Answer:
The answer is 0.9726
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9
This represents that it is dilated by 3 factor
So
= 3 × 3
= 9
Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor
So the new side is 15
Also the largest triangle is x + 1
So,
15 = x + 1
x = 14
(-1, 5) because if you plug in -1 to both equations, you should get 5 from both equations. They also cross at that point, making that the solution.
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.
The length of the bridge is the distance from the beginning to the end.
<em>The distance b between each beam is 9ft.</em>
Let:
<em />
<em> I-Beam</em>
<em />
<em> distance between I beam and the bridge</em>
<em />
<em> distance between each I beam</em>
<em />
Given that:


<em />
<em> --- length of the bridge</em>
<em />
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:




There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:



There are 5 spaces between the I-beams
So, the length of the total spaces is:


The total length is:

So, we have:

Collect like terms


Convert inches to feet



Divide both sides by 5

<em>Hence, the distance (b) between each beam is 9ft.</em>
Read more about lengths at:
brainly.com/question/22059747