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dybincka [34]
3 years ago
8

Factor by gcf 6x2+3x+21 The 2 is supposed to be small.

Mathematics
1 answer:
nlexa [21]3 years ago
8 0

Given:

The expression is:

6x^2+3x+21

To find:

The factor of the given expression by GCF.

Solution:

We have,

6x^2+3x+21

Here, 3 is the greatest common factor (GCF) of 6x^2,3x,21.

Taking out GCF, we get

6x^2+3x+21=3(2x^2+x+7)

Therefore, the required factor form of the given expression is 3(2x^2+x+7).

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In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the
xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, <em>p</em> = 0.20.

The random variable <em>X</em> follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0

(a)

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

Compute the expected number of guests until the next one pays by American Express credit card as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.20}{0.20}

         =4

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

P(X=10)=(1-0.20)^{10}\times0.20

                 =0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0
3 years ago
The rainfall for one year was 35.8 inches. What was the approximate rainfall per month
Aloiza [94]
The rainfall for one month would be 2.983 inches per month.
7 0
3 years ago
Read 2 more answers
A scientist measures a substance to be 0.8 grams. Calculate the percent of error in the measurement. Show all work for full cred
Volgvan
You'll need to give a bit more information for the question to be answered. You can only calculate the percentage of error if you know what the mass of the substance *should be* and what you've *measured* it to be.

In other words, if a substance has a mass of 0.55 grams and you measure it to be 0.80 grams, then the percent of error would be:

percent of error = { | measured value - actual value | / actual value } x 100%

So, in this case:

percent of error = { | 0.80 - 0.55 | / 0.55 } x 100%
percent of error = { | 0.25 | / 0.55 } x 100%
percent of error = 0.4545 x 100%
percent of error = 45.45%

So, in order to calculate the percent of error, you'll need to know what these two measurements are. Once you know these, plug them into the formula above and you should be all set!
6 0
3 years ago
What is −4(−5x+2)−3x−5= -30
alexandr1967 [171]

Answer:

x = -1

Step-by-step explanation:

Step 1: Write equation

-4(-5x + 2) - 3x - 5 = -30

Step 2: Solve for <em>x</em>

<u>Distribute -4:</u> 20x - 8 - 3x - 5 = -30

<u>Combine like terms:</u> 17x - 13 = -30

<u>Add 13 on both sides:</u> 17x = -17

<u>Divide both sides by 17:</u> x = -1

3 0
3 years ago
Read 2 more answers
75 POINTS!!!
SIZIF [17.4K]

Answer:

1. 0-9

2. 0-6

3. 0-6

Step-by-step explanation:

This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.

(ik you might not need this anymore, but I'm hoping it proves useful to others)

5 0
3 years ago
Read 2 more answers
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