Given that arc GF has a measure of 108°, what is the measure of ∠ E?
2 answers:
Answer:
The measure of ∠ E is 108°.
Step-by-step explanation:
It is given that arc GF has a measure of 108°.
A part of the circumference is arc length. The arc length is defined as
where, r is radius and θ is central angle.
In the unit the arc length is equal to the the central angle.
Therefore the measure of ∠ E is 108°.
You might be interested in
Step-by-step explanation:
Given.
Take the second equation and subtract 2y to both sides.
Substitute x into the first equation and simplify.
Invert.
Substitute Y into your second equation.
Add -6 to both sides.
Answer:
(6, -3)
Answer:
Step-by-step explanation:
Answer:
The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.
Step-by-step explanation:
Given:
Weight of a given sample (x) = 2.33 oz
Mean weight (μ) = 1.75 oz
Standard deviation (σ) = 0.22 oz
The distribution is normal distribution.
So, first, we will find the z-score of the distribution using the formula:
Plug in the values and solve for 'z'. This gives,
So, the z-score of the distribution is 2.64.
Now, we need the probability .
From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.
But, we need area more than the z-score value. So, the area is:
Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.