Answer:
X=2
Y=8
Step-by-step explanation:
Since both equations are equal to y we can equal both equations
2x+4=x+6
x=2
y=2(2)+4
y=8
Answer:
Step-by-step explanation:
x = number of pushups he did
Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.
![x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)](https://tex.z-dn.net/?f=x%5Cpm%20z%5Ctimes%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%28174.5%5Cpm%202.326%5Ctimes%20%5Cdfrac%7B6.9%7D%7B%5Csqrt%7B50%7D%7D%29%5C%5C%5C%5C%3D%28174.5%2B2.26%2C174.5-2.26%29%5C%5C%5C%5C%3D%28176.76%2C172.24%29)
(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be
![\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B6.9%7D%7B%5Csqrt%7B50%7D%7D%5C%5C%5C%5C%3D0.976)
Hence, a) (176.76,172.24), b) 0.976.
Answer:
ok can you give the link
Step-by-step explanation:
The answer is: [B]: " 60° " .
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Because at whatever location, <span>∠2 and ∠4 are vertical angles;
</span>
and all vertical angles have equal measurements.
Given: m∠1 is 120°, and ∠1 is supplementary to ∠2 ;
then m∠1 + m∠2 = 180° .
So, m∠2 = (180 - 120)° = 60° .
As aforementioned:
m∠4 = m∠2 = 60° ; which is: Answer choice: [B]: " 60° " .
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