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Mamont248 [21]
3 years ago
9

A square has a side length of 36 feet. This square is dilated by a scale factor of 23 to create a new square. What is the side l

ength of the new square
Mathematics
2 answers:
aleksklad [387]3 years ago
7 0
The scale factor is 2:1.
iogann1982 [59]3 years ago
6 0
The scale factor is 2:1. Hope this helps you
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A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is
Norma-Jean [14]

Answer:

A. P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

Step-by-step explanation:

Working with an ordinary Normal Distribution of probability and trying to find the probabilities asked in it could be difficult, because there´s no easy method to find probabilities in a generic Normal Distribution (with mean μ=4 and STD σ=0.1). The recommended approach to this question is to use a process called "Normalize", this process let us translate the problem of any Normal Distribution to a Standard Normal Distribution (μ=0 and σ=1) where there´s easier ways to find probabilities in there. The "Normalization" goes as follows:

Suppose you want to know P(x<a) of the Normal Distribution you are working with:

P(x<a)=P( (x-μ)/σ < (a-μ)/σ )=P(z<b)   ( b=(a-μ)/σ )

Where μ is the mean and σ is the STD of your Normal Distribution. Notice P(z<b) now it´s a probability in a Standard Normal Distribution, now we can find it using the available method to do so. My favorite is a chart (It´s attached to this answer) that contains a lot of probabilities in a Standard Normal Distribution. Let´s solve this as an example

A. We want to find the probability of the cork being defective (P(x<3.85) + P(x>4.15)). Now we find those separated and, then, add them for our answer.

Let´s begin with P(x<3.85), we start by normalizing that probability:

P(x<3.85)= P( (x-μ)/σ < (3.85-4)/0.1 )= P(z<-1.5)

And now it´s time to use the chart, it works like this: If you want P(z<c) and the decimal expansion of c=a.bd... , then:

P(z<c)=(a.b , d)

Where (a.b , d) are the coordinates of the probability in the chart. Keep in mind that will only work with "<" (It won´t work directly with P(z>c)) and we will do some extra work in those cases.

P(z<-1.5) is in the coordinates (-1.5 , 0)

P(z<-1.5)= 0.0668

P(x<3.85)= 0.0668

Now we are looking for P(x>4.15), let´s Normalize it too:

P(x>4.15)=P( (x-μ)/σ < (4.15-4)/0.1 )=P(z>1.5)

But remember the chart only work with "<", so we need to use a property of probability:

P(z>1.5)= 1 - P(z<1.5)

Using the chart:

P(z<1.5)=0.9332                             (1.5 , 0)

P(z>1.5)= 1 - 0.9332

P(z>1.5)= 0.0668

P(x>4.15)= 0.0668

And our final answer will be:

P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

4 0
3 years ago
​ ∠3 ​ and​ ​ ∠4 ​ ​are complementary adjacent angles. m∠4=49° What is the measure of ​​ ∠3 ​?
neonofarm [45]
41°. 90-49=41 mmkmmmm
6 0
3 years ago
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Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just com
Komok [63]

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

4 0
3 years ago
396 divided by 9 =...?
raketka [301]

Answer: 44

Step-by-step explanation: 396/9 = 44

3 0
3 years ago
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Write the function that shows a translation of f(x) two units to the left.
Galina-37 [17]

Answer:

Step-by-step explanation:

Suppose the base formula is y = x^2

You want to go two units left.

basically that is y = (x + 2)^2 just the opposite of what you might think it should be.

Where does the base function have a minimum? It's minimum is as x = 0 and y = 0

Where does y = (x + 2)^2 have it's minimum?

(-2,0)

conclusion. The base function has moved 2 units to the left.

3 0
3 years ago
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