Answer:
the slope of a line is the rise over run from plot to plot.
a. 3/5
b. 3/4
c. 2
Step-by-step explanation:
i hope this helps :)
Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Answer: a.) $50188 to $57812
Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ± 
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ± 
54,000 ± 
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>
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b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.
We will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
<h3>How do you find out the best salary option?</h3>
Given that, Salary per year = $78,000.
Hourly employees get paid $26 per hour, but get $39 per hour for each hour over 40 hours.
The total number of working hours from Sunday to Saturday is 47.
The payment for 47 hours of work per week will be given below.
Salary per week = 
Salary per week = $1313
We know that there are 52 weeks in one year. So the salary for one year is given below.
Salary per year = 
Salary per year = $68276
We can see that we calculate the yearly salary with per hour rate, the amount will be lower than the salary per year $78000.
Hence we will recommend option C which is Salaried pay. Salaried employees make more per week than hourly employees.
To know more about years and weeks, follow the link given below.
brainly.com/question/1123016.
Answer:
The man will take 64 seconds to reach to the south shore of the frozen pond.
Step-by-step explanation:
Given:
Weight of the man = 748 N Mass of the man,
=
=
kg
Radius of the pond
= 4 m
Mass of the textbook = 1.2 kg
Velocity at which the textbook is thrown = 4 ms^1
We have to find the velocity of the man after the throw.
Let the velocity is
.
Now using law of conservation of momentum we can find the
value.
Considering 
And initial velocity of both the man and book i.e 
So,
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒
ms^-1
Here the negative velocity is meant for opposite direction of the throw.
Numerically we will write,
With this velocity the man will move towards south.
We have to calculate the time taken by the man to move to its south shore.
And we know 
Let the time taken be
and
and
then, 
Then
⇒
⇒ Plugging the values.
⇒ 
⇒
sec
The man will take 64 seconds to reach to the south shore of the frozen pond (circular).