From a group of five boys and seven girls, two boys and three girls will be selected to attend a conference. In
how many possible ways can the selection be made?

Answer:

1.5

Step-by-step explanation:

Answer:

[tex]5x^{-10}z^{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]

Required

Evaluate

[tex]\frac{15x^{-3}z^5}{3x^7z^{-5}}[/tex]

Start by dividing 15 by 3

[tex]\frac{5x^{-3}z^5}{x^7z^{-5}}[/tex]

Apply the following law of indices on indices x and z

[tex]\frac{a^m}{a^n} = a^{m-n[/tex]

So, the expression becomes:

[tex]5x^{-3-7}z^{5-(-5)[/tex]

[tex]5x^{-3-7}z^{5+5[/tex]

[tex]5x^{-10}z^{10[/tex]

Answer:

Step-by-step explanation:

Answer:

5^4

Answer: 0.32768

Step-by-step explanation:

Let x= number of employees have college degree.

Binomial probability formula :

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p probability of success in each trial , n= sample size, x= number of successes.

As per given , p =0.80 , n= 5 , x=5

[tex]P(x=5)=\ ^5C_5(0.8)^5(0.2)^{0}= (1)(0..8)^5(1)\ \ \ [\ ^nC_n=1]\\\\= 0.32768[/tex]

Hence , the probability that all 5 will have college degrees = 0.32768

Answer:

B) 0.3277 on Edge

Step-by-step explanation:

The other person was almost right, but Edge rounds it.

Answer:

f^-1(x) =x^3/2-3/2

Step-by-step explanation:

to find the inverse, interchange the variables and slove for y

Answer:

x/3 - x/5 = 2/15x

Step-by-step explanation:

Please mark brainlliest if you want.

Answer:

Shelly earned $8,960 in interest.

Step-by-step explanation:

The formula for simple interest is A=P(1+rt). For this problem, the equation is A=8,000(1+0.04x3). 8,000 is the initial balance, 0.04 is the annual interest rate, and 3 is the time in years. Following the order of operations, 0.04 multiplied by 3 is 0.12. 0.12 plus 1 is 1.12. 8,000 multiplied by 1.12 is 8,960.

Answer:

£960

Step-by-step explanation:

So you start of by calculating the interest for one year.

8,000 × 0.04 = 320

Because the interest rate is 4% you will write it as 0.04

And because it is simple interest, you will need to multiply 320 by 3 to get the amount of interest she will get after 3 years.

320 × 3 = 960

If you wanted the total amount of money she would have after receving the interest, you just have to add 960 to the starting amount of 8,000.

8,000 + 960 = 8,960

In this, you are assuming that she doesn't take any money out or put any money in for those 3 years.

I think that's right anyway.

Answer: y=9x/20 - 3/4

Step-by-step explanation:

Answer:

6²

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , then

[tex]\frac{6^{7} }{6^{5} }[/tex]

= [tex]6^{(7-5)}[/tex]

= 6²

Step-by-step explanation:

[tex] {6}^{7 } - 5 \\ 6 { }^{2} [/tex]

Answer:

$127.68

Step-by-step explanation:

Rate= 6.4%

Principal= $120

Time = 1 year

Required

The final amount A

Step two

A=P(1+rt)

substitute

A=120(1+0.064*1)

A=120(1.064)

A=120*1.064

A=$127.68

Hence the final amount is $127.68

Answer:

3no reason is given

4no both are 90 degree

6no by SAS axiom

Answer:

82%

Step-by-step explanation:

Multiply 25*4 to get 100.

Then multiply 20.5*4 because what you do to one side you have to do for the other.

You end up with 0.82 or 82%

Based on the length of the field and the amount of the field that was planted the fraction of the field planted is 4.1/5.

The field has a length of 25 acres and Peter plants in 20.5 acres of them.

The fraction that is planted is:

= Amount of field planted on / Total area of field

Solving will give:

= 20.5 / 25

Take to the simplest form by dividing both by 5:

= 4.1 / 5

In conclusion, the fraction planted on is 4.1/ 5.

Find out more on fractions at https://brainly.com/question/11289219.

Answer:

No

Step-by-step explanation:

if x=4 and y=11...

this would mean

11 is less than or equal to 2(4)

11 > 4+3

Answer:

slope = 2.5 y intercept = 5

Step-by-step explanation:

the slope represents how much it cost to rent the bike per hour and the y intercept represents a fee that you pay when you rent the bike.

Answer:

m/slope=1/2. For every two hours more of the bike being rented, the price rises 5 dollars.

Step-by-step explanation:

Answer:

24 grams are not water 100 - 76 = 24

Step-by-step explanation:

Hey there!

Given;

4(X+1) -3 and 4x+1.

No, they are equivalent.

Reason:

Solving 1st expression.

4(x+1) = 4x + 4 - 3

Now, next expression is: 4x+1.

So, 4x + 4 = 4x+1

So, they are equivalent to eachother.

Hope it helps...

is 4(x+1) - 3 and 4x + 1 equivalent and why?

Step-by-step explanation:

Hey there!

Given;

4(X+1) -3 and 4x+1.

No, they are equivalent.

Reason:

Solving 1st expression.

4(x+1) = 4x + 4 - 3

Now, next expression is: 4x+1.

So, 4x + 4 = 4x+1

So, they are equivalent to eachother.

Hope it helps...

Answer:

46

Step-by-step explanation:

So if angle 4 is the same as angle 5 then 180-134=46

if the two angles make a flat line then the total of both angles is 180.

Answer:

the anwer is 46

Step-by-step explanation:

find the m 1 if m 5 +134

Answer:

y = $19.50

x = $17.17

z = $20.67

Step-by-step explanation:

Notice that $13.50 of $22.50 is 60% (in math decimal form 0.6). The same is true for $16.20 of $27.00. Therefore, the value of y is going to be :

0.6 * $32.50 = $19.50

We notice as well that the added taxes to the discount price $13.50 is:

14.31 - 13.5 = $0.81, which at a time is a percent of the discounted sales price. Such percentage is calculated as shown below:

0.81/13.5 = 0.06 (or 6%)

we can then add 0.06 * 16.20 = 0.972 to 16.20 to find the total price "x"that includes tax:

x = $16.20 + $0.97 = $17.17

And we do something similar to find z:

z = $20.67

Answer: -8.4, -7.5, -5.2, 3.1, 5.3

Step-by-step explanation: First, lets separate the negative numbers and the positive numbers,

-7.5, -8.4, - 5,2 5.3, 3.1

Now, we order from least to greatest!

-8.4, -7.5, -5.2, 3.1, 5.3

Done!

Answer:

i think its 3x-8 not sure

Answer:

[tex]2y[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\9y-7y\\We\ observe\ that\ the\ terms\ 9y\ and\ -7y\ share\ a\ same\ algaebraic\ co-\\ effecient\ due\ to\ which\ they\ are\ like\ terms.\\Hence,\\9-7y\\=9y+(-7y)\\By\ applying\ distributive\ property\ of\ addition:\\9y+(-7y)=(9+(-7))y=2y[/tex]

Step-by-step explanation:

f, your friends lunch

f + 3, your lunch

f + f + 3 = 19

2f + 3 = 19

2f = 16

f = 8

Your friends lunch was $8

I hope this helped!!!!

Answer:

4.6875

Step-by-step explanation:

225 divided by 48 = 4.6875

Answer:

18 miles

Step-by-step explanation:

2cm=3 miles

12cm=18 miles

You multiply both sides by 6,

Answer:

Step-by-step explanation:

Hey remember it me again

Answer:$773.33

Step-by-step explanation:

Answer:

y=5

x=30

Step-by-step explanation:

the triangle with all congruent angles is an equilateral triangle, which means all side and angles are congruent, so 8y has to equal to 40 by dividing 40 by 8.

x and the angle about forms a complementary angle, so it has to be 30 degrees to add up to 90.

Answer:

X-61=100

X=100-61

X=39%

Step-by-step explanation: