Answer: 2/3
Step-by-step explanation:
3(y-1) = 2x + 2
Expand: 3y - 3 = 2x + 2
Isolate the y by adding 3 to both sides: 3y = 2x +5
Isolate the y by dividing 3 from both sides: y = 2/3x +5/3
Remember, in y = mx + b, m = slope.
So, 2/3 is the slope.
Answer:
Study 1 Answers:
1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.
2) 1290 represents the initial value, or before the study began.
Study 2 Answers:
1) 1180 is the initial value, or before the study began.
2) Study 1 started with more bacteria
3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth
Step-by-step explanation:
Exponential functions are in the form
, where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.
Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.
K = ln (153/147)/7
k =
<span>
ln
(<span>
<span>
1.0408163265)/7
k = </span></span></span>0.040005334584
y(t) = a * e ^ k*t
y(2017) = 147 * e^ <span><span><span>0.040005334584
</span>
</span>
</span>
* 26
y(2017) = 147*e^
<span>
<span>
<span>
1.0401386992
</span>
</span>
</span>
y(2017) = 147*
<span>
<span>
<span>
2.8296094512
</span>
</span>
</span>
<span>y(2017) = 415.95 NOT very sure of that answer
</span>
Answer:
b) B and D and c) A and C
Step-by-step explanation:
The hypotheses would be:

(Right tailed test at 5% level)
Sample proportions are
Sample A B C D
Success 31 34 27 38
Proportion p 0.775 0.85 0.675 0.95
Std error
(sqrtpq/n) 0.066 0.056 0.074 0.034
p diff
p-0.75 0.025 0.10 - 0.075 0.20
Z stat
p diff/SE 0.0757 1.77 1.01 5.80
p value 0.469 0.038 0.156 0.000001
we find that p value is more smaller than alpha, the more accurate the alternate hypothesis.
b) Only B and D provide against the null. Because p <0.05
c) A and C provide no evidence for the alternative because p >0.05