105/2^9
Step-by-step explanation:
The probability of getting a head in a single toss
p=12
The probability of not getting a head in a single toss
q=1−12=12
Now, using Binomial theorem of probability,
The probability of getting exactly r=4 heads in total n=10 tosses
=10C4(1/2)4(1/2)10−4
=10×9×8×7/4! 1/2^4 1/2^6
=2^44⋅9⋅35/24(2^10)
=105/2^9
Answer:
C. 55°
Step-by-step explanation:
Note the total measurement of angles for a triangle. The total measurement of all angles in a triangle = 180°
Note that m∠C is a right angle (as shown through the square), and that right angles = 90°
Subtract to find the measurement of the unknown angle (∠B)
∠B = 180 - (∠A + ∠C)
∠B = 180 - (35 + 90)
Simplify. Combine like terms. First, add (solve parenthesis), then subtract.
∠B = 180 - (125)
∠B = 55
m∠B = C. 55°
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Answer:
<u>8 hits</u>
Step-by-step explanation:
The ratio is :
- hits : times-at-bat = 4 : 9
Now, we have 18 times at bat.
Multiply both sides of the ratio with 2 :
- 4 x 2 hits : 9 x 2 times at bat
- <u>8 hits</u> : 18 times at bat
Harry should make <u>8 hits</u> in 18 times at bat.
Answer:
The nth terms: 15,24,33,42,51,60,69,78,87,96,105...
Step-by-step explanation:
The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula
