Answer:
Answer A because the rest can be multiplied and be like terms but A can't.
I think A
Answer:
y = 16
Step-by-step explanation:
y = 11 - x
of x is -5, subtitute it into the equation
y = 11 - (-5)
y = 11 + 5
y = 16
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
We calculate the z-score, by evaluating the z value of 0.96/2 = 0.48
The z-score for 0.48 = 2.054
Next, we multiply the z-score by the standard deviation.
i.e. 2.054 x 15 = 30.81
Next, we divide by the margin of error. (from the question, we want to estimate to within 3 minutes of the mean, thus our margin of error is 3.)
i.e. 30.81 / 3 = 10.27
Finally, we square the outcome,
i.e. 10.27^2 = 105.47
Therefore, to estimate within 3 minutes of the mean with 96% confidence, the researcher should take a minimum of 106 samples.