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katrin [286]
3 years ago
9

Someone please help

Mathematics
1 answer:
kogti [31]3 years ago
5 0

Answer:

I'm not 100% but I think it could be x4 and then +5?

Step-by-step explanation:

You might be interested in
15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b)
prohojiy [21]

Answer:

(a) 3003 ways

(b) 10897286400 ways

(c) 3002 ways

Step-by-step explanation:

Given

n = 15 --- 15 players

Solving (a) Ways of selecting 10 players.

This implies combination.

So, we have:

r=10

Using:

^nC_r = \frac{n!}{(n-r)!r!}

We have:

^{15}C_{10} = \frac{15!}{(15-10)!10!}

^{15}C_{10} = \frac{15!}{5!10!}

Simplify

^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}

^{15}C_{10} = \frac{15*14*13*12*11}{5!}

^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}

^{15}C_{10} = \frac{360360}{120}

^{15}C_{10} = 3003

Solving (b) Ways of assigning positions to 10 players.

This implies permutation.

So, we have:

r=10

Using:

^nP_r = \frac{n!}{(n-r)!}

We have:

^{15}P_{10} = \frac{15!}{(15-10)!}

^{15}P_{10} = \frac{15!}{5!}

Solve each factorial

^{15}P_{10} = \frac{1307674368000}{120}

^{15}P_{10} = 10897286400

Solving (c) Ways of choosing at least 1 woman

We have:

Men = 10

Women = 5

Ways of selecting 10 players is: (a) 3003 ways

Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)

Using complement rule:

At least 1 woman = Total - No woman

At\ least\ 1\ woman = 3003 - 1

At\ least\ 1\ woman = 3002

5 0
3 years ago
(3.2 * 10000000) -3
andreev551 [17]

The exponents distribute over factors:

(ab)^c = a^c \times b^c

so, you have

(3.2 \times 10^6)^{-3} = 3.2^{-3} \times (10^6)^{-3}

Let's focus on each factor: applying the definition of negative exponents, you have

3.2^{-3} = \cfrac{1}{3.2^3} \approx 0.03

While for the power of 10, you can use the following rule

(a^b)^c = a^{bc} to write

(10^6)^{-3} = 10^{6\cdot (-3)} = 10^{-18}

So, the expression evaluates to

0.03\times 10^{-18} = 3\times 10^{-20}

3 0
4 years ago
The question itself if pretty explanatory I need this done quick please
aleksandr82 [10.1K]

Answer:

2\sqrt{5}

Step-by-step explanation:

8/4 = 2

\sqrt{20} / \sqrt{4} = \sqrt{5}

Therefore: 2\sqrt{5}

Hope this helps!

3 0
3 years ago
Read 2 more answers
Please please help me on this.
quester [9]

Answer:

A

Step-by-step explanation:

An equation in the form y=kx represents something increasing at a constant <u>rate</u>

5 0
3 years ago
Please answer correctly thanks
zloy xaker [14]
The area of any rectangle is the product of its length and its width - A=lw. We've been given the area and the length, and we can use those values to solve for the width:

95.4=10.6w\\ \frac{95.4}{10.6}=w\\\\ 9=w

So, the length of the missing side is 9 ft.
3 0
3 years ago
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