Answer:
Step-by-step explanation:
His original gross monthly salary was $1083.34. This means that the total amount that he earned that he earned in the first 6 months would be
6 × 1083.34 = $6500.4
After working satisfactorily for 6 months, Dave received a 7% raise. The amount by which it was raised would be
7/100 × 6500.4 = $455.00
His salary for the next 6 months would be
6500.4 + 455.00 = $6955.40
Dave's gross annual salary would be
6955.40 + 6500.4
= $13455.8
Answer:
The mean is 4.5 and the standard deviation is 1.44.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform probability distribution is:

The standard deviation of the uniform probability distribution is:

Uniformly distributed random variable ranging from 2 to 7.
This means that
.
So


The mean is 4.5 and the standard deviation is 1.44.
Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
<h3><u>Solution:</u></h3>
Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
We have to find time taken by Max to cover the same distance walking at 4.2 km/h
<em><u>The relation between speed and time is given as:</u></em>

<em><u>CASE 1:</u></em>
It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h
Let us first find the distance covered
Time taken = 1.8 hours and speed = 3.5 km/hr

Hence distance covered is 6.3 km
<em><u>Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr</u></em>

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours
Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
Answer: bob will take a while
Step-by-step explanation: