Answer:
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 29
Sample mean, 
= 30
Sample size, n = 47
Alpha, α = 0.05
Population standard deviation, σ = 5
First, we design the null and the alternate hypothesis
a) This is a one-tailed test because the alternate hypothesis is in greater than direction.
We use One-tailed z test to perform this hypothesis.
b) 
, we reject the null hypothesis and accept the alternate hypothesis and if 
, we accept the null hypothesis and reject the alternate hypothesis.
c) Formula:
Putting all the values, we have
d) Now, 
Since,
We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.
e) P-value is 0.0853
On the basis of p value we again accept the null hypothesis.
44-2x=x-10
subtract 44 from both sides
-2x= x-54
subtract x from both sides
-3x= -54
divide by -3
x= 18
square root of 18= 4.24
in radical form 3 square root of 2
hope this helps
probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
<u>Step-by-step explanation:</u>
Here we have , A card is drawn at random from a deck of 52 playing cards. We need to find that Find the probability that the card drawn is:
A deck of standard 52 cards contain four aces. There are four kings in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒ 
⇒ 
A deck of standard 52 cards contain four kings. There are 13 Diamonds in a standard deck of playing cards. So ,we need to find probability that card drawn is either a ace or king i.e.
⇒
⇒ 
⇒ 
⇒ 
Therefore, probability that the card drawn is:
- an ace or a king = 0.1538
- a king or a diamond = 0.3269
C. Similar - AA
There is no information given that shows differences between the two triangles so you can assume that they're similar. The two angles are next to each other with no side interrupting them, and no side length is given, therefore the answer is Similar - AA (angle - angle)
Answer:
5/13 for Todd running next day if this helps?
I counted the days and then counted 13 was the total so it is 5/13
Step-by-step explanation:
Days = 2,+3,+3,+ 5 = 13
13= 5/13 = probability
13 = 8:5 = ratio
5/13 was the probability of the results reoccurring same as day 5
Just as results being under 3km would only be 2/13
