Answer:
B
Step-by-step explanation:
x=4 so
2x4=8
8+5=13
Carlos's sister is 4 years old, therefore it is B.
Answer:
C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]
Step-by-step explanation:
The first derivative is the slope between two points as the distance between those points approaches 0. Slope is Δy/Δx. Choice D is a valid way to write the first derivative. It is the slope between the points (x, f(x)) and (x+h, f(x+h)). Choice C is not a valid definition.
5 pairs of black socks*2 because it’s a pair= 10 socks
4 pairs of grey socks*2=8
2 pairs of white socks*2=4
1 pair of brown socks*2=2
1 pair of blue socks*2=2
10 socks+8 socks+4 socks+2 socks+ 2 socks=26 socks in total
26/2=13+1 because you need to be sure you get one pair of socks. The smallest amount of socks you would have to grab to get at least one matching pair is 14 socks.
Answer:
Option B is correct.
If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who says that GM foods are generally unsafe to eat.
Step-by-step explanation:
In Hypothesis testing, p-value helps to show the significance of one's results.
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and is always about the absence of significant difference between two variables being compared.
While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared.
For this question, the null hypothesis is that 57% of Americans say that GM foods are generally unsafe to eat.
H₀: p = 0.57
And the alternative hypothesis would be that more than 57% of Americans say that GM foods are generally unsafe to eat.
Hₐ: p > 0.57
The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.
For this question , it is evident that the p-value (0.088) is expressing the probability of getting results as extreme as 60% or more Americans saying that GM foods are unsafe to eat provided that the null hypothesis (57% of Americans say that GM foods are generally unsafe to eat) is true.
Hope this Helps!!!
