First add 5 to 16, so -3x=21
then divide by -3, so the answer is
x= -7
For this case we must find

By definition we have to:

We have the following functions:

Now, applying the given definition, we have:

Answer:

Answer:
As the model is shown below.
As per model a thing is divided into five parts.There are three things and each one of them is being divided into five equal parts.
The value of fifth part of each of them is 1/5.
If we consider each part of a thing as one,
So, total number of parts = 15
Total thing=3
So, the answer of the above model is 3÷ 15.
Out of all the options which are 15÷15 , 3÷115 , 3÷15, 15÷15 →3÷15 is correct.
Answer:

Step-by-step explanation:
<u>Confidence Interval</u>
When the population standard deviation
is known, the formula for a confidence interval for a population mean
is:

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

Calculating the confidence interval


Or, equivalently

H(t) = Ho +Vot - gt^2/2
Vo = 19.6 m/s
Ho = 58.8 m
g = 9.8 m/s^2
H(t) = 58.8 + 19.6t -9.8t^2/2 = 58.8 + 19.6t - 4.9t^2
Maximun height is at the vertex of the parabole
To find the vertex, first find the roots.
58.8 + 19.6t - 4.9t^2 = 0
Divide by 4.9
12 + 4t - t^2 = 0
Change sign and reorder
t^2 - 4t -12 = 0
Factor
(t - 6)(t + 2) =0 ==> t = 6 and t = -2.
The vertex is in the mid point between both roots
Find H(t) for: t = [6 - 2]/2 =4/2 = 2
Find H(t) for t = 2
H(6) = 58.8 + 19.6(2) - 4.9(2)^2 = 78.4
Answer: the maximum height is 78.4 m