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3 years ago

Using the terms below, group like terms

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer:

= 3a + 7b - 8c

Step-by-step explanation:

In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

(6a + 8b - 7c) + (2b + c - 4a) + (a - 3b - 2c)

= 6a + 8b - 7c + 2b + c - 4a + a - 3b - 2c

Arrange the like terms together, then add.

Thus, the required addition

= 6a - 4a + a + 8b + 2b - 3b - 7c + c - 2c

= 3a + 7b - 8c

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

6a + 8b - 7c

- 4a + 2b + c

a - 3b - 2c

3a + 7b - 8c

= 3a + 7b - 8c

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Anna007 [38]

Answer:

Step-by-step explanation:

Let's break it down:

We need to remove the third of ALL the cupcakes that got Vanilla Icing. 1/3 of 30 is 10. This means you need to subtract 10 from the original 30.
This leaves 20 left
Half of the remaining 20 will get Strawberry Icing.
1/2 of 20 is 10 (the amount getting Strawberry Icing)

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3 years ago

Read 2 more answers

Thirty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired

Varvara68 [4.7K]

Answer:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.3)$

And for this case we want to find this probability:

$P(X =2)$

And we can use the probability mass function and we got:

$P(X=2)=(10C2)(0.3)^2 (1-0.3)^{10-2}=0.233$

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2 years ago

Can you tell me if this is right

Rus_ich [418]

Mrs. Cali's Lower Quartile:2
Mrs. Cali's Upper Quartile:4
Mr. Ronald's Lower Quartile:4
Mr. Ronald's Upper Quartile: 7
Lower Quartile 2<4 (Mr.Ronald's is greater)
Upper Quartile 4<7 (Mr.Ronald's is greater)
Mr. Ronald's Upper and Lower Quartiles are Greater than Mrs. Cali's Upper and Lower Quartiles.
Mr. Ronald's Lower Quartile:4
Mrs. Cali's Upper Quartile:4
D is correct because Mrs. Cali's upper Quartile is at 4, which is where Mr. Ronald's Lower Quartile is.
Hopefully that helps!
Good Job getting it right on your own!

8 0

3 years ago

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3 years ago

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