Answer:
<em>1/4</em>
Step-by-step explanation:
Flip a fair two sided coin 4 times, the probability the first or last flip is a tail is
P = (1/2) x 1 x 1 x (1/2) = 1/4
(The probability of getting tail in first flip = 1/2, in the 2nd and 3rd flip, tail and head are both accepted, the probability of getting tail in last flip = 1/2)
Hope this helps!
Answer: 
Step-by-step explanation:
The pool of rats from which the researcher is drawing participants is composed of the following:
23 male albino rats
21 male spotted rats
35 female albino rats
11 female spotted rats
Total rats = 23+21+35+11 =90
After drawing first rat , total rats remained = 89
The probability of choosing a male albino rat and then either a female albino rat or a male spotted rat =
Answer:
$452,340
Step-by-step explanation:
Fencing (perimeter):
255+255=450+450+450= 1860 feet
1860 / 3 = 620 yards
620 x $27 = $16,740
Seed (area):
Square area: a = lw
a = 450 x 450
a = 202500 feet
202500 x $2 = $405,000
Triangle area: a = 1/2bh
a = 1/2 x 255 x 120
a = 1/2 x 30600
a = 15300
15300 x $2 = $30,600
Add the cost of the fencing and seeds up.
$16,740 + $405,000 + $30,600 = $452,340
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
