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
o-na [289]
3 years ago
7

Princess Anna decides to make a birthday cake for Queen Elsa’s birthday! Anna, Olaf, Kristoff and Sven all add a different ingre

dient. When the cake mix has been combined, there is 1/4 of the flour left over, 1/3 of the butter, 1/2 of the sugar and 5/8 of the eggs. Anna used the most of her ingredient and Olaf used the least of his. Kristoff used more than Sven. Who used the sugar?
Mathematics
2 answers:
kramer3 years ago
7 0

Answer:

Sven used Sugar.

Step-by-step explanation:

The question gives the amount of each ingredient left after making the cake.

\frac{1}{4} = 0.25 - Flour

\frac{1}{3} = 0.33 - Butter

\frac{1}{2} = 0.50 - Sugar

\frac{5}{8} = 0.625 - Eggs

It says that Anna used most of her ingredients, this means she has used the ingredients which has the least amount left. The lowest out of the fractions above is \frac{1}{4}. So Anna used Flour.

Also Olaf used the least of his, meaning he has most of his ingredient left. Highest value in the list is \frac{5}{8}. So Olaf used Eggs.

Kristoff used more than Sven, means that Kristoff has less of his ingredient left compared to Sven. So lower value out of the values left goes to Kristoff, that is \frac{1}{3}. So Kristoff used Butter.

So we are left with Sugar and Sven.

So Sven used Sugar.

Radda [10]3 years ago
5 0
To answer this you will consider that the person who used the most of their ingredient (Anna) has the least amount of ingredients left over. This would be the flour.

For Olaf, he used the least ingredients, so he would have the most left over which is 5/8 of the eggs.

Kristoff and Sven are left and Kristoff uses more, so he would have less left over (1/3). This is the butter.

This leaves Sven with the sugar.

You might be interested in
How many feet of fencing would a farmer need if she wanted
Sauron [17]

Answer:

Well, it's the perimeter, so...40.

You just calculate the perimeter of a rectangle with the lenght of 12 and width of 8, by the formula

P = 2L+2W

or you can factor it out.

7 0
3 years ago
The head librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books check
Verdich [7]

Answer:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =150 represent the population standard deviation

n represent the sample size  

Solution to the problem

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The confidence interval for this case is given by: (740, 920)

We can find the estimate for the mean and we got:

\bar X = \frac{740+920}{2} = 830

and the margin of error is given by :

ME = \frac{920-740}{2}= 90

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =90 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} s}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(150)}{90})^2 =10.67 \approx 11

So the answer for this case would be n=11 rounded up to the nearest integer

5 0
3 years ago
mary expermented with 10 exercises from each class offered at her gym. each class has an equal number of exercises. is this samp
almond37 [142]

Answer:

Yes it is because if there is an equal number of excercises, for each class, than it has to be representitive.  For there being 10.

Step-by-step explanation:

hope this helps. plz mark brainliest

5 0
3 years ago
Use the multiplier method to increase £258 by 43
tekilochka [14]

Answer:

The new value after an increase

of £258 by 43 will be: 368.94

Step-by-step explanation:

As we have to increase £258 by 43 using the multiplier method.

Let 'n' represent the new value after the increase of £258 by 43 using the multiplier method.

Using the formula

n = 258 + percentage increase

   =258+\left(43\%\:258\right)

   =258\:+\:43\%\:\times 258

Factoring out 258

    =\left(1\:+\:43\%\right)\:\times \:258

as 1 = 100 / 100 = 100%

so

   =\left(100\%\:+\:43\%\right)\:\times \:258

   =143\%\:\times \:258

    =\frac{143}{100}\times 258

    =\:\frac{143\times 258\:\:}{100}

    =\:\frac{36,894\:\:}{100}

    =368.94

Therefore, the new value after an increase

of £258 by 43 will be: 368.94

6 0
3 years ago
Five friends share 3 bags of trail mix equally. what faction of a bag of trailmix does each friend get?
Agata [3.3K]
3/5 of trail mix per person
6 0
3 years ago
Other questions:
  • Select the correct statement and rationale relating the interest rates of online banks to those of traditional banks.
    12·2 answers
  • Please help<br> will give brainliest
    7·2 answers
  • Write a function rule for this table.
    8·1 answer
  • -6.25x + 262.5 = 250
    15·2 answers
  • What area of the grass is being watered by this sprinkler
    10·1 answer
  • I need a quick answer. I will appreciate your efforts
    8·2 answers
  • Can someone help answer this
    13·2 answers
  • Triangle ABC pictured above has a right angle at C. If a=4.3 and c=9, find the measure of angle B. Round to the nearest tenth of
    11·1 answer
  • Which number is less than -1.5?<br> 1. -1<br> 2.-1.5<br> 3.-1 1/3<br> 4.-1 2/3
    10·2 answers
  • Tiles with the letters A,B,C,D,E,F,G and H written on them are placed in a bag. Malik draws out on letter at random. Which state
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!