Answer:
14
Step-by-step explanation:
assuming that the shirts in the question are the only shirts bought, 2+5 is 7, and the other half would also be 7, making it 14
Answer:
27.5
Step-by-step explanation:
The value of
and a = 184
We let O be the centre, A₁ A A₂ , B₁ B B₂ represent the chords with length 10, 14 respectively.
Connecting the endpoints of the chords with the centre, we have several right triangles. However, we do not know whether the two chords are on the same side or different sides of the centre of the circle.
By the Pythagorean Theorem on Δ OBB₁,
we get x^2 + 7^2 = r^2
⇒ x =
, where x is the length of the other leg. Now the length of the leg of Δ OAA₁ is either 6 + x or 6 - x depending whether or not A₁A₂, B₁B₂ are on the same side of the center of the circle:
±
) + 5² = r²
12 ±
= 0
Only the negative works here (thus the two chords are on opposite sides of the center), and solving we get x=1, r =
. The leg formed in the right triangle with the third chord is 3 - x = 2, and by the Pythagorean Theorem again,

⇒ 
a = 184
To learn more about Pythagoras theorem from the given link
brainly.com/question/343682
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Answer:
421
Step-by-step explanation:
Margin of error = E = 0.04
Confidence Level = 90%
z value associated with this confidence level = z = 1.645
Previous estimate of population proportion = p = 0.54
q = 1 - p = 1 - 0.54 = 0.46
The formula of Margin of Error for population proportion is:

Here, n is the sample size.
Re-arranging the equation for n and using the values we get:

Thus the minimum sample size required to estimate the proportion of adults who have high speed internet access is 421
3 + 2 + 1 + 2 = 8, which is the amount of sweaters.
The probability of a brown sweater is 2 / 8 = 0.25
And the probability of a green sweater is 1 / 8 = 0.125.
Multiply the two probabilities together to get the probability of choosing brown then green:
0.25 * 0.125 = 0.03125.
To convert a decimal to fraction, you multiply the numerator and denominator, or in this case

by 1000 which gets

Which can be simplified to:

.
Hope this helps.