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3 years ago

A line has an x-intercept of 4 and a y-intercept of -2. What is the equation of the line?

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

7 0

Answer:

y=x/2-2

Step-by-step explanation:

it's actually 1/2 times x is how your supposed to write it (like a fraction)

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The radius of a circle is 14.2 m. Find the circumference to the nearest tenth.

lana66690 [7]

Answer:

C=89.2

Step-by-step explanation:

The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.

7 0

3 years ago

-5(x - 4) + 6 = 5(3x+4) -4

jenyasd209 [6]

Answer:

x=1/2

Step-by-step explanation:

-5(x - 4) + 6 = 5(3x+4) -4

WE APPLY DISTRIBUTIVE PROPERTY:

-5*x +5*4 + 6 = 5*3x +5*4 -4

-5x + 26 = 15x +20 -4

26 +4 -20=15x+5x

10=20x

x= 10/20

we have:

x=1/2

3 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: