Answer:
In this equation n = 15
Step-by-step explanation:
In order to find this, we first must make each term a base 3. Since 9 is 3 squared, we can change it easily to base 3.
3^5 * 9^5 = 3^n
3^5 * (3^2)^5 = 3^n
3^5 * 3^10 = 3^n
3^15 = 3^n
Now that we have both in simple term of 3 raised to a power, we can eliminate the 3's and see that 15 = n
Answer:
B. 5x - 4y = 12
Step-by-step explanation:
Let's convert this to slope-intercept form to interpret the equation easier.
5x - 4y = 12
Subtract 5x from both sides.
-4y = -5x + 12
Divide both sides by -4.
y = 5/4x - 3
Based on this, we know the slope is 5/4 and the y-intercept is (0, -3). When you count the rise over run in the picture and look at the y-intercept, they match.
Answer:
10π cm
Step-by-step explanation:
Given
Area of the circle=25π cm^2
Solution
πr^2=25π
r^2=25
r=√25
r=5
So circumference of the circle=2πr
=2π×5
=10π cm
So the answer is 10π cm
Answer:
0.0016
Step-by-step explanation:
Batting average, p = 0.26
n = 7
x = 6
With p = 0.26 as success rate
1-p is equal to failure rate which is = 0.74
We have to solve this by using the binomial distribution formula.
P(X= x)
= nCx * p^x * (1-p)^(n-x)
P(X = 6)
=7C6 × 0.26^6 ×(1-0.26)^(7-6)
= 7 × 0.0003089 × 0..74¹
= 0.0016
So probability that he has exactly 6 hits in his next 7 bats is equal to 0.0016.
