To solve this problem we can think of a rule of three.
Writing the rule of three we have:
3 ---> 2
x ----> 18
Clearing the value of x
x = ((18) / (2)) * (3) = 27
answer
zak will take 27 steps if rich takes 18 steps
The study of explanatory or independent differences based on the dependent variable is a simple statistical method. The correlation between two variables is researched in which only the explanatory variable of them would be present, and the further discussion can be defined as follows:
For point (i):
- The log(distances) seem to be optimistic, and their valuation is 0.312, which also means that the cost of a house will rise even as the distance increases.
- In this, the certainly is what everybody expects the better the house from the sewage treatment is from a hygienic viewpoint.
For point (ii):
- In this regard, we cannot use straightforward regression, even as non-biased price estimation might not even be provided.
- The price-distance relationship here is not so much linear.
For point (iii):
- Several factors influence the house's price, the biggest contributor is house length, market nearness or public areas, number of rooms, etc.
- Thus the only influence is not the mere distance from the incinerator. It's one of the factors affecting housing pricing.
- The proximity of markets and places can be connected to the distance from the crematorium.
- However, factors such as house size and the number of stories aren't related to the distance from the incineration plant.
Learn more:
brainly.com/question/19729277
Answer:
![\large\boxed{A=153\ cm^2}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BA%3D153%5C%20cm%5E2%7D)
Step-by-step explanation:
<em>Look at the picture.</em>
We have
square with side length a = 9
trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6
right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6
The formula of an area of a square
![A=a^2](https://tex.z-dn.net/?f=A%3Da%5E2)
Substitute:
![A_I=9^2=81\ cm^2](https://tex.z-dn.net/?f=A_I%3D9%5E2%3D81%5C%20cm%5E2)
The formula of an area of a trapezoid:
![A=\dfrac{b_1+b_2}{2}\cdot h](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bb_1%2Bb_2%7D%7B2%7D%5Ccdot%20h)
Substitute:
![A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2](https://tex.z-dn.net/?f=A_%7BII%7D%3D%5Cdfrac%7B9%2B6%7D%7B2%7D%5Ccdot6%3D%5Cdfrac%7B15%7D%7B2%5C%21%5C%21%5C%21%5C%21%5Cdiagup_1%7D%5Ccdot6%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5E3%3D%2815%29%283%29%3D45%5C%20cm%5E2)
The formula of an area of a right triangle:
![A=\dfrac{l_1l_2}{2}](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7Bl_1l_2%7D%7B2%7D)
Substitute:
![A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2](https://tex.z-dn.net/?f=A_%7BIII%7D%3D%5Cdfrac%7B%289%29%286%29%7D%7B2%7D%3D%5Cdfrac%7B54%7D%7B2%7D%3D27%5C%20cm%5E2)
The area of the shape:
![A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2](https://tex.z-dn.net/?f=A%3DA_I%2BA_%7BII%7D%2BA_%7BIII%7D%5C%5C%5C%5CA%3D81%2B45%2B27%3D153%5C%20cm%5E2)
8 ounces because 1 quart equals 36 ounces. 36 Divided by her and her 3 friends equals 8 since 36 divided by four equals eight.
Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,
![P(\hat{p}](https://tex.z-dn.net/?f=P%28%5Chat%7Bp%7D%3Cp%29%20%3D%20P%28Z%3C%5Chat%7Bp%7D%20-%20%5Cfrac%7Bp%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%7D%20%20%7D%20%29)
So,
![(P(\hat{p}>0.743) = P(Z>0.743 - \frac{0.74}{\sqrt{\frac{0.74(1-0.74)}{81} } } )](https://tex.z-dn.net/?f=%28P%28%5Chat%7Bp%7D%3E0.743%29%20%3D%20P%28Z%3E0.743%20-%20%5Cfrac%7B0.74%7D%7B%5Csqrt%7B%5Cfrac%7B0.74%281-0.74%29%7D%7B81%7D%20%7D%20%20%7D%20%29)
= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.