What is the z-score of x, when x = 1 and X ~ N (12,3)? Must Show Working

Answers

Answer 1

Answer:

=1−12/3≈−3.67

Step-by-step explanation:

Answer 2

The z-score of x = 1, when x ~ N(12, 3), is approximately -3.6667.

To find the z-score of x when x = 1, we'll use the formula for z-score:

z = (x - μ) / σ

Given:

x = 1

μ (mean) = 12

σ (standard deviation) = 3

Substituting these values into the formula, we get:

z = (1 - 12) / 3

Calculating the numerator:

1 - 12 = -11

Dividing the numerator by the denominator:

-11 / 3 ≈ -3.6667

Therefore, the z-score of x = 1, when x follows a normal distribution with a mean of 12 and a standard deviation of 3, is approximately -3.6667.

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Related Questions

A scientist needs 180 milliliters of a 20% acid solution for an experiment. The lab has available a 25% and a 10% solution. How many milliliters of the 25% solution and how many milliliters of the 10% solution should the scientist mix to make the 20% solution

Answers

9514 1404 393

Answer:

120 mL of 25% solution60 mL of 10% solution

Step-by-step explanation:

Let q represent the quantity of 25% solution in the mix. Then 180-q is the quantity of 10% solution. The quantity of acid in the mix is ...

  0.10(180 -q) +0.25(q) = 0.20(180)

  18 +0.15q = 36 . . . . simplify

  0.15q = 18 . . . . . . . . subtract 18

  q = 18/0.15 = 120 . . . . divide by the coefficient of q

  180-q = 60

The scientist should mix 120 mL of 25% solution with 60 mL of 10% solution.

solve for x! please help giving BRAINLIEST.

Answers

Answer:

its 45

Step-by-step explanation:

WHAT IS 159 DIVIDED BY 3 (ITS NOT HARD PLEASE ANSWER I DON'T HAVE A CACULATER)

Answers

Answer:

Step-by-step explanation:

The asked quotient of 159 divided by 3 is the number 51.

What is divide?

It is the inverse of multiplication, and it is used to find out how many times one number can be divided by another. In mathematics, the division is an arithmetic operation that involves splitting a quantity into equal parts or groups.

Here,
As mentioned in the question, we have to determine the quotient of 159 divided by 3
So let the quotient be y,
y = 159/3
y = 51

Thus, the asked quotient of 159 divided by 3 is number 51.

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Where do I put the parenthesis to make it true?

5 – 6w – 5 – 95 + 2w = –48w – 70

Answers

Answer:

i just stole your points thank you

Step-by-step explanation:

5 – 6w – 5 – 95 + 2w = –48w – 70

-6w + 2w + 48w = -70 -5 + 5 +95

44w = 25

w=25/44

78 divided by 21?:-:

Answers

Answer:

3.7 or 3.71428571429

Step-by-step explanation:

:/

Answer:

3.714

Step-by-step explanation:

78/21 is 3.71428571429 but you can round that to 3.714

If AZ = 85 ZE=51 find Bc

Answers

The answer is 136.
85^2-51^2
=4624
Then we square root that to get…
68
BUT the answer is saying from b to c so we would have to multiply it by 2 to get…
136

what is 250% of 5
please help

Answers

Answer:

  12.5

Step-by-step explanation:

You can read this problem as ...

  2.5 × 5 = 12.5

__

You can think of % as meaning /100. You can think of "of" as meaning "times". Then the expression

  250% of 5

can be thought of as ...

  250/100 × 5

  = 1250/100 = 12.5

Jerome makes and sells his own energy drinks. He mixes a liquid drink mix with water to create his own special blend. Jerome usually uses 8 cups of water and 3 cups of drink mix. Tomorrow, there is a road race in town, however, and Jerome thinks he’ll be able to sell a lot more of his energy drinks than usual. Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink. Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio the same and still increase the total amount of energy drink. Who is correct: Jerome’s brother or Jerome’s sister? As you complete the task, keep this question in mind: Based on what you know about ratios, what do you think the answer will be? Directions: Complete each task, reading the directions carefully as you do. You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and on the completeness and accuracy of your explanations. Your teacher will give you further directions on submitting your work. You may be asked to upload the document, e-mail it to your teacher, or hand in a hard copy. Now let’s get started! Step 1: Finding the part-to-part and part-to-whole ratios To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix? (2 points) What is the ratio of drink mix to water? (2 points) What is the ratio of drink mix to mixed energy drink? (2 points) What is the ratio of water to mixed energy drink? (2 points) Step 2: Testing Jerome’s brother’s approach Jerome’s brother told him to add one cup of water for every one cup of drink mix he add

Answers

Answer:

not well explained??

Step-by-step explanation:

?? explain it better bro.

Mr. Martin drove away from his house without his wallet. He did a 180. Where is he heading now?

Answers

Martin is heading to his house

In right triangle EAD with right angle at A, AE=4 units, AB=BC=CD and the area of triangle ABE=6 sq units. What is the length of segment CE? Express your answer as a decimal to the nearest tenth.

Answers

Answer:

CE = 7.2

Step-by-step explanation:

Area = 1/2bh

6 = 1/2 (b)(4)

6 = 2b

3 = b     b represent AB, so BC and CD is 3 unit also

Length of CE , you have a right triangle with a leg(AE) = 4 and and the other leg (AC) = 6 and the hypotenuse (CE) = x

The figure is a right triangle so you know that a² + b² = c²

4² + 6² = x²

16 + 36 = x²

52 = x²

[tex]\sqrt{52 }[/tex] = x

7.211 ≈ 7.2 = CE

in what value of b makes y= 2x + b the same as y= 2x what does that value mean

Answers

Answer:

B = 0

Step-by-step explanation:

If you have y = 2x + b and are trying to get to y = 2x

Then just remove the B itself meaning it's value would be 0 so it is as if that variable was never in the actual equation.

Basing ourselves off of the formula "y = mx + b"

B = 0 would mean that the y-intercept of the line is 0

Answer:

0

Step-by-step explanation:

if y=2x and y=2x+b is the same then b must be 0.

1. You are interested in recycling behavior and whether it varies between urban and
rural residents. You know that the statewide recycling rate is 48.89%, and you
survey 140 rural residents and 310 urban residents to find out if they recycle.
180 urban residents respond that yes, they recycle. 130 do not. 40
rural residents recycle, and 100 do not.
a) Construct an expected frequencies crosstab, based on the sample size and the
statewide recycling rate.
b) Construct an observed frequencies crosstab, based on your actual data.
(NOTE for 1a and 16: Be sure to include both percentages and frequency values, in

Answers

Answer:

65

Step-by-step explanation:

The simple interest charged on a 12-month loan of $82,000 is $631. Find the simple interest rate. (Round your answer to one decimal place.)

Answers

Step-by-step explanation:

631/82000×100

=0.8

MARK ME BRAINLIEST PLSS!

613209x659832=?
If you answer this correct congrats you're a genius
(and yes its possible I solved myself)

Answers

Answer:

4.046149209.iS it correct?

Answer:

[tex]4,046149209.10^{11}[/tex]

Step-by-step explanation:

using computer pocket :))

Which function has an inverse this is a function?

b(x)=x^2 + 2x

d(x)=-4x

m(x)=-3

p(x)=|x|

Answers

Answer :-

Option 2

Step by step explanation :-

d (x) = -4x has an inverse .

WILL GIVE BRAINLIEST!!

Which graph shows the following system of equations and it’s solution?

{ -2x -y = -5
{ 2x - 3y = 1

Answers

Answer:

Step-by-step explanation:

These two lines will intersect at (-4, -3). The top equation will have a slope of 1/4 and the bottom one a slope of 7/4.

given the quadratic function, find the x value of the vertex of y=x2=4x-8

Answers

Answer:

27x^2−9y^2=81

Find the value of y for the given value of x.
y = x/2 + 9;x = -12

Answers

Step-by-step explanation:

x = -12

y = x/2 + 9

y = -12/2 + 9

y = -6 + 9

y = 3

Customers at a gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the scenario.

What is the slope of the line?

Answers

where is the graph ? i can help

Two students are working on the same homework assignment. Antonia has completed 18 out of 45 questions. Oliver has completed 20% of the questions. Which student has completed the most questions, and why?

Answers

Answer:  Your anwser who has the most completed it would be the person with 18 questions anwsered out of 45

Step-by-step explanation:

The reason of this is becuase 20 percent of 45 if 9 and thats 9 questions out of 45 so 18 questions out of 45 is more

please mark brainliest thank you

If you randomly select a card from a well-shuffled standard deck of 52 cards, determine the probability that the card you select is not a spade.
A. Write your answer as a simplified fraction.
B. Write your answer as a decimal, rounded to the nearest thousandth.
C. Write your answer as a percent. Round to the nearest tenth of a percent and don't forget to include a percent sign, %, in your answer.

Answers

Answer:

a. 1/13

b. 0.077

c. 7.7

Step-by-step explanation:

a. there are 4 of the 6 in a deck of cards so the probability of taking this cards from the deck of 52 cards is 4/52. Given you 1/13.

Sum of the Angles of a Triangle

If the three angles of a triangle

are equal, what is the

measurement of each angle?

B

C

[?] degrees

Answers

9514 1404 393

Answer:

  60°

Step-by-step explanation:

If the measure of the angle is represented by A, then the sum of the three angles in the triangle is ...

  A +A +A = 180°

  3A = 180° . . . . . . . simplify

  A = 180°/3 = 60° . . . . . divide by the coefficient of A

The three angles in an equi-angular triangle are all 60°.

__

Additional comment

If the angles are equal, so are the opposite sides. The three sides in an equi-angular triangle are also equal. Generally, such a triangle is called an equilateral triangle. It is useful to remember the angles in an equilateral triangle are all 60°.

One interesting consequence of this is that the smallest angle in any triangle can never be larger than 60°.

WILL GIVE BRAINLIEST
These two triangles are congruent by ....
O SSS
O SAS
O HL
O ASA
O AAS
O the triangles are NOT congruent

Answers

I don’t really know what it is but you can cross out A, B, and F for sure.

SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.

These two triangles are congruent by SAS postulate

Proof

Statements                                         Reasons

In  ΔNHJ ↔ ΔKHJ

mHJ≅mHJ                                   common to both Δs∠N≅∠K                                    right anglesmHN≅mHK                                     given

From 1,2, and 3 ΔNHJ ≅ ΔKHJ            SAS≅SAS

For more explanation click

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A sample in which each element in a population has a equal chance of being selected

Answers

Answer:

simple random sample

Step-by-step explanation:

I hope that's it

Greg received 3/8 of the votes cast for class secrectary. How many votes did he receive
Write your answer in simplest form
( show me how you got your answer like an explanation please Thanks! :)

Answers

Answer: 3/8

Step-by-step explanation: We don't know how many votes are there for the class secretary.

Up arrow, right arrow, down arrow, left arrow, up arrow, right arrow, down arrow, left arrow. What's the conjecture

Answers

Answer:

The correct option is;

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-arrow (x, -y).

If one reflects a figure across the y-axis, the points of the image can be found using the pattern (x, y) Right-Arrow (-x, y).

Taking the result from the first reflection (x, -y) and applying the second mapping rule will result in (-x, -y), not (y, x), which reflection across the line y = x should give

Step-by-step explanation:

We have that for reflection across the x-axis, (x, y) → (x, -y)

For reflection across the y-axis, (x, y) → (-x, y)

Therefore, given that the pre-image before the reflection across the y-axis is (x, -y), we have;

For reflection across the y-axis, (x, -y) → (-x, -y)

For reflection across the line, y = x, gives (x, y) → (y, x) which is not the same as (-x, -y)

A ruler 30 cm long is broken into two parts in the ratio 8:7. How long
are the two parts?

Answers

Answer:

Step-by-step explanation:

Length of each part of the ruler will be

8x and 7x

. Hence, 8x+7x=30 => 15x=30 =>x=2

Hence, the lengths will be

8x=8×2=16

7x=7×2=14

I need help with part a and b please

Answers

Answer:

The total answer should be 38 on the top

Step-by-step explanation:

a) So the first partial quotient would be equal to 30 as 31 x 30 = 930

b) Second partial quotient would be 8 as 31 x 8 = 248

Answer:

0

38

I hope it's help byeeee

Write 5/6% as a decimal number.​

Answers

Answer: 5/6 as a decimal is 0.833

Step-by-step explanation:

just divide 5 by 6

0.8 hope this helps :).

Find the volume of the following prism.

Answers

Answer:

[tex]4860[/tex] cubic units

Step-by-step explanation:

First, we use the formula of the triangle prism to solve the question

[tex]v=\frac{1}{2}b*h*l[/tex]  

[tex]v=\frac{1}{2} 18*12*45[/tex]

[tex]v=4860 cm^{3}[/tex]

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