Answer:
1. 7¹⁰
2. 9⁸
Step-by-step explanation:
1. 7 = 7¹
Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.
7⁹⁺¹ = 7¹⁰
2. Add exponents
9²⁺⁶ = 9⁸
We need to correctly choose exactly 4 out of the 6 drawn numbers.
Apply hypergeometric distribution:
a=number of correctly chosen numbers = 4
A=number of correct (drawn) numbers = 6
b=number of incorrectly chosen numbers = 2
B=number of undrawn numbers = 44-6 = 38
Then by the hypergeometric distribution
P(a,b,A,B)
=C(A,a)C(B,b)/C(A+B,a+b) [C(n,r)=combination of r objects taken out of n]
=C(6,4)C(38,2)/C(44,6)
=15*703/7059052
= 10545/7059052
= 0.001494 (to the nearest millionth)
Answer: probability of winning third prize is 10545/7059052=0.001494
Perhaps you meant [(√(x^7))^(1/5)]^3
The fifth root of the square root of x to the seventh cubed?
√(x^7)=(x^7)^(1/2)=x^(7/2)
(x^(7/2))^(1/5)=x^(7/10)
(x^(7/10))^3
x^(21/10)
Sorry I did my best to decipher what you wanted to express.
In general:
(a^b)^c=a^(b*c) just work from the inside to the outside...
Answer:
x-intercept: (1, 0)
Step-by-step explanation:
The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (<em>a</em>, 0). Looking at the two points on the graph, one of them crosses the x-axis at point (1, 0). This represents the x-intercept of the line.
Therefore, the x-intercept of the line is (1, 0).
