Answer: x = 29 and y = 28
Step-by-step explanation:
Opposite angles in parallelogram are equal.
So,
A and C are opposite angles.
B and D are opposite angles.
4x = 4y + 4
3y - 20 = 2x + 6
Solve these two equations to find x and y.
Answer:
A. The larger the sample size the better.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
In this question:
We have to look at the standard error, which is:
This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.
Answer:
1
Step-by-step explanation:
We found the factors 21,30,44 . The biggest common factor number is the GCF number. So the greatest common factor 21,30,44 is 1.
<span>To answer this question, you need to make a list of the condition that has to be met.
To made it easier, let say for number 54,321 = ed,cba
a=1 (oneth)
b=2</span>(tenth)<span>
c=3(hundreth)
d=4(thousanth)
e=5(tenthousanth)
Condition that doesn't refer each other should be put on top
1. The number has seven digits.
</span><span>2. None of the digits are zero
</span>3. The number is between 1,000 and 10,000 (mean e=1 or e=0. notice that e can be 0 because it the last digit so it if it 0 then it won't be written)<span>
Then the condition that refers each other should be:
4. The digit in the tenths place is %150 of the digit in the thousands place.(b= 1.5d)
5. The digit in the hundredths place is 6/5 of the sum of the digits in the tenths place and the digit in the thousands place.[c= 6/5(b+d)]
6. The sum of all the digits in the number is 17. (a+b+c+d+e=17)
Inserting number 4 into number 5 would result
c=6/5(1.5d+d)
c= 6/5(2.5d)
7. c=3d
From here you can convert b into d(equation 4) and convert c into d(equation 7). If you insert both into equation 6 it would be:
a+(1.5d)+(3d)+d+e= 17
a+ 5.5d+e=17
</span>From equation 4 (b= 1.5d) it is clear that d cannot be an odd number because the result will have 0.5(digit shouldn't have fraction).
<span>From this point, it is clear that d should be 2 because 3 would result in 0.5 number and >4 will exceed 17 and 1 are odd number. (remember no 0 allowed).
</span><span>Put d=2 into equation 7 will result:
</span>a+ 5.5(2)+e=17<span>
a+e= 17-11
a+e=6
since e possibility only 0 and 1, then a possibility is only 5 or 6. The list would be:
12,635
2,636
</span>