If two pairs of complementary angles in a pair of triangles are congruent, then the triangles are identical. We know this because if two angle pairs are exact, then the third pair must also be equivalent. When the three angle pairs are all identical, the three pairs of sides must even be in proportion.
Two triangles are exact if they meet one of the subsequent criteria.
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My Conditional Frequency Question is:
My solution (work and answer):
Please explain how/why you chose this question
Therefore , the solution of the given problem of unitary method comes out to be the likelihood that a particular child has a curfew given that they have tasks is 3/7, or roughly 0.43.
The job can be completed by bringing together what was learned and applying this variable technique, that also includes all supplementary data from two people that utilized a specific tactic. To put it another way, if the desired outcome materialises, either the entity stated in the calculation will be recognised, or both expression essential processes will truly skip the colour. For forty pencils, a refundable charge of Rupees ($1.01) might be required.
Here,
Using the following formula, one can determine the conditional chance that a child will have a curfew if they have chores:
Curfew and duties are equal, so
=>P(curfew | chores) = P (chores)
The odds are listed in the table below:
=> Curfew and errands P = 3/10
=> P(tasks) = 7/9
Therefore,
=> P(curfew | chores)=3/10/ (7/10)=3/7
Therefore, the likelihood that a particular child has a curfew given that they have tasks is 3/7, or roughly 0.43.
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What conversion ratio did she skip in this multiple-step conversion?
A. 60 seconds/ 1 minute
B. 1 minute/ 60 seconds
C. 1 hour/ 60 minutes
D. 60 minutes/ 1 hour
Answer:
The conversion ratio that student skipped was:
D. (60 minutes/1 hour)
Step-by-step explanation:
We have to convert 18 hours into seconds
We know that there are 60 seconds in a minute and 60 minutes in an hour.
So, 1 hour= 60×60 seconds
18 hour= 18×60×60 seconds
In the question student converted 1 minute into 60 seconds but forgot to convert 1 hour into 60 minutes
Hence, the conversion ratio that student skipped was:
D. (60 minutes/1 hour)
Answer: 60 minutes/1 hour
Step-by-step explanation: took the quiz
Answer:
r = R - ( 43 + 23 )
There is no more space in his backpack.
Step-by-step explanation:
Jimmy's backpack has a space of 60 cubic liters (R).
Now, he has a pile of equipment of volume 43 cubic liters and then he has his sleeping bag of volume 23 cubic liters.
Now, if r is the amount of room left in his backpack, the equation I can use
r = R - ( 43 + 23 ) ....... (1) to determine if he has enough room in his backpack.
Now, in our case R = 60 cubic liters
Therefore, from equation (1), we get r = 60 - ( 43 + 23 ) = - 6, i.e. there is no more space in his backpack. (Answer)
b. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
c. the integral of the quotient of 1 and the square root of the quantity 1 minus x squared, dx
d. the integral of x times the square root of the quantity x squared minus 1, dx
Answer:
B. and C.
General Formulas and Concepts:
Calculus
Differentiation
Integration
U-Substitution
Step-by-step explanation:
*Note:
It seems like B and C are both the same answer.
Let's define our answer choices:
a.
b.
c.
d.
Let's run u-substitution through each of the answer choices:
a.
∴ answer choice A can be evaluated with a simple substitution.
b.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice B cannot be evaluated using a simple substitution.
C.
We can see that this integral cannot be evaluated with a simple substitution. In fact, this is a setup for an arctrig integral.
∴ answer choice C cannot be evaluated using a simple substitution.
D.
Using a little rewriting and integration properties, this integral can be evaluated using a simple substitution.
∴ answer choice D can be evaluated using a simple substitution.
Out of all the choices, we see that B and C cannot be evaluated using a simple substitution.
∴ our answer choices should be B and C.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e