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3 years ago

7

In what quadrant would the following coordinates be found ( -7 , -11 )

2 answers:

levacccp [35]3 years ago

8 0

Answer:

quadrant 3

Step-by-step explanation:

Blizzard [7]3 years ago

4 0

Answer:

Quadrant 3 (✿◠‿◠)

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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 me please <br> Surds

kodGreya [7K]

Answer:

12 $\sqrt{6}$ + 8 $\sqrt{15}$ + 12 + 4 $\sqrt{10}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Given

(4 $\sqrt{3}$ + 2 $\sqrt{2}$ )(3 $\sqrt{2}$ + 2 $\sqrt{5}$ )

Each term in the second factor is multiplied by each term in the first factor, that is

4 $\sqrt{3}$ (3 $\sqrt{2}$ + 2 $\sqrt{5}$ ) + 2 $\sqrt{2}$ (3 $\sqrt{2}$ + 2 $\sqrt{5}$ ) ← distribute both parenthesis

= 12 $\sqrt{6}$ + 8 $\sqrt{15}$ + 12 + 4 $\sqrt{10}$

7 0

3 years ago

Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 5

kobusy [5.1K]

Answer:

6 seconds

Step-by-step explanation:

1/12 mile * 5280 feet/mile = 440 feet per train

50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second

one train has to travel 440 feet to pass the other train

440 feet * 1/(73 1/3) sec/ft = 6 seconds

7 0

3 years ago

Noah says i am finally I am thinking of a number when I multiply it by 5 and subtract 37 the answer is 58

frosja888 [35]

Answer:

19

Step-by-step explanation:

If you go backwards you can to 58+37, which is equal to 95, and the opposite of multiplying is dividing, so If you divide 95 by 5, you get 19

4 0

2 years ago

Simplify (27-17)^2-80

artcher [175]

Answer:

-60

Step-by-step explanation:

7 0

2 years ago