MATHEMATICS
HIGH SCHOOL

Answer: So she breaded 1/2 of the fish and then ate 1/3 of that 1/2. So we need to find 1/3 of 1/2.

When you see "of" it means "×"

1/3 of 1/2 =

1/3 × 1/2 =

1/6

She ate 1/6 of the fish. She only ate 1/6 because fish is gross.

When you see "of" it means "×"

1/3 of 1/2 =

1/3 × 1/2 =

1/6

She ate 1/6 of the fish. She only ate 1/6 because fish is gross.

MIDDLE SCHOOL

A random sample of 10 subjects have weights with a standard deviation of 11.352211.3522 kg. What is the variance of their weights?

Based on the information given the variance of their weights is 128.87270 kg².

n=sample size=10

Standard deviation=11.352211.3522 kg

Using this formula

Variance=(Standard deviation)²

Let plug in the formula

Variance=(11.352211.3522 kg)²

Variance=128.87270 kg²

Inconclusion the variance of their weights is 128.87270 kg².

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The variance of their weights will be 128.872... kg²

Explanation

Suppose, the variance of their weights is

Given that, the standard deviation is 11.3522 kg.

We know that, standard deviation is always the square root of the variance and if the standard deviation is in kg, then variance will be in kg². So......

So, the variance of their weights will be 128.872... kg²

HIGH SCHOOL

Maytag wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 6060 customers and asks them about their level of satisfaction with the company. What type of sampling is used? a. Simple random

b. Cluster

c. Systematic

d. Stratified

e. Convenience

Answer:

Correct answer is (a). Simple random sampling

Step-by-step explanation:

Simple random sampling (SRS) is a statistical techniques used in choosing subset of members of the population randomly without given special priority to anyone to be chosen. It gives every members of the population equal chance.

By randomly selecting 6060 customers from the customer's database, Maytag has employed Simple Random Sampling method of survey.

MIDDLE SCHOOL

Solve the following system by any method 8x+9y=-5

-8x-9y=5

a:(-10,3)

b:infinitely many solutions

c:(0,0)

d:(-3,10)

8x + 9y = -5

-8x - 9y = 5

The simplest method to use in this instance is the elimination method, as all variable terms' coefficients are opposites of each other. If you add these equations together, they will cancel out.

8x + 9y = -5

-8x - 9y = 5

+__________

0 - 0 = 0

0 = 0

Since these two equations cancel each other out, this system has infinitely many solutions.

Answer:

b: infinitely many solutions

-8x - 9y = 5

The simplest method to use in this instance is the elimination method, as all variable terms' coefficients are opposites of each other. If you add these equations together, they will cancel out.

8x + 9y = -5

-8x - 9y = 5

+__________

0 - 0 = 0

0 = 0

Since these two equations cancel each other out, this system has infinitely many solutions.

Answer:

b: infinitely many solutions

MIDDLE SCHOOL

84% of Astrid's books are fiction. What fraction of Astrid's books are fiction?

Greetings!

Hope this helps!

Answer:

Step-by-step explanation:

If 84% are fiction, then the fraction of these are simply the percentage over 100:

Simplified down by dividing by 4:

Hope this helps!

COLLEGE

Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow. Together, Betty and Bessie produced 1464 gallons of milk. How many gallons each cow give?

Answer: Betty the cow gave 851 gallons and Bessie the cow gave 613 gallons of milk.

Step-by-step explanation:

Let x be the amount of milk given by Bessie the cow.

Given : Karins mom runs a dairy farm. Last year Betty the cow gave 375 gallons less than twice the amount from Bessie the cow.

Then, the amount of milk given by Betty the cow will be .

Together, Betty and Bessie produced 1464 gallons of milk.

Then, according to the question, we have

Also,

Hence, Betty the cow gave 851 gallons and Bessie the cow gave 613 gallons of milk.

X = bessie and y = betty

x + y = 1464

y = 2x - 375

x + 2x - 375 = 1464

3x - 375 = 1464

3x = 1464 + 375

3x = 1839

x = 1839/3

x = 613

x + y = 1464

y = 2x - 375

x + 2x - 375 = 1464

3x - 375 = 1464

3x = 1464 + 375

3x = 1839

x = 1839/3

x = 613

COLLEGE

A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis and the alternative hypothesis that we would use for this test.

Answer:

Step-by-step explanation:

Given : A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% .

Let 'p' be the new proportion of high school seniors who felt that "getting rich" was an important personal goal .

Claim :

We know that the null hypothesis has equal sign.

Therefore , the null hypothesis for the given situation will be opposite to the given claim will be :-

And the alternative hypothesis must be :-

Hence, the null hypothesis and the alternative hypothesis that we would use for this test :

MIDDLE SCHOOL

25 POINTS! Answer needed ASAP! You WILL be named Brainiest! You are trying to decide which of the two smartphones plans would be better. Plan A charges a basic fee of $30 per month and 10 cents per text message. Plan B charges a basic fee of $50 per month and 5 cents per text message.

How many text message would you need to send per month for plan B to be the better option? Explain your decision.

I also need to see work. Equations, everything that you would need to solve. Thanks!

Answer:

We need to send more than 400 messages for Plan B to be the better option.

Step-by-step explanation:

Plan A

The cost is a flat fee of 30 plus 10 cents per message

Cost= 30 +.10m

Plan B

The cost is a flat fee of 50 plus 5 cents per message

Cost = 50 +.05m

We want cost of B to be less than cost A

30 +.10m > 50 +.05m

Subtract .05m from each side

30 +.10m- .05m > 50 +.05m-.05m

30 +.05m > 50

Subtract 30 from each side

30-30 +.05m > 50-30

.05m > 20

Divide each side by .05

.05/.05m > 20/.05

m > 400

We need to send more than 400 messages for Plan B to be the better option.

MIDDLE SCHOOL

Define mixed numbers

Definition:

a number consisting of an integer and a proper fraction.

Let's put it in our own words!

A number that contains a proper fraction and an integer.

Example: 2 1/3

Hope this helps!

- Melanie

Answer:

A number written as a whole number with a proper fraction. What do I mean by that? let's see what the situation of steps.Its called baby steps.

Step-by-step explanation:

*skip the 1 and 2 if you already understand this main problem*

- There is 3 main types of fractions.

- proper fraction is when the numerator is less than the denominator. Here is an example:

-----> The 1 that is on top is the numerator the 2 is the denominator which is on the bottom, it's clearly a fraction that is proper.

2.improper fraction is when numerator is larger than or equal to the denominator explanation: that turns to a mixed number by dividing

1.step/

3.Now Mixed number is a number written as a whole number with a proper fraction

2 1/2 is an example of how a mixed number

HIGH SCHOOL

How do you think ratios are used in paint mixtures

The ratio of the paint to water is important in determining whether the coating will be lighter or darker

more water more light it becomes

more paint more darker colour is obtained

more water more light it becomes

more paint more darker colour is obtained