We use the Pythagorean theorem to determine if the side lengths given will result to either a right, acute, or obtuse triangle.
a = 7 ; b = 24 ; c = 26
a² + b² = c² ⇒ right triangle
a² + b² > c² ⇒ acute triangle
a² + b² < c² ⇒ obtuse triangle
7² + 24² = > < 26²
49 + 576 = > < 676
625 < 676 OBTUSE TRIANGLE
Answer:
The answer to your question is: y = 4x + 6
Step-by-step explanation:
Data
slope = 4
y- intercept = 6
Formula
y = mx + b
Substitution
y = 4x + 6
Answer: a) 1.07, b) 0.1423
Step-by-step explanation:
Since we have given that
n = 1400
Number of voters vote for Republican candidates = 720
So, ![\hat{p}=\dfrac{720}{1400}=0.514286](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%3D%5Cdfrac%7B720%7D%7B1400%7D%3D0.514286)
And hypothesis are :
![H_0:p=0.50\\\\H_a:p>0.50](https://tex.z-dn.net/?f=H_0%3Ap%3D0.50%5C%5C%5C%5CH_a%3Ap%3E0.50)
(a) What is the z -statistic for this test?
![z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.514286-0.50}{\sqrt{\dfrac{0.50\times 0.50}{1400}}}\\\\z=1.06609\approx 1.07](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B0.514286-0.50%7D%7B%5Csqrt%7B%5Cdfrac%7B0.50%5Ctimes%200.50%7D%7B1400%7D%7D%7D%5C%5C%5C%5Cz%3D1.06609%5Capprox%201.07)
(b) What is the P-value of the test?
p-value = P(Z>Z(statistics))
![P(z>1.07)\\\\=0.1423](https://tex.z-dn.net/?f=P%28z%3E1.07%29%5C%5C%5C%5C%3D0.1423)
Hence, a) 1.07, b) 0.1423
$165 x 48 = $7920 which is what he has to pay in total for 48 months
$7920 + $299 = $8219
therefore, the total he pays for his car is $8219 :)
The answer is 105 because 180-75=105