So what we're dealing with here is a similar triangle situation. Since ML is a midsegment, that means that IL and LJ are congruent. So, IL=LJ=13. This means that the whole side IJ is 26 (13+13=26). We also know that triangle IML and triangle IKJ are similar triangles, so their sides are proportional. This means that we can set up the ratio:
12/13 = x/26
and solve for x.
After multiplying 26 to both sides of the equation, we find that x=24, so KJ=24.
If the bedroom is 6 times as square feet as his closet then (36/6=6) his closet has an area of 6 sqft.
6/3=2
the length of the closet it 2
Answer:
Follows are the solution to the given choices:
Step-by-step explanation:
In choice a:
![\to \mu = 100](https://tex.z-dn.net/?f=%5Cto%20%5Cmu%20%3D%20100)
In choice b:
![\to \mu \neq 100](https://tex.z-dn.net/?f=%5Cto%20%5Cmu%20%5Cneq%20100)
In choice c:
![\to \ pop \ average=100 \\\\ \to \ variance \ of \ pop = 100 \\\\\to pop \ \ \sigma = \sqrt {(!00)} \\](https://tex.z-dn.net/?f=%5Cto%20%5C%20pop%20%20%5C%20average%3D100%20%5C%5C%5C%5C%20%5Cto%20%5C%20variance%20%5C%20of%20%5C%20pop%20%3D%20100%20%20%5C%5C%5C%5C%5Cto%20pop%20%20%5C%20%5C%20%20%5Csigma%20%3D%20%5Csqrt%20%7B%28%2100%29%7D%20%5C%5C)
= 10
![z= \frac{\bar x - \mu}{ \frac{\sigma}{\sqrt(n)}}\\\\](https://tex.z-dn.net/?f=z%3D%20%5Cfrac%7B%5Cbar%20x%20-%20%5Cmu%7D%7B%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%28n%29%7D%7D%5C%5C%5C%5C)
![=\frac{(105-100)}{\frac{10}{ \sqrt(16)}}\\\\=\frac{(5)}{ \frac{10}{4}}\\\\=\frac{5}{ \frac{5}{2}}\\\\= \frac{10}{5}\\\\=2](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28105-100%29%7D%7B%5Cfrac%7B10%7D%7B%20%5Csqrt%2816%29%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B%285%29%7D%7B%20%5Cfrac%7B10%7D%7B4%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%7D%7B%20%5Cfrac%7B5%7D%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B10%7D%7B5%7D%5C%5C%5C%5C%3D2)
![\to p==2\times (1- \ righttail)\\\\\to \ righttail\ \ p = \text{NORM.S.DIST(2,TRUE)}](https://tex.z-dn.net/?f=%5Cto%20p%3D%3D2%5Ctimes%20%281-%20%5C%20righttail%29%5C%5C%5C%5C%5Cto%20%5C%20righttail%5C%20%5C%20p%20%3D%20%5Ctext%7BNORM.S.DIST%282%2CTRUE%29%7D)
![=0.977249868](https://tex.z-dn.net/?f=%3D0.977249868)
![\therefore \\P=2 \times (1-0.9772)\\\\P=0.0455\\\\P](https://tex.z-dn.net/?f=%5Ctherefore%20%5C%5CP%3D2%20%5Ctimes%20%281-0.9772%29%5C%5C%5C%5CP%3D0.0455%5C%5C%5C%5CP%3C0.05%20%5C%5C)
Null hypothesis to dismiss
Alternate solution assumptions embrace
There is really no valid proof at the 5% stage that
Knowledge is legacy
In choice d:
Possibly information such as this reflect a sample population with such a true p = 0.0455 meaning in the hypothesis
u is around 100.
11 +001
Answer:
1/4
Step-by-step explanation:
ΔY
ΔX = 3 - 2/-4-(-8)
=1/4
The slashes are fractions btw