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3 years ago

Which function is a quadratic function?

1 answer:

6 0

The last one bec when multiply the outside number by what’s in the parentheses u get x^2. the other equations get u x^4, x, x^3. quadratic is only x^2

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A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability

Hoochie [10]

Answer:

The probability of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

A city council consists of seven Democrats and five Republicans.
A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

${n\choose k}=\frac{n!}{k!\times (n-k)!}$

Compute the number of ways to select four people as follows:

${12\choose 4}=\frac{12!}{4!\times (12-4)!}=495$

Compute the number of ways to selected two Democrats as follows:

${7\choose 2}=\frac{7!}{2!\times (7-2)!}=21$

Compute the number of ways to selected two Republicans as follows:

${5\choose 2}=\frac{5!}{2!\times (5-2)!}=10$

Then the probability of selecting two Democrats and two Republicans as follows:

$P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242$

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.

6 0

3 years ago

The process of completing the square will always work. <br> True<br> False

Bingel [31]

Completing the square will always work for any quadratic, because you can always manipulate any quadratic by following completing the square.

4 0

3 years ago

A right triangle has one leg that measures 7 inches and the hypotenuse measures 12 inches.

kirill [66]

Hypotenuse=H=12in
Perpendicular=P=7in
Base=B=?

Using Pythagorean theorem

$\boxed{\sf B^2=H^2-P^2}$

$\\ \sf \longmapsto \: b = \sqrt{ {h}^{2} - {p}^{2} } \\ \\ \sf \longmapsto \: b = \sqrt{ {12}^{2} - {7}^{2} } \\ \\ \sf \longmapsto \: b = \sqrt{100 - 49} \\ \\ \sf \longmapsto \: b = \sqrt{51} \\ \\ \sf \longmapsto \: b = 7.2in$

6 0

3 years ago

Find the nth term of the sequence -5,-1,3,7

igomit [66]

Answer:

Step-by-step explanation:

n= 4, a= -5, d = -1-(-5)= -1+5 = 4

Tn = a + (n-1)d

Tn = -5 + (4-1)4 = -5 + (3)4 = -5+12 = 7

6 0

3 years ago

Paisley has $53 in her piggy bank. Recently she has been saving and that amount has

elixir [45]

The answer would be 129.85

53 x 1.45 = 76.85
76.85 + 53 = 129.85 dollars

3 0

3 years ago