Answer and explanation:
Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :
Strength Strength
High Low
High conductivity 74 8
Low conductivity 15 3
To find :
a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high
The favorable outcome is 74
The probability is given by,
b) If a stand is randomly selected, the probability that its conductivity is low or strength is low
Conductivity is low A= 15+3=18
Strength is low B= 8+3=11
Conductivity is low and strength is low 
Probability is given by,
c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?
Since the events the stand has low conductivity and the stand has low strength are not mutually exclusive, since there exists some cases in which both the events coincide. i.e. Intersection of both the events exists with probability 0.03.
Answer:
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
If Figure B is a scaled copy of Figure A
then
Figure A and Figure B are similar
therefore
<u><em>The statements that must be true are</em></u>
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Step-by-step explanation:
Total Surface area of a pyramid is given as
= Lateral surface area + area of base.
Lateral surface area = 1/2×perimeter of base×slant height
given the base is square with side 9 in , and slant height of 12 inches.
therefore, LSA = 1/2(9*4)×12 = 216 in^2
Now, TSA = LSA + Base area = 216+9^2 = 297 in^2
a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).
b) It can not be solved as dimensions are missing in the question.
However, the logic has been explained in the soluion one easily put values to find the solution.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
