Answer:
5
0.9990
0.0401
Step-by-step explanation:
1) Probability(diamond) = 13/52 = 1/4
Probability(not diamond) = 1 - 1/4 = 3/4
Probability of atleast one diamond = 1 - probability of no diamonds
= 1 - (¾ × ¾) = 1 - 9/16 = 7/16
Expected no. = np = 12 × 7/16
= 5.25 = 5 (nearest whole no.)
2) let X be the no. of people winning the prize.
Then X ~ B(12, 7/16)
[ X follows a Binomial Distribution with 12 trials and probability of success (winning prize) = 7/16 ]
P(atleast 1 winning) = 1 - P(X=0)
= 1 - (9/16)^12
= 0.9989966087
= 0.9990 (4 dp)
3) P(X=2) = 12C2 × (7/16)² × (9/16)^10
= 0.0400613268
= 0.0401 (4 dp)
Answer:
All parallelograms are quadrilaterals
Step-by-step explanation:
Answer:
12/13
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
Given :
The logarithm function can be converted to an exponential function as
![[\log_ab=c]](https://tex.z-dn.net/?f=%5B%5Clog_ab%3Dc%5D)
can be expressed as ![[a^c=b]](https://tex.z-dn.net/?f=%5Ba%5Ec%3Db%5D)
Similarly for the given expression
We can write,
Using property of negative exponents ![[a^{-b}=\frac{1}{a^b}]](https://tex.z-dn.net/?f=%5Ba%5E%7B-b%7D%3D%5Cfrac%7B1%7D%7Ba%5Eb%7D%5D)
So we can write that as:
Writing the exponents in radical form as ![a^{\frac{b}{c}}=(\sqrt[c]{a})^b](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%28%5Csqrt%5Bc%5D%7Ba%7D%29%5Eb)
Taking cube root both sides to remove the cube.
![\sqrt[3]{(\sqrt{x})^3}=\sqrt[3]{8}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%28%5Csqrt%7Bx%7D%29%5E3%7D%3D%5Csqrt%5B3%5D%7B8%7D)
Squaring both sides to remove square root.
∴ 
Answer:
obtuse isosceles
Step-by-step explanation:
isosceles angles
