Answer:
The answer is below
Step-by-step explanation:
a) Given that the number of sample (n) = 300, therefore since n > 30, the distribution of the sample means is going to be normally distributed.
b) The mean of the distribution of sample means (also known as the Expected value of M) is equal to the population mean μ.
c) The standard deviation of the distribution of sample means is called the Standard Error of M, it is given by:
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Answer:
<h3>m∠1 = 41°</h3><h3>m∠2 = 41°</h3>
Step-by-step explanation:
<h3>m∠1 = m∠2</h3>
x = 5°,
m∠1 = (6x + 11)°
You have a 2/6 chance of rolling <span>a number greater than 4 or less than 3 which reduces to 1/3
2/6 = 1/3</span>
Answers:
- Total amount of money = 220 dollars
- Amount Farah gets = 100 dollars
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Explanation:
- F = amount Farah gets
- S = amount Shaiyara gets
- Z = amount Zahin gets
The money is divided in the ratio 10:7:5
This means that
for some positive real number x.
Since Shaiyara gets $20 more than Zahin, we can say,
S = Z+20
Let's plug in S = 7x and Z = 5x and solve for x
S = Z+20
7x = 5x+20
7x-5x = 20
2x = 20
x = 20/2
x = 10
Therefore,
- F = 10x = 10*10 = 100
- S = 7x = 7*10 = 70
- Z = 5x = 5*10 = 50
The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.
The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.
