kaitlin is participating in a 5-day cross country biking challenge. She biked for 55,67,56,and 49 miles on the first four days. How many miles does she need to bike on the last day so that her average (mean) is 55 miles per day?

Answers

Answer 1
Final answer:

To find out how many miles Kaitlin needs to bike on the last day to average 55 miles per day over a 5-day biking challenge, we calculate the total intended miles (55*5 = 275 miles) and subtract the total miles already biked (275 - (55+67+56+49) = 48 miles). Therefore, Kaitlin needs to bike 48 miles on the last day.

Explanation:

In the content-loaded problem, Kaitlin is participating in a 5-day cross country biking challenge. She's has already completed biking for four days with distances of 55, 67, 56, and 49 miles respectively. To find out how many miles she needs to bike on the last day for her to average 55 miles per day, we first need to find the total miles she should cover in 5 days.

The total miles intended to be covered in 5 days should be 55 miles/day * 5 days = 275 miles

Then we subtract the total miles covered in the first four days from this. So, 275 miles - (55 miles + 67 miles + 56 miles + 49 miles) = 48 miles

So, Kaitlin needs to bike 48 miles on the last day to achieve an average of 55 miles per day.

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Related Questions

hey can you please help me posted picture of question

Answers

The correct answer is A.

Horizontal shift is obtained by addition/subtraction a number to every occurrence of x in the equation. Addition indicates a shift towards left and subtraction indicates a shift towards right.

So the correct answer is Subtract that number From.

HELP ASAP!!!!!!

Solve and graph the inequalities below.
Describe your graphs using words as illustrated in the sample below.
SAMPLE: Part 1: The solution is x > 5 and x<=9.
Part 2: There would be an open circle on 5 and a closed circle on 9.
Part 3: The shading is between the two numbers. 
Be sure that you have included all three parts when answering each question. "Greater than or equal to" would be typed >=. "Less than or equal to" would be typed <=.
1.) d - 1 > -3 and d + 2 < 5
2.) -3k + 7 > -5 and -7k + 5 < -2
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson.)
4.)x - 4 < 5 or x + 2 > 15
5.) 5x - 4 > 6 or -4x + 5 > 1

Answers

1.) d - 1 > -3 and d + 2 < 5
d-1>-3→d-1+1>-3+1→d>-2
d+2<5→d+2-2<5-2→d<3
Part 1: The solution is d>-2 and d<3. 
Part 2: There would be an open circle on -2 and an open circle on 3.
Part 3: The shading is between the two numbers.

2.) -3k + 7 > -5 and -7k + 5 < -2
-3k+7>-5→-3k+7-7>-5-7→-3k>-12→(-1/3)(-3k>-12)→k<4
-7k+5<-2→-7k+5-5<-2-5→-7k<-7→(-1/7)(-7k<-7)→k>1
Part 1: The solution is k>1 and k<4. 
Part 2: There would be an open circle on 1 and an open circle on 4.
Part 3: The shading is between the two numbers.
 
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson)
-5<2y-3<23→-5+3<2y-3+3<23+3→-2<2y<26→-2/2<2y/2<26/2→-1<y<13
Part 1: The solution is y>-1 and y<13. 
Part 2: There would be an open circle on -1 and an open circle on 13.
Part 3: The shading is between the two numbers.

4.)x - 4 < 5 or x + 2 > 15
x-4<5→x-4+4<5+4→x<9
x+2>15→x+2-2>15-2→x>13
Part 1: The solution is x>9 or x>13. 
Part 2: There would be an open circle on 9 and an open circle on 13.
Part 3: The shading is from 9 to the left and from 13 to the right.

5.) 5x - 4 > 6 or -4x + 5 > 1
5x-4>6→5x-4+4>6+4→5x>10→5x/5>10/5→x>2
-4x+5>1→-4x+5-5>1-5→-4x>-4→(-1/4)(-4x>-4)→x<1
Part 1: The solution is x<1 or x>2. 
Part 2: There would be an open circle on 1 and an open circle on 2.
Part 3: The shading is from 1 to the left and from 2 to the right.

What is the solution to the expression –2 – 3 – (–4)?

Answers

-2-3  gives you -5
so then -5 - (-4) gives you -1 and tha'ts your answer 


The answer is:  " -1 " . 
_________________________________________________________
Note:
_________________________________________________________
We are given the expresssion:
_________________________________________________________
    →  " - 2  −  3 − (−4) " ;  & are asked to find the solution to this expression;

     so we simplify this given expression:
_________________________________________________________

We are only dealing with "subtraction" ; so we go from "left to right", in the order in which they occur; starting with the left.  

{Note that the "parentheses" given in this particular problem does not reflect an operation that we are to perform; so we go with the substraction.}.

  →   " - 2  −  3  =  - 5  "  ;

Then:

      " - 5  − (- 4)   =     ?    "  ;   ←  which is our answer to be solved.
_______________________________________________________
Note:
_______________________________________________________

   →   " - 5  − (- 4)   =   - 5 + 4 " ;  

   →   {since a "negative minus a negative is a postive" }.  
  
          →  {that is;  "subtracting a negative" is "adding a positive" .}.

_______________________________________________________
And  we have: 
_______________________________________________________

     " - 5  + 4   =  - 1  " .
_______________________________________________________
The answer is:  " -1 " . 
_______________________________________________________

2. A,B,C,D ?
3. A,B,C,D ?

Answers

2. (3x -1)(2x²)(3x) = 18x⁴ -6x³

The appropriate choice is
  a)   18x⁴ -6x³


3. (2 cm)(4 cm)(11 cm) = 88 cm³

The appropriate choice is
  b)   88

Find the amount of the discount on a $234 item with a discount of 15%. A. $40.00 B. $23.40 C. $35.10 D. $35.01

Answers

234 * 0.15 = 35.1

Your answer is C. $35.10.
The answer is C.$35.10 because you multiply $234 by .15

find the area of the regular decagon if the apothem is 2.8ft and a side is 1.8ft

Answers

DECA=10, decagon = 10 sides.

since each side is 1.8 long, all 10 sides will be 10*1.8 or 18 units long, so that'd be the perimeter then,

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\ ------\\ a=2.8\\ p=18 \end{cases}\implies A=\cfrac{1}{2}(2.8)(18)[/tex]

Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%


a.
256
c.
3.56
b.
2.56
d.
35.6

Answers

To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
  256% = 2.56
  2.56 + 1 = 3.56

The appropriate choice is ...
  c. 3.56

Answer:

missing value in the table is 3.56

Step-by-step explanation:

Percent              13%          256%        28%     97%

Growth Factor    1.13              ?             1.28      1.97

To find growth factor first we remove the percentage and then we add 1

we are given with 246 %

to remove percentage we divide by 100

[tex]\frac{256}{100} = 2.56[/tex]

To get growth factor we add 1

1+2.56= 3.56

so growth factor is 3.56

missing value in the table is 3.56

Devon wants to know if drinking milk before bed helps teenagers sleep. he chooses 10 friends on his high school basketball team for his study. every night for one month the friends drink a glass of milk before bed and later record how many hours they sleep that night. Describe three reasons why Devon's study design is flawed.

Answers

Three reasons why this design is flawed are that he is only surveying the basketball players. The population sample should include a mix of many teenagers if this is the hypothesis. The second reason this is flawed is that he is only collection data of ten people (whom are his friends), causing possible biased data and not enough evidence with only 10 people. Another flaw is the cup size. How much is each person drinking? Cups come on different sizes, but the amount should be the same for all.

Answer:

The three reasons Devon's study is flawed because:

1. The sample size is very small. You cannot conclude anything based on small samples.

2. Sample is biased as Devon chose basket ball players and such players have proper sleep pattern and waking up pattern as compared to normal people. So, the study cannot be generalized.

3. Devon must have studied their sleep pattern before experimenting also, so that some quantitative data on change is available for conclusion.

Someone help I don't understand this.

Answers

Maybe C, I think not too sure sorry if its wrong
I think it is c as well

Find the length of the arc shown in red. Leave your answer in terms of Pi

Answers

The calculated length of the red arc is 4.71 units

Finding the length of arc DF

From the question, we have the following parameters that can be used in our computation:

Central angle = 30 degrees

Radius = 9 meters

Using the above as a guide, we have the following:

Arc length = central angle/180 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Arc length = 30/180 * 3.14 * 9

Evaluate

Arc length = 4.71

Hence, the length of the arc is 4.71 meters

Where does the graph of the function y=tan(x)
have asymptotes?

Answers

The graph of the function y=tan(x) has vertical asymptotes at odd multiples of pi/2 and periodic asymptotes at even multiples of pi.

The graph of the function y=tan(x) has asymptotes at x-values where the tangent function is undefined. The tangent function is undefined at x-values that are odd multiples of pi/2, such as -pi/2, pi/2, -3pi/2, etc. These x-values are called vertical asymptotes. The graph also has periodic asymptotes at x-values that are even multiples of pi, such as 0, pi, -pi, 2pi, etc. These x-values are called horizontal asymptotes.

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Which of the following is a statistical question?
A.
What is Monica's brother's age?
B.
How many students are attending Jessica's dance class today?
C.
How many pages are there in this book?
D.
How many cars are parked in the parking lot each day?

Answers

I think the ans should be D

Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data. The correct option is D.

What are statistics?

Statistics is the discipline or science of gathering and analyzing vast amounts of numerical data, particularly with the aim of inferring proportions in a whole from those in a representative sample.

In statistics, a large amount of data is collected to gather some sort of information, through which the important decisions can be taken. Therefore, the question that is an example of a statistical question is "How many cars are parked in the parking lot each day?".

Hence, the correct option is D.

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Find the critical value za/2 that corresponds to a 82% confidence level.

Answers

Finding critical value of Z at 82% confidence level:

Step 1: α% = 100%-82% = 18%
Step 2: α = 18% = 0.18
Step 3: α/2 = 0.18/2 = 0.09
Step 4: 1- α/2 = 1-0.09 = 0.91
Step 5: Critical value of Z at 82%confidence level = Z at 0.91 (from Z tables) ≈ 1.34
Final answer:

The critical value (or z-score) that corresponds to a 82% confidence level is approximately ±1.34, which is determined using a standard normal distribution table related to the value calculated from α/2 = 0.09.

Explanation:

To find the critical value za/2 that corresponds to a 82% confidence level, we start by knowing that confidence level (CL) is the area in the middle of the standard normal distribution. We know that CL = 1 - α, hence for this particular question, α = 1 - 0.82 = 0.18, and α/2 = 0.09. The Z score associated with α/2 = 0.09 in the standard normal distribution table, which represents the critical value za/2, is approximately ±1.34.

So for an 82% confidence level, the critical value za/2 is roughly ±1.34.

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Your principal surprises you by buying your class a turtle. He brings the turtle to your class along with a sheet from the pet store titled "Turtle Tank Rule."

*Tank walls must be at least 1 foot tall so the turtle can't climb out.

*There must be at least 400 square inches of floor space for the turtle to walk around on.

Your teacher says the volume of the tank must be smaller than 5000 cubic inches so it doesn't take up too much room in the classroom.

Give the dimensions of a tank that would work for your new turtle. Use words and numbers to explain how your tank satisfies the "Turtle Tank Rules" and your teacher requirements.

Volume of a rectangular prism= length X width X height

Answers

The height of the tank must be at least 1 foot, or 12 inches. We know the floor area (which is length x width) must be at least 400 inches. Therefore these minimum dimensions already tell us that the minimum volume is 400 x 12 = 4800 cubic inches. Since we have a maximum of 5000 cubic inches, the volume must be within the range of 4800 - 5000 cubic inches.

We can set the height at exactly 1 ft (or 12 inches). Then we can select length and width that multiply to 400 square inches, for example, L = 40 inches and W = 10 in. This gives us a tank of dimensions 40 x 10 x 12 = 4800 cubic inches, which fits all the criteria.
Final answer:

To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet certain criteria. You can use the formula for the volume of a rectangular prism to find the dimensions.

Explanation:

To satisfy the 'Turtle Tank Rules' and your teacher's requirements, the tank dimensions must meet the following criteria:

The tank walls must be at least 1 foot tall.The tank floor must have a minimum of 400 square inches of space.The volume of the tank must be smaller than 5000 cubic inches.

Let's assume the tank has length, width, and height as its dimensions. By using the formula for the volume of a rectangular prism (Volume = length * width * height), we can manipulate it to find the dimensions:

Choose a reasonable value for the height (for example, 6 inches).Calculate the area of the tank floor by dividing 400 square inches by the chosen height.Find the length and width that multiply to give this area while satisfying the volume requirement of less than 5000 cubic inches.

hey can you please help me posted picture of question

Answers

The parent function y = x⁴ has its base at the origin which means, its x-intercept is at the origin.

Comparaing the given graph with the graph of x⁴, we can say the given graph can be obtained by shifting x⁴ by 2 units to the right.

A shift in right direction can be obtained by subtracting a number from the x. The shift is 2 units, so the above graph can be obtained by following expression:

F(x) = (x-2)⁴ 

Thus, option D is the correct answer
Horizontal translations
 Suppose that h> 0:
 To graph y = f (x-h), move the graph of h units to the right.
 We have then that the original function is:
 G (x) = x ^ 4
 The new function is:
 F (x) = (x-2) ^ 4
 Answer:
 
F (x) = (x-2) ^ 4
 
option D

I need help on this question

Answers

the awnser is 66 the awnser is 66

The Volume of the cone shown is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3 cubic inches?

Answers

we know that
 [volume of the cone]=(1/3)*area of the base*height
h-----> height 
AB-----> area of the base
so
[volume of the original cone]=(1/3)*AB*h
volume=6 in³
(1/3)*AB*h=6--------> h=18/AB

For a cone with the same base diameter but a volume of only 3 cubic inches
(1/3)*AB*h=3 in³-------> h=9*AB

the answer is
The new cone height is half the original height

Answer:

3 cubic inches

Step-by-step explanation:

Using the formula, volume of the cone.

Subst. the known value of into the equation.

Thus, the volume of cone= 1(3)= 3 cubic inches.

Write 760% as a decimal and as a simplified fraction

Answers

7.6

760/100

76/10

7 6/10

Final answer:

760% can be expressed as a decimal by simply dividing by 100, resulting in 7.6. The same percent can be expressed as a simplified fraction by writing it over 100 and simplifying, resulting in 38/5.

Explanation:

To convert 760% into a decimal and a simplified fraction, we follow the process of converting percents. First, to convert a percent to a decimal, we need to divide the percent by 100. So 760% becomes 7.6 when expressed as a decimal.

Then, to convert the percent to a simplified fraction, we write the percent as a fraction over 100. So, 760% would be written as 760/100. But it can be simplified. Both 760 and 100 can be divided by 20, so when simplified the fraction becomes 38/5.

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Take a look at the figure. What is the value of y? A. y = 16 B. y = 64 C. y = 14 D. y = 32

Answers

[tex] \sqrt{2y} +3=11[/tex]

[tex] \sqrt{2y} =11 -3[/tex]

[tex] \sqrt{2y} =8[/tex]

square both sides

2y = 64

∴ y = 64/2 = 32

The answer is option D. y = 32

Every 6 months Reuben lopez puts 420$ into an account paying 10% compounded semiannually. Find the account balance after 15 years.

Answers

Fv=420×(((1+0.1÷2)^(2×15)−1)÷(0.1÷2))
Fv=27,904.32

The above question is related to the future value of an amount saved at regular intervals.

We need to find the future value of the $ 420 saved every six month which are compounded semi-annually.

When the compounding is semi-annually, the same is divided by 2 and the time is multiplied by 2.

The future value will be calculated as -

Future value = $ 420 × FVIFA for 30 years @ 5 %

Here, the annual rate was 10 % but since compounding is semi-annually, thus it is divided by 2. Similarly, time is multiplied by 2 i.e 15 years X 2 = 30 periods

Referring the FVIFA table, we got -

FVIFA for 30 years @ 5 % = 66.4388

Future value = $ 420 × 66.4388 = $ 27,904.30



Credit card A offers an APR of 27.29%, compounded monthly, while credit card B offers an APR of 27.12%, compounded daily. All else being equal, which card offers the better deal for the consumer?

Answers

Credit card A, because it's effective interest rate is about o.16% less than that of credit card B.

The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate. The card which offers a better deal to the customer is Credit card A.

What is an effective rate of interest?

The effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate, is the interest rate on a loan or financial product that is restated from the nominal interest rate and expressed as the equivalent interest rate if compound interest was payable annually in arrears. It is calculated by the formula,

EIR = [1+(i/n)]ⁿ - 1


The effective rate of interest on Credit Card A is,

Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2729/12)]¹² - 1 = 30.97%

The effective rate of interest on Credit Card B is,

Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2712/365)]³⁶⁵ - 1 = 31.14%

Since the effective rate of Credit card A is less than credit card B, therefore, the card which offers a better deal to the customer is Credit card A.

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Which set of coordinates, when paired with (3, −3) and (10, −3), result in a square? (−3, −3) and (−10, −3) (3, 10) and (10, 3) (−3, 4) and (−10 , 4) (3, 4) and (10, 4)

Answers

I believe the answer would be ( 3,4) and (10,4)

Jeff put a small box that is 12 inches long, 8inches wide, and 4 inches tall inside a box that is 20 inches long, 15 inches wide and 9 inches high. How much space is left in the larger box?

Answers

Formula 

V is H×L×W
small box details are 12 inches long, 8 inches wide, and 4 inches tall therefore using the formula given, 12 × 8 × 4 gives you 384 inches ³
big box details are 20 inches long, 15 inches wide, and 9 inches high there using the formula given, 20 × 15 × 9 gives you 2700 inches ³
cubed to the 3rd? because there are 3 numbers instead of 2
so, you're left to subtract with what you gotten 2700 - 384 gives you 2316 inches cubedhope that was helpful

A single fair die is tossed. find the probability of rolling a number greater than 55.

Answers

0% no # greater than 6

Which expression is equivalent to -6(3x-2/3)?
A) -2x + 9
B) -3x - 6 2/3
C) -18x + 12
D) -18x + 4

Answers

Hello!

-6(3x - 2/3)

Distribute the -6

-18x + 4

The answer is D) -18x + 4

Hope this helps!

Answer:

D hope this helps have a wonderful safe day

Step-by-step explanation:

Q #4
[tex] < 6 < 1 < 2 < 4[/tex]

Answers

The interior angel of 7 will be angel 4
∠7 + ∠4 = 180°

Which expression is equivalent to 24 - (-6), minus, left parenthesis, minus, 6, right parenthesis?

Answers

For this case we have the following expression:
 24 - (-6)
 Rewriting we have:
 = 24 + 6
 = 30
 Answer:
 
An expression that is equivalent to 24 - (-6), minus, left parenthesis, minus, 6, right parenthesis is:
 
30
 
or equivalently:
 
24 + 6
the answer for this is going to be 26+3

A printer can print 27 pages in 4.5 minutes. How much time does it need to print 324 pages?

Answers

27 pages/4.5 mins = 324/n

Now, solve for n.

N=54

So, 54 minutes is the answer!

Ethan made 14 out of 25 foul shots at basketball practice what percent of shots did he make

Answers

he made 14 out of 25 shots,
 divide 14 by 25:

14 / 25 = 0.56

multiply the answer by 100:

0.56 x 100 = 56%

Select the best answer for the question.
2. Express the fractions 3/4, 7/16, and 5/8 with the LCD.

A. 9/16, 49/16, 36/16
B. 3/4, 2/4, 3/4
C. 12/16, 7/16, 10/16
D. 24/32, 14/32, 24/32

Answers

(3/4)(4/4)=(3*4)/(4*4)=12/16
7/16
(5/8)(2/2)=(5*2)/(8*2)=10/16

/Answer: Option C. 12/16, 7/16, 10/16
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For this type of mini-research project, you will need to use transitions to help you link the main paragraphs with each other and the conclusion. Effective transitions will create cohesion and clarify the relationships among the ideas that you have included. Make sure you have used several transitions.Check for varied sentences. If all your sentences are simple, try using a complex or compound sentence.Ask a friend or classmate to read your paper and point to sections that may need to be rewritten for clarity.Reread the expectations for your project. Did you include all the information? Does your introduction and conclusion meet the requirement of this assignment? Philippe bouchet and colleagues conducted a massive survey of marine mollusks on the west coast of new caledonia. twenty percent of the species found had only a single specimen collected. what does that suggest about the diversity of mollusks in this area? Which ideas did Wilson propose in his Fourteen Points? Check all that apply. Secret treaties should be encouraged to prevent future conflict. A] Germany should be punished for its role in starting the war. B] Countries should be free to travel at sea without restrictions. C] Colonists should have a say in their governments. D] An international diplomatic organization should be established. Who is ramzan kadyrov? (1 point) he is the former president of the russian federation. he is the most wanted separatist leader in chechnya. he is the current president of chechnya. he is the current president of the russian federation? How was king Louis XIV forcing nobles to live at the palace of Versailles an example of absolute power? Read this excerpt from "Birdfoot's Grampa.The rain was fallinga mist about his white hairand I kept sayingyou cant save them all,accept it, get back inweve got places to go.Based on the excerpt, what is a reader most likely to infer about the toads?There are only a few toads.There are many toads.The toads are inside the car.The toads are dying. (Photo) Please help meWhich of the following is an example of empirical probability?