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3 years ago

6

Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of thre

e students are possible?

1 answer:

Hatshy [7]3 years ago

8 0

Answer:

35 possible combinations would be there.

Step-by-step explanation:

We have total of seven students we have to choose three out of those seven

$^{n}C_r=\frac{n!}{r!\cdot (n-r)!}$

n is the total possibilities n =7 in the given case

And r is the chosen ones

Hence, r=3 in the given case.

Substituting the values of n and r in the formula we get

$^{7}C_3$

$\frac{7!}{3!(7-3)!}$

$\frac{7!}{3!\cdot 4!}$

Using n!=n(n-1)----1

$\frac{7\cdot 6\cdot 5\cdot 4!}{3\cdot 2\cdot 1\cdot 4!}$

Cancel the common factor we get

$35$ possible combinations would be there.

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you are painting the outside of a 28 foot fence that goes around a square garden there are 4 equal sections. you have painted 1/

suter [353]

The answer is 1/8.

Hope this helps!

~LENA~

6 0

3 years ago

Which expressions simplify to 0? Check all that apply. 8g – 8g, (–2g) – 2g, 5g + (–5g), One-half g + one-half, g Negative two-th

victus00 [196]

We have been given 4 expressions. We are asked to choose the expressions, which simplifies to 0.

Let us check our given choices one by one.

1. $8g-8g$

$8(g-g)$

$8(0)=0$

When we will subtract 8g from 8g, we will get 0. Therefore, expression $8g-8g$ simplifies to 0.

2. $(-2g)-2g$

Let us remove parenthesis.

$-2g-2g$

Upon combining like terms, we will get:

$-4g$

Since $(-2g)-2g$ simplifies to $-4g$ , therefore, expression $-2g-2g$ is not a correct choice.

3. $5g+(-5g)$

Let us remove parenthesis.

$5g-5g$

Upon combining terms, we will get:

$5g-5g=0$

Since $5g+(-5g)$ simplifies to 0, therefore, expression $5g+(-5g)$ is a correct choice.

4. $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

Let us combine the terms as:

$\frac{1+1}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$\frac{2}{2}g-\frac{2}{3}g+\frac{2}{3}g$

$g-g(-\frac{2}{3}+\frac{2}{3})$

$g-g(0)$

$g-(0)=g$

Since $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ simplifies to $g$ , therefore, expression $\frac{1}{2}g+\frac{1}{2}g-\frac{2}{3}g+\frac{2}{3}g$ is not a correct choice.

6 0

4 years ago

Read 2 more answers

What is the ricipricol of7/9

GuDViN [60]

The reciprocal would be 9/7 because a reciprocal is when you flip a fraction and put the denominator as the numerator and vice versa.

5 0

4 years ago

Read 2 more answers

Answer please will make first answer brainliest

galina1969 [7]

Answer:

The last one: 70/100 = x/80

And 56 free throws.

Explanation:

70% is 70 out of 100. And if the player is free throwing a total of 80 times, then 80 is 100% of the free throws. Both of the values that represent 100% are the denominators in the fractions.

$\frac{70}{100} = \frac{x}{80}$

The equations are equal, and whatever you do to the bottom, you have to do to the top. 100 was multiplied by 4/5 to get 80. So 70 is multiplied by 4/5 to get x.

4/5 * 70 is 56

8 0

3 years ago

Jika garis 4x+ay = 8 dan ay=9x + 5 saling tegak lurus,maka nilai a

barxatty [35]

We are given equations as

$4x+ay=8$

Firstly, we will write in slope intercept form of line

y=mx+b

$4x+ay=8$

Subtract both sides by 4x

$4x+ay-4x=-4x+8$

$ay=-4x+8$

now, we can divide both sides by a

$y=-\frac{4}{a} x+\frac{8}{a}$

we can find slope

so, we get

$m_1=-\frac{4}{a}$

we are given second equation as

$ay=9x+5$

Firstly, we will write in slope intercept form of line

y=mx+b

divide both sides by a

$y=\frac{9}{a} +\frac{5}{a}$

we can find slope

$m_2=\frac{9}{a}$

we are given both lines are perpendicular

so, the multiplication of their slopes must be -1

$m_1\times m_2=-1$

we can plug values

$-\frac{4}{a}\times \frac{9}{a}=-1$

now, we can solve for a

$\frac{36}{a^2}=-1$

Multiply both sides by a

$\frac{36}{a^2}\times a^2=1\times a^2$

$36= a^2$

now, we can solve for a

we get

$a=-6,a=6$ ...............Answer

4 0

4 years ago