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Answer:
Choice 3: David's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings.
Step-by-step explanation:
In the question, $12,350 is given as the initial value and '240x' is the monthly spending in terms of x.. When writing the equation, we must subtract 240x because the money is being spent.
The correct equation for this situation would be:
y = 12,350 - (240x).
Thus, David's Equation is correct.
Answer:
n>5
Step-by-step explanation:
Answer:
Now we can find the p value with the following probability:
Step-by-step explanation:
Information given
n=97 represent the random sample taken
estimated proportion of defective
is the value to verify
z would represent the statistic
represent the p value
Hypothesis to tests
We want to tet if the true proportion is less than 6%, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can find the p value with the following probability:
Answer:
- 891 = 3^4 · 11
- 23 = 23
- 504 = 2^3 · 3^2 · 7
- 230 = 2 · 5 · 23
Step-by-step explanation:
23 is a prime number. That fact informs the factorization of 23 and 230.
The sums of digits of the other two numbers are multiples of 9, so each is divisible by 9 = 3^2. Dividing 9 from each number puts the result in the range where your familiarity with multiplication tables comes into play.
891 = 9 · 99 = 9 · 9 · 11 = 3^4 · 11
___
504 = 9 · 56 = 9 · 8 · 7 = 2^3 · 3^2 · 7
___
230 = 10 · 23 = 2 · 5 · 23
_____
<em>Comment on divisibility rules</em>
Perhaps the easiest divisibility rule to remember is that a number is divisible by 9 if the sum of its digits is divisible by 9. That is also true for 3: if the sum of digits is divisible by 3, the number is divisible by 3. Another divisibility rule fall out from these: if an even number is divisible by 3, it is also divisible by 6. Of course any number ending in 0 or 5 is divisible by 5, and any number ending in 0 is divisible by 10.
Since 2, 3, and 5 are the first three primes, these rules can go a ways toward prime factorization if any of these primes are factors. That is, it can be helpful to remember these divisibility rules.
23/40 can't be simplified as it has no common factors
