3 years ago

7 Lanza is a gardener.

Mathematics

1 answer:

Gennadij [26K]3 years ago

7 0

Answer:£872

Step-by-step explanation:

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How many ways can a committee chairman choose 4 people for a subcommittee if there are 12 members on the whole committee?

Marina86 [1]

A group of k elements can be chosen from a group of n elements in $\frac{n!}{k!(n-k)!}$ ways.

$(^{12} _4)=\frac{12!}{4!(12-4)!}=\frac{12!}{4! \times 8!}=\frac{8! \times 9 \times 10 \times 11 \times 12}{2 \times 3 \times 4 \times 8!}=\frac{9 \times 10 \times 11 \times 12}{2 \times 3 \times 4}= \\ \\
=3 \times 5 \times 11 \times 3=495$

The answer is B. 495.

7 0

3 years ago

Help me with this pls

Anton [14]

$\tt 4:2\dfrac{2}{3}=x:4\\\\4:\dfrac{8}{3}=x:4\\\\x=16:\dfrac{8}{3}=6$

5 0

2 years ago

Two parallel lines are crossed by a transversal . What is the value of k?

bulgar [2K]

Answer:

The value of is equal to $k=60\°$

Step-by-step explanation:

we know that

$(2k+11)\°=131\°$ -----> by alternate exterior angles

solve for k

$2k=131\°-11\°$

$k=120\°/2=60\°$

7 0

3 years ago

Read 2 more answers

Also this question tooo pleease, PS: what topic is this <br> Solve for x.

MrRissso [65]

This falls under geometry. The two labeled angles are congruent, which means the line segment between them (AD in the image) is a bisector of the angle at vertex A. Use the angle bisector theorem, which says that

$\dfrac{BD}{DC}=\dfrac{AB}{AC}\iff\dfrac{12}{(5+9x)-12}=\dfrac{15}{25}$