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
Mandarinka [93]
3 years ago
7

A pitcher holds 3/4 gallons of kool-aid. Martin wants to pour equal amounts of kool- aid into 6 smaller cotainers. How much kool

-aid will each smaller cotained hold.
Mathematics
1 answer:
statuscvo [17]3 years ago
8 0

Answer:

\dfrac{1}{8}\ gallons

Step-by-step explanation:

Amount of kool - aid that the pitcher can hold = \frac{3}4 gallons

There are 6 smaller containers in which this kool - aid is to be adjusted.

Also, the volume of the smaller containers is equal to each other i.e. the containers are identical to each other in terms of volume.

To find:

The amount of kool - aid that each container can hold?

Solution:

Volume of all the smaller containers combined = Volume of the kool - aid available

Let the volume of one smaller container = V

V + V + V + V + V + V = \dfrac{3}{4}\ gallons

\Rightarrow 6V = \dfrac{3}{4}\ gallons\\\Rightarrow V = \dfrac{3}{4\times 6 }\ gallons\\\Rightarrow V=\bold{\dfrac{1}{8}\ gallons}

\frac{1}{8}\ gallons of kool - aid is the amount that each smaller can hold.

You might be interested in
Whats the standard deviation of 1,5,7,3,2,9,1
steposvetlana [31]

Answer:

The pattern is see is saying

Step-by-step explanation: 5+2-4-1+7-8

7 0
3 years ago
Luke has 48 books he puts 7 books in a box how many boxes can he fill?? Explain how you interpreted the remainder.
madam [21]
You divide 48 by 7 and you get the remainder of 6.8 . Therefore he can ONLY put 6 books in each box.
3 0
3 years ago
Read 2 more answers
. Rotate 90 degrees- clockwise.
vfiekz [6]

Answer:

(4,-1), (2,-5), and (5,-5).

Step-by-step explanation:

There is a formula for rotating points about the origin counterclockwise; r90°(x,y) = (-y,x)

I never heard of a clockwise one before.

Maybe you can use this to help you find the formula for the clockwise rotation.

5 0
3 years ago
An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0
zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 105, p = 0.9

So

\mu = E(X) = np = 105*0.9 = 94.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

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

Z = \frac{100 - 94.5}{3.07}

Z = 1.79

Z = 1.79 has a pvalue of 0.9633

96.33% probability that everyone who appears for the flight will get a seat

7 0
3 years ago
A recently admitted class of graduate students at a large state university has a mean GRE verbal score of 650 with a standard de
hjlf

Answer:

The answer is below

Step-by-step explanation:

The z score is a score used to determine the number of standard deviations by which the raw score is above or below the mean, it is given by the equation:

z=\frac{x-\mu}{\sigma} \\\\\mu=mean, \sigma=standard\ deviation,x=raw\ score\\\\for\ a\ sample\ n:\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

Given that μ = 650, σ = 50. To find the probability that 5 students who have a mean of 490, we use:

z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{490-650}{50/\sqrt{5} } =-7.16

From the normal distribution table, P(x < 490) = P(Z < -7.16) = 0.0001 = 0.01%

Since only a small percentage of people score about 490, hence the local newspaper editor should write a scathing editorial about favoritism

4 0
3 years ago
Other questions:
  • I dont know why my geometry teacher is giving us trigonometry​
    15·2 answers
  • 1. Find the product of 2.1 and 3.4.
    7·2 answers
  • Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years.
    11·1 answer
  • How do I find BCD? Please help
    13·2 answers
  • How do you write 0.35 as a fraction in simplest form
    7·1 answer
  • How do you write 110 percent as a decimal
    10·1 answer
  • raisa recevice a 9% commission on all items that she sales. her commision for her sales last week was 121.50. what was the dolla
    12·2 answers
  • Please answer this !
    12·1 answer
  • 5. There are 400 students in the senior class at Oak Creek High School. All 2 points
    10·1 answer
  • A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 35%. Find the selling pri
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!