Answer:
Step-by-step explanation:
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Answer:
The condition are
The Null hypothesis is 
The Alternative hypothesis is
The check revealed that
There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is n = 20
The sample mean is 
The standard deviation is 
The Null hypothesis is 
The Alternative hypothesis is
So i will be making use of
level of significance to test this claim
The critical value of
from the normal distribution table is 
Generally the test statistics is mathematically evaluated as

substituting values


Looking at the value of t and
we see that
so we fail to reject the null hypothesis
This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Answer:
7/20 is left
Step-by-step explanation:
2/8 (reduced is 1/4) for food
1/5 for prizes
2/10 (reduced is 1/5) for decorations
? for what's left
Add all the fractions up by finding a common denominator.
1/4 + 1/5 + 1/5
5/20 + 4/20 +4/20 = 13/20
He spent 13/20 of his money on this stuff. What part of that is left?
1 - 13/20 (AKA 20/20 - 13/20)
= 7/20
Answer:
2%
Step-by-step explanation:
In this case each one is an independent event, therefore, the multiplication of each one would be the final probability
We have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles, that is, there are 5 + 4 + 3 12 Marbles in total.
Now if I draw a red one, the probability would be: 5/12
When drawing another red, the probability would be: 4/11
When taking the green: 4/10
When removing the blue: 3/9
Finally, the final probability is:
P = (5/12) * (4/11) * (4/10) * (3/9)
P = 0.020
In other words, the probability of this happening is 2%
Answer:
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