Answer:
d= im not sure/ sorry
a= three times a number equals nine
b= fifteen divided by a number equals three
c= a number minus six equals thirteen
d= twenty four times a number equals five hundred fifty-two
Because the triangle ABC is isosceles, the leg of the triangle has the same length. For example, the length of one leg is a, then the other leg is a too.
Input the numbers to pythagorean formula
a² + b² = c²
a² + a² = 8²
2a² = 64
a² = 64/2
a² = 32
a = √32
a = √16 × √2
a = 4√2
The length of each leg is 4√2 inches
It should be 31.41 bc the equation is 2•pi•radius
Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.
Standard deviation:
Square root of the variance. So
The standard deviation of this probability distribution is 1.2.
Area = length x width.
24 = (x + 2)(x - 3) = x² - x - 6
x² - x - 30 = 0
(x + 5)(x - 6) = 0
We can eliminate the root x = - 5 because dimensions cannot be negative. So, the only valid answer is x = 6
The length = x + 2 = 6 + 2 = 8 in.
The width = x - 3 = 6 - 3 = 3 in.
