Answer:
x = ± 
i
Step-by-step explanation:
subtract 64 from both sides
9x² = - 64 ( divide both sides by 9 )
x² = - 
( take the square root of both sides )
x = ± 
= ± i
Answer:
Applying the Pythagorean theorem, the diagonal is calculated by:
D = sqrt(40^2 + 9^2) = 41
Hope this helps!
:)
1/28. The probability that both songs are rock songs is 1/28.
The easiest way to solve this problem is using probability.
This is a example of probability without replacement, using the probability property of P(A∩B) = P(A)*P(B).
The probability of choose a rock song is P(A) = 2/8, and the probability to choose the second song from the 7 songs remaining and be rock song assuming that the first song that she picked was rock song is P(B) = 1/7.
The probability that both songs are rock song is:
P(A∩B) = P(A)*P(B)
P(A∩B) = (2/8)(1/7) = 2/56
P(A∩B) = 1/28
Answer:
25
Step-by-step explanation:
GC and BD are 2 intersecting chords thus the measure of the angle formed is
∠DFC = 0.5( m arc CD + m arc BG ), that is
0.5(55 + BG) = 40 ( multiply both sides by 2 )
55 + BG = 80 ( subtract 55 from both sides )
BG = 25
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
