Initial value is when x=0
that is
f(0)=a(b^0) or
f(0)=a(1) or
f(0)=a
remember that x^0=1 for all values of x
Answer:
Step-by-step explanation:
Answer:
k = 28
Step-by-step explanation:
Step-by-step explanation:
Given:
population mean, mu = 57 lb
population standard deviation, sigma = 6.3 lb
Sample mean, x = 60.2 lb
Sample size, n= 45
Null hypothesis x = mu (i.e. sample mean is not greater than usual, using a significance level of 0.05)
Here we have a case where population mean and standard deviation are known (given).
We calculate the z-score
z=(x-mu)/(sigma/sqrt(n))
= (60.2-57)/(6.3/sqrt(45))
= 3.41
P(x>mu) = P(z>3.41) = 0.99968 >> 0.95 (one sided tail)
Therefore we can reject the null hypothesis and accept the alternate hypothesis that fish are larger than usual.
The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.
Step-by-step explanation:
The given is,
Area of right isosceles triangle is 192 square centimeters
Step:1
Formula for area of right isosceles triangle is,
............................(1)
Where, a - Sides of triangle
a = h = b
Here, h - Height of triangle
b - Base of triangle
From given,
Area, A = 192 square centimeters
Equation (1) becomes.
= 384
Take square root on both sides,
a = 19.596 centimeters
Height of right isosceles of triangle, a = h = 19.596 centimeters
Result:
The height of the triangle is 19.596 centimeter, if a right isosceles triangle has an area of 192 square centimeters.