Given:
Point A is located at [tex]-\dfrac{6}{8}[/tex].
Point B is located at [tex]-\dfrac{1}{8}[/tex].
To find:
The distance between points A and B.
Solution:
We know that,
Distance between points A and B = Location of A - Location of B
Using this given values, we get
Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]
[tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]
[tex]=\dfrac{-6+1}{8}[/tex]
[tex]=-\dfrac{5}{8}[/tex]
Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].
[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]
The distance between A and B is [tex]\dfrac{5}{8}[/tex].
Therefore, the correct option is D.
What is AOM under what type of equation?
AOM is under zero, as stated in the sequential equation
Chapter 4
Solve.
1. Two trains leave a station at the same time, heading in opposite directions.
One train is traveling at 80 km/h, the other at 90 km/h. How long will it
take for the trains to be 425 km apart?
Answer:
8850
Step-by-step explanation:
coz the train goes too slowly and lazy
PLEASE MARK ME AS BRAINLIEST
To make a shade of paint called jasper green, mix 4 quarts of green paint with cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
8 quarts
Step-by-step explanation:
no explanation needed this should be correct.
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of per hour. A research study will measure the cost of the new method over a sample production period. a. Develop the null and alternative hypotheses most appropriate for this study. : - Select your answer - : - Select your answer - b. Comment on the conclusion when cannot be rejected. We - Select your answer - conclude that the new method reduces costs. c. Comment on the conclusion when can be rejected. Consider implementing the new method based on the conclusion that it - Select your answer - the mean cost per hour.
Hi, you've asked an incomplete question. The full question reads;
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period.
a. Develop the null and alternative hypotheses most appropriate for this study.
b. Comment on the conclusion when H0 cannot be rejected.
c. Comment on the conclusion when H0 can be rejected
Explanation:
Remember, the null hypothesis usually represents the view the researcher has and that he wants to test or verify, while the alternative hypothesis refers to the opposite expected outcome.
a) Therefore, the null hypothesis is that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.
While the alternative hypothesis is that the newly proposed manufacturing method will not reduce the cost to lesser than $220.
b) When H0 (null hypothesis) cannot be rejected, it means that indeed the research data proved to show that the newly proposed manufacturing method will reduce the mean cost to lesser than $220.
c) When H0 (null hypothesis) can be rejected it means that research data proved to show that the newly proposed manufacturing method would not reduce the mean cost to lesser than the current mean cost of $220. Hence, the manager's proposal would not be accepted.
Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1150 and 1308 grams? (b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.
Answer:
a) 0.2318
b) 0.2609
c) No it is not unusual for a broiler to weigh more than 1610 grams
Step-by-step explanation:
We solve using z score formula
z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following.
(a) What proportion of broilers weigh between 1150 and 1308 grams?
For 1150 grams
z = 1150 - 1387/192
= -1.23438
Probability value from Z-Table:
P(x = 1150) = 0.10853
For 1308 grams
z = 1308 - 1387/192
= -0.41146
Probability value from Z-Table:
P(x = 1308) = 0.34037
Proportion of broilers weigh between 1150 and 1308 grams is:
P(x = 1308) - P(x = 1150)
0.34037 - 0.10853
= 0.23184
≈ 0.2318
(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?
1510 - 1387/192
= 0.64063
Probabilty value from Z-Table:
P(x<1510) = 0.73912
P(x>1510) = 1 - P(x<1510) = 0.26088
≈ 0.2609
(c) Is it unusual for a broiler to weigh more than 1610 grams?
1610- 1387/192
= 1.16146
Probability value from Z-Table:
P(x<1610) = 0.87727
P(x>1610) = 1 - P(x<1610) = 0.12273
≈ 0.1227
No it is not unusual for a broiler to weigh more than 1610 grams
translation: 4 units left and 4 units up
J(−1, −2), A(−1, 0), N(3, −3)
Answer:
(-5,2), (-5,4), and (-1,1)
Step-by-step explanation:
Find the value of x.
(5x-11)
V
(3x - 7)º
Answer:
1222222+1222222
Step-by-step explanation:
and then add doodod
is this relation a function justify your answer
Answer:
D
Step-by-step explanation:
because two points on the x value shouldn't have more that one y value
Una cartulina de 20 pulgadas de ancho por 32 pulgadas de alto será utilizada para colocar un cartel. El margen en la parte superior e inferior será el doble que el margen en los lados. Encuentre el ancho de los márgenes si la parte impresa tendrá un área de 330 pulgadas cuadradas.
Answer:
can I get an english translation
B^2 + 11b + 18 ( Factor the question)
Help please!
Answer:
=b^2+(9+2)b+18
=b^2+9b+2b+18
=b(b+9)+2(b+9)
=(b+9)(b+2)
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.
Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =
A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $
Step-by-step explanation:
The order of the numbers doesn't matter, so we'll use combinations instead of permutations. The number of combinations is:
₄₅C₈ = 215,553,195
So the probability of a ticket having the winning combination is 1 / 215,553,195.
The expected value to the state is:
E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)
E(X) = $19954
The expected value to you is:
E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)
E(X) = -$19954
which function has the same domain as y=2_/x?
Answer:
A. y = square root of 2x
We are given the function
y = 2 √x
We are asked for the function that has the same domain as the given function
First, the domain for the given function is this
{ x | x ≥ 0 }
So, any function that has a domain of x that is equal to or greater than 0. Some examples:
f(x) = √x - 2
f(x) = 5 √x
Joe can drive 194 miles in 4 hours. At the same
rate, how far can he drive in 6 hours.
Answer:
Lets take the miles for 6 hours to be x.
Using cross-multiplication, this problem can be solved.
194 4
x 6
1164 = 4x
x = 291
Therefore, Joe drives 291 miles in 6 hours.
Which of the following equations has exactly one solution?
O A. 4x - 4 + 2x = 6x - 4
O B. 2(4x + 5) = 8x + 10
C. 4x - 8 = 4(x - 4)
O D. 3x + 5 = 2x - 6
Aaron gets paid $152.80 for 8 hours of work. How much does he get paid for
every hour?
Answer:
19.10
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.
Answer: C
Step-by-step explanation:
I just took the quiz and I got it right
Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
What is Complex number?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit
What is Modulus of a complex number?Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin
Given,
Complex number z divides by a second complex number w
To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction
From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w
Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
Learn more about Complex number and Modulus of a complex number here
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g What is the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty?
Answer:
16Step-by-step explanation:
In order to get the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty, we need to calculate the power of the set having four elements. Let the set containing the element be A as shown;
Let set A = {a, b, c, d}
Power of the set P(A) = [tex]2^n[/tex] where:
n is the total number of element in the set. Since we have four elements in the set, n = 4
[tex]P(A) = 2^4\\P(A) = 16[/tex]
This means that the set A have 16 subsets. The subsets of the set are:
{}, {a}, {b}, {c}, {d}, {a, b}, {a, c}, {a, d}, {b, c}, {b, d}, {c, d}, {a, b, c}, {a, b, d}, {b, c, d}. {a, c, d}, {a, b, c, d}.
From all the subsets, it can be seen that intersection of set {a} and {b}, {a} and {c}, {c} and {d} are empty.
Hence the max number of 4-element-subsets of we can select, such that intersection of any 3 of them is empty is 16
The absolute value on number line
what is 3/8 divided by 2/5
Answer:
15/16
Decimal form: 0.9375
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Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T=80+20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges. Who buys the less expensive printer
Answer:
Vanessa, she only needs to buy one ink cartridge according to the question
where Tia has to buy more? I need more info on the question
Step-by-step explanation:
Tia bought less expensive printer.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Vanessa and Tia buy a printer. Vanessa pays $90 for her printer and each replacement ink cartage cost $25. The equation T = 80 + 20c can be used to find the total cost, T, Tia pays for her printer plus C number of ink cartridges.
Equation that represents the cost for Vanessa's printer is -
V = 90 + 25c
Equation that represents the cost Tia's printer is -
T = 80 + 20c
For {c} = 1, the cost for Vanessa's printer is -
V(1) = $115
For {c} = 1, the cost for Tia's printer is -
T(1) = 80 + 20 = $100
Therefore, Tia bought less expensive printer.
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3.22 divided by 2.[tex]3.22 divided by 2[/tex]
Mr. Kiernan decides to purchase a new West Virginia flag for his room that is double
in size of the one he currently has. He purchased the flag for $48.00. In Virginia
Beach, there is a 4.5% sales tax. What is the total cost of the flag, including tax?
Answer:
$50.16
Step-by-step explanation:
There is a sale tax on the item to be purchased, and the tax is 4.5% of the amount of the flag i.e 4.5% × $48.00 = $2.16
After the rate of the sale tax has been changed to dollars, we then add the amount of the sales to the amount of the flag to give the total amount to be paid i.e $2.16 + $48.00 = $50.16
Thank You
Please help I don’t know what to do and I have a whole test on it
Answer:
a
Step-by-step explanation:
<dfh=<ehgfh=hg<dhf=<hgfHow do you write 554.1 in words
Answer:
Five hundred fifty-four and 10/100.
Step-by-step explanation:
I think? I hope this helps :/
4,378 divided by 15help
Answer:
291
Step-by-step explanation:
Answer:291.87
Step-by-step explanation:
Find the simple interest earned after 12 years on $1,350 at an interest rate of 8%.
Answer:
1296$
Step-by-step explanation:
0.08*1350 = 108
108* 12= 1296
Thats the simplest way I can tell you
<3
RedGiven: cos(3x – 180°) = Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, where 0 ≤ x < 180°
Which values represent the solutions to the equation?
{10°, 110°, 130°}
{20°, 100°, 140°}
{30°, 330°, 390°}
{60°, 300°, 420°}
Answer:
A: {10°, 110°, 130°}
Step-by-step explanation:
Did on edge
The solution to the equation is:
10° , 110° , 130°
Given,
cos(3x - 180) = -√3/2
Now,
To solve the trigonometric function,
cos(3x - 180) = -√3/2
Taking inverse of cos,
3x - 180° = [tex]cos^{-1} (-\sqrt{3}/2 )[/tex]
[tex]cos^{-1} (-\sqrt{3}/2 )[/tex] = 150°
3x - 180° = 150°
x = 10°
Hence the solutions of equation is the value of x that satisfies the relation .
x = {10° , 110° , 130° }
Know more about trigonometry,
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Which of the expressions below will have a 8 in the thousandths place of the quotient? Select all that apply.
A) 765.812 ÷ 100
B) 98.14 ÷ 1,000
C) 18.723 ÷ 100
D) 22.38 ÷ 10
Answer:
A
Step-by-step explanation:
What is the slope of the line shown
Answer:
-1/2
Step-by-step explanation:
using rise over run, we can see that we go down one and to the left 2. one divided by two is 1/2 meaning 1/2 is the correct answer.
Marco reads that a honeybee can fly up to 2.548 meters per second. He rounded the number to 2.55. To which place value did Marco round the speed of a honeybee?
Answer: Nearest hundredth
Step-by-step explanation:
