All categories

3 years ago

Is this correct if not correct me

Mathematics

2 answers:

trasher [3.6K]3 years ago

7 0

Yeah seems like it, but if not i’ll help you

AleksAgata [21]3 years ago

5 0

Yuppppppppppppppp yuh

You might be interested in

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa

ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of A is 0.30 then the probability of A compliment is

P(A compliment ) = 1 - P (A)

P(A compliment ) = 1-0.30

P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

P ( A U B ) = P (A) + P(B) - P(A∩ B)

P ( A U B ) = 0.30 + 0.50 - 0

P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

P ( A' ∩ B' ) = P [(A U B )']

P ( A' ∩ B' ) = 1 - P ( A U B )

P ( A' ∩ B' ) = 1 - 0.80

P ( A' ∩ B' ) = 0.20

5 0

3 years ago

What percent of 400 is 260

postnew [5]

260/400=0.65
your answer will be 65%

6 0

3 years ago

The length of a rectangle is twice its width. The Perimeter is 42 cm. Find the length of each side.

lakkis [162]

Answer:

A) L = 2*W

B) 2L + 2W = 42

We'll put Equation A) into B)

2*2W + 2W = 42

4W + 2W = 42

6W = 42 cm

Width = 7 cm

Length = 14 cm

Step-by-step explanation:

4 0

3 years ago

A pair of jeans normally costs £40.

creativ13 [48]

Answer:

£30

Step-by-step explanation:

100% - 25% =75%

75% of £40

=£30

5 0

3 years ago