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
Rainbow [258]
2 years ago
7

Travis was attempting to make muffins to take to a neighbor. The recipe that he was working with required ¾ cup of sugar and ⅛ c

up of butter. Travis accidentally put a whole cup of butter in the mix. What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
Mathematics
1 answer:
KatRina [158]2 years ago
7 0

Answer:

6 cups

Step-by-step explanation:

3/4x8=

6

You might be interested in
Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batteries follows the normal prob
Novay_Z [31]

Answer:

a) By the Central Limit Theorem, it is approximately normal.

b) The standard error of the distribution of the sample mean is 1.8333.

c) 0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d) 0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours

e) 0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 36 hours and a standard deviation of 5.5 hours.

This means that \mu = 36, \sigma = 5.5

a. What can you say about the shape of the distribution of the sample mean?

By the Central Limit Theorem, it is approximately normal.

b. What is the standard error of the distribution of the sample mean? (Round your answer to 4 decimal places.)

Sample of 9 means that n = 9. So

s = \frac{\sigma}{\sqrt{n}} = \frac{5.5}{\sqrt{9}} = 1.8333

The standard error of the distribution of the sample mean is 1.8333.

c. What proportion of the samples will have a mean useful life of more than 38 hours?

This is 1 subtracted by the pvalue of Z when X = 38. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{38 - 36}{1.8333}

Z = 1.09

Z = 1.09 has a pvalue of 0.8621

1 - 0.8621 = 0.1379

0.1379 = 13.79% of the samples will have a mean useful life of more than 38 hours.

d. What proportion of the sample will have a mean useful life greater than 34.5 hours?

This is 1 subtracted by the pvalue of Z when X = 34.5. So

Z = \frac{X - \mu}{s}

Z = \frac{34.5 - 36}{1.8333}

Z = -0.82

Z = -0.82 has a pvalue of 0.2061.

1 - 0.2061 = 0.7939

0.7939 = 79.39% of the samples will have a mean useful life greater than 34.5 hours.

e. What proportion of the sample will have a mean useful life between 34.5 and 38 hours?

pvalue of Z when X = 38 subtracted by the pvalue of Z when X = 34.5. So

0.8621 - 0.2061 = 0.656

0.656 = 65.6% of the samples will have a mean useful life between 34.5 and 38 hours

4 0
2 years ago
I'll mark brainliest thanks​
Alecsey [184]

Answer:

Transitive

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
If 12x+8 is less than 6,what is the value of 8x​
marissa [1.9K]
I think it’s 4 but not sure
3 0
3 years ago
What's the answer to this?
Dovator [93]

Answer:

Yes

That is the answer

4 0
2 years ago
in a classroom the number of girls is 3 and 2/3 times the number of boys. there are 16 more girls than boys. find the total numb
nalin [4]
I think it is 19 boys in the classroom
5 0
2 years ago
Other questions:
  • One question I need help with, I would really appreciate the help.
    7·1 answer
  • Numbers that are not decimals
    9·2 answers
  • The formula for glue says to add 60ml of harder to each container of resin. How much hardener should be added to the 19 containe
    15·1 answer
  • Simply by divinding (-5/8) ÷ (-3/4)
    8·1 answer
  • Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns. Is Jenna's ratio of money saved to mon
    5·1 answer
  • Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.
    15·1 answer
  • Which set of sides would make a right angle
    9·1 answer
  • Find the Total Surface Area and the Volume of these shapes:
    15·1 answer
  • What is an equation that goes through the points (4,10) and (3,-4)?
    10·1 answer
  • Twenty-five students were asked to rate—on a scale of 0 to 10—how important it is to reduce pollution. A rating of 0 means “not
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!