Answer:
B. 0.0625
Step-by-step explanation:
Given that the program has graduated and undergraduates enrolled,
Let the probability of selecting a graduate = p(g)
And the probability of selecting an undergraduate = p(u)
p(g) = p(u) = 50% = 0.5
Therefore,
Probability of selecting 4 students who are undergraduates
=p(u)p(u)p(u)p(u)
= 0.5 × 0.5 × 0.5 × 0.5
= 0.0625
The right option is B
Answer:
3(t+2)
Step-by-step explanation:
As with any problem involving division of fractions, you can invert the denominator and multiply.
Your knowledge of the factoring of the difference of squares helps. If that doesn't work for you, you can always use synthetic division or polynomial long division to find the quotient of (t^2-4) and (t-2).
![\displaystyle\frac{\frac{4t^2-16}{8}}{\frac{t-2}{6}}=\frac{4(t^2-4)}{8}\cdot\frac{6}{t-2}\\\\=\frac{3(t+2)(t-2)}{t-2}=3(t+2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cfrac%7B4t%5E2-16%7D%7B8%7D%7D%7B%5Cfrac%7Bt-2%7D%7B6%7D%7D%3D%5Cfrac%7B4%28t%5E2-4%29%7D%7B8%7D%5Ccdot%5Cfrac%7B6%7D%7Bt-2%7D%5C%5C%5C%5C%3D%5Cfrac%7B3%28t%2B2%29%28t-2%29%7D%7Bt-2%7D%3D3%28t%2B2%29)
X = 160 because you can set this problem up like an equation by having all the angles added together to equal 720
I believe x and y in the equation show a direct variation
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant
Answer: p > 9/2
Step-by-step explanation:
1st method, without dividing by negative number.
-8(p+2) < -52
-8p - 16 < -52
-16 < -52 + 8p
-16 + 52 < 8p
36 < 8p
36/8 < p
p > 9/2
Second method,
-8(p+2) < -52
p+2 > (-52/-8)
(NOTE: dividing or multiplying by negative number will change the sign.
p > (13/2) -2
p > (13-4) / 2
p > 9/2