Answer:
a) h = 6 2/17
b) k = 3 8/17
Step-by-step explanation:
We can make a list of corresponding sides:
AB (17 cm) and DE (13 cm)
BC (15 cm) and EC (8+k cm)
CA (8 cm) and CD (h cm)
Because the triangles are similar, we know corresponding sides are proportional.
<h3>a)</h3>
CD/CA = DE/AB
h/8 = 13/17
h = 8(13/17) = 6 2/17
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<h3>b)</h3>
EC/BC = DE/AB
(8+k)/15 = 13/17
8 +k = 15(13/17)
k = 11 8/17 -8 = 3 8/17
Just multiply "6/8" times 5.
(6/8)(5)
(6/8)(5/1)
*Find common denominator. Which is 8, so multiply "5/1" by 8.
(6/8)(40/8)
- Once you have the same bases, you multiply across.
240/8
-You can simplify this fraction by dividing by 8.
30.
- 30 is your answer.
Answer:
q=5c
Step-by-step explanation:
q is the total number of questions, so the other numbers/variables must be multiplied together to equal q.
c is the number of chapters read, so that must be multiplied by 5 (questions per chapter) in order to equal q.
Answer:
This is a theoretical probability
Step-by-step explanation:
<u>Explanation:</u>-
<u>Theoretical probability</u>:-
Theoretical probability is the theory behind probability.To find the probability of an event using theoretical probability,it is not required to conduct an experiment.
The theoretical probability is defined as the ratio of the number of favorable outcomes to the number f possible outcomes.
probability of event(P(E)=
<u>Empirical probability:</u>-
The definition of probability breaks down when do not have a complete priori analysis , that is when the outcomes of the trial are not equally likely or when the total number of trials is infinite or when the enumeration of all equally likely events is not possible.so this is called statistical or empirical definition of probability or experimental probability.
Probability of event P(E) =
The basic difference between these two approaches is that in the experimental approach,the probability of an event is based on what has actually happened by conducting a series of actual experiments and the theoretical approach we attempt predict what will occur without actually performing the experiments.
Given example is equally likely events so this is theoretical probability.
Answer:
He can fill 18 full sheets.
Step-by-step explanation:
44 + 52 + 67 = 163
163/9 = 18.11
The question asks for a whole number, not a decimal or fraction, so therefore, he only has 18 full sheets.