The theoretical probability is what is expected based on using math. Since there is only one card that is number 1, and there are 400 possible outcomes, then the theoretical probability is 1/400 which is 0.25%.
Now find the experimental probability by find the number of times card 1 is picked, and the number of cards in total. 128/400 = 0.32 which is 32 percent.
The experimental probability is higher than the theoretical probability.
Hope this helps
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
H0 : μ = 1
H1 : μ > 1
Sample size, n = 20 ; xbar = 1.05; Standard deviation, s = 0.13
Test statistic;
t because sample size is < 30
(xbar - μ) ÷ (s/sqrt(n))
(1.05 - 1) ÷ (0.13 / sqrt(20))
0.05 ÷ 0.0290688
= 1.7200572
Using a p value calculator :
With alpha = 0.05 ; df = n - 1 = 20 - 1 = 19
P value = 0.05084
P value > alpha
We fail to reject H0
There is not sufficient evidence to support that the new personnel are producing loaves that are heavier than 1 pound
Answer: D. The probability of a time from 75 seconds to 250 seconds.
Step-by-step explanation:
We know that a density curve graph for all of the possible values from a to b can be used to find the the probability of the values from a to b .
Given: A density graph for all of the possible times from 50 seconds to 300 seconds.
Then it can be used to find the the probability of a time in the range from 50 seconds to 300 seconds.
From all the given option only option D gives the interval which is lies in the above range.
i.e A density graph for all of the possible times from 50 seconds to 300 seconds can be used to determine the probability of a time from 75 seconds to 250 seconds.
Answer:
h=A-πr²÷2πr
Step-by-step explanation:
M making h subject
A=2πrh+πr²
A-πr²=2πrh
A-πr²÷2πr=h
h=A-πr²÷2πr
*Note: this is actually an example of what you would call scientific notation.
To solve this, let's apply this method to a simpler method. When you multiply 13 by 10, you get 130 right? And when you multiply 13 by 10 to the power of 2, you get 1300 right? The exponent is the amount of zeroes you add after the factor. If the exponent is negative, you simply subtract the amount of zeroes. If there are no zeroes at the end, then you move the decimal however many times to the left.
Therefore, 1.08 x 10 to the power of negative 3 would be 0.00108. The decimal was moved 3 places to the left. Hope this helps!
