Answer:
A composite number has more than two factors. In this case, the number 13233345364715 has more than two factors, so it is composite.
Step-by-step explanation:
Numbers can be classified as prime or composite. Prime numbers have only two factors, 1 and the number itself. For example, 13 is a prime number because only 1 and 13 can be multiplied together to get 13. However, a composite number has more than two factors. In the case of the numer 13233345364715, I know that there are more than two factors because the number ends in 5, which means it has a factor of 5. To confirm, divide 13233345364715/5 = 2646669072943. This large of a number may also have other factors, however, since you now know it has at least four factors, it is composite.
Answer:
0.12
Step-by-step explanation:
Suppose there are 100 kids
60% have fever, so <em><u>what is 60% of 100?</u></em>
We convert percentage to decimal and multiply:
60/100 = 0.6
0.6 * 100 = 60 have fever
20% of the people having fever (60 of them) have sore throats, so,
<u><em>What is 20% of 60?</em></u>
We convert percentage to decimal and multiply:
20/100 = 0.2
0.2 * 60 = 12 have sore throat
So, how many people are there with fever AND sore throat, that is 12. We took initially there to be 100 people. Hence, the probability is:
Answer:
y=2x+7
Step-by-step explanation:
When an equation is parallel to another, it shares the same slope.
Our original line is y=2x-8, and it is in slope-intercept form (y=mx+b)
This means that our slope is 2 because m represents the slope.
The slope of our parallel line will then also be 2.
<u>We can begin to plug that into point-slope form which is:</u>
y - y1 = m(x - x1)
This is where (x1, y1) is a point the line intersects, and m is the slope.
<u>Plugging in the slope, we'll have:</u>
y - y1 = 2(x - x1)
We also know it intersects the point (-4, -1）
We can plug this into our equation as well.
y - (-1) = m(x - (-4))
y+1=2(x+4)
<u>Now, we can simplify it into slope-intercept form:</u>
y+1=2(x+4)
Distribute
y+1=2x+8
Subtract 1 from both sides
y=2x+8-1
y=2x+7
Answer:
Length of arc AB = 4π
Step-by-step explanation:
Formula to get the arc length is given by,
Length of arc = 
Here, θ = central angle subtended by the arc AB
r = Radius of the circle
By substituting the values in the formula,
Therefore, length of arc AB = 
= 40π
