Answer:
A
The correct option is B
B
C
D
The correct option is D
Step-by-step explanation:
From the question we are told that
The sample size is 
The number that developed nausea is X = 50
The population proportion is p = 0.20
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically represented as
Generally the test statistics is mathematically represented as
=> 
=> 
=>
The p-value obtained from the z-table is
Given that the 
then we fail to reject the null hypothesis
Answer:
300
Step-by-step explanation:
every lamp can connect other lamps ，from the first ，it can connect the other 24 lamps，and then， the second ，can also connect other 24 。but the line between the first and the second is counted twice。
so it would be：
（1+2+3+...+24）×24÷2=300
Answer:
a) 9 / 200
b) 13 / 100
Step-by-step explanation:
a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.
Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).
There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10 = 9 / 200
b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.
There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100
Answer:
no thank you
Step-by-step explanation:
First, add 29 on both sides.
42 - x is less than or equal to 0.
Next, add x on both sides.
42 is less than or equal to x.
Hence, the correct answer is (C).
