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Alik [6]
3 years ago
14

Work out the equation of the line which has a gradient of 1/2 and passes through the point (4,-2) ❗️THIS IS DUE PRETTY SOON SO H

ELP IS APPRECIATED !!!❗️

Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

When slope and 1 point are known:

m = (1/2) x = 4 and y = -2

We first calculate "b"

b = y -mx

b = -2 -.5 * 4

b = -2 -2

b = -4

Then, we enter the value of "b" and the slope into this equation:

y = mx + b

y = .5x -4

Source: https://1728.org/distance.htm

Step-by-step explanation:

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3 years ago
A ball is released from a height of 180 meters. In the first second, the ball drops 5 meters, in the second 15 meters, in the 3r
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a. 4

Step-by-step explanation:

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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:

\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
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Answer:

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Step-by-step explanation:

You start with 4 servings of macaroni and cheese with 310 calories per serving. She made 1 1/2 times more of the 4 servings. 1 1/2 as a decimal is 1.5, and 1.5 times 4 is 6. With 310 calories per serving you get the problem 6 x 310 which equals 1,860. Therefore, there are 1,860 calories in Maeve's mac n' cheese

5 0
3 years ago
I really don’t know how to do this and i could really use some help :) please
Firlakuza [10]

Answer:oh goodness

Step-by-step explanation:

3 0
3 years ago
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