Answer:
see work attached and shown
Answer:
DIABETES
Step-by-step explanation:
= 1 1/2 ÷ 2 / 3
= 3 / 2 ÷ 2 / 3
= 3 / 2 · 3 / 2
= 9 / 4
2.5 / 1 is your anwer : )
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is 
The sample proportion is 
The sample size is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically evaluated as

=> 
=> 
The p-value is mathematically represented as

Form the z-table

=> 
=> 
Given that
we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim
Answer:
*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*
1a) 1/6
There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.
1b) 1/4
There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.
2) 1/8
Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
3a) 1/8
There are 4 shirt options to choose from. The chance of picking blue is <u>1/4</u>. There are 2 pant options. The chance of picking black is <u>1/2</u>. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.
3b) 1/4
There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is <u>1/2</u>. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.