Answer:
i looked it up
Step-by-step explanation:
Every evening for the months of September and October, the following eight Gry ndor students, Harry, Ron, Hermione, Ginny, Fred, George, Seamus, and Dean will play a game of Exploding Snap. Let's suppose that each night, exactly three of them play one game. Can there be a game of Exploding Snap every evening throughout September and October without having the same three Gry ndors play a game twice
Answer:
Yes. There can be 56 games (92%) of Exploding Snap every evening throughout September and October that can be played without having the same three Gry ndors play a game twice.
Step-by-step explanation:
This is a combination game without repetition.
The formula for combination without repetition is:
n! /r! (n - r)!
where n = 8 and r = 3
Therefore, n! /r! (n - r)!
= 8! / 3! (8 -3)!
= 40,320 / 6 (120)
= 40,320 / 720
= 56
There are 30 nights in September and 31 nights in October, totaling 61 nights
This implies that 56/61 games can be played in these two months without repeating the same three gamers.
56/61 = 0.918
= 92%
Instructions
Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space.
Part 1
Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the sun. The sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet Distance from sun (in km) Distance in scientific notation
Mercury 57,909,000
Answer:
We use scientific notation to lessen the load in terms of calculation that must be done. Its often good practice to go to the tenth place.In terms of your question please look at the provided image!Answer:
5.7909 * 10^7
Step-by-step explanation:
Scientific notation uses a number from 1 to under 10 and an integer power of 10.
57,909,000 = 5.7909 * 10,000,000 = 5.7909 * 10^7
Graph h(x) = 2/3x + 4
Answer:
Step-by-step explanation:
Answer:
I replaced x with y because, If it was x there would be no graph
Step-by-step explanation:
a microscope has a scale of 250:1. What does this scale means?
Answer:- Things look 250 larger.
Answer:
2,500x.
Step-by-step explanation:
PLEASE HELP!! I NEED THIS ANSWER TO GET A GOOD GRADE!!!!!
Answer:
-5-4
Step-by-step explanation:
Let me know if I am wrong, if I am I apologize.
Have a good one.
Combine Like terms: 9x + 3x + 4 + 6 *
Answer:
12x+10
Step-by-step explanation:
9x+3x=12x
and
4+6=10
The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
Translations have a certain notation:
If we want to move a point 5 units to the left and then up 9 units we show it like this:
(x-5 , y+9)
Why is the 5 a negative and the 9 positive?
Answer:
Because when your finding a point on the x line going left goes towards the negative side, like a number line. So for the y line think of it like the number line but going up is positive and going down is negative.
so if we wanted to go right 6 units and down 3 units it would written as:
(x+6,y-3) Because going right on the x line is like adding 6 units and going down on the y line is like subtracting 3 units for this example
Step-by-step explanation:
answer asap please!!
Alex has three times as many
cards as David. If the average
number of cards that Alex and
David have is 20, how many cards
does Alex have?
Which of the following equations would produce a parabola? Check all that apply. –5x^2 + 4x – 7y + 14 = 0 –x^2 + 6x + y2 – 8 = 0 9x2 – 12xy + 4y2 + 4x – y + 5 = 0 12x + 6y – 5y2 + 14 = 0 20x2 + 10xy – y2 + 3x – 6y + 5 = 0
Answer:
A= –5x2 + 4x – 7y + 14 = 0
C= 9x2 – 12xy + 4y2 + 4x – y + 5 = 0
D= 12x + 6y – 5y2 + 14 = 0
Step-by-step explanation:
I finished the assignment from Edge2020
The equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
How to identify the type of conic section from an equation?To of identify the type of conic section from an equation whether it is parabola, or not, let suppose the equation as,
[tex]Ax^2+By^2+Cx+Dy+E=0[/tex]
If In this equation,
Either [tex]A=0[/tex] or [tex]B=0[/tex], but not both. Then it is the equation of parabola.
The first equation is,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
There is no square term of y. Thus, this is the equation of parabola.
The second equation is,
[tex]-x^2 + 6x + y^2 - 8 = 0[/tex]
This is not the equation of parabola, as there is two square terms of variable x and y.
The third equation is,
[tex]9x^2 - 12xy + 4y^2 + 4x - y + 5 = 0[/tex]
Similar to the second equation, here is also two square terms of different variable. Thus, it is not a equation of parabola.
The fourth equation is,
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
This equation is the equation of parabola, as there is only a single square term.
The fifth equation is,
[tex]20x^2 + 10xy - y^2 + 3x - 6y + 5 = 0[/tex]
This is now the equation of parabola because of two square terms.
Hence, the equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
Learn more about the conic section here;
https://brainly.com/question/8320698
At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.
The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?
Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?
Answer:
the smallest number of equally sized pieces is 20
Step-by-step explanation:
The computation of the smallest number of equally sized pieces is as follows:
Given that
The sum of 1 by 5 and 3/4
Now
if we sum it
= 1 ÷ 5 + 3 ÷ 4
= 4 + 15 ÷ 20
= 19 ÷ 20
Now as if we do the lcm so the denominator sum be 20
Therefore the smallest number of equally sized pieces is 20
. Complete each statement:
a. Ten thousand is 1 more than _____
b. Ten thousand is 1,000 more than _______
c. Ten thousand is 10 more than________
d. Ten thousand is 100 more than______
WILL GIVE BRAINLIEST PLEASE QUICK
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank Two-fifths of a glass of water every hour for 10 hours. To determine how much water he had, he set up the equation, Two-fifths times 10 ?. What is the total amount of water Yosef drank? StartFraction 1 Over 25 EndFraction of a glass One-fourth of a glass 4 glasses 25 glasses
Answer:
4 glasses
Step-by-step explanation:
im sorry if im wrong
Answer:
4 glasses
Step-by-step explanation:
ur welcome
Please asnerw this pic attached below
Answer:
x = 30
Step-by-step explanation:
Look at triangle LMN.
m<NLM + m<M + m<MNL = 180
90 + m<M + 45 = 180
m<M = 45
Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
<ONM is an exterior angle of triangle KMN.
The remote interior angles are <K and <M.
m<K + m<M = m<ONM
2x + 45 = 105
2x = 60
x = 30
Answer: x = 30
i need help with 2&3
Answer:
2) no
3) yes
Step-by-step explanation:
i think. sorry if im wrong
Answer:
2 No
3 Yes
Step-by-step explanation:
x = ky
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 2 is proportional.
6 = -2k, k = 6/-2, k = -3
7 = -1k, k = 7 / -1, k = -7
8 = 0k, k = 8 / 0, k = 0
9 = k, k = 9
2 is not proportional.
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 3 is proportional.
-70 = -10k, k = -70 / -10, k = 7
-56 = -8k, k = -56 / -8, k = 7
-14 = -2k, k = -14 / -2, k = 7
-7 = -k, k = -7 / -1, k = 7
3 is proportional.
In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient.
Rainfall (in inches) X 8.3 6.6 11.2 103 16.6 8.1 4.8 13.4 13.8
Yield (bushels per acre). y 55.5 512 63.8 64 874 542 36.9 81 83.8
a. 0.900
b. 0.998
c. 0.899
d. 0.981
Answer:
D. 0.981
Step-by-step explanation:
Given :
Rainfall (in inches) X
8.3
6.6
11.2
10.3
16.6
8.1
4.8
13.4
13.8
Yield (bushels per acre). y
55.5
512
63.8
64
87.4
54.2
36.9
81
83.8
Using the Pearson regression Coefficient calculator :
The Regression Coefficient (R) value obtained is 0.9808 = 0.981 wgi h sig ifues a strong positive relationship between inches of Rainfall and bushel yield.
Solve the equation: -7/10 = 3a/4 - 13/20?
Help pleaseeee! Thanks
Answer:
Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
And find the value of a
Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
First we will be Switching sides
[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]
Now, for finding value of a we will be adding 13/20 on both sides
[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]
[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]
Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:
[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]
Now, multiply both sides by 4/3
[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]
So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
please show how to work it out x
Answer:
265.1
Step-by-step explanation:
10% = 0.1
15% = 0.15
0.1(42)(8) + 0.15(14)(15) + 200 = 33.6 + 31.5 + 200 = 265.1 - total amount Adam earned last week.
Can u help??????????????????????????????????????//
Answer:
Okay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answer is 14
Step-by-step explanation:
Folow order of operations and when doing multipactiona or subtraction or division and addition, make sure to go from left to right
Answer:
14
Step-by-step explanation:
Start with the multiplication. It should now look like this: [tex]20 - 15 + 81[/tex] ÷ [tex]9[/tex] Do the division: 81 ÷ 9 = 9Plug 9 in: [tex]20 - 15 + 9[/tex] Solve left to right in steps 5 and 6 below20 - 15 = 55 + 9 = 14So, the answer is 14I hope this helps!
utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
The Data set shows the ages of the members of two clubs.
CLUB A: 42, 38, 40, 34, 37, 46, 38, 45
CLUB B: 30, 44, 42, 61, 24, 27, 59, 65 m
(10 Points)
Find the mean age for CLUB A :
Answer:
it goes by +4 and -4
Step-by-step explanation:
A recipe for rice pudding calls for 2.5 cups of milk. The recipe makes 5 servings. How many cups of milk are needed to make 8 servings?
Step-by-step explanation
2.5 cups = 5servings
x cups = 8servings
2.5*8 = 5*x
20 = 5x
divide both sides by the coefficient of x
20/5 = 5x/5
4 = x
i.e x = 4
Grade 6 - End of term assessment
Question 7
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is
9 feet in length. What is the greatest number of 15-inch pieces the seamstress
can cut from 5 of these rolls of ribbon?
Show your work.
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,
[tex]=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2[/tex]
So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:
[tex]= 5 * 7 =35[/tex]
Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
An ice cream shop offers 3 ice cream flavors 3 types of syrup and 2 toppings for sundaes
Answer: 18
Step-by-step explanation:
If it represents a number does it always represent 40% of number ?
Answer:
No
Step-by-step explanation:
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
Please help with BOTh pics attached below. Since there are 2 i will give braineslt if u solve both of them, if you can only solve 1 that is fine tough
Answer:
[tex]1. x=27\\2. x=30[/tex]
Step-by-step explanation:
[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]
[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]
[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]
[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman.
(a) Determine the linear function p=f(a).
(b) Interpret the slope and p intercept.
(c) Do the values in part b seem reasonable?
(d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answer:
a. [tex]f(a) = -0.03a +1.53[/tex]
b. See Explanation
c. The slope is reasonable but the p intercept is not
d. [tex]f(20) = 93\%[/tex] [tex]f(30) = 63\%[/tex] [tex]f(40) = 33\%[/tex] [tex]f(50) = 3\%[/tex]
Step-by-step explanation:
Given
[tex]a = age[/tex]
[tex]p = probability\ of\ marriage[/tex]
[tex]a = 45[/tex] when [tex]p = 18\%[/tex]
[tex]a = 25[/tex] when [tex]p = 78\%[/tex]
Solving (a): The linear function
We start by calculating the slope, m
[tex]m = \frac{p_2 - p_1}{a_2 - a_1}[/tex]
[tex]m = \frac{78\% - 18\%}{25- 45}[/tex]
[tex]m = \frac{60\%}{-20}[/tex]
[tex]m = -3\%[/tex]
[tex]m = -0.03[/tex]
The function is then calculated as follows
[tex]p - p_1 = m(a - a_1)[/tex]
This gives:
[tex]p - 18\% = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03a +1.35[/tex]
Solve for p
[tex]p= -0.03a +1.35+0.18[/tex]
[tex]p= -0.03a +1.53[/tex]
Hence,
[tex]f(a) = -0.03a +1.53[/tex]
Solving (b): Interpret the slope and the p intercept
The slope is calculated as:
[tex]m = -0.03[/tex]
And it implies that, there is a 3% reduction in change of getting older as women get older
The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.
Solving (c): Is (b) reasonable
The slope is reasonable.
However, the p intercept is not because of the age of the woman
Solving (d): Determine f(20), f(30), f(40), f(50)
We have that:
[tex]f(a) = -0.03a +1.53[/tex]
[tex]f(20) = -0.03 * 20 + 1.53[/tex]
[tex]f(20) = -0.6 + 1.53[/tex]
[tex]f(20) = 0.93[/tex]
[tex]f(20) = 93\%[/tex]
[tex]f(30) = -0.03 * 30 + 1.53[/tex]
[tex]f(30) = -0.9 + 1.53[/tex]
[tex]f(30) = 0.63[/tex]
[tex]f(30) = 63\%[/tex]
[tex]f(40) = -0.03 * 40 + 1.53[/tex]
[tex]f(40) = -1.2 + 1.53[/tex]
[tex]f(40) = 0.33[/tex]
[tex]f(40) = 33\%[/tex]
[tex]f(50) = -0.03 * 50 + 1.53[/tex]
[tex]f(50) = -1.5 + 1.53[/tex]
[tex]f(50) = 0.03[/tex]
[tex]f(50) = 3\%[/tex]