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2 years ago

5

There are 20 students on the schools student council. A special homecoming dance committee is to be formed by randomly selecting

seven students from student council. How many possible committees can be formed?

1 answer:

babymother [125]2 years ago

3 0

You have to take 20/7 and you get a answer of <span>2.85 as a decimal. or a mixed number of 2 17/20</span>

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How to answer a problem that says 5 ro the 4 power over 5

Eddi Din [679]

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{5^4}{5}\implies 5^4\cdot 5^{-1}\implies 5^{4-1}\implies 5^3\implies 125$

4 0

2 years ago

A store had 150 laptops in the month of January. Every month, 20% of the laptops were sold and 10 new laptops were stocked in th

Softa [21]

<u>Answer-</u>

$\boxed{\boxed{f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0}}$

<u>Solution-</u>

Here, n represents the number of months and f(n) represents the number of laptops in the store after n months.

As the store had 150 laptops in the month of January or at the beginning.

So $f(0)=150$

Every month, 20% of the laptops were sold and 10 new laptops were stocked in the store.

As 20% of laptops were sold, so 80% were in the store.

So, after one month total number of laptops in the store,

$\Rightarrow f(1)=0.8(150)+10$

$\Rightarrow f(1)=0.8(f(0))+10$ $(\because f(0)=150)$

Again after one month total number of laptops in the store,

$\Rightarrow f(2)=0.8\times (0.8(150)+10)+10$

$\Rightarrow f(2)=0.8(f(1))+10$ $(\because f(1)=0.8(150)+10)$

Analyzing the pattern, the recursive function f(n) will be,

$f(n)=0.8(f(n-1))+10,\ f(0)=150,\ \ n>0$

3 0

2 years ago

Read 2 more answers

Daisy measured the heights of 20 plants.

sergiy2304 [10]

Answer:

30.5 cm

Step-by-step explanation:

<em>Refer to attached</em>

Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
0 <h < 10 >> 1 >> 5 >> 5
10 <h < 20 >> 4 >> 15 >> 60
20 <h < 30 >> 7 >> 25 >> 175
30 <h < 40 >> 2 >> 35 >> 70
40 <h < 50 >> 3 >> 45 >> 135
50 <h < 60 >> 3 >> 55 >> 165

Sum of frequencies = 20

Sum of frequency x midpoint product = 610

<u>Mean height </u>

610/20 = 30.5 cm

5 0

3 years ago

Geometry Pythagorean theorem

lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

10² = 6² + x²
=> 100 = 36 + x²
=> 100 - 36 = x²
=> 64 = x²
=> x = 8

<h3>________________________________________________</h3>

<u>Question 10:</u>

26² = 24² + x²
=> 676 = 576 + x²
=> 676 - 576 = x²
=> 100 = x²
=> x = 10

<h3>________________________________________________</h3>

<u>Question 11:</u>

15² = 12² + x²
=> 225 = 144 + x²
=> 225 - 144 = x²
=> 81 = x²
=> x = 9

<h3>________________________________________________</h3>

<u>Question 12:</u>

x² = 8² + 12²
=> x² = 64 + 144
=> x² = 208
=> x = √208
=> x = 14.2 (Rounded)

<h3>________________________________________________</h3>

<u>Question 13:</u>

7² = 2² + x²
=> 49 = 4 + x²
=> 49 - 4 = x²
=> 45 = x²
=> x = √45
=> x = 6.7 (Rounded)

<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

=> 5² = 3² + x²
=> 25 = 9 + x²
=> 16 = x²
=> x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

(3 + 6)² = 5² + y²
=> (9)² = 25 + y²
=> 81 = 25 + y²
=> y² = 56
=> y = √56
=> y = 7.5 (Rounded) units

Answers (Nearest tenth):

x = 4 units
y = 7.5 units

<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

8² = 6² + y²
=> 64 = 36 + y²
=> 28 = y²
=> y = √28
=> y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

x = 2y
=> x = 2(5.3)
=> x = 10.6 units

Answer (Nearest tenth)

x = 10.6 units
y = 5.3 units

<h3>________________________________________________</h3>

5 0

1 year ago

Help with 1-9 , please!!!!

murzikaleks [220]

1. 160
You just add normally.
2. -86
3. 89
4. 7
5. -44
6. -14
7. -48
8. 50
9. 70
If you are struggling you can use a website called ixl it cost money but it can really help a lot !

4 0

2 years ago

Read 2 more answers