Answer:
5% or 0.05
Step-by-step explanation:
The null hypothesis will be rejected if p-value is less than significance level.
The null hypothesis can be rejected on 5% and 10% level of significance, but 5% level of significance is a suitable choice because when the 5% significance level is used the confidence level is 95% where as in case of 10% the confidence level is 90%. In short, the significance level indicates the probability of rejection of null hypothesis when the null hypothesis is true and the lesser probability of taking that risk will be better.
So, the scenario indicates the suitable significance level as 0.05.
This is a case of joint probability: you want to know what the odds are of this event AND that event occurring. For a joint probability, the formula is usually given as:
P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
The sense of "rate<span>" being used is "a quantity, amount, or degree of something measured per unit of something else". This is what is asked in this problem. TO calculate, we divide the number of steps to the time it takes.
Steps/min = 775/12 1/2 = 62 steps per minute
Hope this answers the question. Have a nice day.</span>
Answer:

Step-by-step explanation:
Anything to a negative power is pretty much,
(1 divided by (the whole exponet and with bae but the exponent is positive))
so i this case, it is 1/ 3^3
Here is the answer
I can’t seem to do the symbols here so the answer is in the picture.