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3 years ago

Use quadratic equation to find the roots of the following equations

Mathematics

2 answers:

AleksAgata [21]3 years ago

8 0

3x - 1 = -2x^2
= 2x^2 + 3x -1
= -+ 3√3^2 - (4)(2)(-1)/ 2x2
-+3√9+8/ 4
-+3√ 17/4
-+3√ 4.5
-3√4.5. or +3√4.5
-3 + 2.121 or. +3+2.121
x = -0.869 or x= 5.121

hope it helps

sertanlavr [38]3 years ago

3 0

See the attachment below.

Hope it helps!

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There is a bag filled with 3 blue and 4 red marbles.

tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857$

$P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429$

Hence:

$p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286$

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0

2 years ago

In J, K is the midpoint. The coordinates of ) are (2, 2), and the coordinates of Kare (10, 11). What are the coordinates of L?

DiKsa [7]

Answer:

L(18, 20)

Step-by-step explanation:

In JL, K is the midpoint. The coordinates of J are (2, 2), and the

coordinates of K are (10, 11). What are the coordinates of L?

Solution:

If O(x, y) is the midpoint between two points A( $x_1,y_1$ ) and B( $x_2,y_2$ ). The equation to determine the location of O is given by:

$x=\frac{x_1+x_2}{2} \\\\y=\frac{y_1+y_2}{2}$

Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let ( $x_2,y_2$ ) be the coordinate of L. Therefore:

$10=\frac{2+x_2}{2} \\\\20=2+x_2\\\\x_2=18$

$11=\frac{2+y_2}{2} \\\\22=2+y_2\\\\y_2=20$

Therefore L = (18, 20)

4 0

3 years ago

NASA launches a rocket at

Lapatulllka [165]

Answer:

the height is : 2365.48 m

Step-by-step explanation:

hello :

h(t) = − 4.9 t 2 + 211 t + 94 .

the vertex of this parabola is : (-b/2a , h(-b/2a) when : a= -4.9 and b=211

-b/2a = -(211)/2(-4.9) = 21.53

h(21.53) = -4.9(21.53)²+211(21.53)+94 = 2365.48 m

4 0

3 years ago

Find the approximate side length of a square game board with an area of 157 in^2.

Nesterboy [21]

Answer:

12.52 in.

Step-by-step explanation:

Area of square(A)=157in^2

length of square (l)=?

we know,

A=l^2

or,sqrt 157=l

12.52 in=l

3 0

2 years ago

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Katyanochek1 [597]

i think its c (a picture of a city )

7 0

2 years ago

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