Can someone help lol

Mathematics

1 answer:

Kay [80]3 years ago

6 0

Answer:

13 and 5

Step-by-step explanation:

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4. From a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of

Degger [83]

Answer:

P=0.228

Step-by-step explanation:

We know that from a faculty of six professors, six associate professors, ten assistant professors, and twelve instructors, a committee of size six is to be selected.

Therefore, we have 34 people.

We calculate the number of possible combinations:

$C^{34}_6=\frac{34!}{6!(34-6)!}=1344904\\$

Of the 6 professors we choose 2, and of the other 28 people we choose 4.

We calculate the number of favorable combinations:

$C_2^6\cdot C_4^{28}=\frac{6!}{2!(6-2)!}\cdot \frac{28!}{4!(28-4)!}=15\cdot 20475=307125\\$

Therefore, the probability is:

$P=\frac{307125}{1344904}=0.228$

8 0

3 years ago

O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?

Anna [14]

Answer:

Step-by-step explanation:

We know that radius of a circle is perpendicular to the tangent of the circle at the point of contact.

$\therefore x\degree +90\degree +90\degree+124\degree =360\degree\\\therefore x\degree +304\degree =360\degree\\\therefore x\degree =360\degree-304\degree\\\huge\purple{\boxed{\therefore x\degree =56\degree}}$