Someone do this and explain for brain liest :D explain how u do it and yes

Let X denote the number of flaws along a 100-m reel of magnetic tape (an integer-valued variable). Suppose Zdenote the number of

Lemur [1.5K]

Answer:

a) $P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

b) $P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

c) $P(X$

And if we use the continuity correction we got:

$P(X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Continuity correction means that we need to add and subtract 0.5 before standardizing the value specified.

Part a

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,5)$

Where $\mu=25$ and $\sigma=5$

Part a

For this case we want to find this probability:

$P(20 \leq X \leq 30) = P(20-0.5 \leq X \leq 30+0.5)$

And if we use the z score given by:

$z =\frac{x-\mu}{\sigma}$

We got this:

$P(19.5 \leq X \leq 30.5) = P(\frac{19.5-25}{5} \leq Z \leq \frac{30.5 -25}{5})=P(-1.1 \leq Z \leq 1.1)$

And we can find this probability like this:

$P(-1.1 \leq Z \leq 1.1)= P(Z\leq 1.1) -P(Z\leq -1.1) = 0.864-0.136= 0.728$

Part b

For this case we want this probability:

$P(X \leq 30)$

And if we use the continuity correction we got:

$P(X \leq 30)= P(X$

And using the z score we got:

$P(X$

Part c

For this case we want this probability:

$P(X$

And if we use the continuity correction we got:

$P(X$

3 0

3 years ago

A water hose had filled up 1/8 of a pool after 1/2 of an hour. At this rate, how many hours would it take to fill the pool.

GenaCL600 [577]

4 hours. You would multiply 1/8 by 1/2 and get 4.

8 0

3 years ago

Can somebody help, will give brainliest

grigory [225]

9514 1404 393

Answer:

c = 2
segments 10, 8, 6 (top down)

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

(c² +6) +(c² +2) = 2(4c)

2c² -8c +8 = 0 . . . . . . . . . subtract 8c

2(c -2)² = 0 . . . . . . . . factor

c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

5 0

3 years ago

[I have no idea how to do this]

jekas [21]

Answer:

We have 16 ounces of 3% H2O2

How many ounces of 30% H2O2 do we add to make a 10% H2O2 solution?

let x = amount of ounces of 30% H2O2 to add

.03 * 16 + .30x = .10 * (16 + x)

.48 + .30x = 1.6 + .1x

.2x = 1.12

x = 5.6 ounces

Source:

https://www.1728.org/mixture.htm

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Katie cut out a rectangular piece of wrapping paper that was 2 times as long and 3 times as wide as the box that she was wrappin

kotegsom [21]

2*5=10 (the measure of one long side is 10)
3*4=12 (the measure of one wide side is 12)

A box has four sides to the perimeter of the flat wrapping paper must consist of four edges. Because we know that one edge is 10 inches long and another side is 12 inches wide we assume that the corresponding sides are equal.

So now we know that we have two sides that are 10 inches and 2 sides that are 12 inches.

10+10+12+12= 44 inches

3 0

4 years ago