9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/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
Could help if you showed the rest of the table
Answer:
x - 15 = 22
Step-by-step explanation:
difference in math means subtraction
Answer:
0.8
1.08
$119.22
Sallie does not have enough money to buy the skateboard.
Step-by-step explanation:
If there is a sale for a 20% discount on the regular selling price of a skateboard which is $137.99. So, the discounted price of the skateboard will be given by
So, the discounted sale price of the skateboard without tax can be found by multiplying the regular price by 0.8. (Answer)
Now, the total cost for the skateboard with sales tax can be found by multiplying the discounted sale price by
(Answer)
{Since, the sale tax is 8%}
Therefore, the total cost for the skateboard will be (110.392 × 1.08) = $119.22 (Answer)
Sallie does not have enough money to buy the skateboard because she has only $115. (Answer)