The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call

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

Samuel hughs sold $7,300 worth of merchandise at 12% commission. find the amount of commission

Sever21 [200]

So you are given the amount he sold which is $7300, and you are given his commission rate so all you have to do is this

7300 x 0.12 = 876

Therefore, his amount of commission is 876 dollars

4 0

3 years ago

Read 2 more answers

James spent no more than $20 at the mall. Write an inequality to represent how much James spent.

zepelin [54]

Answer:

F

Step-by-step explanation:

F

4 0

2 years ago

Read 2 more answers

I need help with this and I don’t understand it

DochEvi [55]

Lets break it down:

The bottom right picture shows an approximation of what 1 wingspan length is, and the goal is to estimate lengths.

A. 1 wing is approx. 7 meters. To find the wingspan of the plane just do 7 meters multiplied by 2 = 14 meters (approx wingspan). Now we convert (remember, to the nearest foot!)

14 meters = 45.93 ft

Round it to the nearest foot = 46 ft is your approx. wingspan.

B. The height. This is one is a little tricky! Lets try to use what we know:

1 wing is approx. 7 meters. Since these are approximations, lets say half of one wing is roughly the size of the height of the plane. Since these are approximations I'd say 4 meters.

4 meters = 13 ft (rounded).

I checked online for the specs of the Lysander and the exact height is 14 ft 6 in and wingspan is 50 ft. This means our approximations were correct!

C. The length would be 10 ft + 7 meters

10 ft = 3 meters (rounded)

3 meters + 7 meters = 10 meters

(converting to meters then to ft at the end because it's less messy)

10 meters = 33 ft (rouned)

length of the Lysander is approx. 33 ft!

(the real length is 30 ft 6 in)

This means our approximations were correct once more.

Hopefully this helped you and made your night/day easier.

5 0

3 years ago

Emily collected $950 selling Girl Scout cookies all day Saturday. Emily's troop collected 10 times as much as she did. How much

LuckyWell [14K]

Since the troop made 10 times her then you multiply 950 by 10 and that will give you 9510

6 0

3 years ago

Read 2 more answers