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2 years ago

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a class has 14 students, 8 students are females, and 6 students are males. how many teams of 7 students contain at most 4 female

s

1 answer:

arlik [135]2 years ago

8 0

Answer:

2416

Step-by-step explanation:

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Can you help please ASAP

V125BC [204]

Answer:

Step-by-step explanation:

External angle equals to the sum of opposite internal angles

z - 41° + z - 20° = z + 40°

2z - 61° = z + 40°

2z - z - 61° = 40°

z - 61° = 40

z = 40° + 61°

z = 101°

5 0

3 years ago

Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x+y)^28

MakcuM [25]

Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.

Each expansion is a polynomial. There are some patterns to be noted.

1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.

2. In each term, the sum of the exponents is n, the power to which the binomial is raised.

3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.

4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.

8 0

3 years ago

What is the value of E(-1) n (3n+2)?

RoseWind [281]

<h3>Answer: C) 6</h3>

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

$\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6$

6 0

3 years ago

Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi

irga5000 [103]

$\huge\boxed{18\ \text{points}}$

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with $x$ , $x+1$ , $x+2$ , and $x+3$ respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to $78$ .

$x+x+1+x+2+x+3=78$

Now, simplify.

$4x+6=78$

Subtract $6$ on both sides.

$\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}$

Divide both sides by $4$ .

$\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}$

Since Louise's score is $x$ , the answer is $18$ .

<h3>Double-checking</h3>

To verify our answer, add the point totals $18$ , $19$ , $20$ , and $21$ .

This equals $78$ , so we can be sure the answer is correct.

5 0

1 year ago

exis [7]

This is the answer (4,3) x=4, y=3

6 0

3 years ago

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