Answer:
Step-by-step explanation:
Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 20 inches
σ = 2.6 inches
the probability that a given infant is between 14.8 and 25.2 inches long is expressed as
P(14.8 ≤ x ≤ 25.2)
For x = 14.8,
z = (14.8 - 20)/2.6 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 25.2
z = (25.2 - 20)/2.6 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75
It should take six hours for him to stay below $315 after you add the flat rate of $180. Goodluck :)
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0
3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
Answer:

Step-by-step explanation:
An equation in the vertex form is written as

Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as

In this case we have the equation
.
Where

Then the x coordinate of the vertex is:

The y coordinate of the vertex is replacing the value of
in the function

Then the vertex is:

Therefore The encuacion excrita in the form of vertice is:

To find the coefficient a we substitute a point that belongs to the function 
The point (0, -1) belongs to the function. Thus.


<em>Then the written function in the form of vertice is</em>

Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride