Take away 9 from 4 times y

Using the normal distribution, it is found that there is a 0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

It measures how many standard deviations the measure is from the mean.

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, we have that:

The mean is of $\mu = 20.05$ .

The standard deviation is of $\sigma = 0.02$ .

The probability that a diode selected at random would have a length less than 20.01mm is the <u>p-value of Z when X = 20.01</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20.01 - 20.05}{0.02}$

$Z = -2$

$Z = -2$ has a p-value of 0.0228.

0.0228 = 2.28% probability that a diode selected at random would have a length less than 20.01mm.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

2 years ago

On a coordinate plane, a curved line labeled f of x with a minimum value of (1.9, negative 5.7) and a maximum value of (0, 2), c

deff fn [24]

Answer:

(a) F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

Wherever the function crosses the x-axis, its sign changes. This lets us make a map of the signs of the function, and identify intervals where it is positive and negative.

<h3>Sign changes</h3>

The x-intercepts are said to be at x ∈ {-0.7, 0.76, 2.5}. These three crossing points divide the graph into four (4) intervals. The sign of the function is given as positive at x=0 and negative at x = 1.9. So, our sign map is ...

< -0.7 . . . . . negative

-0.7 to 0.76 . . . . . positive (2 at x=0, for example)

0.76 to 2.5 . . . . . negative (-5.7 at 1.9, for example)

> 2.5 . . . . . positive

Choosing from the descriptions, the one that matches is ...

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

3 0

2 years ago

Write an expression in the simplest form that represents the perimeter of the polygon

gtnhenbr [62]

Answer:

9+29x

Step-by-step explanation:

Hope it helps! :3

plz mark as brainliest!

7 0

3 years ago