Step-by-step explanation:
d if not d a.................
7 would probably end up being 6 12/12 if I am doing his correctly.
Answer:
a. 96 in²
Step-by-step explanation:
The surface area of the prism = the sum of the area of each part of the net shown
✔️Area of the 2 equal triangles = 2(½*b*h)
b = 4 in
h = 3 in
Area of the two triangles = 2(½*4*3) = 12 in²
✔️Area of the rectangle 1 with the following dimensions:
L = 7 in
W = 3 in
Area = L*W = 7*3 = 21 in²
✔️Area of the rectangle 2 with the following dimensions:
L = 7 in
W = 4 in
Area = L*W = 7*4 = 28 in²
✔️Area of the rectangle 3 with the following dimensions:
L = 7 in
W = 5 in
Area = L*W = 7*5 = 35 in²
✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²
In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.
..........(Equation 1)
Checking the diagram given, we see that:
VT=y, WS=22, VU=8, ST=x-2
WU=WV+VU=12+8=20
TU=5
SU=ST+TU=(x-2)+5=x+3
Thus, substituting the required values in (Equation 1) we get:
Now, as can be clearly seen, to find y we will use the first two ratios as:
In a similar manner, to find the value of x we can use the last two ratios:
After cross multiplication we get:
Which can be simplified as:
Thus,
Therefore, the required answer is:
x=9.5 and y=8.8
A type I and type II error of the given question are respectively;
A) concluding that the local mean income exceeds $45000 when in fact it does not and therefore opening a restaurant in a locale that would not support it.
B) concluding that the local mean income does not exceed $45000 when in fact it does not and therefore deciding not to open a restaurant in a locale that would support it.
<h3>What is Type 1 and a Type II error?</h3>
In statistics, a type I error simply means rejecting the null hypothesis when it's actually true. Meanwhile, a Type II error means failing to reject the null hypothesis when it's actually false.
Now, in this question what we will consider to be a type I error is concluding that the local mean income exceeds $45000 when in fact it does not and therefore opening a restaurant in a locale that would not support it.
A type II error will be concluding that the local mean income does not exceed $45000 when in fact it does not and therefore deciding not to open a restaurant in a locale that would support it.
Read more about Type I and II errors at; brainly.com/question/16012410