All categories

1 year ago

How do I solve explain steps

Mathematics

1 answer:

deff fn [24]1 year ago

5 0

Answer:

There's no real solutions to this expression.

Step-by-step explanation:

5x - (3 - 2x) = - (-x - 7) + 6x

First we need to get rid of the parenthesis and to do that we multiply inside the parenthesis with -1

5x - 3 + 2x = x + 6 + 6x (remember, negative × negative = positive)

Now add/subtract like terms:

5x + 2x - 3 = 7x - 3

x + 6x + 7 = 7x + 7

Rewrite the equation:

7x - 3 = 7x + 7, 7x will eliminate each other so we will be left with,

-3 = 7 which cannot be true so we say there's no real solutions to this expression.

You might be interested in

What is (-3,5) reflected across the y axis?

BARSIC [14]

3,5 is the answer i belive

8 0

3 years ago

two angles form a linear pair. the measure of one angle is 1/4 the measure of the other angle. find the measure of each angle

vlabodo [156]

The sum of the angles equals 180
therefore
x+(1/4x)=180
1 1/4 x = 180
x=180/ 1 1/4
x=144
1/4 x =1/4(144)=36

4 0

3 years ago

If the first 4 terms of an infinite geometric sequence are 150, 120, 96, and 76.8, then the sum of all the terms in the sequence

hammer [34]

The sum of the sequence is 750

<h3>How to determine the sum of the series?</h3>

The series is given as:

150, 120, 96, and 76.8,

Start by calculating the common ratio using:

r = T2/T1

This gives

r = 120/150

r = 0.8

The sum of the series is then calculated as:

$S = \frac{a}{1 - r}$

This gives

$S = \frac{150}{1 - 0.8}$

Evaluate

S = 750

Hence, the sum of the sequence is 750

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

4 0

2 years ago

The length of a rectangle is 12 in. and the perimeter is 56 in. Find the width of the rectangle.

yuradex [85]

Answer:

W = 16 in

Step-by-step explanation:

P = 2L + 2W

56 = 2(12) + 2W

56 = 24 + 2W

56-24 = 2W

32 = 2W

W = 32/2

W = 16 in

Best regards

7 0

3 years ago

Find the mean, variance &a standard deviation of the binomial distribution with the given values of n and p.

MrMuchimi

A random variable following a binomial distribution over $n$ trials with success probability $p$ has PMF

$f_X(x)=\dbinom nxp^x(1-p)^{n-x}$

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

$\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1$

The mean is given by the expected value of the distribution,

$\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}$
$\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}$

The remaining sum has a summand which is the PMF of yet another binomial distribution with $n-1$ trials and the same success probability, so the sum is 1 and you're left with

$\mathbb E(x)=np=126\times0.27=34.02$

You can similarly derive the variance by computing $\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2$ , but I'll leave that as an exercise for you. You would find that $\mathbb V(X)=np(1-p)$ , so the variance here would be

$\mathbb V(X)=125\times0.27\times0.73=24.8346$

The standard deviation is just the square root of the variance, which is

$\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834$

7 0

3 years ago