we know that
The vertex of the function is the point
The vertex of the function is the point
The x-coordinate of the vertex is equal to h
the y-coordinate of the vertex is equal to k
so
the value of h is
the value of k is
the equation is
therefore
<u>the answer is the option a</u>
Answer:
Probability that a battery will last more than 19 hours is 0.0668.
Step-by-step explanation:
We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.
<em>Let X = lifetime of a battery in a certain application</em>
So, X ~ N()
The z-score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = mean lifetime = 16 hours
= standard deviation = 2 hours
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)
P(X > 19) = P( >
) = P(Z > 1.50) = 1 - P(Z
1.50)
= 1 - 0.9332 = 0.0668
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>
Hence, the probability that a battery will last more than 19 hours is 0.0668.
Answer:
Step-by-step explanation:
Gradient
Equation of a line
- Sub one set of points into equation
Answer:
Step-by-step explanation:
14 times a number x : 14* x = 14x
Quotient of 14 times a number x an 9 :
5 less the quotient of 14 times a number x and 9 :