Let x be he length of middle piece.
3x = length of longer piece.
x-5 = length of shortest piece.
x + 3x + x-5 = 40
5x - 5 = 40
5x = 45
x = 45/5
x = 9. ( Size of middle piece )
Given that the longer piece is 3 times the size of middle piece,
Longest piece = 3 x 9 = 27.
Size of longest piece = 27 feet
Size of middle piece = 9 feet
Size of smaller piece = 40 - (27+9)
= 40 - 36
= 4 feet.
Thank you.
0.6 miles.
Since there is 0.8 miles to hike in total, she hiked 0.2 miles.
To solve, we just easily subtract the amount that Liz hiked from the amount that needs to be hiked.
She hiked 0.2 miles, which means we need to subtract 0.2 from 0.8.
8 - 2 = 6
The answer is 0.6 miles.
Answer:
Yes.
Step-by-step explanation:
A right triangle, by definition, must have at a 90° angle, typically denoted by a square. In the given picture, there is a square within the triangle where an angle is, denoting that it is a right angle. ∴ by definition given above, this is a right triangle.
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Answer:
20-25
Step-by-step explanation:
i think but not sure
Answer:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
Step-by-step explanation:
On this case we need to apply a Chi squared goodness of fit test, and the correct system of hypothesis would be:
H0: The distribution of players featured on the cards is 0.30 rookies, 0.60 veterans, and 0.10 All-Stars.
Ha: At least one of the proportions in the null hypothesis is false.
And in order to test it we need to have observed and expected values. On this case we can calculate the Expected values like this



The observed values are not provided. The statistic on this case is given by:

And this statistic follows a chi square distribution with k-1 degrees of freedom on this case k=3, since we have 3 groups.
We can calculate the p valu like this:

And if the p value it's higher than the significance level we FAIL to reject the null hypothesis. In other case we reject the null hypothesis.