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4 years ago

Factorise x^2 + 7x + 12

2 answers:

8 0

8x^2 would be you answer in all if it does not have details this would be your answer because it does not give you an = sign or a number for x.<span />

Alex17521 [72]4 years ago

7 0

So, x^2 + 7x + 12 =
( x + 4) ( x + 3)
x(x + 7) + 12
(x + 7/2)^2 - 1/4
or
<span> that factors into (X - 4) x (X - 3)
you just divide the last number (12) into different things and see what will add together to get the middle number (-7)
-4 x -3 = 12 and -4 + -3 + -7

then you set the 2 factors = 0
X - 4 = 0 --> X = 4
X -3 = 0 --> X = 3

so 4 and 3 are the answers

I gave you the 2 ways I would answer this question, hope it helped : )
</span>

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A fair die is rolled 5 times. what is the probability of having no 2 and no 5 among the rolls ?

morpeh [17]

Try 4 because a die has six sides and 6-2=4

6 0

3 years ago

A random variable x follows a normal distribution with mean d and standard deviation o=2. It is known that x is less than 5 abou

Vaselesa [24]

Answer:

The mean of this distribution is approximately 3.96.

Step-by-step explanation:

Here's how to solve this problem using a normal distribution table.

Let $z$ be the

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question, $x = 5$ and $\sigma = 2$ . The equation becomes

$\displaystyle z = \frac{5 - \mu}{2}$ .

To solve for $\mu$ , the mean of this distribution, the only thing that needs to be found is the value of $z$ . Since

The problem stated that $P(X \le 5) = 69.85\% = 0.6985$ . Hence, $P(Z \le z) = 0.6985$ .

The problem is that the normal distribution tables list only the value of $P(0 \le Z \le z)$ for $z \ge 0$ . To estimate $z$ from $P(Z \le z) = 0.6985$ , it would be necessary to find the appropriate

Since $P(Z \le z) = 0.6985$ and is greater than $P(Z \le 0) = 0.50$ , $z > 0$ . As a result, $P(Z \le z)$ can be written as the sum of $P(Z < 0)$ and $P(0 \le Z \le z)$ . Besides, $P(Z < 0) = P(Z \le 0) = 0.50$ . As a result:

$\begin{aligned}&P(Z \le z)\\ &= P(Z < 0) + P(0 \le Z \le z) \\ &= 0.50 + P(0 \le Z \le z)\end{aligned}$ .

Therefore:

$\begin{aligned}&P(0 \le Z \le z) \\ &= P(Z \le z) - 0.50 \\&= 0.6985 - 0.50 \\&=0.1985 \end{aligned}$ .

Lookup $0.1985$ on a normal distribution table. The corresponding $z$ -score is $0.52$ . (In other words, $P(0 \le Z \le 0.52) = 0.1985$ .)

Given that

$z = 0.52$ ,
$x =5$ , and
$\sigma = 2$ ,

Solve the equation $\displaystyle z = \frac{x - \mu}{\sigma}$ for the mean, $\mu$ :

$\displaystyle 0.52 = \frac{5 - \mu}{2}$ .

$\mu = 5 - 2 \times 0.52 = 3.96$ .

3 0

4 years ago

Create a linear equation in the slope-intercept form that contains points (2,−8) and (6,−4) .

nadezda [96]

Answer:

y = x - 10

Step-by-step explanation:

Find the slope:

-4 - (-8) ÷ 6 - 2

-4 + 8 ÷ 6 - 2

4 ÷ 4

= 1

Substitute into the slope-intercept equation:

y = mx + b

Let's use the first coordinate (2,-8) for the x and y values

m = 1

-8 = 1(2) + b

-8 = 2 + b

-2 -2

-10 = b

Write equation:

y = 1x -10 or y = x -10

3 0

3 years ago

Find the measure of arc DHG

const2013 [10]

Answer:

128

Step-by-step explanation:

PLEASE RECHECK IF POSSIBLE I GOT 128 AS CIRCLE IS 360 and DIAMETER IS 180 ALSO 90 IS MARKED JUST RECHECH LET SOMEONE ELSE ALSO ANSWER.ALL THE BEST

4 0

3 years ago

Fuaad solved an absolute value inequality and expressed the solution as -12

Zarrin [17]

Inequalities require a sign of greater than, less than, greater than or equal to, or less than or equal to. It's never just a single number solution. It's always going to be a range of solutions

5 0

4 years ago