Scale ratios are used to enlarge or compress a shape.
- <em>The scale factor is 13.</em>
- <em>The transformation rule is </em>
<em>.</em> - <em>The mural will not distorted, because the sides are changed evenly.</em>
Given
![Scale = 5ft:6ft](https://tex.z-dn.net/?f=Scale%20%3D%205ft%3A6ft)
![Final = 65ft:78ft](https://tex.z-dn.net/?f=Final%20%3D%2065ft%3A78ft)
To get the scale factor (k), we simply divide the final measurement by the scale measurement.
So, we have:
![k = \frac{Final}{Scale}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7BFinal%7D%7BScale%7D)
<u>For the length, we have:</u>
![k = \frac{65ft}{5ft}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B65ft%7D%7B5ft%7D)
![k = 13](https://tex.z-dn.net/?f=k%20%3D%2013)
<u>For the width, we have:</u>
![k = \frac{78ft}{6ft}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B78ft%7D%7B6ft%7D)
![k = 13](https://tex.z-dn.net/?f=k%20%3D%2013)
Hence, the scale factor is 13
<u>And the transformation is:</u>
![(x,y) \to 13(x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%2013%28x%2Cy%29)
This implies that, the muralist can apply
for the transformation
Hence;
<em>(a) The mural will not distorted, because the sides are changed evenly.</em>
Read more about scale ratios at:
brainly.com/question/16713785
Answer:
We can calculate the p value using the fact that we are conducting a right tailed test:
Since the p value i approximately 0 we can conclude that we have enough evidence to say that with this method, the probability of a baby being a boy is significantly greater than 0.5
Step-by-step explanation:
Information given
n=172+39=211 represent the sample size
X=172 represent the number of boys in the sample
estimated proportion of of boys
is the value to verify
z would represent the statistic
represent the p value
Hypothesis to test
The ides is verify if with this method, the probability of a baby being a boy is greater than 0.5, so then the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statitic is given by:
(1)
Replacing the info we got:
We can calculate the p value using the fact that we are conducting a right tailed test:
Since the p value i approximately 0 we can conclude that we have enough evidence to say that with this method, the probability of a baby being a boy is significantly greater than 0.5
She started with x books. She purchased 3 more.
Add the two amounts (x and 3) to find out the number of books she has now.
Now she has x + 3 books.
We are told she now has 11 books, so x + 3 must equal 11.
The equation is x + 3 = 11
Answer: C.) x + 3 = 11
Answer:
a) 0.80
b) 0.72
c) 0.02
Step-by-step explanation:
It is assumed that
X = Bit transmitted
Y = Bit received
= Transmissted bit is 0
= Transmissted bit is 1
= Received bit is 0
= Received bit is 1
As per the given condition
P [
|
] = 90%
P [
|
] = 100% - 90% = 10%
P [
|
] = 74%
P [
|
] = 100% - 74% = 26%
P [ Tramitted bits are 0 ] = 80%
Now calculate each situation
a)
As all the transmitted bits are o has possibilit of 80% then
P [ X = 0 ] = P [
] = 80% = 0.80
b)
P [ X = 0, Y = 0 ] = P [
,
] = P [
|
] x P [
] = 90% x 80% = 72% = 0.72
c)
P [ X = 1, Y = 0 ] = P [
,
] = P [
|
] x P [
] = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02
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Hope this helps!
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