:

(43)*(29)

explicación paso a paso:

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

(43)*(29)=

43×29

______= 1,274

Answer:

C.  12    is the correct answer

Step-by-step explanation:

1.2 x 10¹²

Answer:

Step-by-step explanation:

just find a new photo

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

Answer:

its 11/14 so its B hope this helps

Answer:

Most precise to least precise

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

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].

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 -

brainly.com/question/14441381

#SPJ2

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.

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

so what's the question ⁉️

Steps:

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]

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.

Answer:

true

Step-by-step explanation:

PEMDAS order

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

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]

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

Answer:

12.08-1.42=10.66

it takes 10.66 minutes on Thursday to run a mile

Answer:

Step-by-step explanation:

      $20 / 5 kg = $4 / kg

$2.50 / 0.5 kg = $5 / kg

the big bag is a better deal

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

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]

Given,

p = -5

m = 3

Substitute these values in the equation.

p - (m - p)

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

= -5 - (3 + 5)

= -5 - 8

= -13

______

RainbowSalt2222 ☔

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

Answer:

false

Step-by-step explanation:

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

Answer:

The answer is 12

6×12= 24

6×12=72