Answer:
This is GP with the first term of 512 and common ratio of 1/2
The formula for nth term is:
aₙ = 512*(1/2)ⁿThe number of teams after the 4th round:
a₄ = 512*(1/2)⁴ = 32 teamsNumber of rounds to determine the champion:
1 = 512*(1/2)ⁿ2⁰ = 2⁹*2⁻ⁿ0 = 9 - n n = 9 rounds
The table below shows Abigail's earnings on the job.
1 pts
Time (hours) Earnings (dollars)
21
$709.80
23
$777.40
35
$1183
What is the unit rate or Constant of Proportionality shown in this table?
How much money does Abigail earn for each hour that she works?
Answer:
Option (2)
Step-by-step explanation:
In this question we have to calculate the rate of earning or proportionality constant of Abigail.
Since, earning of Abigail (y) ∝ Time worked (t)
y = kt
Here, k = Proportionality constant
From the table attached,
If y = $709.80 and x = 21 hours
709.80 = 21k
k = [tex]\frac{709.8}{21}[/tex]
k = $33.80 per hour
Therefore, rat of earning or proportionality constant is $33.80
Option (2) will be the correct option.
Please helppppppppppp
Answer:
Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.
Step-by-step explanation:
Answer:
Can you give us the drop down answers?
Step-by-step explanation:
14. Enzo needs to buy some sand for his sandbox. He can either buy a
10-pound bag of sand for $18 or a 6-kilogram bag of sand for $20.
a. Which is a better value? Explain.
b. If Enzo needs 18 pounds of sand, what should he buy so that
he spends the least amount of money overall? Explain.
Answer:
A: 6 kilo bag B: He should buy two 10 pound bags.
Step-by-step explanation:
Brainliest?
The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.
What is the rate?The rate is the ratio of the amount of something to the unit.
For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.
Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.
The rate in the first case is written as,
⇒ 18/10
⇒ $1.8 per pound
The rate in the second case is written as,
⇒ 20/6
⇒ $3.33 per kilogram
⇒ $1.51 per pound
The 6-kilogram pack of sand for $20 is a better value.
Then the amount of money for 18 pounds of sand will be given as,
⇒ $1.51 x 18
⇒ $27.18
Thus, the amount of money for 18 pounds of sand will be $27.18.
More about the rate link is given below.
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The product of 9 and the sum of a number and 4.
PLease help
Answer:9*(n+4)
Step-by-step explanation:
Product means multiply
sum means add
We do the sum first
Let n be the unknown number
sum of a number and 4.
(n+4)
now do the product
9*(n+4)
Write the decimal 0.0768 in words
Answer:
seven hundred sixty eight ten thousandths
Step-by-step explanation:
Answer:
Seven hundred sixty-eight ten-thousandths
mark me as brainliest plz
Help with number 3 please :)
Answer:
32
You’re... welcome?
Answer:
32
Step-by-step explanation:
The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.
what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?
Answer:
y = -6/5x - 5
Step-by-step explanation:
Use rise over run to find the slope of the line, and the -5 comes from the y-intercept
i’ll give you brainliest if you help me pleasee
Answer:
2nd im pretty sure hope this helpss :) (:
Step-by-step explanation:
What is the volume of the square pyramid?
please help me i really really really need help please please help me please
9514 1404 393
Answer:
∠4 = 100°
Step-by-step explanation:
This has nothing to do with parallel lines.
Angles 1 and 4 are "vertical angles", hence congruent.
∠1 = ∠4 = 100°
_____
Vertical angles are on opposites sides of the intersection where lines cross.
Where do I put the parentheses in 21-8-6=7
Answer:
around 21-8 so the equation would look like this (21-8)-6=7
Step-by-step explanation:
you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer
PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.
A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.
Answer:
The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Step-by-step explanation:
Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.
a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.
Step-by-step explanation:
we have p=proportion of vegetarian students=0.08
a. FALSE.
for normal approximations we must have np>=5 and n(1-p)>=5
here n=60 so np=60*0.08=4.8 which is less than 5.
hence normal approximation is not applicable.
b. TRUE.
for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p
here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c. FALSE.
here, n=125 which is quite large. hence normal approximation is applicable.
let phat be the sample proportion
then phat approximately follows a normal distribution with E[phat]=p=0.08
and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888
hence standard deviation=sqrt(0.0005888)=0.0242652
hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]
12%=0.12 lies in this effective range.
hence it is not unusual.
In this exercise we have to classify whether the statements are true or false:
a) False
b) True
c) False
d) False
e) False
We have: [tex]p=proportion of vegetarian students=0.08[/tex]
a) FALSE.
For normal approximations we must have:
[tex]np\geq 5 \\n(1-p)\geq 5[/tex]
Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex] which is less than 5. Hence normal approximation is not applicable.
b)TRUE.
For binomial proportion , the distribution is right skewed if :
[tex]1-2p>0 \\ 0.5>p[/tex]
Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.
c) FALSE.
Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:
[tex]E[phat]=p=0.08[/tex]
and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]
Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]
hence effective range of phat is:
[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]
12%=0.12 lies in this effective range. Hence it is not unusual.
d) FALSE.
e) FALSE.
See more about proportion at : brainly.com/question/8704765
A country's population in 1990 was 156 million. In 1996 it was 162 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million. P = Aekt Enter the correct answer.
Answer:
184
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
Step-by-step explanation:
Solve the following equation without using a calculator.
log3(81)=y
Answer:hmmvb
Step-by-step explanation:
write - 5R - 5U in polar form
Answer:
(r,0)
Step-by-step explanation:
5r - 5u = 5(r - u)
Polar time coordinate = 0
So (r, 0)
csc\theta -cot\theta =\frac{sin}{1+cos\theta }
Answer:
Step-by-step explanation:
Left Hand Side
Change to sin(theta) and cos(theta)
csc(theta) = 1/sin(theta)
cot(theta) = cos(theta)/sin(theta)
1/sin(theta) - cos(theta)/sin(theta) Put over Sin(theta) Common denominator
[1 - cos(theta)] / sin(theta) Multiply numerator and denominator by 1 + cos(theta)
(1 - cos(theta)(1 + cos(theta) ) / sin(thata)*(1 + cos(theta))
(1 + cos(theta)(1 - cos(theta)) = 1 - cos^2(theta)
sin^2(theta) / (sin(theta)* ( 1 + cos(theta)
sin(theta) / (1 + cos(theta) )
Right hand Side.
See Above.
If the length of a diagonal of a square is 10 feet what is the length of a side of the square
the answer is 10ft hope I helped
Please help meeeeeeeeeeeeeeeeeeeee
Answer:
64 g
Step-by-step explanation:
Lets gather the Info
Amount needed = 161 g
Amount given = 97 g
Lets form an equation:
161 - 97 = x
x in this case is the number of grams needed to fulfill the amount needed.
161 - 97 = 64 g
He needs 64 g of cheese.
If my answer is wrong pls correct me.
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-Chetan K
Help plz
The commission system and the council-manager system were both new forms of
state government.
municipal government.
federal government.
county government.
Answer: B
Step-by-step explanation:
Answer:
municipal government.
Step-by-step explanation:
solve the proportion for x. 12/x = 15/24
Answer:
i think x is 19.2
Step-by-step explanation:
solve x by cross multiplying
Find the unknown number 3m = 0.27
Answer: 0.09
Step-by-step explanation:
Divide 0.27 by 3
M=.09
A geology teacher takes her class on an annual field trip to analyze rock samples. They use randomized sets of
coordinates to select samples from two regions.
Suppose they examine a sample of 70 rocks from region A, which is composed of 15% igneous rock. Then they
examine a sample of 60 rocks from region B, which is composed of 20% igneous rock. Then they look at the
difference between the sample proportions (PA - B).
What are the mean and standard deviation of the sampling distribution of pA - PB?
A car travels a distance of 190 miles in 4
hours and 45 minutes.
Work out the average speed of the car, in
miles per hour.
Answer:
Speed = 40 miles/hourStep-by-step explanation:
Distance (d) = 190 miles
Time (t) = 4 hr 45 min = 19 / 4 hours
Speed = distance / time
= 190 / (19/4)
= 40 miles/hour
The average speed is the total distance traveled by the object in a particular time interval.
The average speed of the car in miles per hour is 40 miles per hour.
What is an average speed?The average speed is the total distance traveled by the object in a particular time interval.
We have,
Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes
This can be written in hours as:
= 4.75 hours
Average speed:
= Total distance / Total time
= 190 miles / 4.75 hours
Divide both the numerator and denominator by 4.75
= (190/4.75) / (4.75/4.75)
= 40 miles / 1 hour
Thus the average speed of the car in miles per hour is 40 miles per hour.
Learn more about average speed here:
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Jayla had some video games, and then she bought 4 more games. Now she has 10 games.
1) Write the equation that matches this situation.
2) Define the variable.
3) Find the solution.
Step-by-step explanation:
Jalya's video games = x
She bought four more = +4
Now what she has = 10
1. x+4=10
2. The variable x represents the unknown value of the video games Jayla had.
3. x+4=10(Group like terms)
x=10-4
x=6
A circle's radius is 19 inches. What is the circle's area?
Use 3.14 for pi and round your answer to the nearest tenth.
If you get it correct you will get Brainlyst
Answer: 1133.5
Step-by-step explanation:
Answer:
1133.5
Step-by-step explanation:
area = 3.14 (19)square
3.14 (361)
1133.54 ( round nearest ten)
1133.5
Give the most precise name for the quadrilateral. Then, find x and y.
a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20
Answer:
B
Step-by-step explanation:
(2x - 1) + (2x - 1) + 127 + 127 = 360
n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.
(4x - 2) + 254 = 360
4x - 2 + 254 = 360
4x = 360 - 252
4x = 108
x = 108/4
x = 27
6y - 3y = 3y + 7
6y - 3y = 7 + 5
3y = 12
y = 12/3
y = 4
65% of the total number of students are girls and there are 224 boys. find the percent of boys ? find the number of girls?