Ask question

Ask question

All categories

Oduvanchick [21]

3 years ago

9

In Mr. Kim’s history class, there are sixteen male students and twelve female students. Which of the following expresses the rat

io of female students to male students in simplest form?

1 answer:

kolbaska11 [484]3 years ago

3 0

The ratio is 12:16, which, when simplified, is 3:4.
For every three girls, there are four boys.

You might be interested in

Apply the binomial theorem to 210 = (1 + 1)10 . Answer each question in the work area provided below. 1. Write out the equation

Brums [2.3K]

Answer:

The following are the answer to this question:

Step-by-step explanation:

Binomial theorem Expression:

$\bold{(x+y)^n= {^n}C_0x^ny^0+{^n}C_1x^{n-1}y^1+{^n}C_2x^{n-2}y^2+...+{^n}C_{\gamma}x^{n-\gamma}y^\gamma}+...+ {^n}C_nx^0y^n$ Solution:

1)

$\to 2^{10} = (1 + 1)^{10}$

$= (1+1)^{10}= {^{10}}C_0\times 1^{10}\times 1^0+{^{10}}C_1\times 1^{9}\times 1^1+{^{10}}C_2\times 1^{8}\times 1^2+ \\ {^{10}}C_3 \times 1^{7}\times 1^3+{^{10}}C_4 \times 1^{6}\times 1^4+ {^{10}}C_5\times 1^{5}\times 1^5 \\+ {^{10}}C_6 \times 1^{4}\times 1^6+....+{^{10}}C_{10}\times 1^{0}\times 1^{10}$

$= {^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\$

2)

Simplify:

$(1+1)^{10}=$

${^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\$

$=1+10+45+120+210+252+210+120+45+10+1\\\\=1024$

3)

The $r^{th}$ word is the number of variations where a coin is redirected 10 times.

4)

Get the frequency of exactly five heads is: ${^{10}}C_{5}$ = 252

$=\frac{252}{1024}\\\\=\frac{126}{512}\\\\=\frac{63}{256}\\\\=0.24$

5)

To Get 5 heads will be:

$={^{10}}C_{5} \times (\frac{1}{2})^{10}\\\\=\frac{{^{10}}C_{5}}{2^{10}}\\\\=0.24$

5 0

3 years ago

A wheel barrow can carry up to 300 pounds of weight. A bag of soil wieghs 20 pounds. Write and solve an inequality to respresent

Alik [6]

Let x= the number of bags of soil

20x(less than or equal to sign) 300

divide both sides by 20 and you get x is less than or equal to 15

8 0

3 years ago

Johnny took out a $400,000 30 year loan with an apr of 6% a. How much are Johnny's monthly payments? b. How much of his first pa

lara31 [8.8K]

Fbdudbd goghuh dudbdde ufysjafdt djdysuns gdbdusts

7 0

3 years ago

What is 3/10 plus 5/8

Svet_ta [14]

3/10+ 5/8
First find a common denominator
multiply top and bottom the same
12/40 +25/40
add
37/40

3 0

4 years ago

Plz help with math!

Yuliya22 [10]

2. opposite reciprocal
3. domain
4. range
7. solution
8. root and zero

not 100% sure on 7,8,9

7 0

3 years ago