Given a normal distribution with mean 27 and standard deviation 6 find the area under the normal curve from the mean to 12.3

Answers

Answer 1

We can use a standard normal distribution table or calculator to find this area.Using a standard normal distribution table, we find that the area to the left of

z = -2.45

is approximately

0.015 or 1.5%.

Therefore, the area under the normal curve from the mean to 12.3 is approximately

0.015 or 1.5%.

Given a normal distribution with mean 27 and standard deviation 6, the area under the normal curve from the mean to 12.3 is approximately

0.015 or 1.5%.

Explanation:To solve this problem, we need to use the z-score formula, which is

z = (x - μ) / σ,

where x is the value of interest, μ is the mean, and σ is the standard deviation.In this case,

x = 12.3, μ

= 27, and

σ = 6.

Plugging in the values, we get:

z = (12.3 - 27) / 6z

= -2.45

To find the area under the normal curve from the mean to 12.3, we need to find the area to the left of

z = -2.45.

We can use a standard normal distribution table or calculator to find this area.Using a standard normal distribution table, we find that the area to the left of

z = -2.45

is approximately

0.015 or 1.5%.

Therefore, the area under the normal curve from the mean to 12.3 is approximately

0.015 or 1.5%.

To know more about curve visit:

https://brainly.com/question/31833783

#SPJ11

Related Questions

20 POINTS!! ANSWER FAST

Which of the following values is not a Perfect Square?

A. 16
B. 225
C. 8
D. 64

Answers

Answer:

C - 8

Explanation:

16, 225, and 64 are perfect squares. 8 isn’t because you multiply with 2 different numbers which doesn’t give you a perfect square. Not to mention that if you were to square root 8, you’d get a nasty decimal.
So, yeah. -w-

Straight line A has the equation y = 3x + 2. Find the equation of the line parallel to A and goes
through the point (3,8)

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (3, 8 ) into the partial equation

8 = 9 + c ⇒ c = 8 - 9 = - 1

y = 3x - 1 ← equation of parallel line

If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes

Answers

5 minutes, the time that the process takes doesn’t change just because there’s more of them unless your doing them individually.

If this trend continues, in which week will she give a 12-minute speech?

The week that Alyssa gives a 12-minute speech is week ____
What the answer
Help ASAP

Answers

Answer:

420

Step-by-step explanation:

if we add 30 to each of the length of speech, we get 420 seconds

hi please help i don’t understand

Answers

Answer: I think the rule is that x = y + 2, or y = x- 2

when x = 10 , y = 8 by the way

hope this helps

Find perimeter of this square with sides of length 5 cm

Answers

Answer:

P = 20 cm

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides (s) of the square

the sides of a square are congruent , then

P = 4s = 4 × 5 = 20 cm

Please help with this

Answers

Answer:

1. x = {-3, 3}

2. a = {-12, -2}

3. v = {-7, 10}

4. m = {-8, 8}

5. k = {-11, 1}

6. y = {-13, 19}

Step-by-step explanation:

|-2x| = 6

means that

-2x = 6 or -2x = -6

x = -3 or x = 3

|a + 7| = 5

means that

a + 7 = 5 or a + 7 = -5

a = -2 or a = -12

|8v-12| = 68

means that

8v-12 = 68 or 8v-12 = -68

8v = 80 or 8v = -56

v = 10 or v = -7

| m / -4 | + 1 = 3

| m / -4 | = 2

means that

m/-4 = 2 or m/-4 = -2

m = -8 or m = 8

3|k + 5| = 18

|k+5| = 6

means that

k + 5 = 6 or k + 5 = -6

k = 1 or k = -11

|2y - 6| / 4 = 8

|2y - 6| = 32

means that

2y - 6 = 32 or 2y - 6 = -32

y = 19 or m = -13

I need help please!!!

Answers

Answer:

Step-by-step explanation:

one of the answer is zero

Answer:

a) -3

b) 9

c)-15

d) 3

e)-21

Step-by-step explanation:

plug in the number given within parentheses into f(x) = 6x-3.

Find dz/dt given:
z= x^6ye x = t^5, y = 3 + 3t
dz/dt
Your answer should only involve the variable t =

Answers

To find dz/dt, we can differentiate z with respect to t using the chain rule. Let's start by expressing z in terms of t:

Given:

x = t^5

y = 3 + 3t

Substituting these values into z:

z = x^6y

= (t^5)^6 * (3 + 3t)

= t^30 * (3 + 3t)

Now, we can differentiate z with respect to t:

dz/dt = d/dt [t^30 * (3 + 3t)]

Applying the product rule:

dz/dt = d/dt [t^30] * (3 + 3t) + t^30 * d/dt [3 + 3t]

Differentiating t^30 with respect to t:

dz/dt = 30t^29 * (3 + 3t) + t^30 * 0 + t^30 * 3

Simplifying:

dz/dt = 90t^29 + 3t^30

Therefore, dz/dt = 90t^29 + 3t^30.

know more about chain rule: brainly.com/question/30764359

#SPJ11

12.68 is greater than 12.8 because 68 is greater than 8.” Is she correct?

Answers

its not correct because 0.8 is bigger than 0.68 which is saying that the tenths place has to be bigger

Shala bought a pen on sale. She saved 17 percent of the original price of $29. About how much money did she save?
$1
$5
$10
$20

Answers

$5 ..........................?

Answer:

it is 5

Step-by-step explanation:

Solve the following inequality 10>2x+5

Answers

Answer: 2.5 is greater than x

Step-by-step explanation:

suppose the matrix, , has eigenvectors , , and whose eigenvalues are , and respectively. then, using the same order, can be written in the form where

Answers

We can write A = PAP where 1 P= and A= where P is an invertible matrix that maps the null space of A to itself.

To find the matrix P, we need to solve the following system of linear equations:

λ_1 1 = 1

λ_2 (-4) 1 = 1

λ_3 (-1) 1 = 1

The eigenvalues are real and non-negative, so they can be written as λ = λ_1, λ_2, λ_3 = λ_1, -4, -1 respectively.

Using Cramer's rule, we have:

$λ_1 * 1^T = 1 * 1^T = 1$

$λ_2 * (-4)^T = -4 * 1^T = -4$

$λ_3 * (-1)^T = (-1) * 1^T = -1$

Multiplying the first and third equations, we get:

$-λ_1 * λ_3 = -4 * (-1) = 4$

Multiplying the second and third equations, we get:

$-λ_2 * λ_3 = -4 * (-1) = 4$

Subtracting the second equation from the first, we get:

$λ_1^2 - λ_2^2 = 1^2 - (-4)^2 = 5$

Multiplying the first and third equations, we get:

$-λ_1 * λ_2 = -4 * (-1) = 4$

Dividing the third equation by the second equation, we get:

$-1/λ_2 = -1/λ_3$

Taking the reciprocal of both sides, we get:λ_2 = λ_3

Substituting this into the second equation, we get:

-$λ_1 * λ_3 = -4 * (-1) * λ_3 = -4$

Simplifying, we get:

-4 = -4

This equation has no solution, so the matrix A cannot be written in the form A = PAP where 1 P= and A= Thus, the answer is no.

To know more about invertible matrix

https://brainly.com/question/31062095

#SPJ4

Full Question: the matrix, A, has eigenvectors and whose eigenvalues are 1, –4 and – 1 respectively. Then, using the same order, A can be written in the form A = PAP where 1 P= and A=

What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.

$What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.$

Answers

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Slope = (4-7)/(7-1)

Slope = -3/6

Slope = -1/2

In a binomial situation, n=18 and π=0.60. Determine the expected
value

Answers

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

learn more about binomial here:

https://brainly.com/question/31049218

#SPJ4

Factor the GCF: 6x^2 + 3x + 9 *

Answers

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

Why do liquids have to be poured into containers before they can be measured ? 1. It would spill if not in glass2. The container has numbers on it 3. Liquids do not have a definite shape

Answers

SOLUTION

Liquids have to be poured into a container that is caliberated with measurements before it's volume can be measured because a liquid does not have a definite shape, it only takes the shape of the container which it is placed. So if the volume of the cotainer is known, that becomes the volume of the liquid.

Hence the answer is

Liquids do not have a definite shape, option 3

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.

Answers

The slope of the equation is -2/3, and the y-intercept is 490.

To change the equation 2x + 3y = 1,470 to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to solve for y.

Starting with the given equation:

2x + 3y = 1,470

First, let's isolate y by subtracting 2x from both sides of the equation:

3y = -2x + 1,470

Next, divide both sides of the equation by 3 to solve for y:

y = (-2/3)x + 490

Now we have the equation in slope-intercept form, y = (-2/3)x + 490.

From this form, we can identify the slope and y-intercept:

The slope (m) is the coefficient of x, which is -2/3.

The y-intercept (b) is the constant term, which is 490.

Therefore, the slope of the equation is -2/3, and the y-intercept is 490.

Learn more about function here:

https://brainly.com/question/11624077

#SPJ8

Which linear inequality is represented by the graph?
2
1
5 4 3 2 1
o ya x-4
oys x-4
ys-x+4
oyz x+4
3
-2-
3
Save and Exit
Next
Submit

Answers

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

m is the slope of the lineb is the y-intercept

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

Learn more inequality here: https://brainly.com/question/11613554

Give an equation for a logarithmic function that has the following features.

1. The range of the function is (-∞, ∞).
2. The domain of the function is (2, ∞).
3. The vertical asymptote of the function is = 2.
4. The graph does not cross through the point (3, 0).

Answers

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

What are the features logarithmic function?The graphs of all logarithmic functions will have the following characteristics: The graph of logarithmic functions passes through the points (1,0). If the base of a logarithmic function is greater than 1, then the graph increases.Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ayLogarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos)Two kinds of logarithms are often used in chemistry: common (or Briggian) logarithms and natural (or Napierian) logarithms. The power to which a base of 10 must be raised to obtain a number is called the common logarithm (log) of the number.

To learn more about logarithmic function refers to:

brainly.com/question/13473114

#SPJ1

Find the cost of 25 kilogram of sugar, if it was sold at the rate of $150 for 100 grams.

Thx so much ^^

Answers

Answer:

$37,500

Step-by-step explanation:

There are 10 lots of 100g in 1kg

so $150 * 10 = $1,500 per kg

$1,500 * 25 = $37,500

A triangle has two sides of length 1 and 4. What is the largest possible whole-number length
for the third side?

Answers

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

How to Apply the Triangle Inequality Theorem to Find the Length of the Third Side of a Triangle?

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not e - = - f(x) = x2 – X – 4 on [0, 4]

Answers

The absolute maximum value of the function f(x) = x² - x - 4 on the interval [0, 4] is 8, and the absolute minimum value is -17/4.

What is Absolute Value?

"It is the distance of a number from zero, without considering direction."

"It is always positive."

To find the absolute maximum and minimum values of the function f(x) = x² - x - 4 on the interval [0, 4], we can follow these steps:

Step 1: Find the critical points by taking the derivative of the function.

f'(x) = 2x - 1

To find the critical points, we set f'(x) = 0 and solve for x:

2x - 1 = 0

2x = 1

x = 1/2

Step 2: Check the endpoints of the interval.

We need to evaluate the function at the endpoints of the interval [0, 4], which are x = 0 and x = 4.

Step 3: Evaluate the function at the critical points and endpoints.

f(0) = (0)² - 0 - 4 = -4

f(1/2) = (1/2)² - (1/2) - 4 = -17/4

f(4) = (4)²- 4 - 4 = 8

Step 4: Determine the absolute maximum and minimum values.

From the values obtained in Step 3:

The absolute maximum value is 8, which occurs at x = 4.

The absolute minimum value is -17/4, which occurs at x = 1/2.

Therefore, the absolute maximum value of the function f(x) = x² - x - 4 on the interval [0, 4] is 8, and the absolute minimum value is -17/4.

To learn more about Absolute Value from the given link

https://brainly.com/question/12937538

#SPJ4

do you guys know the answer to this problem?

Answers

I think -5, sorry if I’m wrong.

Mikes fishing lure Is 21 feet below the surface of the water how many feet does he need to reel in his lyre to reach the surface of the water?

Answers

Answer:

21 feets

Step-by-step explanation:

Since the lure is 21 feets beneath the water surface,

The the elevation of the lure is - 21 feets

If the surface of water = x

Then current distance of lure equals :

x - 21

To obtain the nunber of feets to reach the water surface ;

x - 21 = 0

x = 21 feets

Question 9 » Listen If a distribution has a mean of 100 and a standard deviation of 15, what value would be +2 standard deviations above the mean? 85 0 130 O 115 70 Question 10 1) Listen

Answers

The value that is +2 standard deviations above the mean of 100 is 130. Hence, option C is correct.

Question 9If a distribution has a mean of 100 and a standard deviation of 15, what value would be +2 standard deviations above the mean?The formula to calculate the value of mean, median and mode is given below;Mean: It is calculated by adding up all the values and dividing the sum by the total number of observations in the data set. Median: It is the middle value in the dataset, such that half the observations are below it and half are above it.

Mode: It is the most frequently occurring observation in the dataset. Now, given mean, µ = 100 and standard deviation, σ = 15Z-Score is defined as the number of standard deviations a data point is from the mean of the distribution, and can be calculated using the following formula: Z = (X - µ) / σwhere X is the value of the data point. The value of Z can then be used to calculate the probability of getting a value equal to or less than X using a standard normal distribution table. +2 standard deviations above the mean would mean adding two standard deviations to the mean of the distribution.

To calculate this, we need to use the formula Z = (X - µ) / σ and solve for X when Z = 2. 2 = (X - 100) / 15X - 100 = 2 * 15X - 100 = 30X = 130Therefore, the value that is +2 standard deviations above the mean of 100 is 130. Hence, option C is correct.Question 10The question is not clear. Please provide complete information or attach the image of the question so that we can help you better.

Learn more about Standard Deviation here,

https://brainly.com/question/475676

#SPJ11

I need help and fast!!!!

Answers

Answer:

H. b/a

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Label our variables

y₂ = 2b

y₁ = b

x₂ = 2a

x₁ = a

Step 2: Plug into formula

m = (2b - b)/(2a - a)

Step 3: Evaluate

m = b/a

Answer:

b/a

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

= ( 2b - b)/ ( 2a -a)

= b/a

Select the correct answer.
Which statement is true about this equation?
y = 2^x+ 4

Answers

Answer:

Step-by-step explanation:

Graph it and you will see it is a function and since you are adding them it is also a relation. Good luck.

Answer:

it represents both a relation and a function.

Step-by-step explanation:

Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2

Answers

Step-by-step explanation:

The area of triangle is 53.5m2

Answer: 118.2977 sq. m.

Step-by-step explanation:

Step 1: Calculate "s" (half of the triangles perimeter):

s = a+b+c / 2

s = (13 + 18.2 + 22.3) / 2

s = 26.75

Step 2: Then calculate the Area:

Herons formula

A = √( s(s-a)(s-b)(s-c) )

A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)

A = (3√9951535) /80

A = 118.2977 sq. m.

The area of the rectangle is 65 yd^2,and the length of the rectangle is 3 yd less than twice the width. Find the dimensions of the rectangle

Answers

Answer: Length = 10cm

Width = 6.5cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Therefore, the length of the rectangle will be: = (2 × x) - 3 = 2x - 3

Therefore area of a rectangle = length × width

x(2x - 3) = 65

2x² - 3x = 65

2x² - 3x - 65 = 0

2x² + 10x - 13x - 65 = 0

2x(x + 5) - 13(x + 5) = 0

(2x - 13)(x + 5) = 0

2x - 13 = 0

2x = 13

x = 13/2

x = 6.5

Width = 6.5cm

Length = 2x - 3

= 2(6.5) - 3

= 13 - 3

= 10cm

Therefore, the length of the rectangle is 10cm and the width is 6.5cm.

Other Questions

True or false? sec^2*x*tan^2*x*cos^2*x = tan^2*x What elements are in sugar and are any metal Given the function f(x) = x ^ 3 - 2 and g(x) = 1/2 * x ^ 3 + 3 , which describes the transformations applied to the function f(x) so it falls onto g(x) ? Why is it important to know the common injuries that might happen when engaging in sports? Area of the bounded curves y=x^2, y=(7+x) What is the value of 'n' in the equation-1/2(2n+4)+6=-9+4(2n+1) Which of the following actions is an example of foreign policy intervention? (3 points) Group of answer choices 1) A law is passed that creates a college scholarship for naturalized citizens. 2) States pass laws requiring everyone to carry proof of U.S. citizenship. 3) The Department of Agriculture promotes U.S. farming. 4) The Congress declares war. Let y=v1(x)y1+v2(x)y2 be the solution of y+p(x)yr+q(x)y by the variation of parameters method. If y1(x)=x2, and y2(x)=14 ous 5vASA, SAS, and SSS Criteria for Congruent Triangles: Mastery TestSubmit TestBFDEIn addition to the facts in the diagram, which statement is necessary to prove that the two triangles are congruent by the SAS criterion?mentum. All rights reserved.Sinn o Answer Key for TCAP ELA English II Item Release 2019 on whether the use of technology helps with your education in school. Find (f1)'(a).f(x) = 5x3 + 4x2 + 8x + 8, a = 8 why is cost containment a goal that has been unattainable in the us health service delivery 1.calculate the volume of the cylinder write answer with the right units2.calculate the volume of the cone use the formulaNo viruses please Because common shareholders are entitled to the profits that remain after all of a corporation's other obligations have been met, common shareholders are known as:________ The typical trend in a rising plume of subduction-zone magma is to increase the ____________. AGAIN.... MORE HELP! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT! x According to Adam Smith in this passage, what isthe measure of a good society?ABCDSmith believes that the measureof a good society is dependantupon the well-being of theworst-off as much as it is thewell-being of the well-off.Smith believed that you neededa strong upper class in order fora society to be well-off.Smith believes that the measureof a good society is found withinits laws and fairness amongcitizens.Smith believed the income gapbetween the rich and poorprovided an accurate measureof the well-being of a state. A client with a 28-day cycle reports that she ovulated on may 10. The nurse would expect the client's next menses to begin on? 4. Solve the simultaneous equationsx+2y=32x+3y = 5