Answer:
Margin of error = 4.21 ounces
Step-by-step explanation:
According to the Question,
- Given That, You measure 25 turtles' weights, and find they have a mean weight of 31 ounces. Assume the population standard deviation is 12.8 ounces
Therefore, Sample mean = 31 ounces , Sample size(n) = 25 , Alpha(α) = 0.10 & Population standard deviation(σ) = 12.8 ounces
- Thus, Margin of error =
× σ / √n ( at α=.010 is 1.645)
Putting The Values, We get
1.645 × (12.8 / √25 ) ⇒ 4.2112 ≈ 4.21
Thus, the maximum margin of error associated with a 90% confidence interval for the true population mean turtle weight is 4.21 ounces
A triangle will be produced from the intersection of the vertical plane and pyramid. The correct options are triangles and trapezoid.
<h3>What is a triangle?</h3>
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
Given that a vertical plane passes through a pyramid that has a horizontal base. Therefore, when the vertical plane and the pyramid meets or intersect the two dimensional figure that will be produced when the two intersect is triangle. It can also be trapezoid if the vertical plane does not intersect exactly in mid of the pyramid.
Hence, a triangle or a trapezoid will be produced from the intersection of the vertical plane and pyramid.
Learn more about Triangle here:
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Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
Answer:
bran to blueberry: 4:1
banana nut to bran: 1 to 2
total to corn: 12 muffins to 5 muffins
bran to total: 1/3
Step-by-step explanation:
hope that helped.
