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4 years ago

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How to solve two step equations

1 answer:

ASHA 777 [7]4 years ago

7 0

You must attack it one step at a time.

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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

3 years ago

HELP PLEASE IM BEING TIMED!! WILL GIVE BRAINLIEST!!

kolbaska11 [484]

ANSWER

The correct choice is C.

EXPLANATION

The perimeter of a rectangle is given by;

P=2(w+l)

For the first rectangle, the perimeter is;

P=2(8+4)=24

For the second rectangle, the perimeter is

P=2(8+8)=32

For the third rectangle, the perimeter is

P=2(8+12)=40

The correct choice is C

8 0

4 years ago

Pls help i need the answer

san4es73 [151]

Answer:

(3,22.50)

(6, 33)

Rise/Run using two points

33-22.50/ 6-3

10.5/3

<u>Rate = 3.5</u>

7 0

3 years ago

What is the solution to the equation w+6=5w-10

docker41 [41]

Answer:

w = 4

Step-by-step explanation:

you would do this by re-arranging the equation

6 = 5w-10-w (move w to the other side)

6 = 4w-10 (because 5w-w = 4w)

6+10=4w (move 10 to the other side)

16 = 4w (add 6 and 10)

4 = w (divide both sides by 4)

6 0

3 years ago

At a football game three out of the first five student that arrived were wearing a jacket based on his information if 300 studen

WARRIOR [948]

Answer:

120 students students could be expected to not be wearing a jacket

Step-by-step explanation:

Based on this, we can work with the assumption that 3/5 of the students that entered the stadium were wearing jackets.

Given that the total population of students that attended the game is 300

This means that 3/5 of the 300 = 180 students.

180 students were estimated to be wearing jackets.

The number of students that were without jackets is 300 - 180 = 120 students

7 0

3 years ago