1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
omeli [17]
3 years ago
5

Monica and Michael both want to buy a scooter. Monica has already saved $25 and plans to save $5 per week. Michael has $16 and p

lans to save $8 per week. In how many weeks will Monica and Michael have saved the same amount of money ?
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

3 weeks

Step-by-step explanation:

To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.

So we can write the expression as,

Let w be the number of weeks.

25 + 5w =16 + 8w

Grouping the terms as,

25 - 16 = 8w - 5w

9 = 3w

Dividing both sides by 3, we will get,

3w/3 = 9/3

 w = 3

So number of weeks = 3

You might be interested in
Find the missing angle.<br> 100<br> 60<br> 68<br> 45<br> Will mark brain list !
Temka [501]
I think 45 because if you look at the top of the other 45 the graphs look the same lengths except this one stretches out so 45°
5 0
3 years ago
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.â  Suppose a small group of 11 Allen's humming
alexira [117]

Answer:

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=3.15 represent the sample mean

\mu population mean (variable of interest)

\sigma=0.38 represent the population standard deviation

n=11 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.80 or 80%, the value of \alpha=0.2 and \alpha/2 =0.1, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NOR.INV(0.1,0,1)".And we see that z_{\alpha/2}=1.28

Now we have everything in order to replace into formula (1):

3.15-1.28\frac{0.38}{\sqrt{11}}=3.003    

3.15+ 1.28\frac{0.38}{\sqrt{11}}=3.297    

So on this case the 80% confidence interval would be given by (3.003;3.297)

And the margin of error is given by:

ME = 1.28\frac{0.38}{\sqrt{11}}= 0.147    

8 0
3 years ago
I’ll brainliest you please help me
elixir [45]

Answer:

C

Step-by-step explanation:

Using the pythagorean theorem, we can determine if these are right triangles or not.

equation: sqrt a^2+b^2=c

this means the square root of the two shortest sides squared must equal to the largest side, (the hypotenuese).

Work for C:

Squareroot of 32^2 + 24^2 = 40cm

8 0
2 years ago
Why is it important to know how to estimate quotients?
Zigmanuir [339]
In the real world you are not going to have a calculator on you 24/7. Nor will you have a pencil or paper to do longhand. You need to know how to accurately estimate your answers in order to be successful.
8 0
3 years ago
Bella had already read 20% of the book before her teacher assigned it to the class. She is choosing between two options to finis
Lubov Fominskaja [6]

Answer:

How big is the book?

If it has more than 96 pages remaining 25% each night is quicker if it has less that 96 or less remaining 24 pages a night is faster

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Gary and henry brought an equal amount of money for shopping gary spent rs 95 henry spent rs 350 after that henry had 4/7 of wha
    14·1 answer
  • She breaks apart 12 into 10+2 then she writes 5×(10+2) as 5× 10)
    11·1 answer
  • Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
    14·1 answer
  • What is the value of 7x squared + 2x when x = 3
    11·1 answer
  • An open box is made from a 30​-cm by 70​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
    7·1 answer
  • I'll give brainliest
    7·1 answer
  • Hellllppppppppp pleaseeee<br><br> Find the largest whole number to equal the length of the triangle
    7·1 answer
  • What is the answer to this​
    6·1 answer
  • What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place. ​
    10·2 answers
  • A local little league has a total of 70 players of whom 20% are left handed how many are left handed?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!