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2 years ago

6 (3x-1)-10x. with work please :)

1 answer:

4 0

Hey there!
Let's break this expression into two parts:
6(3x-1) and -10x

To solve the first part, we need to use the distributive property which states:
a(b+c) = ab+ac

Applying that to this problem, we have:
6(3x) + 6(-1) =
18x - 6

Now, we can take that -10x and put it right back in:

18x - 6 - 10x

Combine like terms and subtract the 10x from the 18x to get:
8x - 6

Hope this helps!

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Out of the 2000 students at Smith Middle School, 250 have green eyes, which is 12.5%. Mrs. Craig surveys her math class and 8 ou

vivado [14]

<span>B)
The sample that Mrs. Craig took was too small.

I'm assuming the question is asking why they were not the same percentage?</span>

6 0

2 years ago

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

Rasek [7]

Answer:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

Step-by-step explanation:

1) Previous concepts

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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

$p = \frac{17}{25}=0.68$

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

$X \sim Binom(n=6, p=0.68)$

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:

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

And we want to find this probability:

$P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727$

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

$P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727$

6 0

2 years ago

A model car uses the scale 1:43. The actual length of a car is 17.2 feet. What is the length of the model car?

faust18 [17]

17.2/43= 0.4

Since the scale is 1:43, you would just divide the actual length by 43.

0.4:17.2 is congruent to 1:43.

43/17.2= 2.5

1/.04= 2.5

I hope this helps!
~kaikers

7 0

3 years ago

Translate this phrase into a mathematic expression: “A number less than 7”

horsena [70]

Answer:

7 - ?

Step-by-step explanation:

Write and expression like and you should have a right answer. Hope this helps and good luck :)

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2 years ago

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HELP HELP HELP I WILL GIVE BRAINLIEST <br> NO B.S. ANSWERS PLEASE

Whitepunk [10]

I believe it’s x=2.5 or x=2 1/2 or x=5/2
They are all the same answers in different forms . Hope it’s right

8 0

2 years ago