Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x =
f(x) = 6x² + 11x - 3
f() = 6()² + 11() - 3
= 6(
) + 
- 3
= 
+ - 
= 
= 4
Answer:
2 gallons
Step-by-step explanation:
25% of 4 gallons is 1 gallons, which means that 75% of the hand sanitizer is not alcohol, and is 3 gallons. since that is the amount of not alcohol, and we want it to be 50% solution, it has to be 3 gallons of alcohol in total, and 3-1=2.
1. The rule is that for something to be a function, one input(x-value) can ONLY HAVE ONE output(y-value). If one input has more than one output, it is not a function. Your answer is #1 because you can only have 1 output
2. Since you've been given the input -> x = -10, substitute/plug it into the equation to find the output:
Plug in -10 into "x"
y = -15 + 6
y = -9 Your answer is #2
<span> x^2 - 16 </span><span>x^3 - 2x^2+x
</span><span> ------------- * ---------------------
2x+8 </span><span>x^2 + 3x -4
</span><span>
(x+4)(x-4) x (x - 1)(x - 1)
= ----------------- * ----------------------
2(x+4) (x + 4)(x - 1)
</span> x(x- 4) (x - 1)
= -----------------
2 (x + 4)
Answer:
0.682 is the probability that one newborn baby will have a weight within one standard deviation of the mean.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 pounds
Standard Deviation, σ = 0.6 pounds
We are given that the distribution of weights of full-term newborn babies is a bell shaped distribution that is a normal distribution.
Formula:
P(weight between 7.4 and 8.6 pounds)
This could also be found with the empirical formula.
0.682 is the probability that one newborn baby will have a weight within 0.6 pounds of the mean.
