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3 years ago

I need help on this question

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

I and III

Step-by-step explanation:

substitute 2 for y in each equation.

-9 + 27 = 18

-18 + 27 = 9

5(27) = 135

2(27) = 54

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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

State whether each percent of change is a percent increase or a percent decrease. Then find the percent of increase or decrease

Otrada [13]

Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing

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3 years ago

The Petersons deposited $1,000 in an account that earns 2% annual simple interest. How many years will it take the amount in the

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3 years ago

A table costs $50 more than a chair. The cost of 6 chairs and 1 table is $750. The equation 6x + x + 50 = 750, where x is the co

Varvara68 [4.7K]

The equation representing the cost of 6 chairs and a table is:

6x + x + 50 = 750

⇒
7x = 700

This equation is true for x = 100 because:

7(100) = 700

So, the cost of one chair will be $100.

Cost of table is $50 more than a chair, so the cost of one table is $150.

So the answers are:
$ 100
$ 100
$ 150

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3 years ago

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Robin has 43 toys in her toy chest. She has 17 more toys than Kayla. How many toys does Kayla have ?

Komok [63]

43 - 17 = 26

Kayla has 26 toys

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3 years ago

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