Answer:
Volume
Figure 1 = 56 cube units
figure 2 = 60 cube units
figure 3 =72 cube units
Surface area
Figure 1 = 100 square units
figure 2 = 104 square units
figure 3 =108 square units
Step-by-step explanation:
From the all figure we can see that each figure made up of unit cubes
<u>Figure 1</u>
<u>Surface area </u>
Large cuboid portion =2 x (6 x 2 ) + (6 x 4) + 2 x(4 x 2) + 16
= 24 + 24 + 16 + 16 = 80 unit square
Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20
Total surface area = 80 + 20 = 100 unit square
<u>Volume</u>
Small cuboid = 4 x 2 = 8
Large cuboid = 6 x 4 x 2 = 48 cube unit
Total volume = 48 + 8 = 56 cubs units
<u>Figure 2</u>
<u>Surface area </u>
Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square
<u>Volume</u>
Small cuboid = 6 x 2 = 12
Large cuboid = 6 x 4 x 2 = 48 unit square
Total volume = 48 + 12 = 60 cube units
<u>Figure 3</u>
<u>Surface area </u>
Total surface area = 48 + 36 + 24 = 108 square units
<u>Volume</u>
Total volume = 6 x 4 x 3 = 72 cube units
Answer:
x = 17
Step-by-step explanation:
We are going to call the missing angle in triangle EDC, "y"
x+y+100=4x+49+y
Eliminate the "y" on both sides
x+100=4x+49
move the x by subtracting the x on the left from the right
100= 3x +49
Move the numbers by subtracting 49 from 100
51 = 3x
Divide both sides by 3
17=x
Answer:
When y=32, x=16.5
Step-by-step explanation:
Find x when y = 32, given that x varies inversely as y, and x = 132 when y = 4.
We are given:
x varies inversely with y
We can write it as: 
We have x = 132, when y=4
We can find value of k by using these values
We need to find x when y=32
So, when y=32, x=16.5
Answer:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
