Answer:
There is 1 number that is a multiple of both 3 and 4.
Step-by-step explanation: you need to set up the frequency chart. The columns can be Multiples of 3 and not multiples of 3. The rows can be Multiples of 4 and not multiples of 4 like shown in step 1. in attached file
Then we start adding in values I will add 20 as the total numbers as in step 2 in attached file.
Next I place in the Multiple of 9 that is not 3, and the total multiples of 3, and total multiples of 4 in step 3.
Based on the totals I can assume that there are 10 that are not multiples of 4 and ten that are not multiples of 3 shown in step 4
In step 5 I fill in the insides so that the totals will add up so we know that for multiples of 3 9+1=10 so I fill in the one at the top left corner.
In step 6 the only numbers left to fill in the totals would be 9 and 1 for values that are not multiples of 3 and not multiples of both.
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Answer:
Does this sample provide convincing evidence that the machine is working properly?
Yes.
Step-by-step explanation:
<u>Normal distribution test:</u>
Where,
Once the significance level was not given, It is usually taken an assumption of a 5% significance level.
Taking the significance level of 5%, which means a confidence level of 95%, we have a z-value of
Therefore, we <u>fail to reject the null</u>. It means that the hypothesis test is not statistically significant: the average length is not different from 1.5!
The way you figure this out is by taking the length (5/6) and subtracting the width (3/8). in order to subtract fractions, they need a common denominator. the number 24 works well for this as 8*3=24 and 6*4=24. in order to keep everything equivalent, we can only multiply by 1, but we can rewrite 1 by taking a number over itself, such as 3/3 and 4/4.
so if we take 5/6 and multiply by 4/4 (which is still equal to 1) we get 20/24.
next we multiply 3/8 by 3/3 (which is still equal to 1) we get 9/24.
now that we have a common denominator, we can simply subtract them. 20/24-9/24=11/24
this means our answer is C. 11/24 ft
For 12. Neil's mistake was that he didn't combine like terms of both the constant and numbers with both the variable of k. 9 and -8 are both constants so you combine it and get an answer of 1 since 9+ -8 is 1. 12k and k both have the variable of k so you combine it and get 13k.
The simplified version should be: 13k+1=12k-1
For 13. The third expression would be equivalent to the expression above listed as 12r+6s. The third expression is 4(3r+s)+2s and if you do PEMDAS you will get the same answer. Parentheses, 4 times 3r is 12r and 4 times s is 4s and after that you get 12r+4s+2s. As said before, if they have like terms you combine it so you get 12r+6s and it will equal the same as the one shown above.
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