Answers
The coordinates of point P are (6.4, 18, -12).
What is the coordinate of point?A coordinate of a point refers to a set of values that specify the position of that point in a particular reference system or coordinate system. Coordinates are used to uniquely identify the location of a point in a geometric space, such as a plane or a three-dimensional space.
According to the given information:
To find the coordinates of point P, we can use the concept of vector comparison. We are given that the ratio of vector AB to vector AP is 6:4.
Let's denote the coordinates of point P as (x, y, z).
Given:
AB vector = (10, 2, -6)
B coordinates = (4, 6, -8)
AB:AP = 6:4
We can calculate the coordinates of point P as follows:
Since AB:AP = 6:4, we can express this as a vector equation:
(10, 2, -6) / (x - 4, y - 6, z + 8) = 6/4
Now we can cross-multiply to get:
10 / (x - 4) = 6/4
2 / (y - 6) = 6/4
-6 / (z + 8) = 6/4
Simplifying further, we have:
10(x - 4) = 6 * 4
2(y - 6) = 6 * 4
-6(z + 8) = 6 * 4
Expanding the equations, we get:
10x - 40 = 24
2y - 12 = 24
-6z - 48 = 24
Solving these equations, we get:
10x = 64
2y = 36
-6z = 72
Dividing by the respective coefficients, we get:
x = 6.4
y = 18
z = -12
So, the coordinates of point P are (6.4, 18, -12).
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Related Questions
Find the volume 17.3 10.4
Answers
The volume of the given cone with a height of 17.3 and a diameter of 10.4 is 489.87 cubic cm
The volume of any cone can easily be determined by the formula (pi*r*r)*(h/3) where pi has the value of 3.14, 'r' is the radius of the cone, and 'h' is the given height of the cone.
Here in the given question, we can see that the height(h) given here is 17.3cm and the diameter is 10.4cm with which we can find the radius because we know the radius is the half of diameter so 'r' will be 5.2cm.
Now just putting the values of 'h' and 'r' in the given formula (pi*r*r)*(h/3) we get the volume of the cone which is 489.87 cubic cm.
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Answer:
Step-by-step explanation:
here,
height h= 17.3cm
diameter= 10.4cm
therefore, radius r will be 5.2cm
pi= 3.14
solution:
volume v of cone= 1/3*pi*r2*h
= 1/3*3.14*5.2*5.2*17.3 cm3
= 489.7 cm3
explanation:
here, it is given that the height is 17.3cm and the radius is 5.2cm. we know that the formula for finding the volume of a cone is 1/3*pi*r2*h.
Henry is saving up to buy a new jacket. He already has $95 and can save an additional $5 per week using money from his after school job. How much total money would Henry have after 10 weeks of saving? Also, write an expression that represents the amount of money Henry would have saved in w weeks
Answers
An expression that represents the amount of money Henry would have saved in w weeks is $95 + ($5 x w)
Henry already has $95, and he can save an additional $5 per week. So after one week of saving, Henry would have a total of $100 ($95 + $5). After two weeks, he would have $105 ($100 + $5), and so on.
To find out how much total money Henry would have after 10 weeks of saving, we can use the same method. After 10 weeks, Henry would have saved a total of $145 ($95 + ($5 x 10)). So, Henry would have a total of $145 after 10 weeks of saving.
Now, let's talk about an expression that represents the amount of money Henry would have saved in w weeks. We can use the formula:
Total amount saved = $95 + ($5 x w)
This formula takes into account the $95 that Henry already has, and the additional $5 he can save each week. The "w" in the formula represents the number of weeks Henry has been saving for. By plugging in different values of "w", we can determine how much money Henry would have saved at different points in time.
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Order the following numbers from biggest to smallest. Explain your method. 0,012 SV 0,637 0,125 0,01 0,9 0,871 0,925 0,87 0,62 (C)
Answers
Answer:
The numbers in order from biggest to smallest are: 0.925, 0.9, 0.871, 0.87, 0.637, 0.62, 0.125, 0.012, and 0.01.
Step-by-step explanation:
To order these numbers from biggest to smallest, I compared the digits in each decimal place starting from the tenths place. For example, the number with the largest digit in the tenths place is 0.9. If two or more numbers have the same digit in the tenths place, I then compared the digits in the hundredths place and so on until I found which number was larger.
Use the trading data for Friday, October 20 and Friday, October 27 to answer the questions. ( in the picture)
A) what was the difference between the high and low prices on October 20?
B) on October 27, what was the actual volume of discovery group shares posted? Write the volume in numerals.
C) at what price did discovery group clothes on October 19?
D) use the October 19 closing price from above and the October 20 opening price to find the difference in the prices as a percent increase. Round to the nearest hundredth place.
E) on October 21 discovery group announced that they would close one of their manufacturing plants. This resulted in a drop in their stock price. It closed at $32 express the number change from October 20 to October 21 as a percent rounded to the nearest tenth of a percent.
F) on October 28 discovery group announce that they would not be closing the plant this news cause the price of the stock to rise. It closed at $48.20 express the net change from October 27 to October 28 as a percent, rounded to the nearest tenth of a percent.
G) explain why 52 week high and 52 week low numbers are the same in both charts ?
H) examine the closing price of discover group on October 27 one year earlier one share closed at 30% higher than that amount, what was the closing price one year earlier?
Answers
The difference between the high and low prices on October 20 is $3.33
On October 27, the actual volume of discovery group shares posted is 2360000
How to explain the valueThe price that Discovery group clothes on October 19 is $36.94
The difference in the prices as a percent increase is 0.76%
The number change from October 20 to October 21 as a percent rounded to the nearest tenth of a percentage is -16.9%
The net change from October 27 to October 28 as a percent, rounded to the nearest tenth of a percent is 14.8%
The reason why 52 week high and 52 week low numbers are the same in both charts is that there was no price higher than $76.19 or lower than $22.78 for those weeks.
The closing price one year earlier is $54.60
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If the star Aldebaran rises tonight at 2:00 a.m., when do you expect it to rise next month?
a) 11:00 pm.
b) midnight.
c) 1:00 am. d) 2:00 am. e) 3:00 am
Answers
Your answer is option b)
The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.
Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes
Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours
Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)
Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.
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Find the exact value: tan 13pi/12
(Use the fact that 13pi/12 = 3pi/4 + pi/3
Thanks in advance!
Answers
Answer: the exact value of tan(13π/12) is √3 + 2.
Step-by-step explanation: The trigonometric equation demonstrating the equality between the tangent of 13π/12 and the tangent of 3π/4 added to π/3 may be expressed in the formal and technical tone often employed in academic writing as follows: tan(13π/12) = tan(3π/4 + π/3).
Through utilization of the identity, tan(a+b) = (tan(a) + tan(b)) / (1 - tan(a)*tan(b)), the given expression may be rendered more concise.
The trigonometric expression tan(13π/12) can be represented as (tan(3π/4) + tan(π/3)) divided by (1 - tan(3π/4) multiplied by tan(π/3)).
It is established that:
it can be observed that the value of the trigonometric function of tan(3π/4) is -1.
The mathematical expression "tan(π/3) = √3" signifies that the trigonometric tangent function of the angle π/3 is equivalent to the square root of three.
Upon substitution of the aforementioned values, the resulting output is obtained.
The trigonometric function of tan(13π/12) can be expressed as a quotient between two real numbers. Specifically, it can be represented in the form (-1 + √3) / (1 + (-1) * √3).
By utilizing the conjugate of the denominator and performing the operation of multiplication on both the numerator and denominator, the resulting expression is obtained:
The trigonometric function of tangent evaluated at 13π/12 is expressed as the product of two fractions. The numerator of the first fraction is comprised of the difference of the values -1 and the positive square root of 3, while the denominator is the sum of the value 1 and the product of -1 and the square root of 3. The numerator of the second fraction is the sum of the values 1 and the positive square root of 3, while the denominator is the sum of the same values.
The trigonometric identity expressed as tan(13π/12) has been rendered in symbolic form, wherein the numerator is the summation of -1, √3, √3, and -3. The denominator is the product of (1 + √3) and (1 - √3).
The mathematical expression tan(13π/12) can be represented as (-2√3 - 4) / (-2).
The mathematical expression tan(13π/12) is equivalent to the value of √3 + 2.
on aurora ave the distance between thomas st to denny way is 0.2 miles. what is the distance between these two streets on broad st? show your work below and round your answer to the nearest tenth of a mile.
Answers
The distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).
To determine the distance between Thomas St and Denny Way on Broad St, we can use the Pythagorean theorem.
Let x be the distance between Thomas St and Denny Way on Broad St. We can draw a right triangle where the hypotenuse is 0.2 miles (the distance between Thomas St and Denny Way on Aurora Ave), and one leg is x (the distance between Thomas St and Denny Way on Broad St). The other leg is the distance between Aurora Ave and Broad St.
Using the Pythagorean theorem, we have:
[tex]0.2^2 = x^2 + d^2[/tex]
where d is the distance between Aurora Ave and Broad St.
Assuming d is negligible, we can solve for x:
[tex]x^2 = 0.2^2 - d^2x^2 = 0.2^2x = sqrt(0.2^2) = 0.2[/tex]
Therefore, the distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).
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which of the following probability distribution types has a mean, median, and mode that are all equal? constant symmetric positively skewed negatively skewed
Answers
Answer: B symmetric
Step-by-step explanation:
Since every value in a constant-distribution has the same chance of happening, the distribution is symmetric. The mean and median are both identical to this value because there is only one value, which also makes it the mode.
The mode may or may not be equal to the mean and median for a symmetric distribution, but they are always equal. The mean is often higher than the median and the mode may be lower than the median in a positively skewed distribution. The mode may be higher than the median and the mean is often lower in a negatively skewed distribution.
A constant-probability distribution is a form of probability distribution in which the likelihood of each possible result is the same. In other words, there is an equal chance of each outcome.
Therefore , The Constant-distribution is a sort of probability distribution where the mean, median, and mode are all equal.
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in 2018, in harris county alone, the houston chronicle documented a total of 76 contested judicial races. more than 20 contested district and county judicial races appeared on the bexar county ballots. what is the biggest effect that electing so many public officials has on voters?
Answers
The biggest effect of electing so many public officials is that it can be difficult for voters to make informed decisions.
With so many candidates to choose from, voters may not have the time or resources to thoroughly research each candidate and their qualifications. This can lead to uninformed voting, where voters may simply choose a candidate based on their name recognition, party affiliation, or other superficial factors.
Additionally, contested elections can also lead to an increase in negative campaigning and attack ads, which can further cloud voters' perceptions of the candidates and the issues at stake. Ultimately, electing a large number of public officials can make it harder for voters to feel confident in their choices and can undermine the democratic process.
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Find D and write answer in simplest radical form
Answers
The length or value of d is 3m
What is meant by length?
Length is a measurement of how long something is, typically referring to the longest dimension of an object or space. It is a fundamental physical quantity and can be measured in various units, such as meters, feet, or inches. Length is important in many fields, including mathematics, science, and engineering.
According to the given information
In a right-angled triangle, the side opposite to the 90-degree angle is called the hypotenuse. The side opposite to the 60-degree angle is equal to the hypotenuse multiplied by the square root of 3 divided by 2. Since AC is the hypotenuse and its length is given as 2*(√(3))m, we can find the length of BC (d) as follows:
d = (AC * √(3)) / 2 d = (2 * √(3) * √(3)) / 2
d = 3m
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Select the simplification that accurately explains the following statement. 7 3 = 7 1 3 A.
Answers
The simplification that accurately explains the statement 73 = 713A is A = 73/713
Selecting the simplification that accurately explains the statement.From the question, we have the following parameters that can be used in our computation:
7 3 = 7 1 3 A.
Express properly
So, we have
73 = 713A
Divide both sides of the equation by 713
So, we have
A = 73/713
Hence, the simplification that accurately explains the statement is A = 73/713
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The volumes of two similar prisms are 135 ft^3 and 5000ft^3
a. Find the ratio of their heights.
b. Find the ratio of the area of their bases.
Answers
The ratio of the areas of the bases of the two similar prisms is approximately 26 to 1.
What is the scale factor?
A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Let h1 and h2 be the heights of the two similar prisms, and let A1 and A2 be the areas of their respective bases.
Also, let k be the scale factor that relates the smaller prism to the larger prism.
a. We know that the volumes of the two similar prisms are proportional to the cubes of their corresponding side lengths, so we have:
(kh1)³ / (kh2)³ = 135 / 5000
Simplifying this expression, we get:
h1³ / h2³ = 135 / 5000
Taking the cube root of both sides, we get:
[tex]h1 / h2 = (135 / 5000)^{(1/3)}[/tex]
Using a calculator, we find:
h1 / h2 ≈ 0.405
Therefore, the ratio of the heights of the two similar prisms is approximately 0.405 to 1.
b. The ratio of the areas of the bases of two similar prisms is equal to the square of the scale factor. That is:
A1 / A2 = k²
To find the scale factor k, we can use the fact that the volumes of the two prisms are proportional to k³. Therefore:
k³ = 5000 / 135
k ≈ 5.091
Using this value of k, we get:
A1 / A2 = k² = (5.091)² ≈ 26
Therefore, the ratio of the areas of the bases of the two similar prisms is approximately 26 to 1.
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can yall pls help me?
Answers
Answer:
- w - 24
Step-by-step explanation:
- 4(w + 6) + 3w ← multiply each term in the parenthesis by - 4
= - 4w - 24 + 3w ← collect like terms
= (- 4w + 3w) - 24
= - w - 24
Mr. and Mrs. Johnson took their three children to the movies. If adult tickets cost $7 and children's tickets cost $4, what is the ratio of the total cost of the parents' tickets to the total cost of the children's tickets? Write your answer in the form aib, where a and b are whole numbers.
Answers
Let's assume that Mr. and Mrs. Johnson bought x adult tickets and y children's tickets.
Since there are three children, we know that:
y = 3x
The total cost of the parents' tickets is 7x, and the total cost of the children's tickets is 4y. Substituting y = 3x, we get:
total cost of parents' tickets = 7x
total cost of children's tickets = 4(3x) = 12x
Therefore, the ratio of the total cost of the parents' tickets to the total cost of the children's tickets is:
(7x) / (12x) = 7/12
So the answer is 7/12, which cannot be simplified further. Therefore, the ratio is 7/12, which can be written in the form aib as 0+7/12i.
Answer: 7:6
Step-by-step explanation:
1. There are two adults (Mr. and Mrs. Jonhson) and three children. So let's make adults = y and children = x
2. Adult tickets cost $7. So we are going to multiply 7 x 2y = $14
3. Children's tickets cost $4. So we are going to multiply 4 x 3x = $12
4. The last step is to fully reduce [tex]\frac{14}{12}[/tex] = [tex]\frac{7}{6}[/tex]
5. So the answer is 7:6
Fiona shoots 49 baskets in 10 minutes. The time in minutes, x , is proportional to the total number of baskets, y . Which equation represents the relationship?
Answers
Answer:
Hello thanks for submitting here is the equation commonly known for this type of thing!
Equation y = 12.50x. 2
If you need the answer let me know!
I don’t know how to do this pls help
Answers
Using circle theorems CD = 9.17
What are circle theorems?Circle theorems are theorems that govern circle properties.
Given that form the figure EF = 8, ON = 3 and OM = 2, we need to find CD.
From the figure using Pythagoras' theorem
OE² = ON² + EN²
= ON² + (EF/2)²
= 3² + (8/2)²
= 3² + 4²
= 9 + 16
= 25
OE = √25
= 5
Also, OD² = OM² + DM²
Making DM subject of the formula, we have that
DM² = OD² - OM²
DM = √(OD² - OM²)
Now OD = OE = 5
So, we have that
= √(OD² - OM²)
= √(OE² - OM²)
= √(5² - 2²)
= √(25 - 4)
= √(25 - 4)
= √21
= 4.58
Now CD = 2DM
= 2 × 4.58
= 9.17
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3 At a restaurant, small tables have a chairs, and large tables have b chairs.
Donna notices that there are 12 small tables and 8 large tables.
How can the expression 12a + 8b help her find the total number of chairs in the dining
room? Explain your reasoning.
Answers
Answer:
20 tables
Step-by-step explanation:
12a is the small tables and 8b is the 8 large tables so they are adding it together and getting 20 tables.
PLEASE HELP!! 14 POINTS
The total revenue for a bluetooth speaker (in dollars) is given by R(x)=35x−0. 01x2 where x is the number of units sold. What is the average rate of change in revenue as the number of bluetooth speakers sold increases from 20 to 40 units?
Answers
The average rate of change in revenue as the number of bluetooth speakers sold increases from 20 to 40 units is $34.50 per unit.
To find the average rate of change in revenue, we need to calculate the change in revenue over the change in units sold.
First, let's calculate the revenue for 20 and 40 units sold:
R(20) = 35(20) - 0.01(20)^2 = $670
R(40) = 35(40) - 0.01(40)^2 = $1360
Now we can calculate the change in revenue:
ΔR = R(40) - R(20) = $1360 - $670 = $690
And the change in units sold:
Δx = 40 - 20 = 20
Finally, we can calculate the average rate of change in revenue:
ΔR/Δx = $690/20 = $34.50
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Sally invested some money into a savings account that earns 7. 2%
annual simple interest. At the end of 9 years, she earned $745. 20 in
interest. How much money did she put into the account initially?
Round to the nearest dollar
Answers
According to simple interest, Sally initially put $1,150 into the savings account.
To solve this problem, we need to use the formula for simple interest, which is:
Simple Interest = Principal x Rate x Time
We know that the interest earned is $745.20, the rate is 7.2%, and the time is 9 years. We can plug these values into the formula and solve for the principal:
$745.20 = Principal x 0.072 x 9
$745.20 = 0.648 x Principal
Principal = $1,150
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If the luminosity of a lightbulb is 100 W and the brightness is measured to be 0.01 what is the distance to the lightbulb?
Answers
If the luminosity of a lightbulb is 100 W and the brightness is measured to be 0.01, then we can use the inverse square law to calculate the distance to the lightbulb.
The inverse square law can be expressed as:
B = L/(4πd^2)
where B is the brightness, L is the luminosity, and d is the distance.
Plugging in the given values, we get:
0.01 = 100/(4πd^2)
Solving for d, we get:
d = √(100/(4π*0.01))
d ≈ 15.9 meters
Therefore, the distance to the lightbulb is approximately 15.9 meters.
what percentage of those states do NOT use coal ?
Answers
Answer:
62.5%
Step-by-step explanation:
The number of states do not use nuclear: 20 + 12 = 32
The number of states that do not use nuclear and use coal: 20
so 20/32 = 5/8 = 62.5%
Over the previous three weeks a work center produced 36,43 , and 35 standard hours of work. What is the measured capacity? (10pts) a. 114 standard hours b.36 standard hours c. 38 standard hours d. 43 standard hours e. cannot be determined with this data
Answers
The correct answer is (a) 114 standard hours.
To find the measured capacity of the work center, we need to add up the standard hours of work produced over the previous three weeks.
36 + 43 + 35 = 114
Therefore, the measured capacity of the work center is 114 standard hours.
The answer is (a) 114 standard hours.
To determine the measured capacity of the work center, you need to sum up the standard hours of work produced over the three weeks.
Here's the calculation:
36 standard hours (week 1) + 43 standard hours (week 2) + 35 standard hours (week 3) = 114 standard hours
So, the measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
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The measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
The correct answer is (a) 114 standard hours.
We must tally up the standard hours of work completed during the preceding three weeks in order to determine the measured capacity of the work center
36 + 43 + 35 = 114
Therefore, the measured capacity of the work center is 114 standard hours.
You must total the standard hours of work completed over the course of the three weeks in order to calculate the measured capacity of the work center.
Here's the calculation:
36 standard hours (week 1) + 43 standard hours (week 2) + 35 standard hours (week 3) = 114 standard hours
So, the measured capacity of the work center is 114 standard hours. The correct answer is (a) 114 standard hours.
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What is the equation of the trend line in
the scatter plot?
Use the two yellow points to write the
equation in slope-intercept form. Write
any coefficients as integers, proper
fractions, or improper fractions in
simplest form.
Answers
Answer:
y= 7/3x -7
Step-by-step explanation:
Slope is 7/3 (rise/run or up seven over 3) and when you continue the graph the line will eventually hit your y-intercept at -7
the primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) __________ code on the healthcare claim
Answers
The primary condition for which a patient is receiving care is communicated to the third-party payer through a diagnosis code on the healthcare claim.
The diagnosis code is a standardized code that represents the patient's medical condition or illness as determined by the healthcare provider. These codes are typically based on the International Classification of Diseases (ICD) coding system, which is used worldwide for reporting diagnoses and medical procedures.
By including the appropriate diagnosis code on the healthcare claim, healthcare providers can communicate to third-party payers the reason for the services or procedures provided. This information is essential for processing and reimbursing healthcare claims accurately and efficiently.
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The primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) ICD (International Classification of Diseases) code on the healthcare claim.
The ICD code serves as a standardized system for classifying diseases and health conditions, enabling clear
communication between healthcare providers and third-party payers.
The primary condition for which a patient is receiving care is communicated to the third-party payer through a
diagnosis code on the healthcare claim. Diagnosis codes, also known as ICD codes (International Classification of
Diseases codes), are standardized codes that represent the specific medical condition or disease being treated by the
healthcare provider.
These codes are used to ensure accurate and timely payment for services rendered and to track healthcare utilization
and outcomes.
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1. 42% of the patients of a medical office are male. Of those males, 90% say they are satisfied
with the care they are receiving. What is the probability that a patient selected at random from
this office's patients is a male who is satisfied with the care he is receiving?
2. When asked about their support of two bills, 35% of congressmen supported Bill A, 62%
supported Bill B and 14% supported both.
a. Draw a Venn diagram.
b. Find the probability that a congressman selected at random......
i. supports Bill A or Bill B.
ii. supports Bill A but not Bill B.
iii. supports neither Bill A nor Bill B.
Answers
The probability that a congressman selected at random supports Bill A or Bill B is 0.83.
The probability that a congressman selected at random supports Bill A but not Bill B is 0.21.
The probability that a congressman selected at random supports neither Bill A nor Bill B is 0.17.
How to calculate the probabilityP(Bill A or Bill B) = P(Bill A) + P(Bill B) - P(Bill A and Bill B) = 0.35 + 0.62 - 0.14 = 0.83
ii. The probability that a congressman selected at random supports Bill A but not Bill B is the probability in the Bill A circle that is not in the overlap:
P(Bill A but not Bill B) = P(Bill A) - P(Bill A and Bill B) = 0.35 - 0.14 = 0.21
iii. P(neither Bill A nor Bill B) = P(not Bill A and not Bill B) = 0.17
Therefore, the probability that a congressman selected at random supports neither Bill A nor Bill B is 0.17.
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what value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight? (round your answer to four decimal places.)
Answers
the value of c is 11.165 lbs. This was calculated using the z-score formula, assuming a normal distribution with a mean weight of 10 lbs and a standard deviation of 0.5 lbs. This ensures that 99% of all parcels are at least 1 lb under the surcharge weight.
To find the value of c, we need to use the standard normal distribution and the z-score formula. Since we know that 99% of all parcels are at least 1 lb under the surcharge weight, we can use the z-score associated with the 99th percentile, which is 2.33 (from a z-score table).
The formula for the z-score is:
z = (x - μ) / σ
where x is the weight of the parcel, μ is the mean weight, and σ is the standard deviation.
In this case, we want to find the weight of the parcel that is at the 99th percentile, which is 1 lb under the surcharge weight. Let's call this weight x. We know that the surcharge weight is c, so the weight of the parcel that is 1 lb under the surcharge weight is (c - 1).
Using the z-score formula and substituting the values we know, we get:
2.33 = ((c - 1) - μ) / σ
We want to solve for c, so we need to rearrange the equation:
c - 1 = 2.33σ + μ
c = 2.33σ + μ + 1
We don't know the values of μ and σ, but we can use the fact that the distribution is normal to estimate them. We can assume that the distribution is centered at the mean weight of all parcels, and that the standard deviation is equal to the average difference between the weight of each parcel and the mean weight.
Let's say that the mean weight is 10 lbs, and the standard deviation is 0.5 lbs. Then, we can plug these values into the equation for c:
c = 2.33(0.5) + 10 + 1
c = 11.165
So, the value of c that ensures that 99% of all parcels are at least 1 lb under the surcharge weight is approximately 11.165 lbs.
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students conducted a survey and found out that 18% of their peers on campus go home every weekend but only 3% rides the public transportation. if 100 students were surveyed, can these students use the normal approximation to study the proportion of students in the population who go home every weekend?
Answers
To determine whether the normal approximation can be used to study the proportion of students in the population who go home every weekend, we need to check if the sample size is large enough and if the success-failure condition is met.
Sample size: A commonly used rule of thumb is that the sample size should be at least 10 times the number of successes and failures combined. In this case, the number of students who go home every weekend in the sample is 18, and the number who do not is 82. So the sample size is 100, which is greater than 10 times the number of successes and failures combined.
Success-failure condition: Another assumption for the normal approximation is that the sample proportion is not too close to 0 or 1. In this case, the sample proportion of students who go home every weekend is 18/100 = 0.18, and the proportion who do not is 0.82. Both proportions are between 0.1 and 0.9, so the success-failure condition is met.
Therefore, we can use the normal approximation to study the proportion of students in the population who go home every weekend.
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The volume of a right cone is 168
π
π units
3
3
. If its diameter measures 12 units, find its height.
Answers
Answer:48
Step-by-step explanation:
create an equation that models the total amount that Madison spends on fruit
Answers
Answer:
2.15g + 0.75w = 20.35
Step-by-step explanation:
(no explanation needed)
write 3.6*10^5+4.8*10^4 in scientific notation
Answers
Answer: 3.610^5+4.810^4 in scientific notation is 4.08*10^5.
Step-by-step explanation: The initial step to convert 3.610^5+4.810^4 into scientific notation is to combine the two values.
The sum of 3610 multiplied by 10 to the power of 5 and 4810 multiplied by 10 to the power of 4 is equal to adding 3610 multiplied by 10 to the power of 4 and 4810 multiplied by 10 to the power of 4, resulting in 40.8 multiplied by 10 to the power of 4.
We can convert 40.8*10^4 to scientific notation by shifting the decimal point to the left until there is only one non-zero digit to the left of the decimal, and denoting the number of decimal places moved with a 10 exponent.
Rewording: When you raise 40.810 to the power of 4, the result is 4.0810 to the power of 5 when you add 1 to the exponent. This is equivalent to multiplying 4.08 by 10 and raising it to the power of 5.