Answers
Answer:
n = 3
Step-by-step explanation:
plug in 3 for n in the equation:
Numerator: n + 1 = 3 + 1 = 4
Denominator: 2^n = 2^3 = 2 * 2 * 2 = 4 * 2 = 8
Simplify the fraction. Divide common factors from both the numerator and denominator:
(4/8)/(4/4) = 1/2
1/2 = 1/2 ∴ n = 3
~
Related Questions
On a survey, students reported how many minutes it takes them to travel to school. Here are their responses. 10,13 ,16 5,4 ,14 , Find the mean travel time for these students.
Answers
Answer:
Mean travel time = 10.33 minutes
Step-by-step explanation:
The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:
Mean = Sum of the terms ÷ Number of terms
Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6
Mean = 62 ÷ 6 = 10.33
∴ Mean travel time = 10.33 minutes
N:B 10.33 minutes = 10 minutes + 0.33 minutes
converting 0.33 minutes to seconds
1 minute = 60 seconds
∴ 0.33 minute = 60 × 0.33 = 19.8 seconds
∴ Mean time = 10 minutes 20 seconds
C)
(2a²b)² +3(a²b)²-x²(-3ab)²
Answers
Answer:
7a^4b^2 -9a^2b^2x^2
Step-by-step explanation:
Given (2a²b)² +3(a²b)²-x²(-3ab)²
Recall that (xy)^a = x^a * y^a
Hence (2a²b)² +3(a²b)²-x²(-3ab)²
expanding the expression
= (2^2 *a^2+2 *b^2) + 3(a^2+2*b^2) - x^2(-3^2 * a^2b^2)
= 4a^4b^2 + 3a^4b^2 - x^2(9a^2b^2)
simplify
= 7a^4b^2 -9a^2b^2x^2
You and Mr. Fowles have decided to race each other at the Boston Marathon (26 miles long). Mr. Fowles runs at a steady 4.2 miles per hour. He knows your best time is 3 miles per hour so he gives you a 3 mile lead. When will he catch you? How far behind are you when Mr. Fowles finishes the race? How much longer will it take for you to finish?
Answers
Answer:
The answer is below
Step-by-step explanation:
Speed is the time rate of change of velocity, it is the ratio of distance to time.
Mr. Fowles runs at a steady 4.2 miles per hour. The time taken to cover 26 miles is:
speed = distance / time
time = distance / speed = 26 / 4.2 = 6.19 hour
I run at 3 miles per hour. I was given 3 mile lead, so the remaining distance is 23 miles (26 - 3). The time needed to complete the 23 miles is:
time = distance / speed = 23 / 3 = 7.67 hour
a) Let d be the distance Mr Fowles catches me. Hence:
time = (d + 3)/4.2; also time = d/3
(d + 3)/4.2 = d/3
3d + 9 = 4.2d
1.2d = 9
d = 7.5 miles
He would catch me at 10.5 (7.5 + 3) miles from the starting point.
b) Mr. fowles finishes after 6.19 hour. At that time, the distance is have covered is:
distance = 6.19 * 3 mi/hr = 18.57 mile
Distance behind = 23 mile - 18.57 = 4.43 mile
c) time longer = 7.67 hour - 6.19 hour = 1.48 hour
solve for x , (2x-1)=5(x+1)
no links
Answers
Answer:
x = -2
Step-by-step explanation:
Answer:
x= -2
Step-by-step explanation:
(2x-1)= 5(x+1)
2x - 1 = 5x + 5
-2x -2x
- 1 = 3x + 5
-5 -5
-6 = 3x
-6/3= 3x/3
-2= x
Jack had four Snicker bars and 8 Mars bars. He randomly chose a piece of candy, ate it, then chose another. What is the probability that both candy bars were Snickers?
1/11
1/3
1/2
1/13
Answers
Answer:
1/3
If 4 are snickers and 8 are mars bars then 4/12 would be snickers so when you simplify 4/12 you get 1/3.
(hope this helps)
I need help ring the center, radius, and diameter.
Answers
Answer:
(-2, 5), 6, 12
Step-by-step explanation:
Center: (-2, 5)
Radius: 6
Diameter: 12
help me and explain it
Answers
Answer:
0.5
Step-by-step explanation:
how you would solve this is 5 plus 3 plus 2 which will equal 10 (this ten will be your denominator) after that you look at how many blue sections there are (5). so 5 out of 10 of them are blue so your fraction would be 5/10. then you will reduce the fraction to 1/2. the question wants you to put this in decimal form so you will divide the 1 by 2 so in decimal form this is 0.5.
(8, -2) and (-5, -2)?
Answers
Answer:
6, 7
Step-by-step explanation:
Answer: Distance: 13, Properties: -2
A college professor's compensation package includes
$350-per-month health insurance plan, the total cost a $45-per-month life
insurance plan, and a salary of $65,000 per year. What is the yearly value of
the compensation package?
A. $69,740
B. $64,605
C. $65,395
D. $60,260
Answers
Beth used 1 1/4 tubes of glue on her science project. Each Tube holds 1/3 ounce of paint. Write an equation to represent the situation. How many ounces of glue did Beth use?
Answers
Answer:
5/12 ounces
Step-by-step explanation:
If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces
The students of a high school are 51% males. Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
Answers
Answer:
(b) Probability that a student is male and attends concert = 22.95%
(c) Probability that a student is female and does not attend concert = 29.4%
(d) Probability that a student attends concerts = 42.55%
Step-by-step explanation:
P.S - The exact question is -
Given - The population of a high school is 51% male. 45% of the males and 40% of the females attend concerts.
To find - (a) Make a tree diagram based on the information above.
(b) Find the probability that a student is male and attends
concerts.
(c) Find the probability that a student is female and does not
attend concerts.
(d) Find the probability that a student attends concerts.
Proof -
Let the total population of the high school = 100 x
Given that,
The students of a high school are 51% males
⇒Total males in the high school = 51% × 100 x
= [tex]\frac{51}{100}[/tex] × 100 x = 51 x
⇒Total males in the high school = 51 x
⇒Total females in the high school = 100 x - 51 x = 49 x
Now,
Given that,
Of the students at this high school 45% of males and 40% of females said they regularly attend concerts.
⇒Total number of males that attend the concert = 45% × 51 x
= [tex]\frac{45}{100}[/tex] × 51 x = 22.95 x
⇒Total number of males that attend the concert = 22.95 x
And
Total number of males that do not attend the concert = 51 x - 22.95 x
= 28.05 x
⇒Total number of males that do not attend the concert = 28.05 x
Also,
Total number of females that attend the concert = 40% × 49 x
= [tex]\frac{40}{100}[/tex] × 49 x = 19.6 x
⇒Total number of females that attend the concert = 19.6 x
And
Total number of females that do not attend the concert = 49 x - 19.6 x
= 29.4 x
⇒Total number of females that do not attend the concert = 29.4 x
(a)
The tree diagram is as follows :
(b)
Probability that a student is male and attends concert = [tex]\frac{22.95 x}{100 x}[/tex] × 100 %
= 22.95%
⇒Probability that a student is male and attends concert = 22.95%
(c)
Probability that a student is female and does not attend concert = [tex]\frac{29.4x}{100x}[/tex] × 100%
= 29.4%
⇒Probability that a student is female and does not attend concert = 29.4%
(d)
Probability that a student attends concerts = [tex]\frac{22.95x + 19.6x}{100x}[/tex] ×100%
= [tex]\frac{42.55}{100}[/tex] ×100%
= 42.55%
⇒Probability that a student attends concerts = 42.55%
Am I correct?? Please correct me
Answers
Profit is given by subtracting revenue minus cost:
(RC) (x) = (x² + 5x + 14) - (x²-4x + 5) = x²-x² + 5x - 4x + 14-5 = 5x + 4x + 14 -5 = 9x + 9
Using 5 for x, (RC) (5) = 9 (5) + 9 = 45 + 9 = 54
This is in hundreds of dollars, so it represents $ 5400.
help me please! Eddie and Lisa go on a road trip. When they start driving, the time is 2:02 pm. When the drive ends, the time is 4:15 pm.
How long is the drive?
Enter your answer by filling in the boxes
Answers
415-202=213–>2hr 13 min
Increase 20g by 90%
Answers
Answer:
the answer is 38
Step-by-step explanation:
100-90=190
When written in factored form, 6w^2-11w−2 is equivalent to
Answers
Answer:
(6w+1)(w-2)
Step-by-step explanation:
Answer:
13w - 2
Step-by-step explanation:
6w² - 11w - 2
24w - 11w - 2
13w - 2
What are the opposites of 9, −2.7, 3.35, and 6
1
5
? Enter the answers in respective order, each separated by a comma.
Answers
Answer:
Step-by-step explanation: -9,2,-7,-3,-35, and -6
The balance of Micah's checking account is $648. Micah needs at least $800 in the account to cover his expenses. Write and solve an inequality that tells how much money Micah needs to deposit. Explain why there are infinite solutions to the inequality. PlZZ answer asap
Answers
Answer:
152
Step-by-step explanation:
800-648=152
I need help on solving these problems.
Answers
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
Please help!!!!
Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021
Answers
Answer:
well played ahajkdjajkskdjdhdjskkskfjsiiskfks
PLEASE HELP I HAVE ANOTHER ONE NEEDED DONE if you answered last time lol.
A: Positive Correlation
B: Negative Correlation
C: No Correlation
What type of correlation is show in the scatter plot?
Answers
Answer:
B
Step-by-step explanation:
What number is obtained by increasing 10 10%
Answers
Answer:
11
Step-by-step explanation:
Pretend 10 is 100. 10% of 100 would be 10, therefore 110. Since it's 10 instead of 100, it would be 11.
Step-by-step explanation:
hop it help u ..........
....
A store manager receives a delivery of 10 boxes of lightbulbs. Each box contains 20 lightbulbs. The store manager tests all the lightbulbs in one of the boxes and finds that 4 of them are defective.
Which statement about the lightbulbs in the remaining boxes is best supported by this information?
Between 25 and 50 lightbulbs will be defective.
More than 80 lightbulbs will be defective.
Between 60 and 80 lightbulbs will be defective.
No more than 25 lightbulbs will be defective.
Answers
Can someone help me pls?
I will mark you brainliest
Answers
diameter is 3.864
Explanation in photo below
help with this homework
Answers
2g-g+h-1 when g=5 and h=0
Show your work
Answers
Help pls (8grade math)
Answers
Answer:
It's D. (1,-2)
Step-by-step explanation:
Answer:
The answer is B: (-1, 2)
Step-by-step explanation:
Imagine a mirror is placed along the y-axis.
Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.
Original coordinates: (1, 2)
Mirror coordinates: (-1, 2)
Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?
Answers
Answer:
Raul has greatest batting average. Jaden has least batting average.Step-by-step explanation:
Convert all the batting averages to a single unit so that comparison is easier.
Use percentages.
Jaden batting average:
= 0.214 = 214/1,000 = 21.4%
Raul = 24.3%
Abraham:
= 2 / 9 * 100%
= 22.2%
Mark = 22%
Raul has the greatest batting average.
Jaden has the least batting average.
Someone pls help im new to this so tysm if you do help:D
Answers
Answer:
-6
Step-by-step explanation:
Lins father is paying for a $20 dollar meal he has a 15% off coupon for the mean. After the discount, a 7% sales tax is applied. What does lins father pay for the meal?
Answers
Answer:
$3.21
Step-by-step explanation:
15% off 20 is 17 so 20-17=3
7% of 3 is 0.21 therefore, 3+0.21= $3.21
ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate
Answers
Answer:
The answer is "Choice A"
Step-by-step explanation:
Please find the numbering of the question in the attached file.
Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.