Answer:
The initial value is 29.5
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope
b is the y-intercept ( also called initial value)
we have the points
(3,42.25) and (5,50.75)
Find the slope m
The formula to calculate the slope between two points is equal to
substitute the values
substitute in the equation
<em>Find the value of b</em>
with the point (3,42.25) ( or the other given point)
substitute the value of x and the value of y in the equation and solve for b
substitute
The linear equation is
The initial value is the y-intercept (value of y when the value of x is equal to zero)
For x=0
Therefore
The initial value is 29.5
We have been given that the lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years. We are asked to find the probability of a lion living longer than 10.1 years using empirical rule.
First of all, we will find the z-score corresponding to sample score 10.1.
, where,
z = z-score,
x = Random sample score,
= Mean
= Standard deviation.
Since z-score of 10.1 is 
. Now we need to find area under curve that is below one standard deviation from mean.
We know that approximately 68% of data points lie between one standard deviation from mean.
We also know that 50% of data points are above mean and 50% of data points are below mean.
To find the probability of a data point with z-score , we will subtract half of 68% from 50%.
Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.
Step-by-step explanation:
<h2>
______________________</h2>
( First of all to convert quinary to decimal we need to multiply them by 5 )
So let's solve now.....
= 221
Solution,
Converting quinary number to decimal .....
= 2 × 5² + 2 × 5¹ + 1 × 5⁰
The value of any number to the power 0 is 1 ...
= 2 × 25 + 2 × 5 + 1 × 1
= 50 + 10 + 1
= 61..
<h2>
______________________</h2>
Hence the answer is 61....
<h2>
______________________</h2>
Answer:
it cannot be simplified
Step-by-step explanation:
Answer:
d is the ans
Step-by-step explanation:
D is the answer
