Answer:(12,-5)
Step-by-step explanation: if you have (x-12)^2+(y+5)^2=100 you switch the signs of 12 and 5 opposite
Answer:
AAS method can be used to prove that the two triangles are congruent.
Step-by-step explanation:
According to the question for the two triangles one pair of opposite angles are equal. One another pair of angles are equal for the two and one pair of sides are also equal of the two.
Hence, the two given triangles are congruent by AAS rule.
Hence, AAS method can be used to prove that the two triangles are congruent.
Answer:
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
It would be unusual to randomly select a person aged 40 years or older who is male and jogs.
Step-by-step explanation:
We have these following probabilities.
A 13.9% probability that a randomly selected person aged 40 years or older is a jogger, so 
.
In addition, there is a 15.6% probability that a randomly selected person aged 40 years or older is male comma given that he or she jogs. I am going to say that P(B) is the probability that is a male. 
is the probability that the person is a male, given that he/she jogs. So 
The Bayes theorem states that:
In which 
is the probability that the person does both thigs, so, in this problem, the probability that a randomly selected person aged 40 years or older is male and jogs.
So
There is a 2.17% probability that a randomly selected person aged 40 years or older is male and jogs.
A probability is unusual when it is smaller than 5%.
So it would be unusual to randomly select a person aged 40 years or older who is male and jogs.
By order of operation
5+1x10
5+10
15
By normal solving
5+1x10
6x10
60
9514 1404 393
Answer:
no
Step-by-step explanation:
On average, there are about 173 1/3 hours per month, so James's take-home pay will be about ...
($15.50/h)(173 1/3 h/mo)(1 -26%) = $1988.13
His proposed rental is about ...
1400/1988.13 · 100% = 70.4%
of his take-home pay.
Most financial planners would recommend the percentage be well below 50%. It is unlikely James can make his proposed monthly payments.
