how to complete the square for an equation for example this equation -10x ² +250x-1500=0.

Answers

Answer 1

Answer:

x = 15 and x = 10

Step-by-step explanation:

To complete the square for the quadratic equation -10x² + 250x - 1500 = 0, follow these steps:

1. Divide the entire equation by the coefficient of x² to make the coefficient of x² equal to 1:

-10x² + 250x - 1500 = 0

Dividing by -10, we get:

x² - 25x + 150 = 0

2. Move the constant term (in this case, 150) to the right-hand side of the equation:

x² - 25x = -150

3. Add the square of half of the coefficient of x to both sides of the equation:

x² - 25x + (25/2)² = -150 + (25/2)²

Note that (25/2)² = 625/4.

x² - 25x + 625/4 = -150 + 625/4

4. Simplify the right-hand side of the equation:

x² - 25x + 625/4 = 25/4

5. Factor the left-hand side of the equation as a perfect square trinomial:

(x - 25/2)² = 25/4

6. Take the square root of both sides of the equation:

x - 25/2 = ±5/2

7. Solve for x:

x = (25 ± 5)/2

x = 15 or x = 10

Therefore, the solutions to the equation -10x² + 250x - 1500 = 0 are x = 15 and x = 10.


Related Questions

the number of customers served per day by a large department store is normally distributed, with a mean of 3,250 customers and a standard deviation of 320. find the range of customers served on the middle 50 percent of days.

Answers

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers, under the condition that mean of 3,250 customers and a standard deviation of 320.

Here,
The middle 50% of days means that we are observing for the range of values that comprise the middle 50%  the data.

In order o find  range, we have to find the z-scores that correspond to the 25th and 75th percentiles and then change these z-scores back to raw scores using the formula
z = (x - μ) / σ
here x = raw score,
μ = mean,
σ = standard deviation

The z-score concerning to the 25th percentile is -0.6745 and the z-score concerning  the 75th percentile is +0.6745.
Using these z-scores and the formula, we evaluate  the raw scores that concerning  the percentiles
z = (x - μ) / σ
-0.6745 = (x - 3250) / 320
x = 2994
z = (x - μ) / σ
+0.6745 = (x - 3250) / 320
x = 3514

The range of customers that served on the middle 50 percent of days are from 2994 to 3514 customers.


To learn more about Z-score
https://brainly.com/question/28000192
#SPJ4

if tan (x+y)=4/3 and tan x=5/13. evaluate tan y​

Answers

We can use the formula for tangent of a sum of angles to solve this problem:

tan(x + y) = (tan x + tan y) / (1 - tan x * tan y)

Substituting the given values, we get:

4/3 = (5/13 + tan y) / (1 - 5/13 * tan y)

Multiplying both sides by the denominator and simplifying, we get:

52/3 - 20/3 * tan y = 5/13 + tan y

Multiplying both sides by 3/20 and simplifying, we get:

tan y = (52/3 - 5/13) / (20/3 + 1)

tan y = (1699/39) / (23/3)

tan y = 221/299

Therefore, tan y is approximately 0.7391 (rounded to four decimal places).

Fill in the blank with the correct response.
What is the scale factor?
3
S
R
ARST - AMNO
5.5 T
6
N
M
X
O

Answers

The scale factor of the dilation of the triangles is 2

What is the scale factor of the dilation?

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

Read more about scale factor at

https://brainly.com/question/29229124

#SPJ1

Can some please help me on this?

Answers

Combine like terms !
3(2x+4y)=
6x+12y <—- answer
3 • 2 is 6
3• 4 is 12

Find 2/3 and 1/6 in it simplest form, the fraction which is exactly half way between

Answers

The fraction which exactly half-way between the fractions "2/3" and "1/6", expressed in simplest-form is "5/12".

To find the fraction exactly halfway between 2/3 and 1/6, we first convert the given fractions to fractions with a common denominator.

So, 2/3 = 8/12  and 1/6 = 2/12,

Now we have the fractions "8/12" and "2/12".

To find the fraction exactly halfway between them, we take their average.

So, Average of "8/12" and "2/12" is

⇒ (8/12 + 2/12)/2,

⇒ 5/12.

Therefore, "5/12" is the fraction exactly halfway between 2/3 and 1/6.

Learn more about Fraction here

https://brainly.com/question/13349591

#SPJ4

The given question is incomplete, the complete question is

Find the fraction which is exactly half way between 2/3 and 1/6 in it simplest form.

Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points)






Step 3: Find the inverse of g(x)=x-2/5. What does this tell you about the relationship between f(x) = 5x + 2 and g(x)? Show your work. (3 points)

Answers

The inverse of the function is g(x) = ( x - 2 )/5 and f(x) = 5x + 2 and g(x) = x - 2/5 are inverse functions of each other

Given data ,

Step 1:

Let the function be represented as f ( x )

Now , f(x) = 5x + 2 as an equation with the variable x:

f(x) = 5x + 2

Step 2:

Switch the variables in the equation from Step 1 and solve for y

Switching x and y:

x = 5y + 2

x - 2 = 5y

Dividing both sides by 5

y = (x - 2)/5

So, the equation with y as the variable is y = (x - 2)/5

Step 3:

Now , the inverse of g(x) = x - 2/5 and f(x) = 5x + 2

The inverse of a function g(x) is denoted as g⁻¹(x) and it is obtained by interchanging x and y and solving for y

Given g(x) = x - 2/5, we can switch x and y:

x - 2/5 = g^(-1)(x)

Now, we can solve for y by isolating it on one side of the equation

x - 2/5 = y

Hence , the inverse of g(x) is y = ( x - 2 )/5

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ1

1,6kg of bananas costR36,80 what is the cost of 1kg of bananas ?

Answers

Answer:

R23

Step-by-step explanation:

1.6kg of bananas= R36.80

1kg= 36.80×1/1.6

= R23

which of the following statements appropriately describe theoretical hypotheses? check all that apply. a theoretical hypothesis is a hypothesis that can never be proved, but only confirmed. a theoretical hypothesis is a hypothesis that attempts to provide an explanation for a scientific question or phenomenon. a theoretical hypothesis is a hypothesis that can be proved with empirical evidence. a theoretical hypothesis is a hypothesis that can be proved by evidence from observation.

Answers

A theoretical hypothesis is a hypothesis that attempts to provide an explanation for a scientific question or phenomenon by proposing a theoretical framework or model. (option b).

Theoretical hypotheses are often used in scientific research to guide investigations and to help researchers make predictions about what they expect to observe. They are essential to the scientific method because they provide a basis for developing testable predictions and designing experiments to confirm or reject them.

A theoretical hypothesis is a hypothesis that attempts to provide an explanation for a scientific question or phenomenon.

This statement is accurate. As discussed earlier, a theoretical hypothesis is a type of hypothesis that proposes a theoretical framework or model to explain a scientific question or phenomenon.

Therefore, statement b is the most accurate description of a theoretical hypothesis.

To know more about hypothesis here

https://brainly.com/question/29576929

#SPJ4

options:
-x=2
-y=6
-y=8.1
-w=3.8
-kh=7.6
-kn=6.3
-kr=10.6

Answers

The statements that are true based on the variables around the centroid are; 1)The value of x is 2, 2)The value of y is 6 and 3) The length of KH is 7.6

How do we find the values of x and y and the lengths of the lines around the centroid?

To find the value of y with the information provided about the various lengths around centroid,

KW : KR - 1:2

(2y - 8.9)/ (0.5y + 3.2) = 1/2

4y - 17.8 = 0.5y + 3.2

3.5y = 21

y =21/3.5

y = 6

KR = 0.5 × 6 + 3.2 = 6.2.

KT : KW = 1/2

7.1 x - 11. 8/ 5x - 5.2 = 1/2
14.2x - 23.6 = 5x -5.2

9.2x = 18.4

x = 2

KW = 5 × 2 - 5.2 = 4.8

KD : KH = 1/2

9w - 23.2/ 4.5w - 5.9 = 1/2

18w - 46.4 = 4.5w -5.9

13.5w = 40.5

w = 3

KH 4.5 x 3 - 5.9 = 7.6

The length of KN

KN = (5x - 5.2)

KN = (5 × 2 - 5.2)

KN = 4.8

Find more exercises on centroids;

https://brainly.com/question/10708357

#SPJ1

Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to
paint the room and put in new flooring. The room is rectangular, with dimensions of (160 feet (length) by \(13\frac(1)
(210) feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows.
Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not
Including the cost of labor or other related materials. She was given the following information by the local flooring store
where she is purchasing the carpet.
She is required to purchase a plece of carpet which includes a 3-inch overlap on all sides. Labor and material costs
will relate to the area of this plece.
The labor costs are $23 per hour, per person.
A two-person carpet crew can lay 50 square feet of carpet each hour.
The crew that will complete the job at Charlotte's house will be a four-person crew.
There is an additional $75 fee to cover the cost of equipment, materials, and supplies.
What are the dimensions of the plece of carpet that Charlotte must purchase? Note: Express your answer as a decimal
number and do not round.

Answers

Answer:

The dimensions of the piece of carpet that Charlotte must purchase is 160.5 feet by 13.5 feet, and the total cost of the carpet, including labor and materials, is $5088.95

Step-by-step explanation:

To determine the dimensions of the piece of carpet that Charlotte must purchase, we need to add the overlap to the length and width of the room.

The overlap is 3 inches, which is 0.25 feet (since there are 12 inches in a foot and 3/12 = 0.25).

So the length of the piece of carpet needed is 160.5 feet (160 + 0.25 + 0.25), and the width is 13.5 feet (13.25 + 0.25 + 0.25).

To find the area of the piece of carpet needed, we multiply the length by the width:

160.5 feet x 13.5 feet = 2166.75 square feet

Now we need to add the extra area needed for the overlap, which is:

0.25 feet x 0.25 feet x 4 (since there are 4 sides) = 0.25 square feet

So the total area of the piece of carpet needed is:

2166.75 square feet + 0.25 square feet = 2167 square feet

To determine the labor and material costs, we need to find the area of the plece (piece) of carpet, including the overlap.

The labor costs are $23 per hour, per person, and the crew can lay 50 square feet of carpet each hour. So the total labor cost will be:

4 people x $23 per hour per person = $92 per hour

To determine how many hours it will take to lay the carpet, we divide the total area of the plece by the rate at which the crew can lay carpet:

2167 square feet ÷ (4 people x 50 square feet per hour) = 10.835 hours

We will need to round up to the nearest whole number since the crew cannot work for a fraction of an hour. So it will take 11 hours to lay the carpet.

The cost of materials will be:

2167 square feet x $1.85 per square foot = $4001.95

The cost of labor and materials will be:

11 hours x $92 per hour = $1012

$1012 + $4001.95 + $75 equipment/materials/supplies fee = $5088.95

Therefore, the dimensions of the plece of carpet that Charlotte must purchase is 160.5 feet by 13.5 feet, and the total cost of the carpet, including labor and materials, is $5088.95.

A box of fruit candy contains 50 candy pieces in five different colors: red, orange, yellow, green, and purple. willy opened the box and found that 22% , percent of the candy pieces are purple. if the box willy opened is representative of that particular brand of fruit candy, what best estimates the total number of non-purple candy pieces in 36 boxes of the same candy?

Answers

Answer: 1,404 Non-Purple Candies

Step-by-step explanation:

First, you must figure out how many are non-purple in the box of 50:

50*0.22=11

Then, you must figure out how many are NOT purple:

50-11=39

Next, since you are trying to calculate how many non-purples are in 36 boxes of that candy, you must multiply the number of non-purple found in 1 box by 36:

39*36= 1404

So, there are 1,404 Purple Candies in 36 Boxes of Candy (approximately)

The best estimate for the total number of non-purple candy pieces in 36 boxes of the same candy is 1,404.

If 22% of the candy pieces in one box of fruit candy are purple, then 78% (100% - 22%) of the candy pieces are non-purple. To find the best estimate of the total number of non-purple candy pieces in 36 boxes of the same candy, we need to use proportions.

Let x be the total number of candy pieces in one box of fruit candy. Then, the number of non-purple candy pieces in one box is 0.78x. Therefore, the total number of non-purple candy pieces in 36 boxes is:

36 boxes x 0.78x non-purple candy pieces per box = 28.08x non-purple candy pieces

To find the value of x, we can use the fact that the box contains 50 candy pieces in total. Therefore:

22% of x = 0.22x purple candy pieces
78% of x = 0.78x non-purple candy pieces
Total number of candy pieces = 50

Using these equations, we can solve for x:

0.22x + 0.78x = 50
1x = 50 / 0.78
x = 64.1 (rounded to one decimal place)

Therefore, each box contains approximately 64 candy pieces. And the total number of non-purple candy pieces in 36 boxes is:

28.08x non-purple candy pieces = 28.08 x 64.1 = 1802.728 non-purple candy pieces

So the best estimate for the total number of non-purple candy pieces in 36 boxes of the same candy is 1803 (rounded to the nearest whole number).


Let's use the terms you've provided to solve the problem step-by-step.

Step 1: Determine the number of purple candies in one box.
22% of the 50 fruit candy pieces are purple. To find this, multiply 50 by 0.22 (the decimal equivalent of 22%):
50 * 0.22 = 11 purple candy pieces

Step 2: Determine the number of non-purple candies in one box.
There are 50 fruit candy pieces in total. Subtract the 11 purple candies to find the number of non-purple candies:
50 - 11 = 39 non-purple candy pieces

Step 3: Estimate the total number of non-purple candies in 36 boxes.
To find this, multiply the number of non-purple candies in one box (39) by the number of boxes (36):
39 * 36 = 1,404

So, the best estimate for the total number of non-purple candy pieces in 36 boxes of the same candy is 1,404.

Learn more about proportions at: brainly.com/question/30657439

#SPJ11

The probability of you getting accepted to your preferred college and receive a scholarship is 13/25, The probability that you get accepted to your preferred college is 18/25. What is the probability that you receive a scholarship, given that you are accepted to your preferred college?

Answers

Answer:

We can use the formula for conditional probability to solve this problem:

P(Scholarship | Accepted) = P(Scholarship and Accepted) / P(Accepted)

We know that P(Accepted) = 18/25 and P(Scholarship and Accepted) = 13/25 (from the given information). Therefore:

P(Scholarship | Accepted) = (13/25) / (18/25) = 13/18 or approximately 0.722

So the probability that you receive a scholarship, given that you are accepted to your preferred college, is about 0.722 or 72.2%.

Step-by-step explanation:

In circle

L,


=
9
LM=9 and the area of shaded sector =
27

27π. Find the length of



MN

. Express your answer as a fraction times

π.

Answers

The requried length of the arc MN is evaluated as 6π.

From the figure,
The area of the shaded sector is given as:

A = ∠NLM/360×πr²

27π= ∠NLM/360×π9²
∠NLM = 120

Now,

length MN = 120/360*2πr

                  = 1/3×2π×9
                  = 6π

Thus, the requried length of the arc MN is evaluated as 6π.

Learn more about the area of a sector of the circle here:

https://brainly.com/question/29098110

#SPJ1

The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has a master's degree is chosen at random, what is the probability that they are aged 40 or over? Round your answer to the nearest thousandth.
Note: pls help me asap!! This is due by 11:59pm tonight

Answers

The probability that a person aged 40 or over has a master's degree is 6.15%

Given is table showing the educational qualification of a residential area, we need to find the probability that person aged 40 or over has a master's degree,

P(E) = favorable outcome / total outcome

P(person aged 40 or over has a master's degree) = 475+699 / 19076
= 1174 / 19076

= 0.06154

= 6.15%

Hence, the probability that a person aged 40 or over has a master's degree is 6.15%

Learn more about probability, click;

https://brainly.com/question/30034780

#SPJ1

Clara needs to separate her pizza dough
into equal pieces by mass and roll out the
dough to be a certain thickness. Which
metric tools and units should Clara use to
check?

Answers

Answer:

Step-by-step explanation:

tg

A conceptual model that helps strategists choose between seeking internal development, entering into an alliance, or acquiring new resources, capabilities, and competencies is called the " framework. a) build-borrow-or-buy b) organic growth c) internal-versus-external growth d) capability development

Answers

Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

To know more about costs visit :

https://brainly.com/question/30045916

#SPJ11

(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

To learn more about Second: visit

https://brainly.com/question/24237610

#SPJ11

Need help getting the answers, the ones I answered i am not sure if they are right or not

Answers

Answer:

  See attached

Step-by-step explanation:

Given trapezoids with midlines, you want to find various values in the figures shown.

Midline

The length of a midline of a figure is the average of the parallel edges. That means ...

twice the midline is the sum of the outer edgeseither outer edge is the difference of twice the midline and the other edge

These relations are used in solving the figures shown. Work and results are given in the attachment.

Which inequality is represented by this graph?

A: y/2 >4-x
B:y>4-x/2
C:y<4-x/2
D:y/2<4-x

Answers

An inequality that is represented by this graph include the following: C. y ≤ (4 - x)/2.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 3)/(2 + 2)

Slope (m) = -2/4

Slope (m) = -1/2.

At data point (2, 1) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = -1/2(x - 2)

y = -x/2 + 1 + 1

y = -x/2 + 2

y ≤ (4 - x)/2 (since the solid line is shaded below)

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

Simplify (7j3 - 2) + (5j3 - j - 3)

Answers

The simplified expression of (7j³ - 2) + (5j³ - j - 3) is 12j³ - j - 5.

To simplify the expression (7j³ - 2) + (5j³ - j - 3), we first combine like terms. The like terms are the ones with the same power of j.

The terms with j³ are 7j³ and 5j³, which add up to 12j³.

The terms with j are -j and -j, which add up to -2j.

The constant terms are -2 and -3, which add up to -5.

(7j³ - 2) + (5j³ - j - 3) = 7j³ + 5j³ - 2 - j - 3 (grouping like terms)

= 12j³ - j - 5 (combining like terms and simplifying)

Therefore, the simplified expression is 12j³ - j - 5.

A simplified expression is an expression in which all like terms have been combined and any unnecessary parentheses or symbols have been removed

learn more about simplified expression here:

https://brainly.com/question/723406

#SPJ1

What is the value of of 3 1/4 - 1 7/8

Answers

Answer:

The solution is 11/8

Step-by-step explanation:

3 1/4 - 1 7/8

= 13/4 - 15/8

= 26-15/8

= 11/8

The spinner face shown is divided into 8 equal sections. 1, 2, 1, 2, 4, 2, 5, 3. The arrow on this spinner is spun once. What is the probability that the arrow will land on a section labeled with a number greater than 3?​

Answers

Answer: 1/4

Step-by-step explanation:

There are 8 possible outcomes

there are 2 possible times that the number is greater than 3

so you have a 2 out of 8 chance of getting a number greater than 3

2/8=1/4

brainliest, multiple choice, and 100 points! i really appreciate the help, and please let me know if you need help on anything, thanks!!

Answers

Answer:

Triangle congruence cannot be determined with the given information.

A carpenter is framing windows in a house he used feet of wood on the project if the windows are all same size how many feet of wood on the

Answers

The total amount of wood needed would be -

X = 2w(l + b).

Assume that the total number of windows made by the carpenter are {w}.

Let the dimensions of each of the window be {l} x {b} respectively.

The total amount of wood needed for one window would be -

x = 2(l + b)

For all the windows, the total amount of wood needed would be -

X = 2w(l + b).

Therefore, the total amount of wood needed would be -

X = 2w(l + b).

To solve more questions on expressions, visit the link-

https://brainly.com/question/30361146

#SPJ1

PLEASE HELP ME I REALLY NEED TO GET MY GRADE UP I INCLUDED THE GRAPH WITH THE QUESTION!!!
Graph f(x) = -2/3x -3
Use the line tool and select two points to graph the line.

Answers

Answer:

Step-by-step explanation:

In the picture are 2 dots connect the line

I plugged in 0 for x and got (0,-3)

then i plugged in -3/2 for x and got (-3/2, -2)

plotted those 2 points and drew a line connecting those 2 dots

danielle bought 3 pounds of ham she wants to make 12 sandwiches how much ham should she put if she wants each sandwich to have the same amount
a 1 1/3 pounds
b 3/4 pounds
c 1/3 pounds
d 3/12 pounds
pls help me on this

Answers

Answer:  1/4. Based on the given conditions, formulate:: 3/12 Cross out the common factor: 1/4.

Step-by-step explanation:

Answer: 3/12

Step-by-step explanation:

Find the area of the regular polygon with the given radius or apothem.

​(Simplify your answer. Type an exact answer using radicals as​ needed.)

Answers

The area of the regular polygon with 4 sides and an apothem of 12 cm is 576 square cm.

The given apothem of the polygon is 12 cm.

The area of a regular polygon with 4 sides (a square):

Area = 2 × apothem × perimeter / 4

Since a square has four equal sides, the perimeter of the square is given by:

Perimeter = 4 × side length

So, the side length by using the formula for the apothem of a regular polygon with 4 sides:

Apothem = side length / 2

Solving for side length, we get:

side length = apothem × 2 = 12 × 2 = 24 cm

Now we can find the perimeter:

Perimeter = 4 × side length = 4 × 24 = 96 cm

Substituting the values of apothem and perimeter in the area formula, we get:

Area = 2 × 12 × 96 / 4 = 2 × 12 × 24 = 576 square cm

Learn more about the polygons here:

https://brainly.com/question/24464711

#SPJ1

3 ft
2.6 ft
4.5 ft
3.5 ft
3.5 ft
2.4 ft
2.4 ft
0.6 ft

Based on the figure, how many square feet of fabric make up the red and blue portions of the
flag?

Answers

The square feet of fabric of the portions in the red and blue portions is 10.05 square feet

Evaluating the square feet of fabric of the portions

The missing figure is added as an attachment

We start by calculating the areas of the portions

The red and blue portions form a trapezoid

So, the area is

Red and blue portions = 2 * 1/2 * (2.2 + 4.5) * 1.5  = 10.05

Hence, the red and blue portions is 10.05 square feet

Read more about area at:

brainly.com/question/21735282

#SPJ1

suppose babies born in a large hospital have a mean weight of 4090 grams, and a variance of 313,600 . if 64 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams? round your answer to four decimal places.

Answers

For a sample of born babies' weight in a large hospital, probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams is equals to 0.5390.

We have a sample of born babies' weight in a large hospital.

Mean of weight = 4090 grams

Variance of weight = 31300

Standard deviations = 560

Sample size or included babies = 64

standard error = [tex]\frac{560}{\sqrt(64)}[/tex] = 70

We have to determine probability that the mean weight of the sample babies would differ from the population mean by greater than 43 grams. Let the population mean would be [tex]\mu[/tex]. Now, the probability, [tex]P ( \bar X - \mu > 43 ) [/tex]. Using Z-score formula, [tex]Z = \frac{X -\mu}{\frac{\sigma}{\sqrt(n)}} [/tex]

Substitute all known values then, z= ± 43/70, z= ± 0.614

P(z<-0.614 or z>0.614) = P(z<-0.614)+ P(z>0.614)

=2 × 0.2695

=0.5390

Hence, required value is 0.5390.

For more information about population mean, visit : https://brainly.com/question/28103278

#SPJ4

at the local supermarket, 2 apples and one orange cost $1.50, while 3 apples and one orange cost $1.95. how much does an orange cost?

Answers

Answer:

The orange is 60 cents.

Step-by-step explanation:

1) Calculate the cost of an apple (45 cents).

2) Take away the cost of the 2 apples from the original problem (45+45=90 cents).

3) You get the cost of 60 cents for one apple.

3A + O - (2A + O) = 1.95 - 1.5
A = 0.45
Now we can substitute this value of A into one of the original equations to solve for O:
2(0.45) + O = 1.5
O = 0.6
Thus, an orange costs $0.60 at the local supermarket.

To find the cost of an orange, we can use the system of linear equations. Let's denote the cost of an apple as "a" and the cost of an orange as "o".

From the given information, we can write two equations:

1) 2a + o = $1.50
2) 3a + o = $1.95

Now, we can solve for "o" using the following steps:

Step 1: Subtract equation 1 from equation 2 to eliminate the "o" variable:

(3a + o) - (2a + o) = $1.95 - $1.50
a = $0.45

Step 2: Substitute the value of "a" back into equation 1 to find the value of "o":

2($0.45) + o = $1.50
$0.90 + o = $1.50

Step 3: Solve for "o":

o = $1.50 - $0.90
o = $0.60

So, the cost of an orange at the local supermarket is $0.60.

Learn more about Equation:

brainly.com/question/29657983

#SPJ11

PLEASE HELPT
Out of 100 seventh and eight grade CAVA student , there wre 35 student that chose Music as their elective course and the rest chose world language . There were a Titian of 55 eight grade student and 50 of them chose world language

Answers

In Seventh grade, 30 students chose Music and 15 students chose World language while in Eight grade, 5 students chose Music and 50 students chose World language.

Simplified solution on linear algebra

Total students is 100

Total students that chose music is 35

Total students that chose world language is 100-35 = 65

Total students in eight grade is 55

Total students in seventh grade is 100-55 = 45

Students in eight grade that chose world language is 50

Students in eight grade that chose music is 55 - 50 = 5

Students in seventh grade who chose music is 35 - 5 = 30 (total students who chose music - number of eighth grade students who chose music)

Students in seventh grade who chose world language = 45 - 30 = 15 (total student in seventh grade - students in seventh grade who chose music)

Learn more about linear algebra here:

https://brainly.com/question/30894110

#SPJ1

Other Questions
who he changed the standard canon of proportion to 1:8 (the length of the head is one-eighth of the body's length). its a fill in the blank on Macbeth pleaseeeee help An energy deficit of approximately ______ total kilocalories will result in the loss of 1 pound of fat. 8. atlantic control company purchased a machine 2 years ago at a cost of $70,000. the machine is being depreciated using simplified straight-line over its 7-year class life. the machine would have no salvage value at the end of year 7, but could be sold now for $40,000. a new replacement machine can be purchased for $80,000. the new machine would be depreciated over 5 years. rapidly changing technology has necessitated this project. delivery and installation charges will amount to $10,000 and net working capital investment of $5,000 will be required at installation. the new machine will not increase sales, but will reduce operating costs by $20,000 per year. the firm's tax rate is 21%. what is the initial outlay for the project? a) ($57,100) d) ($95,000) b) ($35,000) e) ($52,900) c) ($55,000) 9. for the previous problem, what is the annual cash flow for years 1 through 5? a) $17,480 d) $19,650 b) $19,300 e) $16,500 c) $18,600 help me with this please whats the difference between a pet fee, pet deposit and pet rent? before migrating, how much weight can some birds acquire in preparation for their trip? essay with the topic 'Dreaming In The Time Of War' When compared to 50 years ago, the current population of singles looking for relationships is:________ a rectangler prism has a length of 2.5 yards and a width of 1.5 yards and a height of 1.5 yards use cubes with fractional edge lengths of 1/2 yard to find the volume how many cubes are there for the length, width and heigth of the prism and then what is the volume of the prism. HELP SOLVE MY MATH pls After he arrived at Jade Mountain, Darkstalker informed Sunny that she ....O A. could find Tsunami's body floating in the Winding Tail RiverB. must have been descended from his sister, WhiteoutOC. had twenty-four hours to surrender Anemone and MoonD. would die a tragic death, according to his visionsNext soils on top of which of these rock types would you expect to be most at risk for swelling soils. (x+5) x + 3x + 5 + x + 40 2 7x-x+ 25-5 At the end of each year, Richard receives a15% salary increase.After two years, Richard's salary is 34,385.What was his starting salary?Give your answer in pounds ().Starting salarySalary after one yearSalary after two years4 34,385)+15%+15% NEED HELP WILL GIVE BRAINLIEST AND 5 STARS I HAVE 20 MINUTES PLEASE HELP! For this rational function, using proper notation, describe the end behavior of m(x) ssAfter Oliver Cromwell died, what brought back the monarchy. Which equation is represented in the graph shown? parabola going down from the left and passing through the point negative 2 comma 0 and then going to a minimum of 1 comma negative 9 and then going up to the right through the point 4 comma 0 a y = x2 2x 8 b y = x2 2x + 8 c y = x2 + 2x 8 d y = x2 + 2x + 8 g what does adding boron impurities do to silicon? what does adding boron impurities do to silicon? boron acts as an acceptor, i.e. electrons are introduced into the conduction band. boron acts as an acceptor, i.e. electrons are introduced into the valence band. boron acts as a donor, i.e. electrons are introduced into the conduction band. boron acts as an acceptor, i.e. holes are introduced into the valence band. To prepare 0. 20 M NaOH (40. 0 g/mol) you will need to dilute 34 g of NaOH to ____ mL