Answer:
Step-by-step explanation:
By Inscribed Angle Theorem, the value of an inscribed angle enclosed by an arc is the half the value of that arc.
⇒ ∠RPQ = 108°/2
⇒ ∠RPQ = 54°
<span>You can calculate the following probabilities:
1. Given that a sampled student is in the Spanish Club, what is the probability they got the Spanish class they requested?
2. Given that a sampled student is not in the Spanish Club, what is the probability they got the Spanish class they requested? If there is a significant difference between the two probabilities, it indicates there is a bias in the selection procedure.
</span><span>Given that, a sampled student is in the Spanish Club, the probability they got the Spanish class they requested is given by 265/335. Given that, a sampled student is not in the Spanish Club, the probability they got the Spanish class they requested is given by 100/165.
</span>
<span>If a student is at the Spanish club, the probability they got the Spanish class they requested is 265/335 = 0.79. If a student is not in the Spanish club, the probability they got the Spanish class they requested is 100/165 = 0.61.
</span>
<span>Based on the calculation, all students do not have an equal chance of getting into the Spanish class that they requested.</span>
The factors of this equation are x = sqrt(6), x = -sqrt(6) and x = -5.
In order to find these by grouping, we start by just taking the first two terms. We then pull out the greatest common factor.
x^2 + 5x^2
x^2(x + 5)
Now we do the same for the last two.
-6x - 30
-6(x + 5)
Since the two parenthesis left behind are exactly the same, we can use them along with the factors pulled out, multiplied together.
(x^2 - 6)(x + 5)
Now to find the factors, we simply set both parenthesis separately equal to 0.
x + 5 = 0
x = -5
x^2 - 6 = 0
x^2 = 6
x = +/-sqrt(6)
Answer:
Answer Choice C
Step-by-step explanation:
Because it is dilated by a factor of 3
To convert celsius to Fahrenheit:
=》(0°C × 9/5) + 32 = 32°F
To convert Fahrenheit to celsius:
=》(32°F − 32) × 5/9 = 0°C
To convert kelvin to celsius:
=》 C = K - 273.15.
To convert Fahrenheit to kelvin :
=》°F = (K − 273.15) × 9/5 + 32.
Using these formulas,
1) 38°C
= (38°C × 9/5) + 32
= 100.4°F
2) 313 K
= 313K − 273.15
= 39.85°C
3) 85°F - 69°F
= 16° F ------> difference
In celsius :
= (16°F − 32) × 5/9 =
-8.889°C
4) At 3 p.m = 13°F
If temperature increases by 2°F,
At 5 p.m =》
13 + 4
= 17°F
5) 55°F - 5
= 50°F
In kelvin :
(50°F − 32) × 5/9 + 273.15
= 283.15K
Hope it helps ⚜
