Answer:
the other dimension is 4.2 inches
Step-by-step explanation:
The scale factor from 5 inches to 10.5 inches is ...
10.5/5 = 2.1
Then the other dimension is 2 inches times that scale factor:
2.1×(2 in) = 4.2 in
Answer:

Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

Answer:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
Step-by-step explanation:
First we formulate the problem in equations:
Abel = 6 * Ben
Cale = Abel / 3
If Cale's score is Abel's score over 3, so Abel's score is 3 times Cale's score.
If Abel's score is 6 times Ben's score, and 3 times Cale's score, then Cale's score is 2 times Ben's score (so Ben's score is 0.5 times Cale's score)
So, the ratio between all scores are the following:
Abel to Ben: 6
Abel to Carl: 3
Ben to Carl: 0.5
The direction of the difference between the 2 measurements.
<h3>What is nominal and ordinal scale with example?</h3>
- Examples of data for a nominal scale include a person's gender, ethnicity, and hair color.
- On the other hand, an ordinal scale requires putting data in a certain order, or in relation to one another and "ranking" each parameter (variable).
<h3>What is the difference nominal and ordinal?</h3>
- Ordinal data has a preset or natural order, whereas nominal data is categorized without a natural order or rank.
- A number that can be measured, however, will always be present in numerical or quantitative data.
<h3>What is an example of a ordinal scale?</h3>
- First place would go to a student with a score of 99 out of 100; third place would go to a student with a score of 92 out of 100; and so on.
Learn more about ordinal scale and nominal scale here:
brainly.com/question/15998581
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Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization