Answer: 28 cm
Step-by-step explanation:
x - the length of the shorter piece
2x - the length of the longer piece
Together they are 42 cm long.
Compose te equation:
2x + x = 42
3x = 42
x = 14 cm
The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).
Two times longer than 14 is 28. The longer piece is 28 cm.
Answer:
1
The correct option is C
2
The correct option is C
3
The correct option is A
4
The correct option is B
Step-by-step explanation:
From the question we are told that
The population mean is 
The standard deviation is 
The sample size is 
The sample mean is 
Generally
The null hypothesis is 
The alternative hypothesis is 
Given that the null hypothesis is true then the distribution of sample means
, from a sample size of 36 is mathematically represented as

=> 
According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large
so given that the sample size is large n = 36
Then the test is normally distributed and hence the standard deviation is 15
Generally the standard error of mean is mathematically represented as

=> 
=> 
Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

=> 
From the z-table (reference calculator dot net )

So

Answer:
D
Step-by-step explanation:
because its the only one that get the answer 3 2/3 which is the amount shown on the line.
Answer:
0.09
Step-by-step explanation:
The correct answer is that the variable does have a binomial distribution; P(success)=0.5; the number of trials is 5.
This is binomial because it has a fixed number of trials, the trials are independent of each other, the probability of success is constant from trial to trial, and there are only 2 outcomes.
Since success is getting an even number, and there are 3 even numbers out of 6, P(success)=3/6=0.5.
There are 5 trials because you are rolling the cube 5 times.