Answer:
16.7% of GMAT scores are 647 or higher
Step-by-step explanation:
The Empirical Rule states that 68% of the values are within 1 standard deviation of the mean(34% above, 34% below). It also considers that 50% of the values are above the mean and 50% are below the mean.
In this problem, we have that the mean 
is 547 and that the standard deviation 
is 100.
a. What percentage of GMAT scores are 647 or higher?
647 is 1 standard deviation above the mean.
So, 50% of the values are below the mean. Those scores are lower than 647.
Also, there is the 34% of the values that are above the mean and are lower than 647.
So, there is a 50% + 34% = 84% percentage of GMAT scores that are 647 or lower.
The sum of the probabilities must be 100
So, the percentage of GMAT scores that are 647 or higher is 100% - 84% = 16%.
<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
i’m not sure imma look stuff up and get back to you tho
Answer:
(f + g)(x) = I2x + 1I + 1 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ f(x) = I2x + 1I + 3
∵ g(x) = -2
→ We need to find (f + g)(x), which means add the two functions
∵ (f + g)(x) = f(x) + g(x)
→ Substitute the right side of each function on the right side
∴ (f + g)(x) = I2x + 1I + 3 + (-2)
→ Remember (+)(-) = (-)
∴ (f + g)(x) = I2x + 1I + 3 - 2
→ Add the like terms in the right side
∵ (f + g)(x) = I2x + 1I + (3 - 2)
∴ (f + g)(x) = I2x + 1I + 1
Answer:
The quadratic equation is f(x)=20x^{2} -400x +3000.
1. This number represents the amount of money it was sold for.
2. Vertex =(10,1000)
Step-by-step explanation:
This point represents the amount of money the computer was worth at its lowest point.
